Ratios and Fractions

Name:

Date:

$Ratios and fractions illustration$

📊 Part 1: Converting Ratios to Fractions

1. A recipe uses flour and sugar in the ratio 3:2. What fraction of the mixture is flour?

3/2

3/5

2/3

2/5

2. In a class, the ratio of boys to girls is 4:3. What fraction represents the girls in the class?

3. Paint is mixed using red and blue in the ratio 5:2. Complete the statements:

Red paint makes up _______ of the mixture.

Blue paint makes up _______ of the mixture.

The total number of parts is _______.

4. Which of these ratios are equivalent to 6:4? (Tick all that apply)

3:2

12:8

9:6

15:10

🍳 Part 2: Practical Applications

5. A hāngi recipe serves 8 people and uses kumara and potato in the ratio 2:3. If you need to serve 20 people, how much of each vegetable do you need? Show your working.

6. A rugby team has won 12 games and lost 8 games this season.

a) Write the win:loss ratio in its simplest form: _______

b) What fraction of games did they win? _______

c) What fraction of games did they lose? _______

7. Sarah mixes orange juice concentrate with water in the ratio 1:4.

If she uses 250ml of concentrate, how much water does she need? _______

What is the total volume of orange juice? _______

8. A car travels 420 kilometres and uses 35 litres of petrol.

Write this as a ratio kilometres:litres = _______:_______

How many kilometres per litre does the car travel? _______

🎯 Part 3: Problem Solving

9. In a bag of lollies, there are red, green, and yellow lollies in the ratio 3:2:5. If there are 40 lollies altogether, how many of each colour are there?

10. Explain in your own words how you convert a ratio to fractions. Use an example to help your explanation.

Extension Challenge: A concrete mix uses cement, sand, and gravel in the ratio 1:2:4. If you have 14 cubic metres of materials altogether, and cement costs $120 per cubic metre, what is the total cost of cement needed?