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Equivalent ratios

Fill in a missing ratio value using the same multiplier for both parts.

Practice + answer key · 2 pages

Worksheet settings12 questions · 2 columns · A4
Original ratio terms

Scaled terms can be up to six times the values in this range.

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Equivalent ratiosEquivalent ratios. Practice. Complete 10:10 = 60:__. Complete 4:1 = 12:__. Complete 7:3 = 14:__. Complete 4:9 = 12:__. Complete 11:1 = 44:__. Complete 9:4 = 27:__. Complete 1:12 = 5:__. Complete 2:11 = 8:__. Complete 6:10 = 18:__. Complete 5:4 = 25:__. Complete 2:7 = 6:__. Complete 7:6 = 28:__.Name __________________________Date _______________Equivalent ratiosFill in the missing ratio term.Worked exampleComplete 3:5 = 12:__. → 2012 ÷ 3 = 4.1.Complete 10:10 = 60:__.2.Complete 4:1 = 12:__.3.Complete 7:3 = 14:__.4.Complete 4:9 = 12:__.5.Complete 11:1 = 44:__.6.Complete 9:4 = 27:__.7.Complete 1:12 = 5:__.8.Complete 2:11 = 8:__.9.Complete 6:10 = 18:__.10.Complete 5:4 = 25:__.11.Complete 2:7 = 6:__.12.Complete 7:6 = 28:__.MathSprig · mathsprig.site · support@mathsprig.sitePage 1 of 1mathsprig-1 · mathsprig-v1 · c3d8c5c7
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Practice + answer key · 2 pages

Ratios & percentages

What you’ll practice

Complete a ratio without changing the comparison it represents.

Find the multiplier connecting the first terms, then apply it to the second term. Multiplying both parts by the same amount keeps the ratio equivalent.

How this skill works

Compare the first term in each ratio to find the scale factor.

Multiply the second term by that same factor. A ratio is not kept equivalent by adding the same number to both terms.

Worked example

Complete 3:5 = 12:__.
  1. 12 ÷ 3 = 4.
  2. Multiply the second term by 4: 5 × 4 = 20.
  3. 3:5 = 12:20.

Answer: 20

Teaching notes

  • Check both corresponding terms use the same multiplier.
Practice questions
  1. Complete 10:10 = 60:__.
  2. Complete 4:1 = 12:__.
  3. Complete 7:3 = 14:__.
  4. Complete 4:9 = 12:__.
  5. Complete 11:1 = 44:__.
  6. Complete 9:4 = 27:__.
  7. Complete 1:12 = 5:__.
  8. Complete 2:11 = 8:__.
  9. Complete 6:10 = 18:__.
  10. Complete 5:4 = 25:__.
  11. Complete 2:7 = 6:__.
  12. Complete 7:6 = 28:__.
Answers and steps
  1. 60
    1. 60 ÷ 10 = 6.
    2. Multiply the second term by the same factor: 10 × 6 = 60.
  2. 3
    1. 12 ÷ 4 = 3.
    2. Multiply the second term by the same factor: 1 × 3 = 3.
  3. 6
    1. 14 ÷ 7 = 2.
    2. Multiply the second term by the same factor: 3 × 2 = 6.
  4. 27
    1. 12 ÷ 4 = 3.
    2. Multiply the second term by the same factor: 9 × 3 = 27.
  5. 4
    1. 44 ÷ 11 = 4.
    2. Multiply the second term by the same factor: 1 × 4 = 4.
  6. 12
    1. 27 ÷ 9 = 3.
    2. Multiply the second term by the same factor: 4 × 3 = 12.
  7. 60
    1. 5 ÷ 1 = 5.
    2. Multiply the second term by the same factor: 12 × 5 = 60.
  8. 44
    1. 8 ÷ 2 = 4.
    2. Multiply the second term by the same factor: 11 × 4 = 44.
  9. 30
    1. 18 ÷ 6 = 3.
    2. Multiply the second term by the same factor: 10 × 3 = 30.
  10. 20
    1. 25 ÷ 5 = 5.
    2. Multiply the second term by the same factor: 4 × 5 = 20.
  11. 21
    1. 6 ÷ 2 = 3.
    2. Multiply the second term by the same factor: 7 × 3 = 21.
  12. 24
    1. 28 ÷ 7 = 4.
    2. Multiply the second term by the same factor: 6 × 4 = 24.