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CBSE 7th Standard Mathematics Comparing Quantities Sample Question Papers Study Material - QB365 Set A

Published on: 31/10/2025

Question Set A

CBSE 7th Standard Mathematics Comparing Quantities Sample Question Papers Study Material - QB365

Download CBSE Class 7th Standard CBSE Mathematics question papers, sample papers, important questions, and previous year solved papers in PDF format. Get free study materials, NCERT solutions, and exam preparation resources for Class 7th Standard CBSE Mathematics

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Std: 7th Standard CBSE - Mathematics

chapter: Comparing Quantities - Sample Question Papers

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Questions:

Generic 2

5 x 2 = 10

Convert 55% as a fraction.

9 is 25% of what number?

60 cows can graze a field in 12 days, then how many cows will graze the same field in 5 days?

Determine the value of x, if x : 4:: 2 : 3.

Find the ratio of 4 km to 300 m.

Generic 3

3 x 3 = 9

In a city, 30% are females, 40% are males and remaining are children. What per cent are children?

Mala has a collection of bangles. She has 20 gold bangles and 10 silver bangles. What is the percentage of bangles of each type? Can you put it in the tabular form as done in the above example?

Find the ratio of 15 kg to 210 g

Generic 5

1 x 5 = 5

(i) Out of 32 students, 8 are absent. What per cent of the students are absent?
(ii) There are 25 radios, 16 of them are out of order. What per cent of radios are out of order?
(iii) A shop has 500 parts, out of which 5 are defective. What per cent are defective?
(iv) There are 120 voters, 90 of them voted yes. What per cent voted yes?

Multiple Choice Question

5 x 1 = 5

10.

The ratio of 3 kg and 1 kg 500 g is :

(a)

1:5

(b)

2:1

(c)

2:3

(d)

3:2

11.

\(\frac { 5 }{ 20 } \) is equal to:

(a)

40%

(b)

45%

(c)

25%

(d)

20%

12.

What rate gives Rs 280 as interest on a sum of Rs 56000 in 2 yr?

(a)

2.5%

(b)

0.25%

(c)

25%

(d)

0.025%

13.

In a scout camp, 40% of the scouts were from Gujarat State and 20% of these were from Ahmedabad. The percentage of scouts in the camp from Ahmedabad is

(a)

25%

(b)

32.5%

(c)

(d)

50%

14.

Which of the following is the ratio of 3 km to 300 m?

(a)

10: 1

(b)

1 : 10

(c)

100: 1

(d)

1 : 100

Fill up / 1 Marks

5 x 1 = 5

15.

25 ml is ____________________ percent of 5 liters.

16.

2.5 =___________ %

17.

Rohini bought a bed sheet for Rs 400 and sold it for Rs 440________________Her % is ______________

18.

15 kg is _________________% of 50 kg.

19.

\(18{3\over4}\%\)=_________________

True or False

5 x 1 = 5

20.

If a chair is bought for Rs 2000 and is sold at a gain of 10%, then selling price of the chair is Rs 2010.

(a)

True

(b)

False

21.

Out of 600 students of a school, 126 go for a picnic. The percentage of students that did not go for the picnic is 75%.

(a)

True

(b)

False

22.

8 h is 50% of 4 days.

(a)

True

(b)

False

23.

\({4\over3}=44{2\over3}\%\)

(a)

True

(b)

False

24.

When an improper fraction is converted into percentage, then the answer can also be less than 100.

(a)

True

(b)

False

Match the following

5 x 1 = 5

25.

Selling price is

26.

10% of Rs.10

27.

\(6{1\over4}\%\)

28.

0.25

29.

Loss %

1 Marks

5 x 1 = 5

30.

Find the ratio of 9 m to 450 cm

31.

What amount will Rs.100 become after 1 year at simple interest of 10% p.a.?

32.

What per cent of 1 hour is 36 seconds?

33.

Which is greater 3 : 4 or 4 : 5?

34.

Find the mean proportion between 9 and 16.

Generic 4

1 x 4 = 4

35.

In an examination, 72% of the total examinees passed. If the number of failures is 392, find the total number of examinees.

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Answers Key:

Generic 2

5 x 2 = 10

Given, 55%
For fraction,
\(55\times{1\over100}={55\over100}={11\over20}\)

Let the number be x
\(\therefore\) 25% of \(x =9 \Rightarrow {25\over100}\times x=9 \Rightarrow {x\over4}=9\)
\(\Rightarrow x=9\times4 \Rightarrow x =36\)
Hence, the number is 36.

144 cows

8\3

To find the ratio of 4 Ian to 300 m,
firstly, convert both the numbers into same unit.
\(\because \ 1km=1000m \Rightarrow 4km =4\times 1000=4000m\)
So, ratio of 4000 m to 300 m \(={4000\over 300} =40:3\)
Hence, required ratio is 40:3.

Generic 3

3 x 3 = 9

Given, percentage of females = 30%
Percentage of males = 40% and remaining are children.
This means that, if the total population of city is 100, out of them 30 are females, 40 are r.iales and remaining children.
Then, number of children = 100 - (30 + 40) = 100 - 70 = 30
Hence, there are 30% children in a city.

Putting the data in the tabular form, we get

Bangles	Number	Fraction	Denominator Hundred	In Percentage
Gold	20	\({20\over30}\)	\({20\over30}\times{100\over100}={200\over3}\times{1\over100}\)	\(66.67\% or 66{2\over3}\%\)
Silver	10	\({10\over30}\)	\({10\over30}\times{100\over100}={100\over3}\times{1\over100}\)	\(33.33\% or 33{1\over3}\%\)
Total	30

We have, 15 kg to 210 g
We know that, 1 kg = 1000 g
15 kg = 15 X 1000 g = 15000g
\(\therefore\) Required ratio = 15 kg: 210 g = 15000 g: 210 g
=15000:210\(={15000\over210}={1500\over21}={500\over7}or 500:7\)

Generic 5

1 x 5 = 5

(i) Given, total number of students = 32
Number of absent students = 8
\(\therefore\) Percentage of absent students
\(({Number \ of \ absent \ students \over Total \ number \ of \ students}\times 100)\% \\ ({8\over32}\times 100)\%=25\%\)
Hence, 25% of the students are absent.
(ii) Total number of radios = 25
Number of radios which are out of order = 16
\(\therefore\) Percentage of radios which are out of order
\(=({Number \ of \ radios \ which \ are \ out \ of \ order\over Total \ number \ of \ ratios}\times 100)\% \\=({16\over25}\times 100)\%=(16\times4)\%=64\%\)
Hence, 64% of radios are out of order.
(iii)Total number of parts = 500
Number of defective parts = 5
\(\therefore\) Percentage of defective parts
\(=({Number \ of \ defective\ parts\over Total \ number \ of \ parts}\times 100)\% \\=({5\over500}\times 100)\%=1\%\)
Hence, 1% parts are defective.
(iv) Total number of voters = 120
Number of voters voted yes = 90
\(\therefore\) Percentage of voters voted yes
\(=({Number \ of \ voters \ voted \ yes \over Total \ number \ of \ votes }\times 100)\% \\=({90\over120}\times 100)\%=(3\times 25)\%=1\%\)
Hence, 75% of voters voted yes.

Multiple Choice Question

5 x 1 = 5

10.

(b)
2:1

11.

12.

(b)
0.25%

13.

14.

(a)
10: 1

Fill up / 1 Marks

5 x 1 = 5

15.

()
0.5%

16.

()
250

17.

()
Profit% is 10%

18.

()
30%

19.

()
3:16

True or False

5 x 1 = 5

20.

(b)
False

21.

(b)
False

22.

(b)
False

23.

(b)
False

24.

(b)
False

Match the following

5 x 1 = 5

25.

()
\(\left[{100+gain\%\over100}\times CP\right]\)

26.

()
Rs.1

27.

()
1:16

28.

()
25%

29.

()
\({Loss\over cost \ price}\times 100\)

1 Marks

5 x 1 = 5

30.

()
2 : 1

31.

()
Rs.110

32.

()
1%

33.

()
4 : 5

34.

()
Mean proportion =\(\sqrt { 9\times 16 } =12\)

Generic 4

1 x 4 = 4

35.

Let the number of students = 100
Passed students = 12
Hence, failed students = 100 - 12 = 28
\(\because \) When failed are 28, then total no. of students
=100
\(\because \)When failed are 392, then total no. of students
=\(\frac { 100 }{ 28 } \times \)392
=1400