Samacheer Kalvi 8th Maths Guide Chapter 1 Numbers InText Questions

Tamilnadu State Board New Syllabus Samacheer Kalvi 8th Maths Guide Pdf Chapter 1 Numbers InText Questions Text Book Back Questions and Answers, Notes.

Tamilnadu Samacheer Kalvi 8th Maths Solutions Chapter 1 Numbers InText Questions

Recap Exercise (Text Book Page No. 3)

Question 1.
The simplest form of \(\frac{125}{200}\) is
Answer:
\(\frac{125}{200}=\frac{125 \div 25}{200 \div 25}=\frac{5}{8}\)
= \(\frac{5}{8}\)

Samacheer Kalvi 8th Maths Guide Chapter 1 Numbers InText Questions

Question 2.
Which of the following is not an equivalent fraction of \(\frac{8}{12}\) ?
(A) \(\frac{2}{3}\)
(B) \(\frac{16}{24}\)
(C) \(\frac{32}{60}\)
(D) \(\frac{24}{36}\)
Answer:
(C) \(\frac{32}{60}\)
\(\frac{8}{12}=\frac{8+4}{12 \div 4}=\frac{2}{3}\)
\(\frac{8}{12}=\frac{8 \times 2}{12 \times 2}=\frac{16}{24}\)
\(\frac{8}{12}=\frac{8 \times 3}{12 \times 3}=\frac{24}{36}\)
But \(\frac{32}{60}=\frac{32 \div 5}{60 \div 5}=\frac{6.4}{12}\)
∴ \(\frac{32}{60}\) is not equivalent fraction of \(\frac{8}{12}\)

Question 3.
Which is bigger \(\frac{8}{9}\) or \(\frac{4}{5}\) ?
Answer:
LCM of 5 and 9 = 45
Samacheer Kalvi 8th Maths Guide Answers Chapter 1 Numbers InText Questions 1
\(\frac{8}{9}\) is bigger than \(\frac{4}{5}\)

Samacheer Kalvi 8th Maths Guide Chapter 1 Numbers InText Questions

The LCM of 12 and 16 is 48.

Question 4.
Add the fractions : \(\frac{3}{5}+\frac{5}{8}+\frac{7}{10}\).
Answer:
LCM of 5, 8, 10 = 5 × 2 × 4
= 40
Samacheer Kalvi 8th Maths Guide Answers Chapter 1 Numbers InText Questions 2
Samacheer Kalvi 8th Maths Guide Answers Chapter 1 Numbers InText Questions 3

Question 5.
Simplify: \(\frac{1}{8}-\left(\frac{1}{6}-\frac{1}{4}\right)\)
Answer:
Samacheer Kalvi 8th Maths Guide Answers Chapter 1 Numbers InText Questions 4

Question 6.
Multiply: \(2 \frac{3}{5}\) and \(1 \frac{4}{7}\).
Answer:
\(2 \frac{3}{5} \times 1 \frac{4}{7}=\frac{13}{5} \times \frac{11}{7}=\frac{143}{35}=4 \frac{3}{35}\)

Question 7.
Divide \(\frac{7}{36}\) by \(\frac{35}{81}\).
Answer:
\(\frac{7}{36}+\frac{35}{81}=\frac{7}{36} \times \frac{81}{35}=\frac{9}{20}\)

Question 8.
Samacheer Kalvi 8th Maths Guide Answers Chapter 1 Numbers InText Questions 5
Answer:
Samacheer Kalvi 8th Maths Guide Answers Chapter 1 Numbers InText Questions 6

Samacheer Kalvi 8th Maths Guide Chapter 1 Numbers InText Questions

Question 9.
In a city \(\frac{7}{20}\) of the population are women and \(\frac{1}{4}\) are children. Find the fraction of the population of men.
Answer:
Let the total population = 1
Population of men = Total population – Women – Children
Samacheer Kalvi 8th Maths Guide Answers Chapter 1 Numbers InText Questions 7
∴ Population of men = \(\frac{2}{5}\)

Question 10.
Represent \(\left(\frac{1}{2}+\frac{1}{4}\right)\) by a diagram.
Answer:
Samacheer Kalvi 8th Maths Guide Answers Chapter 1 Numbers InText Questions 8

Samacheer Kalvi 8th Maths Guide Chapter 1 Numbers InText Questions

Try These (Text Book Page No. 3)

Question 1.
Is the number -7 a rational number? Why?
Answer:
A rational number, Because – 7 = \(\frac{-14}{2}=\frac{p}{q}\)

Question 2.
Write any 6 rational numbers between 0 and 1.
Answer:
\(\frac{1}{2}, \frac{1}{3}, \frac{1}{4}, \frac{1}{5}, \frac{1}{6}, \frac{1}{7}\)

Try These (Text Book Page No. 4)

That’s literally all there is to it! 1/8 as a decimal is 0.125.

Write the decimal forms of the following rational numbers:

Question 1.
\(\frac{4}{5}\)
Answer:
\(\frac{4}{5}=\frac{4 \times 20}{5 \times 20}=\frac{80}{100}=0.80\)

Question 2.
\(\frac{6}{25}\)
Answer:
\(\frac{6}{25}=\frac{6 \times 4}{25 \times 4}=\frac{24}{100}=0.24\)

Samacheer Kalvi 8th Maths Guide Chapter 1 Numbers InText Questions

Question 3.
\(\frac{486}{1000}\)
Answer:
\(\frac{486}{1000}\) = 0.486

Question 4.
\(\frac{1}{9}\)
Answer:
Samacheer Kalvi 8th Maths Guide Answers Chapter 1 Numbers InText Questions 9
\(\frac{1}{9}\) = 0.11….

Question 5.
\(3 \frac{1}{4}\)
Answer:
Samacheer Kalvi 8th Maths Guide Answers Chapter 1 Numbers InText Questions 10
\(3 \frac{1}{4}\) = \(\frac{13}{4}\) = 3.25

That’s literally all there is to it! 5/8 as a decimal is 0.625.

Question 6.
\(-2 \frac{3}{5}\)
Answer:
Samacheer Kalvi 8th Maths Guide Answers Chapter 1 Numbers InText Questions 11
\(-2 \frac{3}{5}\) = \(\frac{-13}{5}\) = -2.6

Samacheer Kalvi 8th Maths Guide Chapter 1 Numbers InText Questions

Try These (Text Book Page No. 6)

Question 1.
\(\frac{7}{3}=\frac{?}{9}=\frac{49}{?}=\frac{-21}{?}\)
Answer:
Samacheer Kalvi 8th Maths Guide Answers Chapter 1 Numbers InText Questions 12

Question 2.
\(\frac{-2}{5}=\frac{?}{10}=\frac{6}{?}=\frac{-8}{?}\)
Answer:
Samacheer Kalvi 8th Maths Guide Answers Chapter 1 Numbers InText Questions 13
Samacheer Kalvi 8th Maths Guide Answers Chapter 1 Numbers InText Questions 14

Try These (Text Book Page No. 7)

Question 1.
Which of the following pairs represents equivalent rational numbers?
(i) \(\frac{-6}{4}, \frac{18}{-12}\)
(ii) \(\frac{-4}{-20}, \frac{1}{-5}\)
(iii) \(\frac{-12}{-17}, \frac{60}{85}\)
Answer:
(i) \(\frac{-6}{4}, \frac{18}{-12}\)
\(\frac{-6}{4}=\frac{-6 \times 3}{4 \times 3}=\frac{-18}{12}\)
∴ \(\frac{-6}{4}\) equivalent to \(\frac{-18}{12}\)

(ii) \(\frac{-4}{-20}, \frac{1}{-5}\)
\(\frac{-4}{-20}=\frac{-4 \div(-4)}{-20 \div(-4)}=\frac{1}{5} \neq-\frac{1}{5}\)
∴ \(\frac{-4}{-20}\) equivalent to \(\frac{1}{-5}\)

(iii) \(\frac{-12}{-17}, \frac{60}{85}\)
\(\frac{-12}{-17}=\frac{-12 x-5}{-17 x-5}=\frac{60}{85}\)
∴ \(\frac{-12}{-17}\) equivalent to \(\frac{60}{85}\)

Samacheer Kalvi 8th Maths Guide Chapter 1 Numbers InText Questions

Question 2.
Find the standard form of
(i) \(\frac{36}{-96}\)
(ii) \(\frac{-56}{-72}\)
(iii) \(\frac{27}{18}\)
Answer:
(i) \(\frac{36}{-96}\)
= \(\frac{-36 \div 12}{96 \div 12}=\frac{-3}{8}\)

(ii) \(\frac{-56}{-72}\)
= \(\frac{-56 \div(-8)}{-72 \div(-8)}=\frac{7}{9}\)

(iii) \(\frac{27}{18}\)
= \(1 \frac{9}{18}=1 \frac{1}{2}\)

Question 3.
Mark the following rational numbers on a number line.
(i) \(\frac{-2}{3}\)
Answer:
\(\frac{-2}{3}\) lies betveen 0 and -1.
T?ìe unit part between O and —lis divided into 3 equal parts and second part is taken.
Samacheer Kalvi 8th Maths Guide Answers Chapter 1 Numbers InText Questions 15

(ii) \(\frac{-8}{-5}\)
Answer:
\(\frac{-8}{-5}\) = \(1 \frac{3}{5}\)
\(1 \frac{3}{5}\) lies between I and 2, The unit part between I and 2 is divided into 5 equal parts and the third part is taken.
Samacheer Kalvi 8th Maths Guide Answers Chapter 1 Numbers InText Questions 16

(iii) \(\frac{5}{-4}\)
Answer:
\(\frac{5}{-4}\) = \(-\frac{5}{4}\) = \(-1 \frac{1}{4}\)
\(-1 \frac{1}{4}\) lies between -1 and -2. The unit part between -1 and -2 is divided into four equal parts and the first part is taken.
Samacheer Kalvi 8th Maths Guide Answers Chapter 1 Numbers InText Questions 17

Samacheer Kalvi 8th Maths Guide Chapter 1 Numbers InText Questions

Think (Text Book Page No. 15)

Is zero a rational number? If so, what is its additive inverse
Answer:
Yes zero a rational number Additive inverse of zero is zero.

Think (Text Book Page No. 16)

What is the multiplicative inverse of 1 and -1?
Answer:
Multiplicative inverse of 1 is 1 and -1 is -1.

Try These (Text Book Page No. 16)

Divide
(i) \(\frac{-7}{3}\) by 5
(ii) 5 by \(\frac{-7}{3}\)
(iii) \(\frac{-7}{3}\) by \(\frac{35}{6}\)
Answer:
(i) \(\frac{-7}{3}\) by 5
Samacheer Kalvi 8th Maths Guide Answers Chapter 1 Numbers InText Questions 18

(ii) 5 by \(\frac{-7}{3}\)
Samacheer Kalvi 8th Maths Guide Answers Chapter 1 Numbers InText Questions 19

(iii) \(\frac{-7}{3}\) by \(\frac{35}{6}\)
Samacheer Kalvi 8th Maths Guide Answers Chapter 1 Numbers InText Questions 20

Samacheer Kalvi 8th Maths Guide Chapter 1 Numbers InText Questions

Try These (Text Book Page No. 20)

The closure property on integers holds for subtraction and not for division. What about rational numbers? Verify.
Answer:
Let 0 and \(\frac{1}{2}\) te two rational numbers 0 – \(\frac{1}{2}\) = –\(\frac{1}{2}\) is a rational numter
∴ Closure property for subtraction holds for rational numbers.
But consider the two rational number \(\frac{5}{2}\) and 0.
\(\frac{5}{2}\) + 0 = \(\frac{5}{2 \times 0}=\frac{5}{0}\)
Here denominator = 0 and it is not a rational number.
∴ Closure property is not true for division of rational numbers.

Try These (Text Book Page No. 22)

(i) Is \(\frac{3}{5}-\frac{7}{8}=\frac{7}{8}-\frac{3}{5}\) ?
Answer:
Samacheer Kalvi 8th Maths Guide Answers Chapter 1 Numbers InText Questions 21
LHS ≠ RHS
∴ \(\frac{3}{5} \div \frac{7}{8}\) ≠ \(\frac{7}{8}-\frac{3}{5}\)
∴ Subtraction of rational numbers is not commutative.

(ii) \(\frac{3}{5} \div \frac{7}{8}=\frac{7}{8} \div \frac{5}{3}\)? So, what do you conclude?
Answer:
Samacheer Kalvi 8th Maths Guide Answers Chapter 1 Numbers InText Questions 22
LHS ≠ RHS
∴ \(\frac{3}{5} \div \frac{7}{8}\) ≠ \(\frac{7}{8} \div \frac{5}{3}\)
∴ Commutative property not hold good br division of rational numbers.

Samacheer Kalvi 8th Maths Guide Chapter 1 Numbers InText Questions

Try This (Text Book Page No. 22)

Check whether associative property holds for subtraction and division.
Answer:
Consider for rational numbers \(\frac{2}{3}, \frac{1}{2}\) and \(\frac{3}{4}\)
Samacheer Kalvi 8th Maths Guide Answers Chapter 1 Numbers InText Questions 23
∴ Associative property not holds for subraction of rational numbers
Samacheer Kalvi 8th Maths Guide Answers Chapter 1 Numbers InText Questions 24
Samacheer Kalvi 8th Maths Guide Answers Chapter 1 Numbers InText Questions 25
∴ Associative property not holds for division of rational numbers

Samacheer Kalvi 8th Maths Guide Chapter 1 Numbers InText Questions

Try This (Text Book Page No. 25)

Question 1.
Observe that,
\(\frac{1}{1.2}+\frac{1}{2.3}=\frac{2}{3}\)
\(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}=\frac{3}{4}\)
\(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}=\frac{4}{5}\)
Use your reasoning skills, to find the sum of the first 7 numbers in the pattern given above.
Answer:
Samacheer Kalvi 8th Maths Guide Answers Chapter 1 Numbers InText Questions 26

Think (Text Book Page No. 26)

Question 1.
Is the square of a prime number, prime?
Answer:
No, the square of a prime number ‘P’ has at Least 3 divisors 1, P and P2. But a prime number is a number which has only two divisors, 1 and the number itself. So square of a prime number is not prime.

Question 2.
Will the sum of two perfect squares always be a perfect square? What about their difference and their product?
Answer:
The sum of two perfect squares, need not be always a perfect square. Also the difference of two perfect squares need not be always a perfect square. Bu the product of two perfect square is a perfect square.

Try These (Text Book Page No. 26)

Question 1.
Which among 256, 576, 960, 1025,4096 are perfect square numbers? (Hint: Try to extend the table of squares already seen).
Answer:
256 = 162
576 = 242
4096 = 642
∴ 256, 576, and 4096 are perfect squares

Samacheer Kalvi 8th Maths Guide Chapter 1 Numbers InText Questions

Question 2.
One can judge just by look that each of the following numbers 82, 113, 1972, 2057, 8888, 24353 is not a perfect square. Explain why?
Answer:
Because the unit digit ola perfect square will be 0, 1,4, 5, 6, 9. But the given numbers have unit digits 2, 3, 7, 8. So they are not perfect squares.

Think (Text Book Page No. 27)

Consider the claim: “Between the squares of the consecutive numbers n and (n + 1), there are 2n non-square numbers’ Can it be true? FInd how many non-square numbers are there
(i) between 4 and 9 ?
(ii) between 49 and 64? and Verify the claim.
Answer:
Samacheer Kalvi 8th Maths Guide Answers Chapter 1 Numbers InText Questions 27
Therefore we conclude that there are 2n non-square numbers between two consecutive square numbers.

Think (Text Book Page No. 30)

In this quick guide we’ll describe what the factors of 96 are, how you find them and list out the factor pairs of 96 for you to prove the calculation works.

In this case, if we want to find the smallest factor with which we can multiply or divide 108 to get a square number, what should we do?
Answer:
108 = 2 × 2 × 3 × 3 = 22 × 32 × 3
If we multiply the factors by 2, then we get
22 × 32 × 3 × 3 = 22 × 32 × 32 = (2 × 3 × 3)2
Which is perfect square.
∴ Again if we divide by 3 then we get 22 × 32 ⇒ (2 × 3)2, a perfect square.
∴ We have to multiply or divide 108 by 3 to get a perfect square.

Samacheer Kalvi 8th Maths Guide Chapter 1 Numbers InText Questions

Try These (Text Book Page No. 32)

Find the square root by long division method.
Question 1.
400
Answer:
Samacheer Kalvi 8th Maths Guide Answers Chapter 1 Numbers InText Questions 28
√400 = 20

Question 2.
1764
Answer:
Samacheer Kalvi 8th Maths Guide Answers Chapter 1 Numbers InText Questions 29
√1764 = 42

Samacheer Kalvi 8th Maths Guide Chapter 1 Numbers InText Questions

Question 3.
9801
Answer:
Samacheer Kalvi 8th Maths Guide Answers Chapter 1 Numbers InText Questions 30
√9801 = 66

Try These (Text Book Page No. 32)

without calculating the square root, guess the number of digits in the square root of the following numbers:
Question 1.
14400
Answer:
\(\sqrt{14400}\) = \(\sqrt{144 \times 100}\)
= \(\sqrt{144} \times \sqrt{100}\)
= 12 × 10
= 120

Question 2.
390625
Answer:
\(\sqrt{390625}\) = \(\sqrt{25 \times 25 \times 25 \times 25}\)
= \(\sqrt{25 \times 25} \times \sqrt{25 \times 25}\)
= 25 × 25
= 625

Samacheer Kalvi 8th Maths Guide Chapter 1 Numbers InText Questions

Question 3.
100000000
Answer:
\(\sqrt{100000000}\) = \(\sqrt{10000 \times 10000}\)
= \(\sqrt{10000} \times \sqrt{10000}\)
= 100 × 100
= 10,000

Try These (Text Book Page No. 33)

Find the square root of
Question 1.
5.4756
Answer:
Samacheer Kalvi 8th Maths Guide Answers Chapter 1 Numbers InText Questions 31

Question 2.
19.36
Answer:
Samacheer Kalvi 8th Maths Guide Answers Chapter 1 Numbers InText Questions 32

Samacheer Kalvi 8th Maths Guide Chapter 1 Numbers InText Questions

Question 3.
116.64
Answer:
Samacheer Kalvi 8th Maths Guide Answers Chapter 1 Numbers InText Questions 33

Think (Text Book Page No. 33)

Try to fill in the blanks using √ab = √a × √b
Samacheer Kalvi 8th Maths Guide Answers Chapter 1 Numbers InText Questions 34
Answer:
Samacheer Kalvi 8th Maths Guide Answers Chapter 1 Numbers InText Questions 35

Samacheer Kalvi 8th Maths Guide Chapter 1 Numbers InText Questions

Try These (Text Book Page No. 34)

Using this method, find the square root of the numbers 1.2321 and 11.9025.
Answer:
(i) 1.2321
√1.2321 = \(\sqrt{\frac{12321}{10000}}\)
= \(\frac{111}{100}\) = 1.11

(ii) 11.9025
√11.9025 = \(\frac{\sqrt{119025}}{\sqrt{10000}}\)
= \(\frac{345}{100}\) = 3.45

Try These (Text Book Page No. 34)

Write the numbers in ascending order.
Question 1.
4, √14, 5
Answer:
Squaring all the numbers we get 42, (√14)2, 52 ⇒ 16, 14, 25
∴ Ascending order: 14, 16, 25
Ascending order: √14, 4, 5

Question 2.
7, √65, 8
Answer:
Squaring 7, √65 and 8 we get 72, (√65)2, 82 ⇒ 49, 65, 64
Ascending order : 49, 64, 65
Ascending order: 7, 8, √65

Samacheer Kalvi 8th Maths Guide Chapter 1 Numbers InText Questions

Try These (Text Book Page No. 37)

Find the ones digit in the cubes of each of the following numbers.
(i) 12
(ii) 27
(iii) 38
(iv) 53
(v) 71
(vi) 84
Answer:
(i) 12
12 ends with 2, so its cube ends with 8 i.e. ones digit in 123 is 8.

(ii) 27
27 ends with 7, so its cube end with 3. i.e., ones digit in 273 is 3.

(iii) 38
38 ends with 8, so its cube ends with 2 i.e. ones digit in 383 is 2.

(iv) 53
53 ends with 3, so its cube ends with 7. i.e, ones digit in 533 is 7.

(v) 71
71 ends with 1, so its cube ends with 1. i.e. ones digit in 713 is 1

(vi) 84
84 ends with 4, so its cube ends with 4. i.e, ones digit in 843 is 4.

Samacheer Kalvi 8th Maths Guide Chapter 1 Numbers InText Questions

Try These (Text Book Page No. 41)

Expand the following numbers using exponents:
(i) 8120
(ii) 20,305
(iii) 3652.01
(iv) 9426.521
Answer:
(i) 8120
8120 = (8 × 1000) + (1 × 100) + (2 x×10) + 0 × 1
= (8 × 103) + (1 × 102) + (2 × 101)

(ii) 20,305
20305 = (2 × 10000) + (0 × 1000) + (3 × 100) + (0 × 10) + (5 × 1)
= (2 × 104) + (3 × 102) + 5

(iii) 3652.01
3652.01 = 3000 + 600 + 50 + 2 + \(\frac{0}{10}+\frac{1}{100}\)
= (3 × 1000) + (6 × 100) + (5 × 10) + (2 × 1) + (1 × \(\frac{1}{100}\))
= (3 × 103) + (6 × 102) + (5 × 101) + 2 + (1 × 10-2)

(iv) 9426.521
= (9 × 1000) + (4 × 100) + (2 × 10) + (6 × 1) + \(\left(\frac{5}{10}\right)+\left(\frac{2}{100}\right)+\left(\frac{1}{1000}\right)\)
= (9 × 103) + (4 × 102) + (2 × 101) + 6 + (5 × 10-1) + (2 × 10-2) + (1 × 10-3)

Samacheer Kalvi 8th Maths Guide Chapter 1 Numbers InText Questions

Try These (Text Book Page No. 42)

Verify the following rules (as we did above). Here, a,b are non-zero integers and are any integers.
1. Product of same powers to power of product rule: am × bm = (ab)m
2. Quotient of same powers to power of quotient rule: \(\frac{a^{m}}{b^{m}}=\left(\frac{a}{b}\right)^{m}\)
3. Zero exponent rule: a0 = 1.
Answer:
let a = 2; b = 3; m = 2
1. am × bm = 22 × 32
= 4 × 9 = 36 = (2 × 3)2

2. \(\frac{a^{m}}{b^{m}}=\frac{2^{2}}{3^{2}}=\frac{4}{9}=\left(\frac{2}{3}\right)^{2}\)

3. a0 = 20 = 1.

Try These (Text Book Page No. 44)

Question 1.
Write in standard form: Mass of planet Uranus is 8.68 × 1025 kg.
Answer:
Mass of Planet Uranus = 86800000000000000000000000 kg
[23 zeros after 88]

Question 2.
Write in scientific notation:
(i) 0.000012005
Answer:
0.000012005 = 1.2005 × 10-5

(ii) 43 12.345
Answer:
43 12.345 = 4.312345 × 103

Samacheer Kalvi 8th Maths Guide Chapter 1 Numbers InText Questions

(iii) 0.10524
Answer:
0.10524 = 1.0524 × 10-1

(iv) The distance between the Sun and the planet Saturn 1.4335 × 1012 miles.

Samacheer Kalvi 5th Maths Guide Term 1 Chapter 2 Numbers InText Questions

Students can download 5th Maths Term 1 Chapter 2 Numbers InText Questions and Answers, Notes, Samacheer Kalvi 5th Maths Guide Pdf helps you to revise the complete Tamilnadu State Board New Syllabus, helps students complete homework assignments and to score high marks in board exams.

Tamilnadu Samacheer Kalvi 5th Maths Solutions Term 1 Chapter 2 Numbers InText Questions

Rounding to the Nearest Thousandth Calculator is an online tool that rounds off a decimal number to its nearest thousandths place.

Activity (Text Book page No.26)

Samacheer Kalvi 5th Maths Guide Term 1 Chapter 2 Numbers InText Questions 1
Answer:
Samacheer Kalvi 5th Maths Guide Term 1 Chapter 2 Numbers InText Questions 2

Samacheer Kalvi 5th Maths Guide Term 1 Chapter 2 Numbers InText Questions

Activity (Text Book page No.27)

Samacheer Kalvi 5th Maths Guide Term 1 Chapter 2 Numbers InText Questions 3
Answer:
Samacheer Kalvi 5th Maths Guide Term 1 Chapter 2 Numbers InText Questions 4

Samacheer Kalvi 5th Maths Guide Term 1 Chapter 2 Numbers InText Questions

Crore in many ways
Samacheer Kalvi 5th Maths Guide Term 1 Chapter 2 Numbers InText Questions 5
Answer:
Samacheer Kalvi 5th Maths Guide Term 1 Chapter 2 Numbers InText Questions 6

Samacheer Kalvi 5th Maths Guide Term 1 Chapter 2 Numbers InText Questions

Fill in the correct numbers in the following tables.

Samacheer Kalvi 5th Maths Guide Term 1 Chapter 2 Numbers InText Questions 7
Answer:
Samacheer Kalvi 5th Maths Guide Term 1 Chapter 2 Numbers InText Questions 8

Activity: 1 (Text Book page No.28)

The Abacus shows the number 34,284
Samacheer Kalvi 5th Maths Guide Term 1 Chapter 2 Numbers InText Questions 9
Number name: ________
Expanded form: 3 Ten thousands + 4 thousands +2 hundreds + 8 tens + 4 ones.
= 30,000 + _____ + 200 + _____ + _____
3 × 10,000 + 4 × ____ + 2 × 100 + 8 x ____ + ____ × 1
Answer:
Number name: Thirty four thousand two hundred and eighty four.
Expanded form: 3 Ten thousands + 4 thousands +2 hundreds + 8 tens + 4 ones.
= 30,000 + 4000 + 200 + 80 + 4
= 3 × 10,000 + 4 × 000 + 2 × 100 + 8 x 10 + 4 × 1

Samacheer Kalvi 5th Maths Guide Term 1 Chapter 2 Numbers InText Questions

Try These (Text Book page No.29)

How many thousands are there in 3,45,789?
Answer:
345 thousands

Activity: 2 (Text Book page No.29)

Look at the Abacus and fill in the blanks.

Samacheer Kalvi 5th Maths Guide Term 1 Chapter 2 Numbers InText Questions 11
Number: ________
Number name: _______
Expanded form: 5 ten lakhs + ______ lakhs + ______ ten thousands + 1 _______ + 2 ________ + 5 tens + ______ ones
= 5000000 + ____ + 40000 + ______ + 200 + 50 + 8
Answer:
Samacheer Kalvi 5th Maths Guide Term 1 Chapter 2 Numbers InText Questions 10
Number: 52,41,258
Number Name: Fifty two lakhs forty one thousands two hundred and fifty eight.
Expanded form:
= 5 ten lakhs + 2 lakhs + 4 ten thousands + 1 x thousand + 2 hundreds + 5 tens + 8 ones
= 5000000 + 200000 + 40000 + IQOO + 200 + 50 + 8.

Activity: 3 (Text Book page No.30)

Look at the Abacus and fill in the blanks.

Samacheer Kalvi 5th Maths Guide Term 1 Chapter 2 Numbers InText Questions 11
Given number: _________
Number Name: _______________
Expanded form: 6 crores + _____ Ten Iakhs + _____ Lakhs + 3 _______+ 5 Thousands + ______ + 1 Ten + 5 ones.
= 6,00,00,000 + 40,00,000 + ________ + ________ + 5000 + 400 + _______ + 5
= 6 × _____ + 4 × _____ + 2 × 100,000 + 3 × 10000 + 5 × _______ + _______ × 100 + 1 × 10 + _______ × 1
Answer:
Samacheer Kalvi 5th Maths Guide Term 1 Chapter 2 Numbers InText Questions 12
Given Number: 6,42,35,415
Number Name: Six crores forty two lakhs thirty five thousands four hundred and fifteen
Expanded form: 6 Crores + 4 ten lakhs + 2 lakhs + 3 ten thousands + 5 Thousands + 4 hundreds + 1 ten + 5 ones.
= 6,00,00,000 + 40,00,000 + 2,00,000 + 30,000 + 5,000 + 400 + 10+5.
= 6 × 1,00,00,000 + 4 × 10,00,000 + 2 × 1,00,000 + 3 × 10,000 + 5 × 10,000 + 4 × 100 + 1 × 10 + 5 × 1.

Samacheer Kalvi 5th Maths Guide Term 1 Chapter 2 Numbers InText Questions

Activity (Text Book page No.30)

Write the place value of 7 and 1 for the given numbers.
a. 81,70,453
b. 3,46,710
c. 1,87,13,971
Answer:
a. 81,70,453
The place value of 7 is 7 × 10,000 = 70,000
The place value of 1 is 1 × 1,00,000 = 1,00,000

b. 3,46,710
The place value of 1 is 1 × 10 = 10
The place value of 7 is 7 × 100 = 700

c. 1,87,13,971
The place value of 1 is 1 × 1 = 1
The place value of 7 is 7 × 10 = 70
The place value of 1 is 1 × 10,000 = 10,000
The place value of 7 is 7 × 1,00,000 = 7,00,000
The place value of 1 is 1 × 1,00,00,000 = 1,00,00,000

Samacheer Kalvi 5th Maths Guide Term 1 Chapter 2 Numbers InText Questions

Try These (Text Book page No.34)

1. 3,002 ____ 8,002
2. 43,731 ____ 44,371
3. 43,115 ____ 43,511
4. 13,435 ____ 13,4753
Answer:
1. 3,002 ____ 8,002
= 3,002 < 8,002

2. 43,731 ____ 44,371
= 43,731 < 44,371

3. 43,115 ____ 43,511
= 43,115 < 43,511

4. 13,435 ____ 13,4753
= 13,435 < 13,4753

Activity (Text Book page No.34)

1. Form the smallest and greatest five digit numbers using the given digits once.
(a) 7, 1, 0, 5, 4
(b) 3, 4, 7, 0, 9
(c) 9, 7, 1, 6, 4
(d) 4, 5, 9, 6, 7
Answer:
(a) 7, 1, 0, 5, 4
Smallest number = 10,457
Greatest number = 75,410

(b) 3, 4, 7, 0, 9
Smallest number = 30,479
Greatest number = 97,430

(c) 9, 7, 1, 6, 4
Smallest number = 14,679
Greatest number = 97,641

(d) 4, 5, 9, 6, 7
Smallest number = 45,679
Greatest number = 97,654

Samacheer Kalvi 5th Maths Guide Term 1 Chapter 2 Numbers InText Questions

2. Write the smallest numbers in the fruit and the greatest number in the flower.

(a) 45678, 145, 7829
(b) 23, 8873, 88738, 883
Answer:
(a) 45678, 145, 7829
Samacheer Kalvi 5th Maths Guide Term 1 Chapter 2 Numbers InText Questions 13

(b) 23, 8873, 88738, 883
Samacheer Kalvi 5th Maths Guide Term 1 Chapter 2 Numbers InText Questions 14

Samacheer Kalvi 5th Maths Guide Term 1 Chapter 2 Numbers InText Questions

Try These (Text Book page No.36)

1. Arrange the following numbers in the ascending order and descending order.
(i) 33,270; 1,078; 137; 27,935
(ii) 44,918; 32,113; 23,112; 42,231
(iii) 75,343; 30,475; 43,452; 13,055
(iv) 733; 34,946; 35,945; 23,745
Answer:
(i) 33,270; 1,078; 137; 27,935
Ascending order : 137,1,078, 27,935, 33,270
Descending order 5 33,270, 27,935, 1,078, 137

(ii) 44,918; 32,113; 23,112; 42,231
Ascending order : 23,112, 32,113, 42,231, 44,918
Descending order : 44,918, 42,231, 32,113, 23,112

(iii) 75,343; 30,475; 43,452; 13,055
Ascending order : 13,055, 30,475, 42,452, 75,343
Descending order ; 75,343, 42,452, 30,475,13,055

(iv) 733; 34,946; 35,945; 23,745
Ascending order : 733, 23,745, 34,946, 35,945
Descending order ; 35,945, 34,946, 23,745, 733

Samacheer Kalvi 5th Maths Guide Term 1 Chapter 4 Measurements Ex 4

Students can download 5th Maths Term 1 Chapter 4 Measurements Ex 4 Questions and Answers, Notes, Samacheer Kalvi 5th Maths Guide Pdf helps you to revise the complete Tamilnadu State Board New Syllabus, helps students complete homework assignments and to score high marks in board exams.

Tamilnadu Samacheer Kalvi 5th Maths Solutions Term 1 Chapter 4 Measurements Ex 4

The ultimate Mile Calculator.

Question 1.
Fill in the blanks.

a. 7m 5cm = ______ cm
Answer:
7m 5cm = 7 × 100 + 5cm: 700 + 5 = 705 cm

b. 505 mm = ______ cm ______ mm
Answer:
505 mm = 505 + 100 = 50 cm 5 mm

Samacheer Kalvi 5th Maths Guide Term 1 Chapter 4 Measurements Ex 4

c. 326m = ______ cm
Answer:
326 m = 326 × 100 = 32600 cm

d. 5km 30m = _____ m
Answer:
5 km 30 m : 5 × 1000 + 30 = 5000 + 30 = 5030 m

e. 650cm: ______ m ______ cm
Answer:
650 cm = 650 ÷ 100 = 6 m 50 cm

Question 2.
True or false.

a) 600 m is 6mm.
Answer:
False (∵6 cm)

b) 7000 m is 7 km.
Answer:
True

Samacheer Kalvi 5th Maths Guide Term 1 Chapter 4 Measurements Ex 4

c) 400 cm is 4 km.
Answer:
False (∵4m)

d) 770 mm is 77 cm.
Answer:
True

e) 9000m is 90 mm.
Answer:
False (∵ 9000 × 1000 = 9000000 mm)

Question 3.
Find the sum of the following

a. 17 m 45 cm + 52 m 30 cm
Answer:
Samacheer Kalvi 5th Maths Guide Term 1 Chapter 4 Measurements Ex 4 1
= 69 m 750 cm

Samacheer Kalvi 5th Maths Guide Term 1 Chapter 4 Measurements Ex 4

b. 75 km 400 m + 37 km 300 m + 52 km 750 m
Answer:
400 + 300 + 750 = 1450 m
1450 m = 1 km 450 m
Samacheer Kalvi 5th Maths Guide Term 1 Chapter 4 Measurements Ex 4 2
= 165 km 450 m

c. 4 cm 8 mm + 5 cm 9 mm
Answer:
8mm + 9mm = 17 mm = 1 cm 7 mm
Samacheer Kalvi 5th Maths Guide Term 1 Chapter 4 Measurements Ex 4 3
= 1 cm 7mm

Samacheer Kalvi 5th Maths Guide Term 1 Chapter 4 Measurements Ex 4

Question 4.
Subtract the following

a. 15 km 450 m – 13 km 200 m.
Answer:
Difference = 15 km 450 m – 13 km 200 m
= 2 km 250 m

Samacheer Kalvi 5th Maths Guide Term 1 Chapter 4 Measurements Ex 4 4

b. 750 m 840 mm – 370m 480 mm.
Answer:
Difference = 750 m 840 mm – 370m 480 mm
= 380 m 360 mm

Samacheer Kalvi 5th Maths Guide Term 1 Chapter 4 Measurements Ex 4 5

c. 5 km 400 m – 3 km 350 m
Answer:
Difference = 5 km 400 m – 3 km 350 m
= 2 km 50 mm

Samacheer Kalvi 5th Maths Guide Term 1 Chapter 4 Measurements Ex 4 6

Samacheer Kalvi 5th Maths Guide Term 1 Chapter 4 Measurements Ex 4

Question 5.
Multiply the following.

a. 350 m 45c m × 7
Answer:
45 × 7 = 315 m
= 3 m 15 m

Samacheer Kalvi 5th Maths Guide Term 1 Chapter 4 Measurements Ex 4 7

350 m 45 cm × 7 = 2453 km 45 cm

b. 25 km 300 m × 6
Answer:
300 × 6 = 1800 m
= 1 km 800 m

Samacheer Kalvi 5th Maths Guide Term 1 Chapter 4 Measurements Ex 4 8

25 km 300 m × 6 = 151 km 800 mm

c. 37 m 350 mm × 8
Answer:
350 × 8 = 2800 mm
= 2 m 800 mm

Samacheer Kalvi 5th Maths Guide Term 1 Chapter 4 Measurements Ex 4 9

37 m 350 mm × 8 = 298 m 800 mm

Samacheer Kalvi 5th Maths Guide Term 1 Chapter 4 Measurements Ex 4

Question 6.
Divide the following

a. 950 km 800 m ÷ 5
Answer:
Samacheer Kalvi 5th Maths Guide Term 1 Chapter 4 Measurements Ex 4 10
950 km 800 ÷ 5 = 190 km 160 m

b. 49 m 770 mm ÷ 7
Answer:
Samacheer Kalvi 5th Maths Guide Term 1 Chapter 4 Measurements Ex 4 11
49 m 770 mm ÷ 7 = 7 m 110 mm

c. 172 m 48 cm ÷ 4
Answer:
Samacheer Kalvi 5th Maths Guide Term 1 Chapter 4 Measurements Ex 4 12
172 m 48 cm ÷ 4 = 43 m 12 cm

Samacheer Kalvi 5th Maths Guide Term 1 Chapter 4 Measurements Ex 4

Life Related Problems

Question 7.
Answer the foliowing:

a. Saravanan had chosen to drive his vehicle from puducherry to Chennai for a distance of 165 Km. While starting his vehicle, the odometre showed 000157 Km, Find the reading of the odometre, when he reach Chennai?
Answer:
Distance form Pudicherry to Chennai = 165 km
Odometer showed = 000157 km
Reading of odometer after reached Chennai = 165 km + 000157 km
= 000322 km.

b. Karthik Raja decided to travel from A. He moves lKm in east to reach B. Then he goes 2 Km towards north and reaches C. Then he goes 1 Km towards west and reaches D. If he goes 2 Km towards South, Where would he reach? Draw apt Diagram and Justify. Also find out the total distance travelled by him.
Answer:
Samacheer Kalvi 5th Maths Guide Term 1 Chapter 4 Measurements Ex 4 13
He would reach = A
Total Distance =1 + 2 + 1 +2 = 6 km

Samacheer Kalvi 5th Maths Guide Term 1 Chapter 4 Measurements Ex 4

c. Sangeetha has just finished building a new house with garden area. She measured the garden area and found it to be 6m x 6m. Suppose she has to put a pole every lm, how many poles are required? Each pole is of height 1.5m from the ground, What should be the total length of the fencing material to fence the garden?
Answer:
Side of the Garden = 6m
No. of poles required = 6 + 6 +6+ 6= 24
The total length of the fencing material to fence the garden
= 24 × 1.5
= 36 m

d. One student needs lm 25 cm cloth to stich a shirt. What is the total length of clothes need to stitch a class of 22 students?
Answer:
Cloth is needed for one student = 1 m 25 cm
Total cloth is needed for 22 students
= 1 m 25 cm × 22
= 27 m 50 cm

Samacheer Kalvi 5th Maths Guide Term 1 Chapter 4 Measurements Ex 4 14

Samacheer Kalvi 5th Maths Guide Term 1 Chapter 4 Measurements Ex 4

e. The distance from village A to village B is 3 km 450 m. The distance from village B to village C is 5 km 350 m. What will be the total length of the road, if the road is laid from village A to village C?
Answer:
Distance from village A to Village B = 3 km 450 m
Distance from village B to village C = 5 km 350 m
The distance from A to C = 8 km 800 m

Samacheer Kalvi 5th Maths Guide Term 1 Chapter 4 Measurements Ex 4 15

Samacheer Kalvi 8th Maths Guide Chapter 2 Measurements Ex 2.4

Tamilnadu State Board New Syllabus Samacheer Kalvi 8th Maths Guide Pdf Chapter 2 Measurements Ex 2.4 Text Book Back Questions and Answers, Notes.

Tamilnadu Samacheer Kalvi 8th Maths Solutions Chapter 2 Measurements Ex 2.4

Question 1.
Two gates are fitted at the entrance of a library. To open the gates easily, a wheel is fixed at 6 feet distance from the wall to which the gate is fixed. If one of the gates is opened to 90°, find the distance moved by the wheel (π = 3.14).
Samacheer Kalvi 8th Maths Guide Answers Chapter 2 Measurements Ex 2.4 1
Amswer:
Let A be the position of the wall AC be the gate in initial position and AB be position when it is moved 90°.
Now the arc length BC gives the distance moved by the wheel.
Samacheer Kalvi 8th Maths Guide Answers Chapter 2 Measurements Ex 2.4 2
Length of the arc = \(\frac{\theta}{360^{\circ}}\) × 2πr units
= \(\frac{90^{\circ}}{360^{\circ}}\) × 2 × 3.14 × 6 feets
= 3.14 × 3 feets
= 9.42 feets
∴ Distance moved by the wheel = 9.42 feets.

Samacheer Kalvi 8th Maths Guide Chapter 2 Measurements Ex 2.4

Question 2.
With his usual speed, if a person covers a circular track of radius 150 m in 9 minutes, find the distance that he covers in 3 minutes (π = 3.14).
Answer:
Radius of the circular track = 150m
Distance covers in 9 minutes = Perimeter of the circle = 2 × π × r units
Distance covered in 9 min = 2 × 3.14 × 150m
Distance covered in 1 min = \(\frac{2 \times 3.14 \times 150}{9} \mathrm{m}\)
Samacheer Kalvi 8th Maths Guide Answers Chapter 2 Measurements Ex 2.4 3
Distance he covers in 3min = 314m

Question 3.
Find the area of the house drawing given in the figure.
Samacheer Kalvi 8th Maths Guide Answers Chapter 2 Measurements Ex 2.4 4
Answer:
Area of the house = Area of a square of side 6 cm + Area of a rectangle with l = 8cm, b = 6 cm + Area of a ∆ with b = 6 cm and h = 4 cm + Area of a parallelogram with b = 8 cm, h = 4 cm
= (side × side) + (l × b) + (\(\frac { 1 }{ 2 }\) × b × h) + bh cm2
= (6 × 6) + (8 × 6) + (\(\frac { 1 }{ 2 }\) × 6 × 4) + (8 × 4) cm2
= 36 + 48 + 12 + 32 cm2
= 128 cm2
Required Area = 128 cm2

Samacheer Kalvi 8th Maths Guide Chapter 2 Measurements Ex 2.4

Question 4.
Draw the top, front and side view of the following solid shapes
(i)
Samacheer Kalvi 8th Maths Guide Answers Chapter 2 Measurements Ex 2.4 5
Answer:
(a) Top view
Samacheer Kalvi 8th Maths Guide Answers Chapter 2 Measurements Ex 2.4 6

(b) Front view
Samacheer Kalvi 8th Maths Guide Answers Chapter 2 Measurements Ex 2.4 7

(c) Side view
Samacheer Kalvi 8th Maths Guide Answers Chapter 2 Measurements Ex 2.4 8

Samacheer Kalvi 8th Maths Guide Chapter 2 Measurements Ex 2.4

(ii)
Samacheer Kalvi 8th Maths Guide Answers Chapter 2 Measurements Ex 2.4 9
Answer:
(a) Top view
Samacheer Kalvi 8th Maths Guide Answers Chapter 2 Measurements Ex 2.4 10

(b) Front view
Samacheer Kalvi 8th Maths Guide Answers Chapter 2 Measurements Ex 2.4 11

(c) Side view
Samacheer Kalvi 8th Maths Guide Answers Chapter 2 Measurements Ex 2.4 12

Challenging Problems

Samacheer Kalvi 8th Maths Guide Chapter 2 Measurements Ex 2.4

Expert Guide to Buying and Selling Feet on Feet Finder ·

Question 5.
Guna has fixed a single door of width 3 feet in his room where as Nathan has fixed a double door, each of width 1 \(\frac { 1 }{ 2 }\) feet in his room. From the closed position, if each of the single and double doors can open up to 120°, whose door takes a minimum area?
Answer:
Width of the door that Guna fixed = 3 feet.
When the door is open the radius of the sector = 3 feet
Samacheer Kalvi 8th Maths Guide Answers Chapter 2 Measurements Ex 2.4 13
Angle covered = 120°
∴ Area required to open the door
Samacheer Kalvi 8th Maths Guide Answers Chapter 2 Measurements Ex 2.4 14
= 3π feet2

(b) Width of the double doors that Nathan fixed = 1 \(\frac { 1 }{ 2 }\) feet.
Angle described to open = 120°
Area required to open = 2 × Area of the sector
Samacheer Kalvi 8th Maths Guide Answers Chapter 2 Measurements Ex 2.4 15z
= \(\frac { 1 }{ 2 }\) (3π) feet2
∴ The double door requires the minimum area.

Samacheer Kalvi 8th Maths Guide Chapter 2 Measurements Ex 2.4

Question 6.
In a rectangular field which measures 15 m x 8m, cows are tied with a rope of length 3m at four corners of the field and also at the centre. Find the area of the field where none of the cow can graze. (π = 3.14).
Answer:
Area of the field where none of the cow can graze = Area of the rectangle – [Area of 4 quadrant circles] – Area of a circle
Samacheer Kalvi 8th Maths Guide Answers Chapter 2 Measurements Ex 2.4 16
Area of the rectangle = l × b units2
= 15 × 8m2 = 120m2
Area of 4 quadrant circles = 4 × \(\frac { 1 }{ 4 }\) πr2 units
Radius ofthe circle = 3m
Area of 4 quadrant circles = 4 × \(\frac { 1 }{ 4 }\) × 3.14 × 3 × 3 = 28.26 m2
Area of the circle at the middle = πr2 units
= 3.14 × 3 × 3m2 = 28.26m2
∴ Area where none of the cows can graze
= [120 – 28.26 – 28.26]m2 = 120 – 56.52 m2 = 63.48 m2

Samacheer Kalvi 8th Maths Guide Chapter 2 Measurements Ex 2.4

Question 7.
Three identical coins, each of diameter 6 cm are placed as shown. Find the area of the shaded region between the coins. (π = 3.14) (√3 = 1.732)
Samacheer Kalvi 8th Maths Guide Answers Chapter 2 Measurements Ex 2.4 17
Answer:
Given diameter of the coins = 6 cm
∴ Radius of the coins = \(\frac { 6 }{ 2 }\) = 3 cm
Area of the shaded region = Area of equilateral triangle – Area of 3 sectors of angle 60°
Samacheer Kalvi 8th Maths Guide Answers Chapter 2 Measurements Ex 2.4 18
Area of the equilateral triangle = \(\frac{\sqrt{3}}{4}\) a2 units2 = \(\frac{\sqrt{3}}{4}\) × 6 × 6 cm2
= \(\frac{1.732}{4}\) × 6 × 6 cm2 = 15.588 cm2
Area of 3 sectors = 3 × \(\frac{\theta}{360^{\circ}}\) × πr2 sq.units
= 3 × \(\frac{60^{\circ}}{360^{\circ}}\) × 3.14 × 3 × 3 cm2 = 1.458 cm2
∴ Area of the shaded region = 15.588 – 14.13 cm2 = 1.458 cm2
Required area = 1.458 cm2 (approximately)

Samacheer Kalvi 8th Maths Guide Chapter 2 Measurements Ex 2.4

Question 8.
Using Euler’s formula, find the unknowns.
Samacheer Kalvi 8th Maths Guide Answers Chapter 2 Measurements Ex 2.4 19
Answer:
Euler’s formula is given by F + V – E = 2
(i) V = 6, E = 14
By Euler’s formula = F + 6 – 14 = 2
F = 2 + 14 – 6
F = 10

(ii) F = 8,E = 10
By Euler’s formula = 8 + V – 10 = 2
V = 2 – 8 + 10
V = 4

Samacheer Kalvi 8th Maths Guide Chapter 2 Measurements Ex 2.4

(iii) F = 20, V = 10
By Euler’s formula = 20 + 10 — E = 2
30 – E = 2
E = 30 – 2.
E = 28
Tabulating the required unknowns
Samacheer Kalvi 8th Maths Guide Answers Chapter 2 Measurements Ex 2.4 20

Samacheer Kalvi 11th Accountancy Guide Chapter 3 Books of Prime Entry

Tamilnadu State Board New Syllabus Samacheer Kalvi 11th Accountancy Guide Pdf Chapter 3 Books of Prime Entry Text Book Back Questions and Answers, Notes.

Tamilnadu Samacheer Kalvi 11th Accountancy Solutions Chapter 3 Books of Prime Entry

11th Accountancy Guide Books of Prime Entry Text Book Back Questions and Answers

prime factorization of 38 are numbers that, when multiplied in pairs give the product as 38.

I. Choose the correct answer.

Question 1.
Accounting equation signifies …………….
(a) Capital of a business is equal to assets
(b) Liabilities of a business are equal to assets
(c) Capital of a business is equal to liabilities
(d) Assets of a business are equal to the total of capital and liabilities
Answer:
(d) Assets of a business are equal to the total of capital and liabilities

Samacheer Kalvi 11th Accountancy Guide Chapter 3 Books of Prime Entry

Question 2.
‘Cash withdrawn by the proprietor from the business for his personal use’ causes …………….
(a) Decrease in assets and decrease in owner’s capital
(b) Increase in one asset and decrease in another asset
(c) Increase in one asset and increase in liabilities
(d) Increase in asset and decrease in capital
Answer:
(a) Decrease in assets and decrease in owner’s capital

Question 3.
A firm has assets of Rs. 1,00,000 and the external liabilities of Rs. 60,000. Its capital would be ……………….
(a) Rs. 1,60,000
(b) Rs. 60,000
(c) Rs. 1,00,000
(d) Rs. 40,000
Answer:
(d) Rs. 40,000

Question 4.
The incorrect accounting equation is ………………….
(a) Assets = Liabilities + Capital
(b) Assets = Capital + Liabilities
(c) Liabilities = Assets + Capital
(d) Capital = Assets – Liabilities
Answer:
(c) Liabilities = Assets + Capital

Question 5.
Accounting equation is formed based on the accounting principle of ………………
(a) Dual aspect
(b) Consistency
(c) Going concern
(d) Accrual
Answer:
(a) Dual aspect

Question 6.
Real account deals with ……………..
(a) Individual persons
(b) Expenses and losses
(c) Assets
(d) Incomes and gains
Answer:
(c) Assets

Question 7.
Which one of the following is representative personal account?
(a) Building A/c
(b) Outstanding salary A/c
(c) Mahesh A/c
(d) Balan & Co
Answer:
(b) Outstanding salary A/c

Question 8.
Prepaid rent is a ……………….
(a) Nominal A/c
(b) Personal A/c
(c) Real A/c
(d) Representative personal A/c
Answer:
(d) Representative personal A/c

Samacheer Kalvi 11th Accountancy Guide Chapter 3 Books of Prime Entry

Question 9.
Withdrawal of cash from business by the proprietor should be credited to
(a) Drawings A/c
(b) Cash A/c
(c) Capital A/c
(d) Purchases A/c
Answer:
(b) Cash A/c

Question 10.
In double entry system of book keeping, every business transaction affects
(a) Minimum of two accounts
(b) Same account on two different dates
(c) Two sides of the same account
(d) Minimum three accounts
Answer:
(a) Minimum of two accounts

II. Very Short Answer Type Questions

Question 1.
What are source documents?
Answer:
“Source documents are the authentic evidence of financial transactions. These documents show the nature of the transaction, the date, the amount, and the parties involved. Source documents include cash receipt, invoice, debit note, credit note, pay-in-slip, salary bills, wage bills, cheque record slips, etc.

Samacheer Kalvi 11th Accountancy Guide Chapter 3 Books of Prime Entry

Question 2.
What Is the accounting equation?
Answer:
The relationship of assets with that of liabilities to outsiders and to owners in the equation form is known as the accounting equation.
The accounting equation is a mathematical expression which shows that the total of assets is equal to the total of liabilities and capital.
This is based on the dual aspect concept of accounting.
This means that the total claims of outsiders and the proprietor against a business enterprise will always be equal to the total assets of the business enterprise.
Capital + Liabilities = Assets

Question 3.
Write any one transaction which

  1. Decreases the assets and decreases the liabilities
  2. Increases one asset and decreases another asset

Answer:

  1. Paid creditors
  2. Gash sales

Question 4.
What is meant by journalizing?
Answer:
The process of analyzing the business transactions under the heads of debit and credit and recording them in the journal is called journalizing.

Question 5.
What is the real account?
Answer:
All accounts relating to tangible and intangible properties and possessions are called real accounts.

Question 6.
How are personal accounts classified?
Answer:
Samacheer Kalvi 11th Accountancy Guide Chapter 3 Books of Prime Entry 1

Question 7.
State the accounting rule for a nominal account.
Answer:
Samacheer Kalvi 11th Accountancy Guide Chapter 3 Books of Prime Entry 2

Samacheer Kalvi 11th Accountancy Guide Chapter 3 Books of Prime Entry

Question 8.
Give the golden rules of double-entry accounting system.
Answer:
Samacheer Kalvi 11th Accountancy Guide Chapter 3 Books of Prime Entry 3

III. Short Answer Questions

Question 1.
Write a brief note on the accounting equation approach of recording transactions.
Answer:
The relationship of assets with that of liabilities to outsiders and to owners in the equation form is known as the accounting equation.
The accounting equation is a mathematical expression which shows that the total of assets is equal to the total of liabilities and capital.
This is based on the dual aspect concept of accounting.

This means that the total claims of outsiders and the proprietor against a business enterprise will always be equal to the total assets of the business enterprise. The equation is given under:
Capital + Liabilities = Assets
Capital can also be called owner’s equity and liabilities as outsider’s equity.

As the revenues and expenses will affect capital, the expanded equation may be given as under:
Assets = Liabilities + Capital + Revenues – Expenses
Accounts are classified into five categories: (i) Asset account, (ii) Liability account, (iii) Capital account, (iv) Revenue account and (v) Expense account as follows:
Samacheer Kalvi 11th Accountancy Guide Chapter 3 Books of Prime Entry 4

Question 2.
What is an Account? Classify the accounts with suitable examples.
Answer:
Every transaction has two aspects and each aspect affects a minimum of one account.
An account is the basic unit of identification in accounting.
A ledger account is a summary of relevant transactions at one place relating to a particular head.
The account is the systematic presentation of all material information regarding a particular person or item at one place, under one head.

Classification of Accounts:
Personal Account;
Accounting relating to persons is called a personal account. The personal account may be a natural, artificial, or representative personal account.
E.g: Malini account, BHEL account, Prepaid Rent account.

Impersonal Account:
All accounts which do not affect persons are called impersonal accounts. These are further classified into Real and Nominal Accounts.
E.g; Building account, Goodwill, Salaries account.

Question 3.
What are the three different types of personal accounts?
Answer:
Under the double-entry system of book-keeping, for the purpose of recording the various financial transactions, the accounts are classified as personal accounts and impersonal accounts.

  1. Natural person’s account: Natural person means human beings. Example: Vinoth account, Malini account.
  2. Artificial person’s account: Artificial person refers to persons other than human beings recognized by law as persons. They include business concerns, charitable institutions, etc. Example: BHEL account, Bank account.
  3. Representative personal accounts: These are the accounts which represent persons natural or artificial or a group of persons. Example: Outstanding salaries account, Prepaid rent account. When expenses are outstanding, it is payable to a person. Hence, it represents a person.

Question 4.
What is the accounting treatment for insurance premium paid on the of the proprietor?
Answer:
The proprietor has to pay an agreed premium on a monthly or annual basis. The amount should be treated as prepayment which is considered a current asset.
The following entry should be made:
Insurance A/c Dr –
To Cash/Bank A/c –
(Being insurance premium paid.)

Samacheer Kalvi 11th Accountancy Guide Chapter 3 Books of Prime Entry

Question 5.
State the principles of the double-entry system of book-keeping.
Answer:
Following are the principles of the double-entry system:

  1. In every business transaction, there are two aspects.
  2. The two aspects involved are the benefit or value receiving aspect and the benefit or value giving aspect.
  3. These two aspects involve a minimum of two accounts; at least one debit and at least one credit.
  4. For every debit, there is a corresponding and equivalent credit.
  5. If one account is debited the other account must be credited.

Question 6.
Briefly explain about steps in journalizing.
Answer:
The process of analyzing the business transactions under the heads of debit and credit and recording them in the journal is called journalizing. An entry made in the journal is called a journal entry. The following steps are followed in journalizing:

Analyze the transactions and identify the accounts (based on aspects) which are involved in the transaction.

Classify the above accounts under Personal account, Real account or Nominal account, Apply the rules of debit and credit for the above two accounts.

Find which account is to be debited and which account is to be credited by the application of rules of the double-entry system. Record the date of the transaction in the date column.

Enter the name of the account to be debited in the particulars column very close to the left hand side of the particulars column followed by the abbreviation ‘Dr/ at the end in the same line. Against this, the amount to be debited is entered in the debit amount column in the same line.

Write the name of the account to be credited in the second line starting with the word ‘To’ prefixed a few spaces away from the margin in the particulars column. Against this, the amount to be credited is entered in the credit amount column in the same line.

Write the narration within brackets in the next line in the particulars column.

Question 7.
What is the double-entry system? State its advantages.
Answer:
A double-entry system of book keeping is a scientific and complete system of recording the financial transactions of an organization. According to this system, every transaction has a two-fold effect. That is, there are two aspects involved, namely, receiving aspect and the giving aspect. It is denoted by debit (Dr.) and credit (Cr.). The basic principle of the double-entry system is that for every debit there must be an equivalent and corresponding credit. Debit denotes an increase in assets or expenses or a decrease in liabilities, income, or capital. Credit denotes an increase in liabilities, income, or capital or a decrease in assets or expenses.

Samacheer Kalvi 11th Accountancy Guide Chapter 3 Books of Prime Entry

IV. Exercises

Question 1.
Complete the accounting equation.
(a) Assets = Capital + Liabilities
1,00,000 = 80,000 + ?
Answer:
(a) Liabilities = Assets – Capital
Liabilities = 1,00,000 – 80,000
Liabilities = 20,000

(b) Assets = Capital + Liabilities
2,00,000 = ? + 40,000
Answer:
Capital = Assets – Liabilities
Capital = 2,00,000 – 40,000
Capital = 1,60,000

(c) Assets = Capital + Liabilities
? = 1,60,000 + 80,000
Answer:
Assets = Capital + Liabilities
Assets = 1,60,000 + 80,000
Assets = 2,40,000

Question 2.
For the following transactions, show the effect on the accounting equation.
(a) Raj Started business with cash – 40,000
(b) Opened bank account with a deposit of – 30,000
(c) Bought goods from Hari on credit for – 12,000
(d) Raj withdrew cash for personal use – 1,000
(e) Bought furniture by using a debit card for – 10,000
(f) Sold goods to Murugan and cash received – 6,000
(g) Money is withdrawn from bank for office use – 1,000
Answer:
(a) Raj started the business with cash Rs 40,000
Increasing in capital and increasing in Asset Effects:
Cash comes in → Increase in asset
Capital provided by the owner → Increase in capital of owner
Capital = Asset
Capital = Cash
(+)Rs. 40,000 = (+)Rs. 40,000

(b) Opened bank account with a deposit of Rs 30,000
Decrease in one asset and increase in another asset Effects:
Bank is the receiver → Increases in Assets
Cash goes out → Decrease in Asset
Capital = Asset
Capital = Bank + cash
Capital = (+) Rs. 30,000 + (-) Rs. 30,000

(c) Bought goods from Hari on credit for Rs. 12,000
Increasing Asset and Increase in Liabilities Effects:
Stock comes in → Increase in Asset
Creditors arises → Increase in Liabilities
Asset = Liabilities
Stock = Creditors
(+) Rs. 12,000 = (+) Rs. 12,000

(d) Raj withdrew cash for personal use Rs 1,000
Decrease in Asset and decrease in capital Effects:
Cash goes out → Decrease in cash
Drawings proprietor is the receiver → Decrease in capital
Asset = Capital
Cash = Capital
(-) Rs. 1,000 = (-) Rs. 1,000

(e) Bought furniture by using debit card for Rs 10,000
Decrease in one asset and Increase in another asset Effects:
Furniture comes in → Increase in Furniture
Bank is giver → Decrease in a Bank
Asset = Liabilities
Furniture + Bank = Liabilities
(+) Rs. 10,000 + (-) Rs. 10,000 = Liabilities

(f) Sold goods to Murugan and cash received Rs 6,000
Decrease in one asset and increase in another asset Effects:
Cash comes in → Increase in cash
<$> Stock goes out → Decrease in stock
Asset = Liabilities
Cash + Stock = Liabilities
(+) Rs. 6,000 + (-) Rs. 6,000 = Liabilities

(g) Money is withdrawn from bank for office use Rs 1,000
Decrease in one asset and increase in another asset Effects:
Cash comes in → Increase in Cash
The bank is a giver → Decrease in Bank
Asset = Liabilities
Cash + Bank = Liabilities
(+) Rs. 1,000 + (-) Rs. 1,000 = Liabilities

Accounting Equation:
Samacheer Kalvi 11th Accountancy Guide Chapter 3 Books of Prime Entry 5

Samacheer Kalvi 11th Accountancy Guide Chapter 3 Books of Prime Entry

Question 3.
Prepare accounting equation for the following transactions,
(a) Murugan commenced business with cash Rs 80,000
(b) Purchased goods for cash Rs 30,000
(c) Paid salaries by cash Rs 5,000
(d) Bought goods from Kumar for Rs 5,000 and deposited the money in CDM.
(e) Introduced additional capital of Rs 10,000
Answer:
Accounting Equation:
Samacheer Kalvi 11th Accountancy Guide Chapter 3 Books of Prime Entry 6

Question 4.
What will be the effect of the following on the accounting equation?
(a) Sunil started the business with Rs 1,40,000 cash and goods worth Rs 60,000
(b) Purchased furniture worth Rs 20,000 in cash
(c) Depredation on furniture Rs 800
(d) Deposited into bank Rs 40,000
(e) Paid electricity charges through net banking Rs 500
(f) Sold goods to Ravi costing Rs 10,000 for Rs 15,000
(g) Goods returned by Ravi Rs 5,000
Answer:
(a) Sunil started the business with Rs 1,40,000 cash and goods worth Rs 60,000
Transactions affecting more than two accounts Effects:
Cash comes in → Increase in asset
Stock comes in → an Increase in asset
Capital provide by the owner → Increase in capital
Capital = Asset
Capital = Cash + Stock
(+) 2,00,000 = (+) 1,40,000 + (+) 60,000

(b) Purchased furniture worth Rs 20,000 in cash
Decrease in one asset and Increase in Another asset Effects:
Furniture comes in → Increase in asset
Cash goes out → Decrease in asset
Liabilities = Assets
Liabilities = Cash + Furniture
Liabilities = (-) 20,000 + (-) 20,000

(c) Depreciation on furniture Rs 800
Decrease in asset and decrease in capital effects:
Furniture goes out → Decrease in Asset
Capital → Decrease in Capital
Capital = Asset
Capital = Furniture
(-) 800 = (-) 800

(d) Deposited into bank Rs 40,000
Increase in one Asset and decrease in another asset Effects:
Cash goes out → Decrease in asset
The bank is a receiver → Increase in asset
Liability = Asset
Liability = Cash + bank
= (-) 40,000 + (+) 40,000

(e) Paid electricity charges through net banking Rs 500
decrease in Asset and Decrease in capital Effects:
The bank is a given → Decrease in Asset
Capital (Expenses) → Decrease in capital
Capital = Asset
Capital = Bank
(-) 500 = (-) 500

(f) Sold goods to Ravi costing Rs 10,000 for Rs 15,000
Increase in asset and decreases in another asset and Increase in Capital Effects:
Creditors → Increases in Liabilities
Stock goes out → Decreases in asset
Capital (Incom(e) → Increase in capital
Liabilities + Capital = Asset
Creditors + Capital = Stock
(+) 15,000 + (+) 5,000 = (-) 5,000

(g) Goods returned by Ravi Rs 5,000
Increase in asset and decrease in Liabilities Effects:
Stock comes in → an Increase in asset
Reducing in creditors → Decreases in Liabilities
Liability = Asset
Creditors = Stock
(-) 5,000 = (+) 5,000
Accounting Equation:
Samacheer Kalvi 11th Accountancy Guide Chapter 3 Books of Prime Entry 7

Samacheer Kalvi 11th Accountancy Guide Chapter 3 Books of Prime Entry

Question 5.
Create an accounting equation on the basis of the following transactions.
(i) Rakesh started the business with a capital of Rs 1,50,000
(ii) Deposited money with the bank Rs 80,000
(iii) Purchased goods from Mahesh and paid through credit card Rs 25,000
(iv) Sold goods (costing Rs 10,000) to Mohan for Rs 14,000 who pays through debit card
(v) Commission received by cheque and deposited the same in the bank Rs 2,000
(vi) Paid office rent through ECS Rs 6,000
(vii) Sold goods to Raman for Rs 15,000 of which Rs 5,000 was received at once
Answer:
Accounting Equation:
Samacheer Kalvi 11th Accountancy Guide Chapter 3 Books of Prime Entry 8

Question 6.
Create an accounting equation on the basis of the following transactions.
(i) Started business with cash 80,000 and goods Rs 75,000
(ii) Sold goods to Shanmugam on credit for Rs 50,000
(iii) Received cash from Shanmugam in full settlement Rs 49,000
(iv) Salary outstanding Rs 3,000
(v) Goods costing Rs 1,000 given as charity
(vi) Insurance premium paid Rs 3,000
(vii) Out of insurance premium paid, prepaid is Rs 500
Answer:
Accounting Equation:
Samacheer Kalvi 11th Accountancy Guide Chapter 3 Books of Prime Entry 9

Question 7.
Create an accounting equation on the basis of the following transactions:
(i) Opening balance on 1st January, 2018 cash Rs 20,000; stock Rs 50,000 and bank Rs 80,000
(ii) Bought goods from Suresh Rs 10,000 on credit
(iii) Bank charges Rs 500
(iv) Paid Suresh Rs 9,700 through credit card in full settlement.
(v) Goods purchased on credit from Philip for Rs 15,000
(vi) Goods returned to Philip amounting to Rs 4,000
Answer:
Samacheer Kalvi 11th Accountancy Guide Chapter 3 Books of Prime Entry 10

Question 8.
Enter the following transactions in the journal of Manohar who is dealing in textiles. 2018 March
Manohar started the business with cash – 60,000
Purchased furniture for cash – 10,000
Bought goods for cash – 25,000
Bought goods from Kamaiesh on credit – 15,000
Sold goods for cash – 28,000
Sold goods to Hari on credit – 10,000
Paid Kamaiesh – 12,000
Paid rent – 500
Received from Hari – 8,000
Withdrew cash for personal use – 4,000
Answer:
journal of Mr. Manohar
Samacheer Kalvi 11th Accountancy Guide Chapter 3 Books of Prime Entry 11

Samacheer Kalvi 11th Accountancy Guide Chapter 3 Books of Prime Entry

Question 9.
Pass journal entries in the books of Sasi Kumar who is dealing in automobiles. 2017 Oct.
1. Commenced business with goods – 40,000
3. Cash introduced in the business – 60,000
4. Purchased goods from Arul on credit – 70,000
6. Returned goods to Arul – 10,000
10. Paid cash to Arul on account – 60,000
15. Sold goods to Chandar on credit – 30,000
18. Chandar returned goods worth – 6,000
20. Received cash from Chandar in full settlement – 23,000
25. Paid salaries through ECS – 2,000
30. Sahil took for personal use goods worth – 10,000
Answer:
journal of Mr. Sasi Kumar:
Samacheer Kalvi 11th Accountancy Guide Chapter 3 Books of Prime Entry 12

Question 10.
Pass Journal entries in the books of Hart who is deafer in sports items. 2017 Jan.
1. Commenced business with cash 50,000
2. Purchased goods from Subash on credit of 20,000
4. Sold goods to Ramu on credit of 15,000
8. Ramu paid the amount through cheque
10. Cheque received from Ramu is deposited with the bank
15. Sports items purchased from Gopal on credit 10,000
18. Paid rent for the proprietor’s residence 1,500
20. Paid Gopal in a full settlement after deducting a 5% discount
25. Paid Subash Rs 4,750 and discount received 250
28. Paid by cash: wages Rs 500; electricity charges Rs 3,000 and trade expenses 1,000
Answer:
journal of Hari:
Samacheer Kalvi 11th Accountancy Guide Chapter 3 Books of Prime Entry 13

Question 11.
Karthick opened a provisions store on 1st April 2017, Journalise the following transactions in this books:
2017 April?
1. Paid into the bank for opening a current account – 2,00,000
3. Goods purchased by cheque – 40,000
5. Investments made in securities – 40,000
6. Goods sold to Radha for Rs 20,000 and cheque received and deposited into bank
7. Amount withdrawn from bank for office use – 15,000
10. Purchased goods from Kamala and cash deposited in CDM – 10,000
12. Sold goods to Vanitha who paid through the debit card – 10,000
15. Interest on securities directly received by the bank – 1,000
20. Insurance paid by the bank as per standing instructions – 2,000
25. Sales made to Kunal who made payment through CDM – 6,000
Answer:
journal of Karthik:
Samacheer Kalvi 11th Accountancy Guide Chapter 3 Books of Prime Entry 14

Question 12.
Journalise the following transactions in the books of Ramesh who is dealing in computers:
2018, May 1. Ramesh started business with cash Rs 3,00,000, Goods Rs 80,000 and Furniture Rs 27,000.
2. Money deposited into bank Rs 2,00,000
3. Bought furniture from M/s Jayalakshmi Furniture for Rs 28,000 on credit.
4. Purchased goods from Asohan for Rs 5,000 by paying through debit card.
5. Purchased goods from Guna and paid through net banking for cash Rs 10,000
6. Purchased goods from Kannan and paid through credit card Rs 20,000
7. Purchased goods from Shyam on credit for Rs 50,000
8. Bill drawn by Shyam was accepted for Rs 50,000
9. Paid half the amount owed to M/s Jayalakshmi Furniture by cheque
10. Shyam’s bill was paid
Answer:
journal of Mr. Ramesh
Samacheer Kalvi 11th Accountancy Guide Chapter 3 Books of Prime Entry 15

Samacheer Kalvi 11th Accountancy Guide Chapter 3 Books of Prime Entry

Question 13.
Journalise the following transactions in the books of Sundar who is a bookseller.
Dec 2017.
1. Commenced business with cash – 2,00,000
2. Bought goods from X and Co. on credit – 80,000
4. Opened a bank account with – 50,000
5. Sold goods to Naresh who paid the amount through net banking – 5,000
6. Sold goods to Devi who paid through credit card – 7,000
7. Sold goods to Ashish on credit – 700
8. Money withdrawn from the bank through ATM for office use – 1,000
9. Purchased furniture and paid through the debit card – 2,000
10. Salaries paid by cash – 6,000
11. Furniture purchased from Y for Rs 25,000 and advance given – 5,000
Answer:
Journal of Mr. Sundar
Samacheer Kalvi 11th Accountancy Guide Chapter 3 Books of Prime Entry 16

Question 14.
Raja has a hotel. The following transactions took place in his business. Journalize them.
Jan. 1. Started business with cash – 3,00,000
2. Purchased goods from Rajiv on credit – 1,00,000
3. Cash deposited with the bank – 2,00,000
20. Borrowed loan from the bank – 1,00,000
22. Withdrew from the bank for personal us – 800
23. Amount paid to Rajiv in full settlement through NEFT – 99,000
25. Paid club bill of the proprietor by cheque – 200
26. Paid electricity bill of the proprietor’s house through the debit card – 2,000
31. Lunch provided at free of cost to a charity – 1,000
31. Bank levied charges for locker rent – 1,000
Answer:
journal of Mr. Raja
Samacheer Kalvi 11th Accountancy Guide Chapter 3 Books of Prime Entry 17

Question 15.
From the following transactions of Shyam, a stationery dealer, pass journal entries for the month of August 2017,
Aug 1. Commenced business with cash Rs 4,00,000, Goods Rs 5,00,000
2. Sold goods to A and money received through RTGS 12,50,000
3. Goods sold to Z on credit for Rs 20,000
5. Bill drawn on Z and accepted by him Rs 20,000
8. Bill received from Z is discounted with the bank for 119,000
10. Goods sold to M on credit Rs 12,000
12. Goods distributed as free samples for Rs 2,000
16. Goods taken for office use Rs 5,000
17. M became insolvent and only 0.80 per rupee is received in the final settlement
20. Bill of Z discounted with the bank is dishonored
Answer:
Journal of Mr. Shyam
Samacheer Kalvi 11th Accountancy Guide Chapter 3 Books of Prime Entry 18

Question 16.
Mary is a cement dealer having a business for more than 5 years. Pass journal entries in her books for the period of March 2018,
1. Cement bags bought on credit from Sibi – 20,000
2. Electricity charges paid through net banking – 500
3. Returned goods bought from Sibi – 5,000
4. Cement bags are taken for personal use – 1,000
5. Advertisement expenses paid – 2,000
6. Goods sold to Mano – 20,000
7. Goods returned by Mano – 5,000
8. Payment received from Mano through NEFT
Answer:
Journal of Mr. Mary
Samacheer Kalvi 11th Accountancy Guide Chapter 3 Books of Prime Entry 19

11th Accountancy Guide Conceptual Framework of Accounting Additional Important Questions and Answers

I. Choose the correct answer.

Question 1.
A debit note is also called…………….
(a) Credit note
(b) Debit memo
(c) Vouchers
(d) Cash memo
Answer:
(b) Debit memo

Samacheer Kalvi 11th Accountancy Guide Chapter 3 Books of Prime Entry

Question 2.
Journal is a book of ……….
(a) Original Entry
(b) Final Entry
(c) Assets
(d) None of the above
Answer:
(a) Original Entry

Question 3.
When cash or cheque is deposited in a bank, a form is to be filled by a customer is called…………….
(a) Pay – in – slip
(b) Voucher
(c) Cash memo
(d) Invoice
Answer:
(a) Pay – in – slip

Question 4.
Accounts of persons with whom the business deals is known as ………….
(a) Personal A/c
(b) Real A/c
(c) Nominal A/c
(d) Profit & Loss A/c
Answer:
(a) Personal A/c

Question 5.
Outsider’s equity is otherwise called as …………….
(a) Capital
(b) liabilities
(c) debtors
(d) Assets
Answer:
(b) liabilities

Question 6.
Which one of the following equations is correct?
(a) Owner’s Equity = Liability + Asset
(b) Owner’s Equity = Asset – Liability
(c) Liability = Owner’s Equity + Asset
(d) Asset = Owner’s Equity – Liability
Answer:
(b) Owner’s Equity = Asset – Liability

Question 7.
Goodwill is an example of accounts …………….
(a) Real
(b) Nominal
(c) Tangible real
(d) Intangible real
Answer:
(d) Intangible real

Question 8.
Atul purchased a car for Rs. 5,00,000, by making a down payment of Rs. 1,00,000 and signing an Rs. 4,00,000 bill payable due in 60 days. As a result of this transaction
(a) Total assets increase by Rs. 5,00,000
(b) Total liabilities increase by Rs.4,00,000
(c) Total assets increase by Rs. 4,00,000
(d) Total assets increased by Rs. 4,00,000 with a corresponding increase in liabilities by Rs. 4,00,000
Answer:
(d) Total assets increased by Rs. 4,00,000 with a corresponding increase in liabilities by Rs. 4,00,000

Question 9.
Journal means …………….
(a) daily
(b) monthly
(c) yearly
(d) weekly
Answer:
(a) daily

Question 10.
Amount paid to a supplier is ……….
(a) An event
(b) A Transaction
(c) Both (a) and (b)
(d) Neither (a) Nor (b)
Answer:
(c) Both (a) and (b)

Samacheer Kalvi 11th Accountancy Guide Chapter 3 Books of Prime Entry

Question 11.
Goods worth Rs. 2,000 were distributed as free samples in the market. The journal entry will be
(a) Drawings A/c Dr. 2,000
To Purchases A/c 2,000
(b) Sales A/c Dr. 2,000
To Cash A/c 2,000
(c) Advertisement A/c Dr. 2,000
To Purchases A/c 2,000
(d) No entry
Answer:
(c) Advertisement A/c Dr. 2,000
To Purchases A/c 2,000

Question 12.
If two or more transactions of the same nature are journalized together, it is known as;
(a) Compound journal entry
(b) Separate journal entry
(c) Posting
(d) None of the above
Answer:
(a) Compound journal entry

Question 13.
An amount of Rs.200 received from A credited to B would affect ………….
(a) Accounts of A and B
(b) A’s Account
(c) Cash Account
(d) B’s Account
Answer:
(a) Accounts of A and B

Question 14.
Contra entries are passed only when …………..
(a) Double Column cash book is prepared
(b) Three-Column Cashbook is prepared
(c) Single Cashbook is prepared
(d) None of the above
Answer:
(b) Three-Column Cashbook is prepared

Question 15.
Which of the following statements is correct?
(a) Accounting profit is the difference between cash receipts and cash paid in a period.
(b) Accounting profit is the total cash sales in the year is the expenses for the period.
(c) Accounting profit is the difference between revenue income and expenses for the period.
(d) Accounting profit is the difference between revenue income and cash payment for the period.
Answer:
(c) Accounting profit is the difference between revenue income and expenses for the period.

Question 16.
Direct Expenses are those which can be identified with the particular products. Which of the following items is a direct cost?
(a) The rent of the factory in which products are made
(b) The wages of the production supervisor
(c) A royalty paid to the holder of a patent after each item is produced
(d) The cost of the glue used to attach labels to the products.
Answer:
(c) A royalty paid to the holder of a patent after each item is produced

Samacheer Kalvi 11th Accountancy Guide Chapter 3 Books of Prime Entry

Question 17.
Rent payable to the landlord Rs. 5,00,000 is credited to
(a) Cash Account
(b) Landlord Account
(c) Outstanding Rent Account
(d) None of the above
Answer:
(c) Outstanding Rent Account

Question 18.
Bad debts entry is passed in …………
(a) Sales Book
(b) Cash Book
(c) journal Book
(d) None of the above
Answer:
(c) journal Book

Question 19.
Return of cash sales is recorded in …………..
(a) Sales Return book
(b) cash book
(c) Journal proper
(d) None of the above
Answer:
(b) cash book

Question 20.
John purchased goods ‘ Rs, 5900 for cash at 20% trade discount and 5% cash discount. Purchase account Is to fee debited by Rs ………….
(a) Rs, 3,800
(b) Rs. 5,000
(c) Rs. 3,750
(d) Rs. 4,000
Answer:
(d) Rs. 4,000

Question 21.
Out of the following Identify the wrong statement.
(a) Real & Personal accounts are transferred to Balance Sheet
(b) Nominal accounts are transferred to profit and loss account
(c) Cash account is not opened separately in the ledger
(d) Rent account is a personal account and outstand rent account is a Nominal Account
Answer:
(a) Real & Personal accounts are transferred to Balance Sheet

Question 22.
The financial position of a business concern is ascertained on the basis of ………….
(a) Records Prepared under book-keeping process
(b) Trial Balance
(c) Accounting reports
(d) None of the above
Answer:
(c) Accounting reports

Question 23.
Salary “payable to an employee Rs.50,000. Which account is to be credited?
(a) Cash Account
(b) Salaries Account
(c) Outstanding Salaries
(d) None
Answer:
(b) Salaries Account

Samacheer Kalvi 11th Accountancy Guide Chapter 3 Books of Prime Entry

Question 24.
Loss on sale of machinery Is credited to …………..
(a) Machinery Account
(b) Purchase Account
(c) Profit and Loss Account
(d) None of the above
Answer:
(a) Machinery Account

Question 25.
The Capital of a sole trader Is affected by ……………..
(a) Purchase of raw material
(b) Commission received
(c) Cash received from trade receivables
(d) Purchase of an asset for cash
Answer:
(b) Commission received

II. Very Short Answer Type Questions

Question 1.
From the following information below journalise its
i. Salary paid Rs. 5,000
ii. Rent paid to house owner Rs. 1,000
iii. Cash sales Rs. 10,000
Answer:
Journal Entries
Samacheer Kalvi 11th Accountancy Guide Chapter 3 Books of Prime Entry 20

Question 2.
Journalise the following transactions:
2017, Jan 11 Purchased goods for Rs. 1,500
13. Bought furniture for cash Rs. 2,000
19. Drew for private use Rs. 500
Answer:
Journal Entries
Samacheer Kalvi 11th Accountancy Guide Chapter 3 Books of Prime Entry 21

Samacheer Kalvi 11th Accountancy Guide Chapter 3 Books of Prime Entry

III. Short Answer Questions

Question 1.
Journalise the following transitions in the books of G.
i. Started business with cash Rs. 9,000
ii. Deposited into Canara Bank Rs, 3,000
iii. Paid Salary Rs, 5,000
iv. Received commission Rs. 200
v. Cash received from Rajan Rs. 400
Answer:
Journal Entries
Samacheer Kalvi 11th Accountancy Guide Chapter 3 Books of Prime Entry 22

IV. Additional Sums

Question 1.
Prepare accounting equation on the basis of the following.
1) Ramya started the business with cash Rs. 1,20,000
2) She Paid Rent Rs. 4,000
3) She Purchases Furniture Rs. 20,000
4) She Purchased goods on credit from Mr. Parthiban Rs. 60,000
5) She Sold goods (Cost Price Rs. 40,000) for Cash Rs. 50,000
Answer:
Accounting Equation
Samacheer Kalvi 11th Accountancy Guide Chapter 3 Books of Prime Entry 23

Question 2.
Show the Accounting equation the basis of the following transaction.
1. Pailavan Started business with cash Rs. 50,000
2. Purchased goods from Monisha Rs. 40,000
3. Sold goods to Aruna (Costing Rs. 36,000) for Rs. 50,000
4. wan withdraw from business Rs. 10,000
Answer:
Accounting Equation
Samacheer Kalvi 11th Accountancy Guide Chapter 3 Books of Prime Entry 24

Samacheer Kalvi 11th Accountancy Guide Chapter 3 Books of Prime Entry

Question 3.
Journalise the following transaction of Mrs. Padmini
2018 May 1. Received Cash from Siva – 75,000
8. Paid Cash to Sayed – 45,000
11. Bought Goods for cash – 27,000
12. Bought Furniture – 48,000
15. Sold Goods for cash – 70,000
18. Sold Furniture – 50,000
Answer:
Journal of Mrs. Padmini
Samacheer Kalvi 11th Accountancy Guide Chapter 3 Books of Prime Entry 25

Question 4.
Journalise the following transactions of Mr. Dharani.
2018 Jan
1. Mr. Dharani Started Business with Cash – 1,00,000
4. Sold Goods to Mohan – 70,000
10. Purchased goods from Bashyam – 50,000
20. Sold goods for cash from Natarajan – 70,000
25. Paid to Bashyam – 50,000
28. Received from Mohan – 70,000
Answer:
Journal of Mr. Dharani
Samacheer Kalvi 11th Accountancy Guide Chapter 3 Books of Prime Entry 26

Question 5.
Journalise the following transaction of Tmt. Rani
2018 Feb
1. Tmt Rani Started Business With cash – 300000
5. Opening a current account with Indian Overseas Bank – 50000
10. Bought goods from Sumathi – 90000
18. Paid to Sumathi – 90000
20. Sold Goods to Chitra – 126000
28. Chitra Settled her account
Answer:
Journal of Tmt. Rani
Samacheer Kalvi 11th Accountancy Guide Chapter 3 Books of Prime Entry 27

Samacheer Kalvi 11th Accountancy Guide Chapter 3 Books of Prime Entry

Question 6.
Journalise the following transactions of Mr.Jeevan.
2018 Mar 5. Sold goods to Arun on Credit – 17,500
10. Bought Goods for cash from Ravi – 22,500
12. Met Travelling Expenses – 2,500
18. Received Rs.80000 from Sivakumar as a loan
21. Paid wages to workers – 3,000
Answer:
Journal of Mr. Jeevan
Samacheer Kalvi 11th Accountancy Guide Chapter 3 Books of Prime Entry 28

Question 7.
Give Transaction with imaginary figure involving the following
(i) Increase in assets and capital
(ii) Increase and decrease in assets
(iii) Increase in assets and a liabilities
(iv) Decrease of an asset and owners capital
Answer:
(i) Mr. Raja Commenced Business with Rs. 2,00,000
(ii) Purchased Computer Rs. 15,000
(iii) Purchased goods from Suresh Rs. 80,000
(iv) Drawings Rs. 15,000

Question 8.
Journalise the following transaction of Mrs. Rama
2018 April 1. Mrs. Rama Commenced Business with cash – 30,000
2. Paid into Bank – 21,000
3. Purchases goods and paid through Debit Card – 15,000
7. Drew Cash from Bank for Personal Use – 3,000
15. Purchased goods from Siva – 15,000
20. Cash Sales – 30,000
23. Money Withdrawn from Bank thought ATM for office use – 1,000
25. Paid to Siva – 14,750
Discount Received – 250
31 Paid Rent – 500
Paid Salaries – 2,000
Answer:
Journal of Mrs. Rama
Samacheer Kalvi 11th Accountancy Guide Chapter 3 Books of Prime Entry 29

Question 9.
Record the transactions in the books of Shri. Ganesh & Co.
2012 Jan
1. Ganesh started a business with cash – 90,000
1. Paid into bank – 20,000
2. Purchased goods for cash – 50,000
4. Purchased furniture by issuing cheque – 24,000
5. Sold goods to Siva – 17,000
6. Purchased goods from Anand – 30,000
9. Returned goods to Anand – 3,000
10. Cash received from Siva – 16,000
11. Withdraw cash for personal use – 1,500
18. Purchase of stationary – 500
Answer:
Journal Entries in the Books of Shri. Ganesh & Co.
Samacheer Kalvi 11th Accountancy Guide Chapter 3 Books of Prime Entry 30

Samacheer Kalvi 11th Accountancy Guide Chapter 3 Books of Prime Entry

Question 10.
Record the transactions in the books of XYZ & Co:
2017
May 1. Furniture purchased for Rs. 10,000
2. Old Computer worth Rs. 13,700 sold to Sankar on credit
3. Rent paid Rs. 5,000
6. Depreciation on Machinery Rs. 6,400 paid by cheque
10. Paid Rs. 250 for the installation charges of Machinery
13. Cash taken for personal use Rs. 7,000
Answer:
Journal Entries in the books XYZ & Co.
Samacheer Kalvi 11th Accountancy Guide Chapter 3 Books of Prime Entry 31

Question 11.
Record the transaction in the books of Y.
2017, April 1. Started Business with cash Rs, 9,000
2. Purchased goods for cash Rs. 21,000
3. Sold goods for cash Rs. 8,000
4. Deposited into Canara Bank Rs. 3,000
5. Cash received from Rajan Rs. 4,000
7. Paid salary Rs. 3,000
8. Paid Rent Rs. 4,000
9. Received Commission Rs. 500
10. Withdrew from Canara Bank Rs. 2,700
Answer:
Journal Entries in the books of Y
Samacheer Kalvi 11th Accountancy Guide Chapter 3 Books of Prime Entry 32

Question 12.
Journalize the following transactions:
2016, Dec 1. Purchased goods for cash Rs. 14,000
8. Purchased goods from Anand Stores Rs. 600
12. Sold goods for Rs. 12,500
16. Sold goods to Sridhar Rs. 6,450
18. Bought Machinery for Cash Rs. 1,20,000
20. Goods returned to Anand Stores Rs. 300
22. Sridhar returned goods worth Rs. 450
25. Drew for personal use Rs. 500
25. Electric charges amounted Rs. 1,000
30. Got a loan from Joice Rs. 750
Answer:
Samacheer Kalvi 11th Accountancy Guide Chapter 3 Books of Prime Entry 33

Question 13.
Journalise the following transactions in the books of Z.
2016, july 1. Sold goods for Cash Rs. 2,800
2. Purchased goods for cash Rs, 5,900
5. Purchased goods from K Rs. 3,500
8. Sold goods to P Rs. 6,500
5. Received cash from P Rs. 6,200
9. Paid to K Rs. 3,200
9. Paid Telephone Charges Rs: 1,200
10. Paid Salary Rs. 2,600
10. Received Commission Rs. 3,000
10. Computer purchased from S for Rs. 20,000 and an advance of Rs. 8,000 is given as cash
Answer:
Samacheer Kalvi 11th Accountancy Guide Chapter 3 Books of Prime Entry 34

Samacheer Kalvi 11th Accountancy Guide Chapter 3 Books of Prime Entry

Question 14.
Varna is a women entrepreneur, dealing in textiles. From the following transactions, pass journal entries for the month of March 2017.
2017,
March, 1. Commenced business with cash Rs. 50,000 & with goods Rs. 45,000
2. Purchased 20 sarees from V & Co on credit Rs. 60,000
3. Cash deposited into bank Rs. 48,000
4. Paid to V & Co through net banking
5. Sold 10 sarees @ Rs. 3,000 each on credit to X & Co.
6. Paid Travelling expenses Rs. 450
8. Bank Charges levied Rs. 150
9. X becomes insolvent and only Rs. 2,000 per saree received by cash in final settlement.
10. Electricity charges amount to Rs. 1,500
10. Received Commission Rs. 2,000
Answer:
Samacheer Kalvi 11th Accountancy Guide Chapter 3 Books of Prime Entry 35

Question 15.
Journalise the following transactions:
2018, March 1. Salary paid Rs. 8,000
2. Rent paid to the house owner Rs. 7,000
3. Credit purchases from Mr. A Rs. 5,800
8. Cash sales Rs. 10,000
9. Deposited cash into bank Rs. 2,500
10. Purchased furniture Rs. 2,400
Answer:
Samacheer Kalvi 11th Accountancy Guide Chapter 3 Books of Prime Entry 36

Question 16.
Complete the accounting equation.
(a) Assets = Capital + Liabilities
Rs.2,00,000 = Rs. 1,60,000 + ?
Answer:
Rs. 40,000

(b) Assets = Capital + Liabilities
Rs. 1,00,000 = ? + Rs. 20,000
Answer:
Rs. 80,000

(c) Assets = Capital + Liabilities
? = Rs. 1,60,000 + Rs. 80,000
Answer:
Rs. 2,40,000

Question 17.
Journalise the following transactions in the books of S.
2017, March
1. M commenced business with Rs. 20,000
2. Remitted into bank account Rs. 18,000
3. Paid to K by cheque Rs. 5,000 and discount allowed Rs. 100
10. Cash sales Rs. 4,500
15. Issued a cheque to L for furniture Rs. 2,000
18. Withdrew from bank Rs. 500
25. Cash purchase Rs. 800
31. Paid salaries by cheque Rs. 6,000
Answer:
Samacheer Kalvi 11th Accountancy Guide Chapter 3 Books of Prime Entry 37

Question 18.
Write down the transactions for the following.
Samacheer Kalvi 11th Accountancy Guide Chapter 3 Books of Prime Entry 38
Answer:
1. Sale of building for Rs. 2,50,000
2. Paid Telephone Charges by Cheque Rs. 2,000
3. Withdrew Cash from Bank Rs. 5,000
4. Withdrew cash for personal use Rs. 3,000
5. Purchased goods for Rs. 6,400 and paid by cheque.

Samacheer Kalvi 11th Accountancy Guide Chapter 3 Books of Prime Entry

Samacheer Kalvi 5th Maths Guide Term 2 Chapter 2 Numbers Ex 2.2

Students can download 5th Maths Term 2 Chapter 2 Numbers Ex 2.2 Questions and Answers, Notes, Samacheer Kalvi 5th Maths Guide Pdf helps you to revise the complete Tamilnadu State Board New Syllabus, helps students complete homework assignments and to score high marks in board exams.

Tamilnadu Samacheer Kalvi 5th Maths Solutions Term 2 Chapter 2 Numbers Ex 2.2

Question 1.
Choose the best answer:

(i) The number divisible by 5 with no remainder
(a) 14
(b) 535
(c) 447
(d) 316
Answer:
(b) 535

Samacheer Kalvi 5th Maths Guide Term 2 Chapter 2 Numbers Ex 2.1

(ii) Pick the number which is not a multiple of 6.
(a) 18
(b) 26
(c) 72
(d) 36
Hint:
(a) 18 = 6 × 3
(c) 72 = 8 × 9
(d) 36 = 6 × 6
Answer:
(b) 26

(iii) The common multiple of 4 and 8 among the given number is.
(a) 32
(b) 84
(c) 68
(d) 76
Hint:
Multiples of 4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40 ….
Multiples of 8 = 8, 16, 24, 32, 40, 48, 56, 64, …
Common multiples of 4, 8 is 8, 16, 24, 32, 40,…
Answer:
(a) 32

(iv) Factors of 6
(a) 1, 2, 3
(b) 1, 6
(c) 1,2,3,6
(d) 2,3
Hint: Multiple of 9 are 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, ……..
Answer:
(c) 1, 2, 3, 6

(v) Multiple of 9 is
(a) 79
(b) 87
(c) 29
(d) 72
Hint: Multiple of 9 are 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, …….
Answer:
(d) 72

Samacheer Kalvi 5th Maths Guide Term 2 Chapter 2 Numbers Ex 2.1

Question 2.
Fill in the blanks:

Question 1.
Factors of 7 ______
Answer:
1, 7

Question 2.
The only even prime number is ______
Answer:
1,2

Question 3.
L.C.M of 4, 12 ______
Answer:
12

Question 4.
L.C.M of 5, 15 ______
Answer:
15

Question 5.
The numbers which divides 35 without reminders are _____, ______, ______.
Answer:
1, 5, 7

Samacheer Kalvi 5th Maths Guide Term 2 Chapter 2 Numbers Ex 2.1

Question 3.
Write down the factors of the given numbers.
(i) 25
(ii) 36
(iii) 14
(iv) 16
(v) 12
Answer:
(i) 25
Factors of 25 is 1, 5, 25

(ii) 36
Factors of 36 is 1, 2, 3, 4. 6, 9, 12, 18, 36

(iii) 14
Factors of 14 is 1, 2, 7, 14

(iv) 16
Factors of 16 is 1, 2, 4, 8, 16

(v) 12
Factors of 1, 2, 3. 4, 6, 12

Samacheer Kalvi 5th Maths Guide Term 2 Chapter 2 Numbers Ex 2.1

Question 4.
Draw a picture of factor tree.

(i) 18
(ii) 33
(iii) 16
(iv) 50
Answer:
(i) 18
Samacheer Kalvi 5th Maths Guide Term 2 Chapter 2 Numbers Ex 2.2 1

(ii) 33
Samacheer Kalvi 5th Maths Guide Term 2 Chapter 2 Numbers Ex 2.2 2

(iii) 16
Samacheer Kalvi 5th Maths Guide Term 2 Chapter 2 Numbers Ex 2.2 3

(iv) 50
Samacheer Kalvi 5th Maths Guide Term 2 Chapter 2 Numbers Ex 2.2 4

Samacheer Kalvi 5th Maths Guide Term 2 Chapter 2 Numbers Ex 2.1

Question 5.
Write down the first 5 multiples of the given numbers.
(i) 7
(ii) 9
(iii) 16
(iv) 11
(v) 21
Answer:
(i) 7
= 7 Multiple of 7 – 7, 14, 21, 28, 35

(ii) 9
= 9 Multiple of 9 – 9, 18, 27, 36, 45

(iii) 16
= 16 Multiple of 16 – 16, 32, 48, 64, 80

(iv) 11
= 11 Multiple of 11 is 11, 22, 33, 44, 55

(V) 21
= 21 Multiple of 21 is 21, 42, 63, 84, 105

Samacheer Kalvi 5th Maths Guide Term 2 Chapter 2 Numbers Ex 2.1

Question 6.
Find first three common multiples of the given numbers.
(i) 24, 16
(ii) 12,9
(iii) 24,36
Answer:
(i) 24, 16
Multiples of 24 = 24, 48, 72, 96, 120, 144, 168, 192, 216, 240, 264
Multiples of 16 = 16, 32, 48, 64, 80, 96, 112, 128, 144, 160, 176, 192. 208, 224, 240, 256
Common multiples of 24 and 16 is 48, 96, 144, 192, 240

(ii) 12, 9
Multiples of 12 = 12, 24, 36, 48, 60, 72, 84, 96, 108, 120,
Multiples of 9 – 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117
Common multiples of 12 and 9 is 36, 72, 108

(iii) 24, 36
Multiples of 24 = 24, 48, 72, 96, 120, 144, 168, 192, 216,
Multiples of 36 = 36, 72, 108, 144, 180, 216
Common multiples of 24 and 36 is 72, 144, 216

Samacheer Kalvi 5th Maths Guide Term 2 Chapter 2 Numbers Ex 2.1

Question 7.
Find L. C.M of the given numbers.
(i) 12 and 28
(ii) 16 and 24
(iii) 8 and 14
Answer:
(i) 12 and 28
Multiples of 12 = 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180
Multiples of 28 = 28, 56, 84, 112, 140, 168, 196, ……
Common multiples of 12 and 28 is 84, 168, ……..
LCM is 84

(ii) 16 and 24
Multiples of 16 = 16, 32, 48, 64, 80, 96, 112, 128, 114, …….
Multiples of 24 = 24, 48, 72, 96, 120, 144, ……
Common multiples of 16 and 24 is 48, 96, 144, ……..
LCM is 48

(iii) 8 and 14
Multiples of 8 = 8, 16, 24, 32, 4O48, 56, 64, 72, 80, 88, 96, 104, 112, …
Multiples of 14 = 14, 28, 42, 56, 70,84 98 112 ……
Common multiples of 8 and 14 is 56, 112, …….

(iv) 30 and 20
Multiples of 30 = 30, 60, 90, 120, 150, 180, 210, 240, 270, …
Multiples of 20 = 20, 40, 60, 80, 100, 120, 140, 160, 180, …
Common multiples of 30 and 20 is 60, 120, 180
LCM of 30 and 20 is 60.

Samacheer Kalvi 5th Maths Guide Term 2 Chapter 2 Numbers Ex 2.1

The least common multiple (LCM) of 12 and 18 is 36.

Question 8.
Ramya visits the gym five days once and Kavitha visits the gym six days once. In which day will they meet each other?
Answer:
Multiples of 5 = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, …
Multiples of 6 – 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, …
Common multiples of 5 and 6 is 30, 60
LCM of 5 and 6 is 30.

Question 9.
Arun and shahjahan goes for walking in a circular path of a park in the same direction. Arun takes 6 minutes to complete one round, while shahjahan takes 8 minutes to completed one round. In how many minutes will they meet each other?
Answer:
Multiples of 6 = 6, 12, 18, 24, 30, 36, 42, 48, 54,…
Multiples of 8 = 8, 16, 24, 32, 40, 48, 56, 64, …
Common multiples of 6 and 8 is 24, 48, …
LCM of 6 and 8 is 24.
They will meet each other after 24 minutes.

Samacheer Kalvi 5th Maths Guide Term 2 Chapter 2 Numbers Additional Questions

Students can download 5th Maths Term 2 Chapter 2 Numbers Additional Questions and Answers, Notes, Samacheer Kalvi 5th Maths Guide Pdf helps you to revise the complete Tamilnadu State Board New Syllabus, helps students complete homework assignments and to score high marks in board exams.

Tamilnadu Samacheer Kalvi 5th Maths Solutions Term 2 Chapter 2 Numbers Additional Questions

What is the factor of 50 between 11 and 20? The factors of 50 are: 1, 2, 5, 10, 25, 50 None of them is between 11 and 20.

Question 1.
Find the common factors for:
(i) 6 and 9
(ii) 15 and 20
Answer:
(i) 6 and 9
Factors of 6 is 1, 2, 3, 6
Factors of 9 is 1, 3, 9
Common factors of 6 and 9 is 1, 3

(ii) 15 and 20
Factors of 15 is 1, 3, 5, 15
Factors of 20 is 1, 2, 4, 5, 10, 20
Common factors of 15 and 20 are 1, 5.

Samacheer Kalvi 5th Maths Guide Term 2 Chapter 2 Numbers Additional Questions

Question 2.
Draw a picture of factor tree.
(i) 45
(ii) 100
Answer:
(i) 45

(ii) 100

Samacheer Kalvi 5th Maths Guide Term 2 Chapter 2 Numbers Additional Questions

Question 3.
Write down the first 5 multiple of the given numbers.
(i) 15
(ii) 25
Answer:
(i) 15
15 × 1 = 15
15 × 2 = 30
15 × 3 = 45
15 × 4 = 60
5 × 5 = 75
5, 30, 45, 60, 75

Samacheer Kalvi 5th Maths Guide Term 2 Chapter 2 Numbers Additional Questions

(ii) 25
25 × 1 = 25
25 × 2 = 50
25 × 3 = 75
25 × 4 = 100
25 × 5 = 125
25, 50, 75, 100, 125

Samacheer Kalvi 8th Maths Guide Chapter 1 Numbers Ex 1.4

Tamilnadu State Board New Syllabus Samacheer Kalvi 8th Maths Guide Pdf Chapter 1 Numbers Ex 1.4 Textbook Questions and Answers, Notes.

Tamilnadu Samacheer Kalvi 8th Maths Solutions Chapter 1 Numbers Ex 1.4

Question 1.
Fill in the blanks:
(i) The ones digit in the square of 77 is ________ .
Answer:
9

(ii) The number of non-square numbers between 242 and 252 is ________ .
Answer:
48

Samacheer Kalvi 8th Maths Guide Chapter 1 Numbers Ex 1.4

(iii) The number of perfect square numbers between 300 and 500 is ________ .
Answer:
5

(iv) If a number has 5 or 6 digits in it, then its square root will have ________ digits.
Answer:
3

(v) The value of Jii lies between integers ______ and ________ .
Answer:
13, 14

Question 2.
Say True or False:
(i) When a square number ends in 6, its square root will have 6 in the unit’s place.
Answer:
True

(ii) A square number will not have odd number of zeros at the end.
Answer:
True

(iii) The number of zeros in the square of 91000 is 9.
Answer:
False

(iv) The square of 75 is 4925.
Answer:
False

(v) The square root of 225 is 15.
Answer:
True

Samacheer Kalvi 8th Maths Guide Chapter 1 Numbers Ex 1.4

Question 3.
Find the square of the following numbers.
(i) 17
(ii) 203
(iii) 1098
Answer:
(i) 17
Samacheer Kalvi 8th Maths Guide Answers Chapter 1 Numbers Ex 1.4 1

(ii) 203
Samacheer Kalvi 8th Maths Guide Answers Chapter 1 Numbers Ex 1.4 2

(iii) 1098
Samacheer Kalvi 8th Maths Guide Answers Chapter 1 Numbers Ex 1.4 3

Samacheer Kalvi 8th Maths Guide Chapter 1 Numbers Ex 1.4

Question 4.
Examine if each of the following is a perfect square.
(i) 725
(ii) 190
(iii) 841
(iv) 1089
Answer:
(i) 725
725 = 5 × 5 × 29 = 52 × 29
Here the second prime factor 29 does not have a pair.
Hence 725 is not a perfect square number.
Samacheer Kalvi 8th Maths Guide Answers Chapter 1 Numbers Ex 1.4 4

(ii) 190
190 = 2 × 5 × 19
Here the factors 2, 5 and 9 does not have pairs.
Hence 190 is not a perfect square number.
Samacheer Kalvi 8th Maths Guide Answers Chapter 1 Numbers Ex 1.4 5

Samacheer Kalvi 8th Maths Guide Chapter 1 Numbers Ex 1.4

(iii) 841
841 = 29 × 29
Hence 841 is a perfect square

(vi) 1089
1089 = 3 × 3 × 11 × 11 = 33 × 33
Hence 1089 is a perfect square

The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144.

Question 5.
Find the square root by prime factorisation method.
(i) 144
(ii) 256
(iii) 784
(iv) 1156
(v) 4761
(vi) 9025
Answer:
(i) 144
144 = 2 × 2 × 2 × 2 × 3 × 3
√144 = 2 × 2 × 3 = 12
Samacheer Kalvi 8th Maths Guide Answers Chapter 1 Numbers Ex 1.4 6

Samacheer Kalvi 8th Maths Guide Chapter 1 Numbers Ex 1.4

(ii) 256
256 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2
√256 = 2 × 2 × 2 × 2 = 16
Samacheer Kalvi 8th Maths Guide Answers Chapter 1 Numbers Ex 1.4 7

(iii) 784
784 = 2 × 2 × 2 × 2 × 7 × 7
√784 = 2 × 2 × 2 × 2 × 7 × 7 = 28
Samacheer Kalvi 8th Maths Guide Answers Chapter 1 Numbers Ex 1.4 8

(iv) 1156
1156 = 2 × 2 × 17 × 17
1156 = 22 × 172
1156 = (2 × 17)2
∴ \(\sqrt{1156}\) = \(\sqrt{(2 \times 17)^{2}}\) = 2 × 17 = 34
∴ \(\sqrt{1156}\) = 34
Samacheer Kalvi 8th Maths Guide Answers Chapter 1 Numbers Ex 1.4 9

Samacheer Kalvi 8th Maths Guide Chapter 1 Numbers Ex 1.4

(v) 4761
4761 = 3 × 3 × 23 × 23
4761 = 32 × 232
4761 = (3 × 23)2
√4761 = \(\sqrt{(3 \times 23)^{2}}\)
√4761 = 3 × 23
√4761 = 69
Samacheer Kalvi 8th Maths Guide Answers Chapter 1 Numbers Ex 1.4 10

(vi) 9025
9025 = 5 × 5 × 19 × 19
9025 = 52 × 192
9025 = (5 × 19)2
√925 = \(\sqrt{(5 \times 19)^{2}}\) = 5 × 19 = 95
Samacheer Kalvi 8th Maths Guide Answers Chapter 1 Numbers Ex 1.4 11

Samacheer Kalvi 8th Maths Guide Chapter 1 Numbers Ex 1.4

Question 6.
Find the square root by long division method.
(i) 1764
(ii) 6889
(iii) 11025
(iv) 17956
(v) 418609
Answer:
(i) 1764
Samacheer Kalvi 8th Maths Guide Answers Chapter 1 Numbers Ex 1.4 12
√1764 = 42

(ii) 6889
Samacheer Kalvi 8th Maths Guide Answers Chapter 1 Numbers Ex 1.4 13
√6889 = 83

Samacheer Kalvi 8th Maths Guide Chapter 1 Numbers Ex 1.4

(iii) 11025
Samacheer Kalvi 8th Maths Guide Answers Chapter 1 Numbers Ex 1.4 14
√11025 = 105

(iv) 17956
Samacheer Kalvi 8th Maths Guide Answers Chapter 1 Numbers Ex 1.4 15
√17956 = 134

(v) 418609
Samacheer Kalvi 8th Maths Guide Answers Chapter 1 Numbers Ex 1.4 16
√418609 = 647

Samacheer Kalvi 8th Maths Guide Chapter 1 Numbers Ex 1.4

Roots Calculator is a free online tool that displays the roots of the given quadratic equation.

Question 7.
Estimate the value of the following square roots to the nearest whole number:
(i) √440
(ii) √800
(iii) √1020
Answer:
(i) √440
we have 202 = 400
212= 441
∴ √440 ≃ 21

(ii) √800
we have 282 = 784
292= 841
∴ √800 ≃ 28

(iii) √1020
we have 312 = 961
322= 1024
∴ √1020 ≃ 32

Samacheer Kalvi 8th Maths Guide Chapter 1 Numbers Ex 1.4

Question 8.
Find the square root of the following decimal numbers and fractions.
(i) 2.89
(ii) 67.24
(iii) 2.0164
(iv) \(\frac{144}{225}\)
(v) \(7 \frac{18}{49}\)
Answer:
(i) 2.89
Samacheer Kalvi 8th Maths Guide Answers Chapter 1 Numbers Ex 1.4 17
√2.89 = 1.7

(ii) 67.24
Samacheer Kalvi 8th Maths Guide Answers Chapter 1 Numbers Ex 1.4 18
√67.24 = 8.2

(iii) 2.0164
Samacheer Kalvi 8th Maths Guide Answers Chapter 1 Numbers Ex 1.4 19
√2.0164 = 1.42

Samacheer Kalvi 8th Maths Guide Chapter 1 Numbers Ex 1.4

(iv) \(\frac{144}{225}\)
Samacheer Kalvi 8th Maths Guide Answers Chapter 1 Numbers Ex 1.4 20

(v) \(7 \frac{18}{49}\)
Samacheer Kalvi 8th Maths Guide Answers Chapter 1 Numbers Ex 1.4 21
\(\sqrt{7 \frac{18}{49}}=2 \frac{5}{7}\)

Question 9.
Find the least number that must be subtracted to 6666 so that it becomes a perfect square. Also, find the square root of the perfect square thus obtained.
Let us work out the process of finding the square root of 6666 by long division method.
Samacheer Kalvi 8th Maths Guide Answers Chapter 1 Numbers Ex 1.4 22
The remainder in the last step is 105. Is if 105 be subtracted from the given number the
remainder will be zero and the new number will be a perfect square.
∴ The required number is 105. The square number is 6666 – 105 = 6561.

Samacheer Kalvi 8th Maths Guide Chapter 1 Numbers Ex 1.4

Question 10.
Find the least number by which 1800 should be multiplied so that it becomes a perfect square. Also, find the square root of the perfect square thus obtained.
Answer:
We find 1800 = 2 × 2 × 3 × 3 × 5 × 5 × 2
= 22 × 32 × 52 × 2
Here the last factor 2 has no pair. So if we multiply 1800 by 2, then the number becomes a perfect square.
Samacheer Kalvi 8th Maths Guide Answers Chapter 1 Numbers Ex 1.4 23
∴ 1800 × 2 = 3600 is the required perfect square number.
∴ 3600 = 1800 × 2
3600 = 22 × 32 × 52 × 2 × 2
3600 = 22 × 32 × 52 × 22
= (2 × 3 × 5 × 2)2
\(\sqrt{3600}=\sqrt{(2 \times 3 \times 5 \times 2)^{2}}\)
= 2 × 3 × 5 × 2 = 60
∴ √3600 = 60

Samacheer Kalvi 8th Maths Guide Chapter 1 Numbers Ex 1.4

Objective Type Questions

Question 11.
The square of 43 ends with the digit .
(A) 9
(B) 6
(C) 4
(D) 3
Answer:
(A) 9
Hint:
Ones digit = 3 × 3 = 9

Question 12.
_______ is added to 242 to get 252.
(A) 42
(B) 52
(C) 62
(D) 72
Answer:
(D) 72
Hint:
252 = 25 × 25 = 625
242 = 24 × 24 = 576
Samacheer Kalvi 8th Maths Guide Answers Chapter 1 Numbers Ex 1.4 24

Samacheer Kalvi 8th Maths Guide Chapter 1 Numbers Ex 1.4

Question 13.
√48 is approximately equal to .
(A) 5
(B) 6
(C) 7
(D) 8
Answer:
(C) 7
Hint:
√49 = 7

Question 14.
\(\sqrt{128}-\sqrt{98}+\sqrt{18}\)
(A) √2
(B) √8
(C) √48
(D) √32
Answer:
(D) √32

Samacheer Kalvi 8th Maths Guide Chapter 1 Numbers Ex 1.4

Question 15.
The number of digits in the square root of 123454321 is ______.
(A) 4
(B) 5
(C) 6
(D) 7
Answer:
(B) 5
Hint:
\(\frac{n+1}{2}=\frac{10}{2}=5\)

Samacheer Kalvi 8th Maths Guide Chapter 7 Information processing Ex 7.2

Tamilnadu State Board New Syllabus Samacheer Kalvi 8th Maths Guide Pdf Chapter 7 Information processing Ex 7.2 Text Book Back Questions and Answers, Notes.

Tamilnadu Samacheer Kalvi 8th Maths Solutions Chapter 7 Information processing Ex 7.2

Question 1.
Using repeated division method, find the HCF of the following:
(i) 455 and 26
Answer:
Samacheer Kalvi 8th Maths Guide Answers Chapter 7 Information Processing Ex 7.2 1
Step 1: The larger number should be dividend 455 & smaller number should be divisor = 26
Step 2: After 1st division, the remainder becomes new divisor & the previous divisor becomes next dividend.
Step 3: This is done till remainder is zero.
Step 4: The last divisor is the HCF L.
∴ Ans: HCF is 13.

Samacheer Kalvi 8th Maths Guide Chapter 7 Information processing Ex 7.2

(ii) 392 and 256
Answer:
256 is smaller, so it is the 1st divisor
Samacheer Kalvi 8th Maths Guide Answers Chapter 7 Information Processing Ex 7.2 2
∴ HCF = 8

(iii) 6765 and 610
Answer:
Samacheer Kalvi 8th Maths Guide Answers Chapter 7 Information Processing Ex 7.2 3
∴ HCF = 5

Samacheer Kalvi 8th Maths Guide Chapter 7 Information processing Ex 7.2

(iv) 184, 230 and 276
Answer:
First let us take 184 & 230
Samacheer Kalvi 8th Maths Guide Answers Chapter 7 Information Processing Ex 7.2 4
∴ 46 is the HCF of 184 and 230
Now the HCF of the first two numbers is the dividend for the third number.
Samacheer Kalvi 8th Maths Guide Answers Chapter 7 Information Processing Ex 7.2 5
∴ Ans: HCF of 184, 230 & 276 is 46

Question 2.
Using repeated subtraction method, find the HCF of the following:
(i) 42 and 70
Answer:
Let number be m & n m > n
We do, m – n & the result of subtraction becomes new ‘m’. if m becomes less than n,
we do n – m and then assign the result as n. We should do this till m n. When m = n then ‘m’ is the HCF.
42 and 70
m = 70 n = 42
70 – 42 = 28

now m = 42, n = 28
42 – 28 = 14.

now m = 28, n = 14
28 – 14 = 14.

now m = 14. n = 14;
we stop here as m = n
∴ HCF of 42 & 70 is 14

Samacheer Kalvi 8th Maths Guide Chapter 7 Information processing Ex 7.2

(ii) 36 and 80
Answer:
Samacheer Kalvi 8th Maths Guide Answers Chapter 7 Information Processing Ex 7.2 8
28 – 8 = 20
20 – 8 = 12
12 – 8 = 4
8 = 4 = 4
now m = n = 4
∴ HCF is 4

(iii) 280 and 420
Answer:
Let m = 420, n = 280
m – n = 420 – 280 = 140
now m = 280, n = 140
m – n = 280 – 140 = 140
now m = n = 140
∴ HCF is 140

Samacheer Kalvi 8th Maths Guide Chapter 7 Information processing Ex 7.2

(iv) 1014 and 654
Answer:
Let m = 1014, n = 654
m – n = 1014 – 654 = 360
now m = 654, n = 360
m – n = 654 – 360 = 294
now m = 360, n = 294
m – n = 360 – 294 = 66
now m = 294 n = 66
m – n = 294 – 66 = 228
now m = 66, n = 228
n – m = 228 – 66 = 162
now m = 162, n = 66
= 162 – 66 = 96
n – m = 96 – 66 = 30
Similarly, 66 – 30 = 36
36 – 30 = 6
30 – 6 = 24
24 – 6 = 18
18 – 6 = 12
12 – 6 = 6 now m = n
∴ HCF of 1014 and 654 is 6

Samacheer Kalvi 8th Maths Guide Chapter 7 Information processing Ex 7.2

Question 3.
Do the given problems by repeated subtraction method and verify the result.
(i) 56 and 12
Samacheer Kalvi 8th Maths Guide Answers Chapter 7 Information Processing Ex 7.2 9
Answer:
Let n = 56 & n = 12
m – n = 56 – 12 = 44
now m = 44, n = 12
m – n = 44 – 12 = 32
m – n = 32 – 12 = 20
m – n = 20 – 12 = 8
n – m = 12 – 84
m – n = 8 – 4 = 4. now m = n
∴ HCF of 56 & 12 is 4

Samacheer Kalvi 8th Maths Guide Chapter 7 Information processing Ex 7.2

(ii) 320, 120 and 95
Samacheer Kalvi 8th Maths Guide Answers Chapter 7 Information Processing Ex 7.2 10
Answer:
Let us take 320 & 120 first m = 320, n = 120
m – n = 320 – 120 = 200
m = 200, n = 120
∴ m – n = 200 – 120 = 80
120 – 80 = 40
80 – 40 = 40
∴ m = n = 40 → HCF of 320, 120
Now let us find HCF of 40 & 95
m = 95, n = 40
∴ m – n = 95 – 40 = 55
55 – 40 = 15
40 – 15 = 25
25 – 15 = 10
15 – 10 = 5
HCF of 40 & 95 is 5
10 – 5 = 5
∴ HCF of 320 120 & 95 is 5

Samacheer Kalvi 8th Maths Guide Chapter 7 Information processing Ex 7.2

Question 4.
Kalai wants to cut identical squares as big as she can, from a piece of paper measuring 168mm and by 196mm. What is the length of the side of the biggest square? (To find HCF using repeated subtraction method)
Answer:
Sides are 168 & 196
To find HCF of 168 & 196, we are to use repeated subtraction method.
∴ m = 196, n = 168
m – n = 196 – 168 = 28

now n = 28, m = 168
m – n = 168 – 28 = 140

now m = 140, n = 28
m – n = 140 – 28 = 112

now m = 112, n = 28
m – n = 112 – 28 = 84

now m = 84, n = 28
m – n = 84 – 28 = 56

now m = 56, n = 28
m – n = 56 – 28 = 28
∴ HCF is 28
∴ Length of biggest square is 28

Samacheer Kalvi 8th Maths Guide Chapter 7 Information processing Ex 7.2

Objective Type Questions

Question 5.
What is the eleventh Fibonacci number?
(a) 55
(b) 77
(c) 89
(d) 144
Answer:
(c) 89
Hint:
Samacheer Kalvi 8th Maths Guide Answers Chapter 7 Information Processing Ex 7.2 11
∴ 11th Fibonacci number is 89

Question 6.
If F(n) is a Fibonacci number and n = 8, which of the following is true?
(a) F(8) = F(9) + F( 10)
(b) F(8) = F(7) + F(6)
(c) F(8) = F(10) × F(9)
(d) F(8) = F(7) – F(6)
Answer:
(b) F(8) = F(7) + F(6)
Hint:
Given F(n) is a Fibonacci number & n = 8
∴ F(8) = F(7) + F (6) as any term in Fibonacci series is the sum of preceding 2 terms

Samacheer Kalvi 8th Maths Guide Chapter 7 Information processing Ex 7.2

Question 7.
Every 3rd number of the Fibonacci sequence is a multiple of_______
(a) 2
(b) 3
(c) 5
(d) 8
Answer:
(a) 2
Hint:
Every 3rd number in Fibonacci sequence is a multiple of 2

Question 8.
Every _____ number of the Fibonacci sequence is a multiple of 8
(a) 2th
(b) 4th
(c) 6th
(d) 8th
Answer:
(c) 6th

Samacheer Kalvi 8th Maths Guide Chapter 7 Information processing Ex 7.2

Question 9.
The difference between the 18th and 17th Fibonacci number is
(a) 233
(b) 377
(c) 610
(d) 987
Answer:
(d) 987
Hint:
F(18) = F(17) + F(16)
F(18) – F(17) = F(16) = F(15) + F(14)
= 610 + 377 = 987

Factors of 70 are the list of integers that we can split evenly into 70.

Question 10.
Common prime factors of 30 and 250 are
(a) 2 × 5
(b) 3 × 5
(c) 2 × 3 × 5
(d) 5 × 5
Answer:
(a) 2 × 5
Prime factors of 30 are 2 × 3 × 5
Prime factors of 250 are 5 × 5 × 5 × 2
∴ Common prime factors are 2 × 5

Samacheer Kalvi 8th Maths Guide Chapter 7 Information processing Ex 7.2

Question 11.
Common prime factors of 36,60 and 72 are
(a) 2 × 2
(b) 2 × 3
(c) 3 × 3
(d) 3 × 2 × 2
Answer:
(d) 3 × 2 × 2
Hint:
Prime factors of 36 are 2 × 2 × 3 × 3
Prime factors of 60 are 2 × 2 × 3 × 5
Prime factors of 72 are 2 × 2 × 2 × 3 × 3
∴ Common prime factors are 2 × 2 × 3

Question 12.
Two numbers are said to be co-prime numbers if their HCF is
(a) 2
(b) 3
(c) 0
(d) 1
Answer:
(d) 11

Samacheer Kalvi 5th Maths Guide Term 2 Chapter 2 Numbers InText Questions

Students can download 5th Maths Term 2 Chapter 2 Numbers InText Questions and Answers, Notes, Samacheer Kalvi 5th Maths Guide Pdf helps you to revise the complete Tamilnadu State Board New Syllabus, helps students complete homework assignments and to score high marks in board exams.

Tamilnadu Samacheer Kalvi 5th Maths Solutions Term 2 Chapter 2 Numbers InText Questions

Try These (Text Book Page No. 5)

12 = 1 × 1 = 1
22 = 2 × 2 = 4
32 = 3 × 3 = 9
42 = 4 × 4 = 16
52 = 5 × 5 = 25
62 = 6 × 6 = ______
72 = 7 × 7 = ______
82 = 8 × 8 = ______
92 = 9 × 9 = ______
102 = 10 × 10 = ______
Answer:
12 = 1 × 1 = 1
22 = 2 × 2 = 4
32 = 3 × 3 = 9
42 = 4 × 4 = 16
52 = 5 × 5 = 25
62 = 6 × 6 = 36
72 = 7 × 7 = 49
82 = 8 × 8 = 64
92 = 9 × 9 = 81
102 = 10 × 10 = 100

Samacheer Kalvi 5th Maths Guide Term 2 Chapter 2 InText Questions

Activity (Text Book Page No. 6)

A. Count and Write the number of boxes:

Question 1.
Samacheer Kalvi 5th Maths Guide Term 2 Chapter 2 Numbers InText Questions 1
Answer:
1

Question 2.
Samacheer Kalvi 5th Maths Guide Term 2 Chapter 2 Numbers InText Questions 2
Answer:
4

Question 3.
Samacheer Kalvi 5th Maths Guide Term 2 Chapter 2 Numbers InText Questions 3
Answer:
9

Question 4.
Samacheer Kalvi 5th Maths Guide Term 2 Chapter 2 Numbers InText Questions 4
Answer:
16

Samacheer Kalvi 5th Maths Guide Term 2 Chapter 2 InText Questions

B. Circle and colour the square numbers:

Question 1.
Samacheer Kalvi 5th Maths Guide Term 2 Chapter 2 Numbers InText Questions 5
Answer:
Samacheer Kalvi 5th Maths Guide Term 2 Chapter 2 Numbers InText Questions 6

Samacheer Kalvi 5th Maths Guide Term 2 Chapter 2 InText Questions

Work Sheet (Text Book Page No. 7)

I. Answer the following:

Question 1.
The square number of 2 is _________
Hint : 2 × 2 = 4
Answer:
4

Question 2.
The square number of 5 is
hint : 5 × 5 = 25
Answer:
25

Question 3.
Samacheer Kalvi 5th Maths Guide Term 2 Chapter 2 Numbers InText Questions 7
These number of boxes is equal to one square number,
The number is ________
Answer:
The number is 9

Samacheer Kalvi 5th Maths Guide Term 2 Chapter 2 InText Questions

Question 4.
Which of following number is square number
a. 23
b. 54
c. 36
d. 45
HInt = 62 = 6 × 6 = 36
Answer:
36

Question 5.
What is next square number of 49?
a. 76
b. 95
C. 64
d. 45
Hint : 7 × 7 = 49
8 × 8 = 64
Answer:
64

Samacheer Kalvi 5th Maths Guide Term 2 Chapter 2 InText Questions

Therefore, we get the Factor of 24 by dividing it with even Numbers which do not leave a remainder.

Try These (Text Book Page No. 8)

Find the Factors:
Factors of 4 are 1, 2 and 4.
Factors of 10 are 1, 2, 5 and 10.
Factors of 16 are 1, 2, 4, 8 and 16.
Factors of 18 are ________
Factors of 20 are ________
Factors of 24 are ________
Factors of 42 are ________
Answer:
Factors of 18 are ________
Samacheer Kalvi 5th Maths Guide Term 2 Chapter 2 Numbers InText Questions 8
1,2,3,6,9 and 18 are the factors of 18.

Factors of 20 are ________
Samacheer Kalvi 5th Maths Guide Term 2 Chapter 2 Numbers InText Questions 9
1,2,4,5,10 and 20 are factors of 20.

Factors of 24 are ________
Samacheer Kalvi 5th Maths Guide Term 2 Chapter 2 Numbers InText Questions 10
1,2,3,46,8, 12 and 24 are factors of 24.

Factors of 42 are ________
Samacheer Kalvi 5th Maths Guide Term 2 Chapter 2 Numbers InText Questions 11
1,2,3,6,7,14,21 and 42 are factors of 42.

Samacheer Kalvi 5th Maths Guide Term 2 Chapter 2 InText Questions

Activity (Text Book Page No. 9)

Tick the factors of the following numbers
Samacheer Kalvi 5th Maths Guide Term 2 Chapter 2 Numbers InText Questions 12
Answer:
Samacheer Kalvi 5th Maths Guide Term 2 Chapter 2 Numbers InText Questions 13

Try These (Text Book Page No. 11)

5, 10, 15, _____, _____, _____, _____
Answer:
20, 25, 30, 35, 40

Samacheer Kalvi 5th Maths Guide Term 2 Chapter 2 InText Questions

Try These (Text Book Page No. 12)

Find L.C.M
1. 10 and 15
2. 8 and 6
3. 4 and 10
4. 6 and 16
Answer:
1. 10 and 15
Samacheer Kalvi 5th Maths Guide Term 2 Chapter 2 Numbers InText Questions 14
Common multiples of 10, 15 are 30, 60, 90, …
LCM of 10, 15 is 30.

2. 8 and 6
Samacheer Kalvi 5th Maths Guide Term 2 Chapter 2 Numbers InText Questions 15
Common multiples of 6, 8 are 24, 48,
LCM of 6, 8 is 24.

Samacheer Kalvi 5th Maths Guide Term 2 Chapter 2 InText Questions

3. 4 and 10
Multiple of 4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, …
Multiple of 10 = 10, 20, 30. 40, 50, 60, …
Common multiples of 4, 10 ore 20, 40, …
LCM of 4, 10 is 20.

(4) 6 and 16
Multiple of 6 – 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102, …
Multiple of 16 – 16, 32, 48, 64, 80, 96, 112, …
Common multiples of 6. 16 are 48, 96, …
LCM of 6, 16 is 48.

Samacheer Kalvi 5th Maths Guide Term 2 Chapter 2 InText Questions

Think it (Text Book Page No. 12)

Can we say the highest common multiples for two numbers?
Answer:
No only LCM