Year 8 Ratios and Rates and the Unitary Method

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Alana made some cookie men.
Each cookie man had 2 star lollies and 3 round lollies.
Alana used 48 round lollies altogether.
How many star lollies did Alana use?

1 point

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Jim travels 105 km in 7 identical car trips from home to work How far would she travel in 11 such
car trips?

1 point

1155 km

735 km

165 km

15 km

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The ratio of apples to oranges is 3:5. If there are 18 apples, how many oranges are there?

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The ratio of the areas of two triangles is 5 : 2. The area of the larger triangle is 60 cm² What is the area of the smaller triangle?

1 point

12 cm²

24 cm²

30 cm²

17 cm²

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A chemist needs to make a batch of medicine by mixing a chemical with water in the ratio 3 : 7. If the chemist begins with 600 mL of the chemical, how much water must be added?

1 point

700 mL

4200 mL

1400 mL

1800 mL

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The ratio of Brendan’s savings to expenses is 2 : 9. Calculate Brendan’s savings when his expenses are $135.

1 point

$30

$67.50

$58.20

$15

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The ratio of dogs to cats to birds is 15 : 13 : 2. How many cats are there if there are 180 dogs?

1 point

208

237

143

156

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