Every question in the paper gets a full exam-length answer in the app — organised by marks, the way a topper writes it.
7 marks Long answer
Solve the problem: If 5 apples cost $3, how much do 20 apples cost?
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20 apples cost $12.
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6 marks Long answer
Explain the concept of scaling in ratios with an example.
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Scaling adjusts ratios by multiplying or dividing both parts by the same number.
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5 marks Long answer
A recipe requires 2 cups of flour for every 3 cups of sugar. If you have 8 cups of sugar, how much flour do you need?
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You need 5.33 cups of flour.
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5 marks Long answer
If the ratio of boys to girls in a class is 2:3 and there are 20 girls, how many boys are there?
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There are 13 boys.
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4 marks Medium answer
Differentiate between direct and inverse variation.
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Direct variation increases together, while inverse variation one increases as the other decreases.
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3 marks Medium answer
Explain how to solve a proportion using cross multiplication.
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Cross multiply the extremes and means to find the unknown.
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3 marks Medium answer
If 3/4 = x/16, find the value of x.
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x = 12.
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2 marks Short answer
State the properties of equivalent ratios.
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Equivalent ratios maintain the same relationship between quantities.
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1 marks Short answer
Define ratio.
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A ratio is a comparison of two quantities expressed as a fraction.
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1 marks Short answer
Define proportion.
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A proportion states that two ratios are equal.
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