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29 questions · self-marked practice — reveal the answer and mark yourself.

Question 11 Mark
Find the part of each of the following numbers equal to the given fraction. :

$\frac{5}{13}$ of 65

Answer
$\frac{5}{13} \times 65$ So, we take $\frac{1}{13}$ of 65,5 times

$\frac{1}{13} \times 65=55$ times of 5 is $5 \times 5=25$

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Question 21 Mark
Find the part of each of the following numbers equal to the given fraction. :

$\frac{3}{8}$ of 64

Answer
$\frac{3}{8} \times 64$ So, we take $\frac{1}{8}$ of 64 , thrice

$\frac{1}{8} \times 64=8,3$ times 8 is $3 \times 8=24$

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Question 31 Mark
Find the part of each of the following numbers equal to the given fraction. :

$\frac{7}{11}$ of 22

Answer
$\frac{7}{11} \times 22$ So, we take of 22,7 times

$\frac{1}{11} \times 22=2$, seven times of 2 is $2 \times 7=14$

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Question 41 Mark
Find the part of each of the following numbers equal to the given fraction. :

$\frac{2}{3}$ of 30

Answer
$\frac{2}{3} \times 30$ So, we take $\frac{1}{3}$ of 30 , twice

$\frac{1}{3} \times 30=10$, twice of 10 is $2 \times 10=20$

It means that $\frac{2}{3} \times 30=20$

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Question 51 Mark
What is $\frac{1}{5}$ of each of the following?

20 rupees

30 km

15 litres

25 cm

Answer
20 rupees → $\frac{1}{5}$ of 20 = 4, 20 ÷ 5 = 4 rupees.

30 km → $\frac{1}{5}$ of 30 = 6, 30 ÷ 5 = 6km.

15 litres → $\frac{1}{5}$ of 15 = 3, 15 ÷ 5 = 3 litres.

25 cm → $\frac{1}{5}$ of 25 = 5, 25 ÷ 5 = 5cm.

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Question 61 Mark
What is$\frac{1}{3}$ of each of the collections given below

15 pencils

21 balloons

9 children

18 books

Answer
15 pencils →$\frac{1}{3}$ of 15 = 5, 15 ÷ 3 = 5 pencils.

21 baloons → $\frac{1}{3}$ of 21 = 7,21 ÷ 3 = 7 baloons.

9 children → $\frac{1}{3}$ of 9 = 3, 9 ÷ 3 = 3

chi1dren. 18 books →$\frac{1}{3}$ of 18 = 6, 18 ÷ 3 = 6 books.

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Question 231 Mark
$\frac{\square}{5}=\frac{10}{25}$
Answer
Here 25 ÷ 5 = 5,

$\frac{10}{25}=\frac{10 \div 5}{25 \div 5}=\frac{2}{5}$

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Question 241 Mark
$\frac{1}{\square}=\frac{4}{20}$
Answer
Here 4 ÷ 4 = 1,

$\frac{9}{11}=\frac{9 \times 2}{11 \times 2}=\frac{18}{22}$

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Question 251 Mark
$\frac{\square}{3}=\frac{4}{6}$
Answer
Here 6 ÷ 2 = 3,

$\frac{10}{40}=\frac{10 \div 5}{40+5}=\frac{2}{8}$

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Question 271 Mark
$\frac{9}{11}=\frac{18}{\square}$
Answer
Here 18 = 9 x 2

$\frac{4}{20}=\frac{4 \div 4}{20 \div 4}=\frac{1}{5}$

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Question 281 Mark
$\frac{3}{4}=\frac{15}{\square}$
Answer
Here 15 = 3 x 5

$\therefore \frac{3}{4}=\frac{3 \times 5}{4 \times 5}=\frac{15}{20}$

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Question 291 Mark
Write the proper number in the box.

$\frac{1}{2}=\frac{\square}{20}$

Answer
Here 20 = 2 x 10

$\therefore \frac{1}{2}=\frac{1 \times 10}{2 \times 10}=\frac{10}{20}$

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