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Mathematics for IGCSE & O level - Ratio And Proportion (Section 6)

1
A model has a scale of 1:50. The height of the model is 10cm. What is the actual height?
Answer
(B)
0.5 m
2
A train travels 240 km at a constant speed in 3 hours. How long will it take to travel 320 km?
Answer
(C)
4 hours
3
If the cost of 5 oranges is $3, which statements are correct?
Answer
A
B
4
In a mixture of paint, the ratio of red to blue to yellow is 4:3:2. If you use 8 ml of red paint, how much yellow paint do you need?
Answer
(D)
6 ml
5
The ratio of apples to bananas in a fruit basket is 3:4. If there are 12 apples, how many bananas are there?
Answer
(B)
16
6
The ratio of the length to the width of a rectangle is 7:4. If the width is 12cm, what is the length?
Answer
(C)
24 cm
7
In a map with scale 1 cm: 5 km, a certain distance is represented by a line that's 8 cm long. Which statement(s) is/are true?
Answer
A
C
D
8
If 6 pencils cost $3.60, what is the cost of one pencil?
Answer
(B)
$0.60
9
Which of the following correctly represents the ratio 10:15 simplified?
Answer
A
C
D
10
If the ratio of boys to girls in a class is 2:3 and there are 10 boys. How many students in total are in the class?
Answer
(C)
25
11
If two quantities are inversely proportional, then
Answer
A
B
12
What is 1.5 hours to 45 minutes expressed as a ratio in simplest form?
Answer
(C)
3:1
13
What is the simplest form of the ratio 30 minutes: 1 hour 15 minutes?
Answer
(D)
3:5
14
The ratio of the sides of a triangle is 2:3:4. If the perimeter of the triangle is 45 cm, what is the length of the shortest side?
Answer
(B)
10 cm
15
If 5 identical boxes weigh 35 kg, how much do 3 of these boxes weigh?
Answer
(B)
21 kg
16
If the ratio of x to y is 3:8, which of the following is/are true?
Answer
B
C
D
17
If the costs of two items are in the ratio 3:5, and the first item costs $15, then:
Answer
A
D
18
If the ratio of two quantities is 3:5, and the smaller quantity is 12, what is the larger quantity?
Answer
(B)
20
19
In a class, the ratio of boys to girls is 5:4. If there are 36 students in the class, how many boys are there?
Answer
(B)
20
20
If the ratio of men to women in a room is 5:3, and there are 15 men, how many women are there?
Answer
(B)
9
21
A model car is 20cm long. The actual car is 5m long. What is the scale?
Answer
(B)
1:250
22
If 7 identical books cost $28, how much will 11 books cost?
Answer
(D)
$55
23
A shop makes a profit of $1800 in 3 months. Assuming the profit is proportional to time, what profit does the shop make in a year?
Answer
(C)
$7200
24
The scale on a map is 1:25,000. If two locations are 4cm apart on the map which of these statements is correct?
Answer
A
B
25
What is the simplified ratio for the expression 0.75:1.25?
Answer
(A)
3:5
26
A map has a scale of 1:50,000. What actual distance, in kilometers, does a 2cm length on the map represent?
Answer
(A)
0.04 km
27
A photograph is enlarged in the ratio 2:1. If the original photo was 5 cm wide, what is the width of the enlarged photo?
Answer
(D)
10 cm
28
If the ratio of flour to sugar in a cake recipe is 4:1. What's true?
Answer
A
C
D
29
A model car has a length of 15 cm, while the real car is 4.5 m long. Which statements are true?
Answer
B
C
30
Simplify the ratio 45 minutes : 1.5 hours.
Answer
(A)
1:2
31
If the price of 4 pens is $7, which is/are correct?
Answer
A
B
D
32
If x:y = 2:5, and y = 20, what is the value of x?
Answer
(B)
8
33
Express 45 seconds : 1 minute and 15 seconds as a simplified ratio.
Answer
(C)
3:5
34
If the ratio of men to women at a meeting is 3:5, which statements are true?
Answer
B
C
D
35
Express 40 minutes to 1 hour as a simplified ratio.
Answer
(B)
2:3
36
If 3 apples cost $1.50. What is the cost of a dozen apples?
Answer
(C)
$6.00
37
In a drawing, a 10 cm line represents an actual length of 5 meters. What is the scale of the drawing?
Answer
(B)
1:50
38
A recipe requires flour and butter in a ratio of 3:2. If you use 150g of flour, how much butter do you need?
Answer
(C)
100 g
39
If the ratio of two numbers is 7:9, and the difference between the numbers is 12, what are the two numbers?
Answer
(C)
28, 36
40
Which statements are true concerning ratios?
Answer
A
C
D
41
If $30 is divided between two people in the ratio 2:3, how much does each person receive?
Answer
(C)
$12 and $18