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Mastering Ratios Worksheet

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Mastering Ratios Worksheet worksheet preview

Mastering Ratios Worksheet

Ratio concepts illustration

📚 Part 1: Understanding and Simplifying Ratios

1. Which of the following shows the ratio 12:8 in its simplest form?

6:4

3:2

24:16

4:3

2. Simplify these ratios to their lowest terms:

a) 15:25 = ______ : ______

b) 18:12:6 = ______ : ______ : ______

c) 35:14 = ______ : ______

3. Which ratios are equivalent to 4:6? (Select all that apply)

2:3

8:12

12:18

6:4

4. Complete these equivalent ratios:

a) 5:3 = 20:______

b) 7:2 = ______:14

c) 3:8 = 15:______

🧮 Part 2: Ratio Problem Solving

5. In a class of 28 students, the ratio of boys to girls is 3:4. How many boys and girls are there?

Boys: ______ Girls: ______

6. Sarah mixes paint in the ratio blue:yellow = 2:5. If she uses 14 litres of blue paint, how much yellow paint does she need?

Yellow paint needed: ______ litres

7. The ratio of length to width of a rectangle is 5:3. If the width is 12 centimetres, what is the length?

Length: ______ centimetres

🌟 Part 3: Real-Life Applications

8. A recipe for anzac biscuits calls for oats and flour in the ratio 3:2. If you have 450 grams of oats, how much flour do you need?

Flour needed: ______ grams

9. At a school sports day, the ratio of participants to spectators is 1:8. If there are 720 spectators, how many participants are there?

Participants: ______

10. A car travels 240 kilometres using 20 litres of petrol. Express this as a ratio of kilometres to litres in simplest form, then explain what this ratio tells you about the car's fuel efficiency.

Ratio: ______ : ______

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