Mathematics for IGCSE & O level - Ratio And Proportion (Section 1)
1
What is the ratio of 500ml to 1 liter in simplest form?
Answer
(B)
1:2
2
The angles of a quadrilateral are in the ratio 1:2:3:4. What is the size of the largest angle?
Answer
(D)
144 degrees
3
What is the ratio of 1.25 kg to 250 g in its simplest form?
Answer
(C)
5:1
4
What is the ratio of 1.2 meters to 30 cm?
Answer
(B)
4:1
5
Two numbers are in the ratio of 7:4. The larger number is 28. What is the smaller number?
Answer
(B)
14
6
A recipe for cookies calls for butter and flour in the ratio 2:3. If you have 120 grams of flour, how much butter is needed?
Answer
(B)
80g
7
The ratio of cement to sand in a mixture is 1:4. If 20 kg of cement is used, how many kg of sand is needed?
Answer
(C)
80 kg
8
Two numbers are in the ratio 5:2. If the smaller number is 10, what is the larger number?
Answer
(B)
25
9
Which of the following is the simplest form of the ratio 12:18:24?
Answer
(A)
2:3:4
10
A model of a building has a scale of 1:50. If the height of the model is 10 cm, what is the actual height of the building in meters?
Answer
(B)
5 m
11
What is the simplest form of the ratio 300cm: 3m?
Answer
(A)
1:1
12
If the ratio of apples to oranges is 5:3 and there are 15 apples, find the number of oranges.
Answer
(A)
9
13
If the scale on a map is 1:100,000 and the distance between two cities on the map is 5 cm, what is the actual distance in kilometers?
Answer
(B)
25 km
14
What is the simplified ratio of 1 hour to 45 minutes?
Answer
(B)
4:3
15
If the ratio of x to y is 4:7, and x = 12, what is the value of y?
Answer
(C)
21
16
A blueprint has a scale of 1:50. If a room measures 10 cm by 15 cm on the blueprint, what are the actual dimensions?
Answer
(A)
5 m x 7.5 m
17
A model plane has a wing span of 15cm, and the scale is 1:200. What is the real wing span in meters?
Answer
(B)
3 m
18
Which of the following statements are true?
Answer
C
D
19
A map has a scale of 1:50,000. The distance between two points is 4 cm on the map. What is the actual distance in kilometers?
Answer
(B)
0.8 km
20
If 1 inch on a map represents 5 miles, then 3 inches represent how many miles?
Answer
(C)
15 miles
21
Two numbers are in the ratio 3:7. The difference between the two numbers is 16. Find the two numbers.
Answer
(A)
12 and 28
22
A map has a scale of 1:10000. What distance on the map represents 2.5 km?
Answer
(C)
25 cm
23
The ratio of John's age to Mary's age is 2:3. If John is 10 years old, how old is Mary?
Answer
(B)
15
24
What is the ratio of 300 ml to 1.5 liters?
Answer
(B)
1:3
25
The scale on a model is 1:10. If the model car is 12 cm long, what is the actual length of the car?
Answer
(C)
120 cm
26
In a scale drawing, the scale is 1 cm represents 5 meters. What would represent 20 meters?
Answer
(B)
4 cm
27
On a map, the distance between two cities is 6 cm. The actual distance is 30 km. What is the scale?
Answer
(A)
1cm:5km
28
If the ratio of the sides of a rectangle is 4:9, and the perimeter is 52 cm, what is the length?
Answer
(B)
18 cm
29
What is the simplified ratio of 90:108?
Answer
(A)
5:6
30
What is the simplest form of the ratio 45:72?
Answer
(B)
5:8
31
The sides of a rectangle are in the ratio 3:5, and the perimeter is 48 cm. Find the length of the shorter side.
Answer
(B)
9 cm
32
What is the simplified ratio of 48:36?
Answer
(A)
4:3
33
A recipe states that to make a fruit drink, you need to mix fruit juice and water in a ratio of 2:5. What amount of juice is needed to be mixed with 100ml of water?
Answer
(C)
40 ml
34
The ratio of the length of a rectangle to its width is 7:3. If the width is 9 cm, what is the length of the rectangle?
Answer
(B)
21 cm
35
In a certain class, the ratio of boys to girls is 3:4. If there are a total of 28 students in the class, how many boys are there?
Answer
(B)
12
36
On a map, 1cm represents 5km. Two places on the map are 7cm apart. What is the actual distance?
Answer
(C)
35km
37
A map uses a scale where 1 cm represents 10 km. What is the distance represented by 7.5 cm on the map?
Answer
(B)
75 km
38
What is the ratio 20 minutes: 1 hour in its simplest form?
Answer
(B)
1:3
39
A recipe for cookies calls for flour and sugar in a ratio of 3:2. You need to make a larger batch using 18 cups of flour. How much sugar will you need?
Answer
(B)
12 cups
40
A model car has a scale of 1:18. If the real car is 3.6 meters long, how long is the model in centimeters?
Answer
(C)
20 cm
41
In a class, the ratio of students who like math to those who like science is 5:3. If 15 students like math, how many like science?
Answer
(B)
9
42
What is the simplified ratio of 12 inches to 3 feet?
Answer
(A)
1:3
43
What is the ratio of 400 grams to 2 kilograms?
Answer
(A)
1:5
44
A shop sells pens and pencils in the ratio 3:7. If it has 21 pens, how many pencils does it have?
Answer
(C)
49
45
If the scale is 1:250 and the length of an object on the model is 8 cm, what is the actual length?
Answer
(B)
2 m
46
A map has a scale of 1 cm to 2 km. How many kilometers do 5 cm represent?
Answer
(D)
20 km
47
A certain type of concrete mixture requires cement, sand, and gravel in a ratio of 1:2:3. If you have 10 kg of cement, how much gravel do you need?
Answer
(D)
30 kg
48
A mixture of paint is made by mixing red paint and white paint in the ratio 1:3. If 40 liters of paint are made, how much white paint is used?
Answer
(D)
40 liters
49
The ratio of red to blue marbles in a bag is 2:5. There are 10 red marbles. How many total marbles are there?
Answer
(C)
35
50
A map scale is 1:25,000. What does 4cm on the map represent?
