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Mathematics for IGCSE & O level - Ratio And Proportion (Section 2)

1
What is the ratio of 1.5 kg to 750 g?
Answer
(B)
2:1
2
A recipe calls for the ratio of flour to sugar to be 4:3. Choose the set of amounts that fulfill this ratio.
Answer
A
B
3
A school has 600 students. The ratio of boys to girls is 7:5. How many girls are there?
Answer
(A)
250
4
The angles of a triangle are in the ratio 1:2:3. What is the size of the largest angle?
Answer
(C)
90 degrees
5
The ratio of boys to girls is 2:3. If the total number of students is 30, how many girls are there?
Answer
(D)
18
6
Select the statements that are true regarding the given ratio questions:
Answer
A
B
C
7
A model car is built to a scale of 1:20. If the actual car is 4 meters long, what is the length of the model in centimeters?
Answer
(B)
20 cm
8
The ratio of sugar to flour in a recipe is 2:3. You use 60g of sugar. How much flour do you need?
Answer
(C)
90g
9
A container holds a mixture of red and blue marbles in a ratio of 2:3. If there are 12 red marbles, how many blue marbles are there?
Answer
(B)
18
10
The ratio of the number of cows to sheep on a farm is 3:7. If there are 21 cows, how many sheep are there?
Answer
(C)
49
11
A store sells red and blue toys in a ratio of 5:8. If they sell 40 red toys, how many blue toys do they sell?
Answer
(C)
64
12
What is the simplified ratio of 24 minutes to 2 hours?
Answer
(A)
1:5
13
A model car is built to a scale of 1:10. If the real car is 4.5 meters long, what is the length of the model in cm?
Answer
(B)
45 cm
14
A map has a scale of 1:20,000. Two points are 5cm apart on the map. What is the actual distance between these points?
Answer
(A)
1 km
15
John is mixing red paint and white paint. Which of the following ratios would make the most red paint?
Answer
(C)
3:1
16
Sasha makes breakfast using oats, currants and wheat germ in the ratio 2:1:1 by mass. If she has only 24 g of currants, how much oats does she use?
Answer
(C)
48 g
17
The ratio of apples to oranges in a fruit basket is 3:5. If there are 15 apples, how many oranges are there?
Answer
(C)
25
18
What is the simplest form of the ratio 18 inches to 2 feet?
Answer
(A)
3:4
19
The scale on a map is 1:50,000. Two towns are 10cm apart on the map. Find the distance in kilometers.
Answer
(A)
5km
20
In a class, the ratio of boys to girls is 3:2. If there are 10 girls, how many boys are there?
Answer
(C)
15
21
Two people share $50 in the ratio 3:2. Which of the following statements are true?
Answer
B
C
22
A scale drawing has a scale of 1 cm : 50 km. A length of 3 cm represents what distance?
Answer
(C)
150 km
23
In a class, the ratio of students who play football to those who play basketball is 7:3. If 21 students play football, how many play basketball?
Answer
(A)
9
24
On a map, 1 inch represents 10 miles. What does a distance of 2.5 inches represent?
Answer
(D)
25 miles
25
What is the ratio of 60 seconds to 2 minutes?
Answer
(A)
1:2
26
A recipe requires 2 cups of flour for every 3 cups of sugar. If you want to use 9 cups of sugar, how many cups of flour do you need?
Answer
(B)
6 cups
27
A recipe requires flour and sugar in the ratio 5:2. If 100 grams of flour are used, how many grams of sugar are needed?
Answer
(B)
40g
28
If two numbers are in the ratio 3:5 and their sum is 48, what is the larger number?
Answer
(D)
30
29
Select the quantities that are equivalent to the ratio 1:4?
Answer
A
B
D
30
If the ratio of men to women is 4:7 in a meeting, and there are 28 women present, how many men are at the meeting?
Answer
(A)
16
31
Write the ratio of 50g to 100g in its simplest form.
Answer
(B)
1:2
32
A mixture is made by mixing cement, sand and gravel in the ratio 1:3:6. What percentage of the mixture is sand?
Answer
(B)
30%
33
If the scale is 1:40, how many centimeters on the map represent 8 meters?
Answer
(A)
20 cm
34
In a recipe, the ratio of flour to butter is 3:4. Which of the following could be the actual amount of ingredients used?
Answer
A
B
35
Simplify the ratio 15:25.
Answer
(B)
3:5
36
What are the correct steps to simplify ratios?
Answer
A
B
D
37
If the ratio of red to green marbles is 5:9, and there are 45 green marbles, how many red marbles are there?
Answer
(C)
25
38
If the ratio of paint to thinner is 4:1 and you need 20 liters of paint, how many liters of thinner do you need?
Answer
(B)
5 liters
39
Write the ratio of 4m: 75cm in its simplest form.
Answer
(B)
16:3
40
If a car uses 20 litres of fuel to travel 240 kilometres, and a journey of 540 kilometres is made, which statement below is correct?
Answer
(B)
45 liters of fuel would be used to make a journey of 540 kilometers
41
A model is built to a scale of 1:100. If a real object has a height of 15m, what will be the height of the model?
Answer
(A)
15cm
42
A line on a map is 4 cm long. The real-life distance is 20 km. What is the scale?
Answer
(D)
1:500000
43
On a map, 1 cm represents 20 km. If the distance between two towns is 7.5 cm on the map, what is the actual distance in kilometers?
Answer
(D)
150 km
44
Simplify the ratio 18:27.
Answer
(A)
2:3
45
The ratio of men to women is 4:9. What percentage of the group are men?
Answer
(C)
30.77%
46
The ratio of boys to girls in a club is 5:7. If there are 35 girls, how many boys are there?
Answer
(C)
25
47
What is the missing value in the proportion: 3/5 = ? / 20
Answer
(B)
12
48
The ratio of the sides of a triangle is 2:3:4 and the perimeter is 45 cm. What is the length of the shortest side?
Answer
(B)
10cm
49
A certain medicine requires a mixture of 1 part of a chemical and 5 parts of water. How much chemical is needed to be mixed with 15ml of water?
Answer
(B)
5ml
50
The ratio of the sides of a triangle is 4:5:6. If the perimeter is 60 cm, what is the length of the longest side?
Answer
(B)
20 cm