Proportional Reasoning-2 — Practice Quiz
CBSE · Class 8 · Mathematics
Try a 4-question quiz on Proportional Reasoning-2 for CBSE Class 8 Mathematics: tap an answer to check it and see why.
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Quick Quiz: Proportional Reasoning-2
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A school uses the ratio 1:1.5:3 for cement, sand, and gravel. If the total concrete needed is 110 units, how many units of cement are needed?
A purple paint mix has Red:Blue:White = 2:3:5. If the white paint is 10 litres, how many litres of red and blue paint are needed together?
Ram and Shyam together cut vegetables. Ram cuts the work in 1 hour and Shyam cuts the same work in 1.5 hours. How long do they take together to finish the work?
Puneet's father travels from Lucknow to Kanpur in 3 hours at 30 km/h. If the speed changes to 60 km/h, how long will the same journey take?
Sample Questions
A school has provisions for 80 students for 15 days. If 20 more students join, how many days will the provisions last?
Show answer
12 days
More students mean fewer days, so use inverse proportion. Total student-days = 80 × 15 = 1200. For 100 students, days = 1200 ÷ 100 = 12 days.
5 workers can move 4500 bricks in a day. How many workers are needed to move 18000 bricks in a day?
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20 workers
This is direct proportion. Use the rule of three: 4500 : 18000 :: 5 : x. So x = (18000 × 5) ÷ 4500 = 20 workers.
2 pumps fill a tank in 18 hours. How long will 4 pumps of the same kind take to fill the same tank?
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9 hours
Pumps and time are inversely proportional. Product stays constant: 2 × 18 = 4 × x. So x = 36 ÷ 4 = 9 hours.
The ratio of students scoring grades A, B, C, D, and E is 12:10:8:6:4. What is the simplest form of this ratio?
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6:5:4:3:2
Divide every term by the HCF, which is 2. So 12:10:8:6:4 becomes 6:5:4:3:2.
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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