Ratio and proportion vocabulary · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.

Ratio and proportion: comparing parts

Mathematics · Ratio & Proportion · ages 9-11
Name ______________________   Date ____________

  1. How many percent is 3/4?

    Answer: ______________

  2. Paint mixes 2 parts red to 3 parts white. What proportion of the mix is red?

    • 2 out of 5
    • 2 out of 3
    • 3 out of 5
    • 5 out of 2

  3. Write 35% as a fraction.

    • 35/100
    • 35/10
    • 3/5
    • 35/1000

  4. What does 'per cent' mean?

    • Out of 10
    • Out of 100
    • Out of 1000

  5. Squash uses 1 part cordial to 4 parts water. What fraction of the drink is cordial?

    • 1/5
    • 1/4
    • 4/5
    • 1/3

  6. A scale factor of 2 doubles every length of a shape. True or false?

    Circle one:   True   False

  7. A photo 6 cm wide is enlarged by scale factor 3. How wide is it now?

    • 18 cm
    • 9 cm
    • 12 cm
    • 2 cm

  8. A photo is enlarged with a scale factor of 2. The photo was 5 cm wide. How wide is it now?

    • 7 cm
    • 10 cm
    • 2 cm

  9. A basket has 6 apples and 4 pears. What is the ratio of apples to pears, and what proportion of the basket is apples?

    • Ratio 6:10, proportion 4 out of 6
    • Ratio 4:6, proportion 6 out of 4
    • Ratio 6:4, proportion 6 out of 10

  10. Ben says, 'The model car has a scale factor of 1:10, so it's 10 times bigger than the real car.' What is his mistake?

    • A scale factor of 1:10 means the model is 10 times smaller, not bigger
    • He should have said the model is 100 times smaller
    • There is no mistake
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Answer key

For grown-ups. Fold this page away before handing over the rest.

Ratio and proportion: comparing parts W1-mt_ESgc4YBw-a-s1

  1. 75 · 3/4 = 0.75 = 75%.
  2. 2 out of 5 · 2 red + 3 white = 5 total, so red is 2 out of 5.
  3. 35/100 · Per cent means out of 100: 35%.
  4. Out of 100 · Per cent means out of 100. So 50% is 50 out of 100.
  5. 1/5 · 1 part cordial in 1 + 4 = 5 total parts: 1/5.
  6. True · Scale factor 2 multiplies every length by 2.
  7. 18 cm · Scale factor 3 triples the width: 6 x 3 = 18 cm.
  8. 10 cm · A scale factor of 2 doubles every length: 5 cm becomes 10 cm.
  9. Ratio 6:4, proportion 6 out of 10 · Ratio compares part to part, so apples to pears is 6:4. Proportion compares part to whole, so apples make up 6 out of the 10 total pieces of fruit.
  10. A scale factor of 1:10 means the model is 10 times smaller, not bigger · A scale factor of 1:10 means the model's lengths are one tenth of the real car's, so the model is smaller, not bigger.
Worksheet · LightMySky