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Year 10 Ratios Worksheet

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Year 10 Ratios Worksheet

Show your working for calculation questions. Write ratios in their simplest form where appropriate.

Understanding and simplifying ratios

1.What does the ratio 4:7 tell you about two quantities?

2.Which statement describes the ratio 2:5?

2 added to 5
2 parts of one quantity for every 5 parts of another
2 parts out of a total of 7 parts
5 parts of one quantity for every 2 parts of another

3.Simplify the ratio 21:35.

4.Simplify the ratio 28:42:56.

5.Write two different ratios equivalent to 6:11.

6.A strip is divided into 5 equal parts. Two parts are shaded. What is the ratio of shaded parts to unshaded parts?

7.Match each ratio to an equivalent ratio.

3:8
4:9
5:6
7:10

20:45
15:40
25:30
35:50

Ratio problem solving

8.A drink is mixed using concentrate and water in the ratio 2:7. If 180 mL of concentrate is used, how much water is needed?

9.A sports club has adults and teenagers in the ratio 3:5. There are 320 members altogether. How many adults and how many teenagers are there?

10.Levi and Hugo divide $336 in the ratio 5:7. How much does each person receive?

11.A batch of trail mix contains almonds, raisins and seeds in the ratio 4:3:2. How many grams of each ingredient are needed to make 630 g of trail mix?