Proportional Reasoning-1
CBSE · Class 8 · Mathematics
Most important questions from Proportional Reasoning-1 for CBSE Class 8 Mathematics board exam 2026. MCQs, short answer, and long answer questions with marks.
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Sample Questions
Image A has width 60 cm and height 40 cm. Image D has width 90 cm and height 60 cm. Which statement about these two images is correct?
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Both ratios reduce to 3 : 2, The images are proportional
Step 1: Reduce 60:40 by dividing by 20 to get 3:2. Step 2: Reduce 90:60 by dividing by 30 to get 3:2. Step 3: Since both simplest forms are the same, the images are proportional.
The ratio 3 : 4 is compared with 72 : 96. Which statement is correct?
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72 : 96 simplifies to 3 : 4, The two ratios are proportional
Step 1: Divide 72 and 96 by their HCF, 24. Step 2: 72 ÷ 24 = 3 and 96 ÷ 24 = 4. Step 3: Both ratios become 3:4, so they are proportional.
In the lemonade problem, which statements are correct about the proportional change from 6 glasses to 18 glasses?
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The factor of change is 3, The sugar needed becomes 30 spoons
Step 1: 18 ÷ 6 = 3, so the factor of change is 3. Step 2: Multiply 10 spoons by 3 to get 30 spoons. The correct statements are the factor 3 and 30 spoons.
Which statements are correct for the proportion 6 : 10 :: 18 : 30?
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Cross multiplication gives 6 × 30 = 10 × 18, The two ratios are proportional
Step 1: 6 × 30 = 180 and 10 × 18 = 180. Step 2: Since the cross products are equal, the ratios are proportional. Step 3: The unknown term is 30, not 20.
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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
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