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CBSE · Class 8 · Mathematics

Proportional Reasoning-2

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.
A map has a scale of 1 cm : 2 km. Two places are 13 cm apart on the map. The real distance is:
  1. 2 km
  2. 15 km
  3. 260 km
  4. 26 km
2.
Rs 3546 is shared in the ratio 7 : 5 : 6. The second share is:
  1. Rs 1,182
  2. Rs 986
  3. Rs 985
  4. Rs 984
3.
On a map, a scale of 1 cm : 5 km means:
  1. the map is 5 km wide
  2. 5 cm stands for 1 km
  3. the map is 1 cm wide
  4. 1 cm on the map stands for 5 km on the ground
4.
3 workers can finish a job in 16 days. At the same rate, 2 workers take:
  1. 24 days
  2. 18 days
  3. 16 days
  4. 48 days
5.
In a pie chart of 45 people, 26 chose tea. The tea slice measures:
  1. 208°
  2. 152°
  3. 26°
  4. 52°
6.
A bus takes 10 hours at 60 km/h. At 120 km/h, the same trip takes:
  1. 7 hours
  2. 10 hours
  3. 20 hours
  4. 5 hours
7.
Concrete is mixed as cement : sand : gravel = 1 : 2 : 4. For 14 bags in all, how many are sand?
  1. 7
  2. 2
  3. 8
  4. 4
8.
If a : b = 5 : 8 and b : c = 3 : 5, then a : b : c is:
  1. 5 : 8 : 3
  2. 5 : 8 : 5
  3. 5 : 11 : 5
  4. 15 : 24 : 40
Section B — Short answer8 × 2 = 16 marks
9.
A map has a scale of 1 cm : 5 km. How far apart on the map are two cities 85 km apart?
10.
90 students chose walking (12), bus (52) and cycle (26). Find the angle of each slice of a pie chart.
11.
6 identical taps fill a tank in 10 hours. How long would 15 taps take?
12.
Share Rs 3597 among three children in the ratio 2 : 4 : 5.
13.
A plan of a room has a scale of 1 : 250. On the plan the room is 8 cm by 10 cm. Find its real length, breadth and floor area.
14.
A family budget of Rs 4800 is shown in a pie chart. The food slice is 150°. How much is spent on food?
15.
Find the missing number: 11 : 9 = 22 : ☐
16.
A camp has food for 46 people for 20 days. How long will it last for 10 people?
Section C — Word problems4 × 4 = 16 marks
17.
On a map with scale 1 cm : 5 km, Isha's route goes 13 cm to one town and then 10 cm to the next. How far is the real trip? At 50 km/h, how long does it take?
18.
A family's monthly budget of Rs 12000 is shown in a pie chart: rent 120°, food 120°, travel 60°, savings 60°. How much goes to each?
19.
9 masons can build a wall in 18 days. The wall must be finished in 9 days. How many masons are needed, working at the same rate?
20.
Concrete is mixed with cement, sand and gravel in the ratio 2 : 3 : 5. How many bags of each are needed for 300 bags in all?
AmbifulWorksheets
Practice that never repeats
CBSE · Class 8 · Mathematics

Answer key

Proportional Reasoning-2 · AW-8M-PR2-2026-V1 · For parents — fold back or tear off before handing the sheet to your child.

QAnswerWorking
1(d) 26 km13 × 2
2(c) Rs 9853546 ÷ 18 = 197; × 5
3(d) 1 cm on the map stands for 5 km on the ground—
4(a) 24 days3 × 16 = 48 worker-days; 48 ÷ 2
5(a) 208°26/45 × 360°
6(d) 5 hoursdistance 60 × 10 = 600 km; 600 ÷ 120
7(d) 414 ÷ 7 × 2
8(d) 15 : 24 : 40make b the same: 15 : 24 and 24 : 40
917 cm85 ÷ 5
1048°, 208°, 104°each student is 360° ÷ 90 = 4°
114 hours6 × 10 = 60 tap-hours; ÷ 15
12Rs 654, Rs 1,308, Rs 1,6353597 ÷ 11 = 327
1320 m by 25 m; 500 m28 × 250 = 2000 cm; 10 × 250 = 2500 cm
14Rs 2,000150/360 × 4800
151811 × 2 = 22, so 9 × 2
1692 days920 person-days ÷ 10
17115 km; 2.3 hours(13 + 10) × 5 = 115; ÷ 50
18rent Rs 4,000, food Rs 4,000, travel Rs 2,000, savings Rs 2,000amount = angle ÷ 360 × total
1918 masons9 × 18 = 162 mason-days; ÷ 9
20cement 60, sand 90, gravel 150300 ÷ 10 = 30