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Real-World Proportions Worksheet

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Real-World Proportions Worksheet worksheet preview

Real-World Proportions Worksheet

Recipe and scale illustrations

📊 Part 1: Setting Up Proportions

1. A recipe for ANZAC biscuits calls for 2 cups of oats to make 24 biscuits. How many cups of oats are needed to make 36 biscuits?

Set up the proportion: _______ : _______ = _______ : _______

Answer: _______ cups of oats

2. On a map of Auckland, 3 centimetres represents 15 kilometres. If two locations are 7 centimetres apart on the map, what is the actual distance?

Set up the proportion: _______ cm : _______ km = _______ cm : _______ km

Answer: _______ kilometres

3. Sarah earns $120 for working 8 hours. At the same rate, how much will she earn for working 14 hours?

Answer: $ _______

4. A car travels 280 kilometres on 35 litres of petrol. How many litres are needed to travel 400 kilometres?

Answer: _______ litres

🛒 Part 2: Unit Rates and Best Value

5. At Countdown, apples cost $4.50 for 3 kg. What is the unit rate per kilogram?

$1.25 per kg

$1.50 per kg

$1.75 per kg

$2.00 per kg

6. Which offers the best value for money? Show your working.

Option A: 6 chocolate bars for $7.20

Option B: 4 chocolate bars for $5.00

Better value: Option _______ because _________________________

7. A 500g jar of honey costs $8.50. At the same rate, how much would a 750g jar cost?

Answer: $ _______

🌍 Part 3: Real-World Applications

8. The ratio of teachers to students at a school camp must be 1:12. If 156 students are attending, how many teachers are needed?

Answer: _______ teachers

9. A paint mixture uses blue and yellow paint in the ratio 3:2. If you have 15 litres of blue paint, how much yellow paint do you need?

Answer: _______ litres of yellow paint

10. Explain in your own words how you would solve this problem: "If 8 metres of fabric costs $36, how much would 12 metres cost?"

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