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Class 8 Proportional Reasoning-1 worksheet

CBSE Mathematics. Ratios, sharing in a ratio, proportion, unitary method. Every sheet has 20 questions in three sections and an answer key, and the numbers change every time.

Open a printable sample sheetCheat sheet: formulas and key points

Sample questions

Real questions from this chapter, as the app sets them. Tap Answer to see the answer and working.

Section A · multiple choice

  1. 1.

    21 : 9 in its simplest form is:

    1. 7 : 3
    2. 8 : 4
    3. 21 : 3
    4. 3 : 7
    Answer

    (a) 7 : 3

    divide both by 3

  2. 2.

    Which ratio is equivalent to 5 : 2?

    1. 30 : 2
    2. 11 : 8
    3. 12 : 30
    4. 30 : 12
    Answer

    (d) 30 : 12

    multiply both by 6

  3. 3.

    A ratio between two quantities of the same kind has:

    1. the unit of the second quantity
    2. the unit cm
    3. the unit of the first quantity
    4. no unit
    Answer

    (d) no unit

Section B · short answer

  1. 4.

    Find the ratio of 75 paise to Rs 9.

    Answer

    1 : 12

    Rs 9 = 900 paise; 75 : 900

  2. 5.

    Divide Rs 288 between Meena and Sonu in the ratio 1 : 5.

    Answer

    Meena Rs 48, Sonu Rs 240

    6 parts = 288; 1 part = 48

Section C · long answer

  1. 6.

    In a school choir the ratio of girls to boys is 4 : 3. There are 42 members in all. How many are girls and how many are boys?

    Answer

    24 girls, 18 boys

    7 parts = 42; 1 part = 6

Fresh sheets for your child

In the app, every Proportional Reasoning-1 sheet is new: the app remembers the questions your child has already had and leaves them out. Print the sheet as a PDF, or use notebook mode and write the answers in a notebook.

Coming soon for Android and iPhone.

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