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Direct and Inverse Proportions Practice Questions

Class 8 · Mathematics · 654 free MCQs with instant results and detailed explanations.

654
Total
196
Easy
298
Medium
160
Hard

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Topics in Direct and Inverse Proportions

Direct Proportion 276
Inverse Proportion 257
Applications 121

Sample Questions from Direct and Inverse Proportions

Here are 10 sample questions. Start a quiz to get randomized questions with scoring.

Q1
Easy
A car travels 150 km on 10 liters of fuel. How far can it travel on 15 liters?
A. 180 km
B. 200 km
C. 225 km
D. 250 km
Show Answer & Explanation
Correct Answer: C
Distance traveled is directly proportional to fuel. Thus, (150/10) = (x/15) gives x = 225 km.
Q2
Easy
If 4 workers can complete a task in 12 days, how long will it take for 6 workers to finish the same task?
A. 8 days
B. 10 days
C. 12 days
D. 14 days
Show Answer & Explanation
Correct Answer: A
Work is inversely proportional to the number of workers. If more workers are added, time decreases. 4 workers take 12 days, so 6 workers take (4/6) * 12 = 8 days.
Q3
Easy
If the speed of a car is doubled, how does the time taken for a journey change?
A. It doubles
B. It remains the same
C. It halves
D. It decreases by a quarter
Show Answer & Explanation
Correct Answer: C
Time is inversely proportional to speed. If speed doubles, the time taken halves.
Q4
Medium
If a recipe requires 4 cups of flour for 8 servings, how many cups are needed for 20 servings?
A. 8 cups
B. 10 cups
C. 12 cups
D. 6 cups
Show Answer & Explanation
Correct Answer: B
The amount of flour is directly proportional to the number of servings. If 8 servings require 4 cups, then 20 servings will need (20/8) * 4 = 10 cups.
Q5
Medium
A bike covers 45 km in 1.5 hours. What distance will it cover in 3 hours?
A. 90 km
B. 75 km
C. 80 km
D. 85 km
Show Answer & Explanation
Correct Answer: A
The relationship between distance and time is direct. If it covers 45 km in 1.5 hours, in 3 hours it will cover 45 km * (3/1.5) = 90 km.
Q6
Medium
If 3 workers can finish a job in 12 days, how long will it take 6 workers to finish the same job?
A. 18 days
B. 12 days
C. 6 days
D. 9 days
Show Answer & Explanation
Correct Answer: C
The number of workers and the time taken to complete a job are inversely proportional. More workers mean less time. So, if 3 workers take 12 days, 6 workers will take 12/2 = 6 days.
Q7
Medium
A car's fuel efficiency is 15 km/l. How much fuel will it need to travel 120 km?
A. 8 liters
B. 6 liters
C. 10 liters
D. 7 liters
Show Answer & Explanation
Correct Answer: A
The fuel needed is directly proportional to distance. To travel 120 km at 15 km/l, it will need 120/15 = 8 liters of fuel.
Q8
Hard
A car travels 300 km using 15 liters of fuel. How far can it travel using 25 liters of fuel?
A. 500 km
B. 450 km
C. 600 km
D. 400 km
Show Answer & Explanation
Correct Answer: A
The distance traveled is directly proportional to the amount of fuel used. Thus, using 25 liters, the distance would be (300/15) * 25 = 500 km.
Q9
Hard
If a recipe for 4 servings requires 2 cups of sugar, how much sugar is needed for 10 servings?
A. 4.5 cups
B. 5 cups
C. 6 cups
D. 3.5 cups
Show Answer & Explanation
Correct Answer: B
The sugar required is directly proportional to the number of servings. For 10 servings, (10/4) * 2 = 5 cups.
Q10
Hard
A factory produces 100 units in 2 hours. How many units can it produce in 5 hours at the same rate?
A. 250 units
B. 300 units
C. 200 units
D. 150 units
Show Answer & Explanation
Correct Answer: A
Production is directly proportional to time. The rate is 100 units/2 hours, so in 5 hours, it can produce (100/2) * 5 = 250 units.

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Direct and Inverse Proportions — Class 8 Mathematics Practice Questions Online

This page contains 654 practice MCQs for the chapter Direct and Inverse Proportions in Class 8 Mathematics. The questions are organized by difficulty — 196 easy, 298 medium, 160 hard — so you can choose the right level for your preparation.

Every question includes a detailed explanation to help you understand the concept, not just memorize answers. Take a timed quiz to simulate exam conditions, or practice at your own pace with no time limit. This chapter covers 3 topics, giving you comprehensive coverage of the entire chapter.