Mathematics for IGCSE & O level - Ratio And Proportion (Section 4)
1
A recipe for cookies uses flour and sugar in the ratio 5:2. If you use 100 grams of flour, how much sugar do you need?
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(B)
40 g
2
If 2 kg of apples cost $5.00, what is the cost of 7 kg of apples?
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(D)
$20.00
3
If the ratio of men to women is 4:7. Which of the following is/are true?
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A
C
D
4
A recipe calls for orange juice and grapefruit juice in the ratio 2:3. If you want to make 1 litre of the drink, how much orange juice do you need, in millilitres?
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(B)
400 ml
5
A recipe uses butter, sugar and flour in the ratio 4:3:6. If 120g of butter is used, then:
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A
B
6
A map has a scale of 1:25000. If the distance between two points on the map is 8 cm, what is the actual distance in kilometers?
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(B)
2 km
7
Which statement(s) is/are true about inverse proportion?
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A
B
8
A model car is 10cm long, while the actual car is 4m long. What is the scale?
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(C)
1:400
9
What is the simplified ratio of 1.2 : 0.8?
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(A)
3:2
10
What is the simplified ratio of 1 hour 30 minutes to 45 minutes?
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(D)
3:2
11
Which of the following are true if the ratio of x:y is 4:7?
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A
B
D
12
If 5 pens cost $7.50, how much will 8 pens cost?
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(B)
$12.00
13
A model car has a length and a width in a ratio of 5:2. The actual width of the car is 1.6 meters. What is the actual length of the car?
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(D)
5 m
14
A shop sells two sizes of coffee: small and large. The ratio of the amount of coffee in the small cup to the amount of coffee in the large cup is 2:5. The small cup holds 100ml. How much coffee does the large cup hold?
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(B)
250 ml
15
A model airplane is 25cm long and the real airplane is 10m long. What is the scale?
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(B)
1:40
16
A mixture is made using sand and cement in the ratio 2:5. If 10kg of sand is used, how much cement is used?
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(C)
25 kg
17
What is the ratio of 500 ml to 2 litres?
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(C)
1:4
18
Which relationships exemplify inverse proportion?
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A
C
19
A train travels at a speed of 120 km/h. How far will it travel in 2 hours and 30 minutes?
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(C)
300 km
20
Given that x/y = 2/3, which of the following statements are true?
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B
C
D
21
What is the ratio 27:9 simplified?
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(B)
3:1
22
A machine can produce 60 items in 4 minutes. Which of these statements is (are) true?
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A
C
D
23
If a car travels 200 miles in 4 hours, how many miles will it travel in 6 hours at the same speed?
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(C)
350 miles
24
On a map, 1 cm represents 500 m. What distance on the map represents 2 km?
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(B)
4 cm
25
If the ratio of apples to oranges is 5:7, what statement(s) is/are true?
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B
C
D
26
If the scale on a blueprint is 1:50, what does a 10mm line on the blueprint represent in real life?
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(A)
0.5 m
27
What is 40 minutes to 2 hours as a simplified ratio?
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(B)
1:3
28
Two photos are in the ratio 2:3. The height of the larger photo is 9 cm. What is the height of the smaller photo?
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(C)
6 cm
29
A machine produces 120 parts in 8 hours. How many parts can it produce in 5 hours?
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(B)
75
30
In a school, the ratio of students to teachers is 20:1. If there are 500 students, how many teachers are there?
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(C)
25
31
Which of these is (are) a correct statement about inverse proportion?
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B
C
32
The ratio of the sides of a rectangle is 2:3. If the perimeter is 40 cm, what is the length of the shorter side?
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(B)
8 cm
33
If a recipe uses 3 eggs for every 4 cups of flour, how many eggs are needed for 12 cups of flour?
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(B)
9
34
The sides of a rectangle are in the ratio 3:2. If the area of the rectangle is 54 cm², what is the shorter side’s length?
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(B)
6 cm
35
What is 3:4 expressed as a percentage?
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(D)
75%
36
Which scenario(s) represent direct proportion?
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A
B
D
37
Divide $72 in the ratio 5:7. What is the larger share?
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(C)
$42
38
A recipe calls for 2 cups of water and 3 cups of flour. What is the ratio of water to flour?
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(A)
2:3
39
The ratio of the area of a circle to the area of a square inscribed in that circle is approximately:
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(C)
3:4
40
A train travels at a constant speed. If it travels 300 km in 2.5 hours, how far will it travel in 3.5 hours?
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(B)
420 km
41
Which of the following represents inverse proportion?
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(B)
The number of workers and the time to complete a project.
42
If $45 is divided between two people in the ratio 4:5, how much does the second person receive?
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(D)
$25
43
On a map, a line is 3cm long. The scale is 1:100000. which statements are true?
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A
B
44
A cake recipe calls for butter and sugar in the ratio 4:1. If you use 100g of butter, how much sugar should you use?
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(B)
25 g
45
The ratio of boys to girls in a class is 3:4. If there are 28 students in the class, how many girls are there?
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(B)
16
46
If the ratio of two numbers is 5:2, which statements are true?
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A
B
D
47
Which of the following ratios is equivalent to 1:3?
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A
B
D
48
A recipe for lemonade requires lemon juice and water in the ratio 1:5. If 50 ml of lemon juice is used, how much water is needed?
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(C)
250 ml
49
If the ratio of x:y is 5:3, which statements are true?
