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?
Answer
(B)
40 g
2
If 2 kg of apples cost $5.00, what is the cost of 7 kg of apples?
Answer
(D)
$20.00
3
If the ratio of men to women is 4:7. Which of the following is/are true?
Answer
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?
Answer
(B)
400 ml
5
A recipe uses butter, sugar and flour in the ratio 4:3:6. If 120g of butter is used, then:
Answer
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?
Answer
(B)
2 km
7
Which statement(s) is/are true about inverse proportion?
Answer
A
B
8
A model car is 10cm long, while the actual car is 4m long. What is the scale?
Answer
(C)
1:400
9
What is the simplified ratio of 1.2 : 0.8?
Answer
(A)
3:2
10
What is the simplified ratio of 1 hour 30 minutes to 45 minutes?
Answer
(D)
3:2
11
Which of the following are true if the ratio of x:y is 4:7?
Answer
A
B
D
12
If 5 pens cost $7.50, how much will 8 pens cost?
Answer
(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?
Answer
(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?
Answer
(B)
250 ml
15
A model airplane is 25cm long and the real airplane is 10m long. What is the scale?
Answer
(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?
Answer
(C)
25 kg
17
What is the ratio of 500 ml to 2 litres?
Answer
(C)
1:4
18
Which relationships exemplify inverse proportion?
Answer
A
C
19
A train travels at a speed of 120 km/h. How far will it travel in 2 hours and 30 minutes?
Answer
(C)
300 km
20
Given that x/y = 2/3, which of the following statements are true?
Answer
B
C
D
21
What is the ratio 27:9 simplified?
Answer
(B)
3:1
22
A machine can produce 60 items in 4 minutes. Which of these statements is (are) true?
Answer
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?
Answer
(C)
350 miles
24
On a map, 1 cm represents 500 m. What distance on the map represents 2 km?
Answer
(B)
4 cm
25
If the ratio of apples to oranges is 5:7, what statement(s) is/are true?
Answer
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?
Answer
(A)
0.5 m
27
What is 40 minutes to 2 hours as a simplified ratio?
Answer
(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?
Answer
(C)
6 cm
29
A machine produces 120 parts in 8 hours. How many parts can it produce in 5 hours?
Answer
(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?
Answer
(C)
25
31
Which of these is (are) a correct statement about inverse proportion?
Answer
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?
Answer
(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?
Answer
(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?
Answer
(B)
6 cm
35
What is 3:4 expressed as a percentage?
Answer
(D)
75%
36
Which scenario(s) represent direct proportion?
Answer
A
B
D
37
Divide $72 in the ratio 5:7. What is the larger share?
Answer
(C)
$42
38
A recipe calls for 2 cups of water and 3 cups of flour. What is the ratio of water to flour?
Answer
(A)
2:3
39
The ratio of the area of a circle to the area of a square inscribed in that circle is approximately:
Answer
(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?
Answer
(B)
420 km
41
Which of the following represents inverse proportion?
Answer
(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?
Answer
(D)
$25
43
On a map, a line is 3cm long. The scale is 1:100000. which statements are true?
Answer
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?
Answer
(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?
Answer
(B)
16
46
If the ratio of two numbers is 5:2, which statements are true?
Answer
A
B
D
47
Which of the following ratios is equivalent to 1:3?
Answer
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?
Answer
(C)
250 ml
49
If the ratio of x:y is 5:3, which statements are true?
