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🧾 CBSE · Class 8

Class 8 Maths: Proportional Reasoning 2 Worksheet (with Answers)

A free, print-ready worksheet on Proportional Reasoning 2 for CBSE Class 8 Maths, with a matching answer key. Use the sample below, or build your own with the exact mix of questions you need — no login, no ads.

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Sample worksheet

7 of 17 questions from this chapter. Generate your own for the full set, more variations, and a clean print layout.

  1. 1. In inverse proportion, the ___ of the quantities stays constant.
    • (a) sum
    • (b) ratio
    • (c) product
    • (d) difference
  2. 2. Which pair is in inverse proportion?
    • (a) speed and time for a fixed distance
    • (b) cost and quantity of rice
    • (c) distance and time at fixed speed
    • (d) side and perimeter of a square
  3. 3. If 8 taps fill a tank in 9 hours, 12 taps take:
    • (a) 7 hours
    • (b) 4 hours
    • (c) 8 hours
    • (d) 6 hours
  4. 4. As one quantity increases in inverse proportion, the other:
    • (a) increases
    • (b) decreases
    • (c) stays equal
    • (d) doubles
  5. 5. What is inverse proportion?
  6. 6. How is inverse proportion different from direct proportion?
  7. 7. Explain inverse proportion using workers and days, and give the rule.
View answers
  1. 1. (c) product — x x y is constant in inverse proportion.
  2. 2. (a) speed and time for a fixed distance — Higher speed means less time for the same distance.
  3. 3. (d) 6 hours — 8 x 9 = 12 x T gives T = 72/12 = 6 hours.
  4. 4. (b) decreases — One rises while the other falls, keeping the product constant.
  5. 5. A relation in which one quantity increases as the other decreases, keeping their product constant.
  6. 6. In direct proportion the ratio is constant; in inverse proportion the product is constant.
  7. 7. Two quantities are in inverse proportion when increasing one decreases the other so that their product stays constant: x1 x y1 = x2 x y2. For a fixed job, more workers finish it in fewer days. If 10 workers take 6 days (product 60), then 15 workers take 60 / 15 = 4 days, since the total work (person-days) is unchanged. The product, not the ratio, stays the same.
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FAQ

Is this Class 8 Maths worksheet on Proportional Reasoning 2 free?
Yes — it is completely free, with no login and no ads. You can print it or save it as a PDF, and generate unlimited variations.
Does the Proportional Reasoning 2 worksheet come with answers?
Yes. Every worksheet has a separate answer key with the correct answers, short explanations and marks, so it is ready for marking.
Can I choose how many questions and which types?
Yes. Open the generator for this chapter and set how many MCQs, short, long and HOTS questions you want; totals and marks update live, and you can swap any single question.
Which board and class is this for?
This worksheet is aligned to CBSE Class 8 Maths, chapter “Proportional Reasoning 2”.