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Proportional Reasoning Practice

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Proportional Reasoning Practice

Work carefully and show your calculations. Money amounts are in New Zealand dollars.

Converting and Comparing

1.Write 5/8 as a decimal and as a percentage.

2.Which is greatest: 0.68, 3/4, 72%, or 7/10? Select one.

0.68
3/4
72%
7/10

3.Complete the equivalent ratio: 4 : 9 = 28 : .

4.Find the missing number: 15 : 25 = : 10.

5.At a farmers’ market, 2/5 of the 120 apples are green. Of the apples that are not green, 25% are bruised. How many apples that are not green are not bruised?

Market and Everyday Problems

6.At the farmers’ market, Tui compares two packs of pears. Pack A has 4 pears for $5.60. Pack B has 6 pears for $8.10. Which pack has the lower cost per pear, and what is that cost?

7.A market stall’s $80 sign is reduced by 20%, then the reduced price is discounted by a further 5%. Find the final price and the percentage of the original price paid.

8.Charlotte buys 1.8 kg of kūmara at $3.50 per kilogram. She uses a 10% discount voucher and pays with $10. How much change does she receive?

9.A fruit punch recipe for 5 people uses 350 ml of juice and 200 ml of water. Mere is preparing it for 15 people. How much juice and water does she need?

Multi-Step Reasoning

10.At a local survey, 180 people were asked about fruit. Two-thirds chose apples. Of the people who did not choose apples, 40% chose pears. How many chose neither apples nor pears?

11.A delivery van travels 180 km in 3 hours at a steady speed. It continues at that speed for 2 hours, then travels 25% farther in the next hour than it would at its usual rate. What is its total distance?

12.A community event has a budget of $36,000. It uses 30% for equipment, then spends 1/4 of the remaining money on food. How much remains for other costs?

13.Convert 0.72, 5/8, 68%, and 3/4 to percentages. Which value is largest?