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Ratios and Proportions Practice

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Ratios and Proportions Practice

Show your working for calculation questions. Use New Zealand dollars where needed.

Ratio and Proportion Problems

1.At a bike repair shop, Hana mixes chain cleaner and water in the ratio 2:5. If she uses 180 mL of chain cleaner, how much water does she need?

2.On a workshop plan, 1 cm represents 40 cm in real life. A repair bench measures 6 cm on the plan. What is its actual length in metres?

3.A bike parts drawer contains bolts and washers in the ratio 4:9. There are 28 bolts. How many bolts and washers are there altogether?

4.A bike travels 54 km using 3 L of fuel. At the same rate, how far can it travel using 8 L?

Choose the Best Answer

5.Which ratio is equivalent to 6:14?

3:7
4:9
7:3
12:21

6.At a bike repair shop, 4 inner tubes cost $18. How much would 10 inner tubes cost at the same price per tube?

$40.00
$42.50
$45.00
$48.00

7.A bike logo is 8 cm wide and 5 cm tall. It is enlarged proportionally until it is 12 cm wide. What will its height be?

7 cm
7.5 cm
8 cm
9 cm

Problem Solving

8.A bike repair workshop has 360 replacement parts. The ratio of brake pads to chains to pedals is 5:3:4. How many of each part are there?

9.Mei prepares lubricant by combining oil, solvent and additive in the ratio 4:6:2. If she uses 210 mL of solvent, what is the total volume of the mixture?

10.Kahu adjusts a bike seat so that the distance it rises is proportional to the number of full turns of the adjustment knob. In your own words, explain what it means for two quantities to be proportional. Give a numerical example.

11.A workshop orders brake cables and gear cables in the ratio 7:5. If the order contains 84 brake cables, how many gear cables are included?

12.A scale drawing shows a bike frame tube as 9 cm long. The actual tube is 72 cm long. Using the same scale, how long should a 56 cm tube be in the drawing?