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Real-World Proportions Worksheet

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Real-World Proportions Worksheet

Solve each problem. Show your working where asked, and include units in your answers.

Proportions and Rates

1.A biscuit recipe uses 3 cups of rolled oats to make 30 biscuits. How many cups of oats are needed for 45 biscuits? Write a proportion and solve.

2.On a walking map, 4 cm represents 10 km. The distance between two huts measures 9.2 cm. What is the actual distance? Set up a proportion and solve.

3.A student earns $147 for 7 hours of casual work. At the same hourly rate, how much will the student earn for 11 hours?

4.A van uses 42 litres of fuel to travel 360 km. Assuming the same fuel-use rate, how many litres will it use to travel 510 km?

Unit Rates and Best Value

5.A 2.5 kg bag of kūmara costs $6.75. What is the cost per kilogram, rounded to the nearest cent?

$2.50 per kg
$2.60 per kg
$2.70 per kg
$3.00 per kg

6.Compare these muesli bar deals: 8 bars for $9.60 or 5 bars for $6.25. Calculate the price per bar for each deal and state which is better value.

7.A 600 g bag of coffee beans costs $15.60. What would 850 g cost at the same price per gram?

Ratios in Context

8.For a school outdoor activity, the required ratio of supervisors to students is 1:14. If 196 students take part, what is the minimum number of supervisors required?

9.A green paint mix uses blue and yellow paint in the ratio 4:3. If a batch contains 20 litres of blue paint, how many litres of yellow paint are needed?

10.A length of 9 metres of stage fabric costs $58.50. Find the cost of 14 metres, then describe the method you used.