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Year 9 Mathematics: Ratios
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Year 9 Mathematics: Ratios
Solve each orchard challenge. Show working for calculation questions and include units where they make sense.
Blend and scale
Zach is preparing fruit drinks from the orchard harvest.
1.A drink mix uses apple juice and orange juice in the ratio 3:2. Zach makes 25 L of mix. How many litres of each juice does he need?
2.Evie uses 4 baskets of pears for every 7 baskets of apples. If she picks 28 baskets of apples, how many baskets of pears are needed to keep the same ratio?
- 12 baskets
- 16 baskets
- 21 baskets
- 49 baskets
3.The orchard’s small and large fruit boxes are packed in the ratio 5:8. There are 65 small boxes. How many large boxes are there?
Ratios in the packing shed
Use equivalent ratios and proportional reasoning to help the team prepare orders.
4.Cooper packs 6 crates in 18 minutes at a steady rate. How many crates can he pack in 45 minutes?
5.A crate contains apples and pears in the ratio 7:5. Which ratio is equivalent?
- 14:10
- 21:20
- 35:20
- 42:25
6.The ratio of bruised fruit to all fruit in a batch is 3:40. If the batch has 520 pieces of fruit, how many are bruised?
7.A sauce recipe mixes apple purée and vinegar in the ratio 9:4. Evie has 360 mL of purée. How much vinegar should she add, and what is the total volume of sauce?
Think it through
Check what the ratio compares before deciding how to calculate.
8.The number of red apples to green apples is 2:3. There are 45 apples altogether. How many are red and how many are green?
9.Select True or False: A worker says that the ratio 12:18 simplifies to 2:3. Explain how you know.
10.The orchard uses 2 kg of fruit to make 5 jars of chutney. At the same rate, how many kilograms of fruit are needed for 18 jars? Show how you reasoned.
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