Ratio Proportion and Rates of Change Practice Questions
GCSE · GCSE Mathematics · 148 free MCQs with instant results and detailed explanations.
148
Total
53
Easy
73
Medium
22
Hard
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Sample Questions from Ratio Proportion and Rates of Change
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Q1
Easy
A recipe requires 2 cups of flour for every 3 cups of sugar. What is the ratio of flour to sugar?
A.
2:3
B.
3:2
C.
1:1.5
D.
3:1
Show Answer & Explanation
Correct Answer: A
The recipe states that for every 2 cups of flour, there are 3 cups of sugar, making the ratio of flour to sugar 2:3.
Q2
Easy
A car travels 150 kilometers in 2 hours. What is the car’s speed in kilometers per hour?
A.
75 km/h
B.
150 km/h
C.
300 km/h
D.
60 km/h
Show Answer & Explanation
Correct Answer: A
To find speed, divide the distance by the time. Thus, 150 km ÷ 2 hours = 75 km/h.
Q3
Easy
A child has a collection of toy cars and toy trucks in the ratio of 4:3. If there are 28 toy cars, how many toy trucks does the child have?
A.
21
B.
14
C.
7
D.
24
Show Answer & Explanation
Correct Answer: A
If the ratio of toy cars to toy trucks is 4:3 and there are 28 toy cars, then for every 4 toy cars, there are 3 toy trucks. The number of toy trucks can be calculated as (28/4) * 3 = 21.
Q4
Medium
A recipe calls for 2 cups of flour for every 3 cups of sugar. If you have 8 cups of flour, how many cups of sugar do you need?
A.
12 cups
B.
6 cups
C.
10 cups
D.
9 cups
Show Answer & Explanation
Correct Answer: A
Using the ratio of flour to sugar (2:3), if you have 8 cups of flour, you multiply by 4 (8/2) to maintain the ratio, resulting in 12 cups of sugar (4*3).
Q5
Medium
A map has a scale of 1:25000. If two cities are 10 cm apart on the map, how far apart are they in reality?
A.
2.5 kilometers
B.
25 kilometers
C.
250 kilometers
D.
5 kilometers
Show Answer & Explanation
Correct Answer: B
To find the real distance, multiply the map distance by the scale factor (10 cm * 25000), which converts to kilometers (250000 cm = 25 km).
Q6
Medium
A school has a ratio of boys to girls as 5:4. If there are 180 boys in the school, how many girls are there?
A.
144 girls
B.
160 girls
C.
120 girls
D.
100 girls
Show Answer & Explanation
Correct Answer: A
Using the ratio of boys to girls (5:4), if there are 180 boys, set up the proportion (180 boys / x girls) = (5 boys / 4 girls). Solving gives 144 girls.
Q7
Medium
A car's value depreciates at a rate of 15% per year. If the car is currently worth £20,000, what will its value be after one year?
A.
£17,000
B.
£18,500
C.
£15,000
D.
£16,000
Show Answer & Explanation
Correct Answer: B
To find the value after one year, calculate 15% of £20,000 (which is £3,000) and subtract from the current value: £20,000 - £3,000 = £17,000.
Q8
Hard
A recipe requires 3 parts flour to 2 parts sugar. If a baker uses 12 cups of flour, how many cups of sugar should be used to maintain the ratio?
A.
8
B.
6
C.
9
D.
10
Show Answer & Explanation
Correct Answer: B
To maintain the ratio of 3:2, if 12 cups of flour are used, then the amount of sugar should be (2/3) * 12 = 8 cups. However, since we are looking for the amount of sugar that corresponds to the used flour, we should find the proportional amount. Since 3 parts flour corresponds to 2 parts sugar, for 12 cups of flour, the sugar should be 8 cups, which is not an option. Instead, adjusting to the ratio directly: 12 cups flour means for every 3 parts, we have 8 parts sugar giving us 8/3 * 2 = 6 cups.
Q9
Hard
A recipe requires 3 parts of flour for every 2 parts of sugar. If you want to make a larger batch using 12 parts of flour, how many parts of sugar will you need?
A.
8
B.
6
C.
4
D.
10
Show Answer & Explanation
Correct Answer: A
To determine the amount of sugar needed, we can set up a ratio based on the recipe. The ratio of flour to sugar is 3:2. If we are using 12 parts of flour, we find the equivalent amount of sugar by setting up the equation 12 / 3 = x / 2. Solving for x gives us x = 8. Therefore, 8 parts of sugar are needed.
Q10
Hard
A recipe requires 3 cups of flour for every 2 cups of sugar. If a baker wants to make a batch using 12 cups of sugar, how many cups of flour will they need?
A.
18
B.
12
C.
9
D.
6
Show Answer & Explanation
Correct Answer: A
To maintain the ratio of 3 cups of flour to 2 cups of sugar, we first determine how many times 2 cups fits into 12 cups of sugar. This happens 6 times (12/2 = 6). Therefore, we multiply the amount of flour needed (3 cups) by 6 (3 * 6 = 18 cups of flour).
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Ratio Proportion and Rates of Change — GCSE GCSE Mathematics Practice Questions Online
This page contains 148 practice MCQs for the chapter Ratio Proportion and Rates of Change in GCSE GCSE Mathematics. The questions are organized by difficulty — 53 easy, 73 medium, 22 hard — so you can choose the right level for your preparation.
Every question includes a detailed explanation to help you understand the concept, not just memorize answers. Take a timed quiz to simulate exam conditions, or practice at your own pace with no time limit.