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Grade 6 Math — Ratio and proportion

Write and simplify ratios, and use them to share amounts and scale recipes.

Name: ________________________

  1. 1.Share 40 sweets between two children in the ratio 3:5. How many does the second child get?

  2. 2.Share 40 sweets between two children in the ratio 3:5. How many does the first child get?

  3. 3.These ratios are all written as first:second. Put them in order, smallest first.

    • 3:4
    • 5:4
    • 1:2
    • 2:3
    • 1:4

  4. 4.A recipe uses 2 cups of rice to 5 cups of water. How many cups of water are needed for 6 cups of rice?

  5. 5.Which ratio is equivalent to 3:4?

    • a) 6:8
    • b) 7:8
    • c) 4:3
    • d) 9:16

  6. 6.If 3 pens cost $45, what do 7 pens cost? Give just the number.

  7. 7.Match each ratio to its simplest form.

    • 8:12
    • 10:4
    • 9:27
    • 16:20
    • 18:24
    • 2:3
    • 4:5
    • 3:4
    • 5:2
    • 1:3

  8. 8.Simplify the ratio 10:15. Write it like 4:5.

Answer key — Grade 6 Math — Ratio and proportion

  1. 1. 25
  2. 2. 15
  3. 3. 1. 1:4 2. 1:2 3. 2:3 4. 3:4 5. 5:4
  4. 4. 15
  5. 5. a) 6:8
  6. 6. 105
  7. 7. 8:12 → 2:3; 10:4 → 5:2; 9:27 → 1:3; 16:20 → 4:5; 18:24 → 3:4
  8. 8. 2:3