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Class 8 Maths: Proportional Reasoning 1 Worksheet (with Answers)

A free, print-ready worksheet on Proportional Reasoning 1 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. The ratio 10 : 15 in simplest form is:
    • (a) 5 : 3
    • (b) 10 : 15
    • (c) 3 : 2
    • (d) 2 : 3
  2. 2. Four numbers are in proportion when:
    • (a) a + d = b + c
    • (b) a ÷ d = b ÷ c
    • (c) a − d = b − c
    • (d) a × d = b × c
  3. 3. If 4 pens cost ₹48, one pen costs:
    • (a) ₹8
    • (b) ₹16
    • (c) ₹12
    • (d) ₹6
  4. 4. In direct proportion, as one quantity increases the other:
    • (a) decreases
    • (b) becomes zero
    • (c) stays fixed
    • (d) increases
  5. 5. Write 25 : 35 in simplest form.
  6. 6. How do you check if four numbers are in proportion?
  7. 7. Explain the unitary method using the cost of notebooks, with a worked example.
View answers
  1. 1. (d) 2 : 3 — Divide both by 5 to get 2 : 3.
  2. 2. (d) a × d = b × c — Cross products are equal: a×d = b×c.
  3. 3. (c) ₹12 — 48 ÷ 4 = ₹12.
  4. 4. (d) increases — Directly proportional quantities increase together.
  5. 5. Divide both by 5: 5 : 7.
  6. 6. See whether the cross products are equal: a×d = b×c.
  7. 7. The unitary method first finds the value of a single unit, then scales up. For example, if 6 notebooks cost ₹90, one notebook costs ₹90 ÷ 6 = ₹15. To find the cost of 10 notebooks, multiply: ₹15 × 10 = ₹150. By going through the value of one unit, we can find the cost of any number of notebooks reliably.
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FAQ

Is this Class 8 Maths worksheet on Proportional Reasoning 1 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 1 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 1”.