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CBSE · Class 8 · Mathematics

Proportional Reasoning-1

Standard difficulty · 20 questions · 40 marks

Name: Date: Score: ____ / 40

Show your working for Sections B and C. Answers are on the last page — try every question first!

Section A — Choose the correct answer8 × 1 = 8 marks
1.
21 : 9 in its simplest form is:
  1. 7 : 3
  2. 8 : 4
  3. 21 : 3
  4. 3 : 7
2.
Which ratio is equivalent to 5 : 2?
  1. 30 : 2
  2. 11 : 8
  3. 12 : 30
  4. 30 : 12
3.
A ratio between two quantities of the same kind has:
  1. the unit of the second quantity
  2. the unit cm
  3. the unit of the first quantity
  4. no unit
4.
The ratio of 75 cm to 5 m is:
  1. 3 : 5
  2. 75 : 5
  3. 3 : 20
  4. 5 : 75
5.
If 5 pencils cost Rs 85, one pencil costs:
  1. Rs 5
  2. Rs 17
  3. Rs 425
  4. Rs 22
6.
Which pair of ratios is in proportion?
  1. 7 : 3 and 28 : 7
  2. 7 : 3 and 28 : 12
  3. 7 : 3 and 11 : 7
  4. 7 : 3 and 12 : 28
7.
9 : 8 = ____ : 24
  1. 27
  2. 12
  3. 24
  4. 72
8.
A class has 13 boys and 16 girls. The ratio of boys to girls is:
  1. 13 : 16
  2. 13 : 29
  3. 16 : 13
  4. 14 : 16
Section B — Short answer8 × 2 = 16 marks
9.
Find the ratio of 75 paise to Rs 9.
10.
Divide Rs 288 between Meena and Sonu in the ratio 1 : 5.
11.
Are 3, 8, 15 and 40 in proportion? Give a reason.
12.
7 notebooks cost Rs 182. Find the cost of 10 notebooks.
13.
Find x if 5 : 6 = x : 30.
14.
A rectangle is 12 cm long and 6 cm wide. Find the ratio of its breadth to its length.
15.
Which ratio is greater: 3 : 4 or 3 : 5?
16.
A bus travels 120 km in 4 hours. How far will it travel in 8 hours at the same speed?
Section C — Word problems4 × 4 = 16 marks
17.
In a school choir the ratio of girls to boys is 4 : 3. There are 42 members in all. How many are girls and how many are boys?
18.
A recipe uses 4 cups of rice for 7 people. How many cups are needed for 35 people?
19.
On a map, 1 cm stands for 50 km. Two towns are 10 cm apart on the map. What is the real distance?
20.
Pack A has 3 soaps for Rs 78. Pack B has 5 soaps for Rs 140. Which is the better buy?
AmbifulWorksheets
Practice that never repeats
CBSE · Class 8 · Mathematics

Answer key

Proportional Reasoning-1 · AW-8M-PRR-2026-V1 · For parents — fold back or tear off before handing the sheet to your child.

QAnswerWorking
1(a) 7 : 3divide both by 3
2(d) 30 : 12multiply both by 6
3(d) no unit—
4(c) 3 : 205 m = 500 cm
5(b) Rs 1785 ÷ 5
6(b) 7 : 3 and 28 : 127 × 12 = 3 × 28
7(a) 27× 3
8(a) 13 : 1613 : 16, divide by 1
91 : 12Rs 9 = 900 paise; 75 : 900
10Meena Rs 48, Sonu Rs 2406 parts = 288; 1 part = 48
11Yes3 × 40 = 120; 8 × 15 = 120
12Rs 2601 notebook = 26; 10 × 26 = 260
13x = 256 × 5 = 30, so x = 5 × 5 = 25
141 : 26 : 12, divide by 6
153 : 43/4 = 15/20, 3/5 = 12/20
16240 km1 hour = 30 km; 8 × 30 = 240
1724 girls, 18 boys7 parts = 42; 1 part = 6
1820 cups35 ÷ 7 = 5; 4 × 5 = 20
19500 km10 × 50 = 500
20Pack A (Rs 26 per soap)A: 78 ÷ 3 = 26; B: 140 ÷ 5 = 28