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Proportion and Ratios Worksheet

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Proportion and Ratios Worksheet

Show your working for questions that involve calculations. Use NZ dollars where needed.

Ratios and equivalent ratios

A ratio compares quantities. Equivalent ratios are made by multiplying or dividing every part by the same number.

1.Which option is equivalent to 5:8?
  • 10:16
  • 15:20
  • 20:35
  • 25:48
2.Complete the equivalent ratio: 4:7 = 20: .
3.Write 21:35 in simplest form.
4.At a vet clinic, there are 8 cats and 12 dogs waiting. Write the ratio of cats to dogs in simplest form.
5.Match each ratio on the left with an equivalent ratio on the right. Use each choice once.
  • 2:5
  • 3:4
  • 4:7
  • 5:6
  • 20:35
  • 12:30
  • 25:30
  • 15:20

Proportional reasoning

Use equivalent ratios, unit rates, scale, and percentages to solve each problem.

6.A vet clinic prepares animal food using a ratio of 3 scoops of dry food to 2 scoops of wet food. Complete the table for equivalent mixes.

Dry food (scoops)

3

6

9

Wet food (scoops)

2

_____

_____

7.Zoe buys 5 rolls of bandage for $15. At the same price per roll, how much would 8 rolls cost?
8.A vet uses 180 mL of a cleaning solution to prepare 6 identical work areas. How many millilitres are needed for 14 work areas at the same rate?
9.A scale states that 1 cm represents 4 km. If the distance between two clinics is 9 cm on this scale, what is the real distance?
10.A toy animal is built to a scale of 1:25. Its real-life length is 2.5 metres. How long is the model in centimetres?
11.At a clinic, 35% of 40 appointment slots are for check-ups. How many check-up slots are there?
12.Ruben, Zoe, and Tui share $108 in the ratio 2:3:4. How much does each person receive?
13.Explain why 4:6 and 10:15 are equivalent. Include one calculation in your explanation.

3 printable pages

  • Proportion and Ratios Worksheet, page 1 of 3: Ratios and equivalent ratios

    Page 1

  • Proportion and Ratios Worksheet, page 2 of 3: Proportional reasoning

    Page 2

  • Proportion and Ratios Worksheet, page 3 of 3: 11. At a clinic, 35% of 40 appointment slots are for check-ups. How many check-up slots…

    Page 3

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