Mathematics for IGCSE & O level - Ratio And Proportion (Section 3)
1
In 200 grams of a spice mix, 45 cents worth of the spice is used. Find the cost, in dollars, of 1 kilogram of this spice mix.
Answer
(B)
$1.13
2
On a map, 1 inch represents 25 miles. What distance is represented by 4.5 inches?
Answer
(C)
112.5 miles
3
In a class of 34 students, the ratio of boys to girls is 3:4. How many boys are there?
Answer
(B)
14
4
The ratio of the sides of a triangle is 3:4:5. What is the perimeter of the triangle is the shortest side is 6cm?
Answer
(D)
30 cm
5
Which of the following are equivalent ratios to 1:3?
Answer
A
C
6
If 4 pens cost $3.20, how much would 7 pens cost?
Answer
(A)
$5.60
7
If the ratio of length to width of a rectangle is 3:1, and the perimeter is 24cm, what is the length?
Answer
(C)
9cm
8
A quantity of bag of sugar is enough to feed 12 humans for 25 days. How long would the same quantity of sugar feed 30 humans?
Answer
(B)
10 days
9
If the scale on a map is 1cm : 2km, and the distance between two points on the map is 3.5cm, what is the actual distance between the two points?
Answer
(C)
7 km
10
A map has a scale of 1:25000. If the distance between two points on the map is 8 cm, what is the real distance in kilometers?
Answer
(A)
2 km
11
A map has a scale of 1:50000. What does a distance of 2.5 cm on the map represent in kilometers?
Answer
(A)
1.25 km
12
The ratio of the length to width of a rectangle is 5:2. If the length is 15 cm, what is the width?
Answer
(A)
6 cm
13
The ratio of boys to girls in a class is 2:5. If there are 14 girls in the class, how many students are there in total?
Answer
(D)
21
14
What are the following ratios equivalent to 2:5?
Answer
A
B
D
15
Write the ratio of 2.5 liters to 500 ml in its simplest form.
Answer
(B)
5:1
16
The ratio of boys to girls in a class is 4:12. What is the ratio in simplest form?
Answer
(C)
1:4
17
Orange squash needs to be mixed in the ratio 1 part concentrate to 4 parts water. How much concentrate is needed to make 3.5 liters of orange squash?
Answer
(A)
0.7 liters
18
The ratio of men to women at a party is 3:5. If there are 15 men, how many women are there?
Answer
(C)
25
19
Which of the following statements is correct for the scale 1:100?
Answer
(A)
1 cm represents 100 cm
20
If a recipe calls for 2 eggs for every 3 cups of flour. How many eggs are needed if you use 9 cups of flour?
Answer
(B)
4
21
A model has a scale of 1:50. A building is 25m high. How tall is the model?
Answer
(A)
0.5m
22
A map scale is 1:50,000. What does 1 cm on the map represent?
Answer
(B)
5000 m
23
The scale on a map is 1 cm to 50 km. How many kilometers are represented by 4.5 cm?
Answer
(A)
22.5 km
24
The angles in a triangle are in the ratio 2:3:4. What is the measure of the smallest angle?
Answer
(B)
40°
25
Two numbers are in the ratio 3:7. The sum of the numbers is 60. What is the smaller number?
Answer
(B)
18
26
A journey can be completed in 64 minutes at an average speed of 50 kilometers per hour. How long would the same journey take at an average speed of 40 kilometers per hour?
Answer
(C)
80 minutes
27
If a map's scale is 1:20000 and a distance is represented by 2.5 cm, what is the actual distance in meters?
Answer
(B)
500 m
28
A recipe for a cake requires flour, sugar, and butter in a ratio of 5:3:2. If you use 100g of flour, how much butter is needed?
Answer
(B)
40g
29
The map scale is 1:100000. If the distance between two points is 6.5 cm on the map, what is the actual distance in kilometers?
Answer
(B)
6.5 km
30
The scale on a model car is 1:24. If the model car is 10 cm long, what is the length of the real car in centimeters?
Answer
(C)
240 cm
31
A model of a house has a scale of 1:20. The height of the model is 1.2 meters. What is the actual height of the house in meters?
Answer
(C)
24 m
32
A bag of sweets contains lemon and orange sweets in the ratio 3:4. There are 12 lemon sweets, how many orange sweets are there?
Answer
(C)
16
33
Simplify the ratio of 30 to 45 to 60.
Answer
(B)
2:3:4
34
The ratio of two numbers is 2:7. The difference between the numbers is 30. What is the larger number?
Answer
(C)
42
35
What is the simplified ratio of 75 to 100?
Answer
(A)
3:4
36
The ratio of the sides of a triangle is 2:5:6. The perimeter is 39 cm. Find the length of longest side.
Answer
(C)
18cm
37
What is the ratio of 1.6 km to 800 m?
Answer
(B)
2:1
38
If 2 apples cost $1.00, what is the cost of 5 apples?
Answer
(B)
$2.50
39
A machine can produce 30 items in 12 minutes. At the same rate, how many items can it produce in 20 minutes?
Answer
(B)
50
40
The ratio of apples, bananas and oranges is 2:3:4. If the total number of fruits is 27, how many apples are there?
Answer
(A)
6
41
What is the simplest form of the ratio 35:56?
Answer
(A)
5:8
42
If the cost of 6 oranges is $4.20, which is/are correct?
Answer
A
B
C
43
A scale drawing of a room uses a scale of 1 cm to 2 meters. Which of the following are correct?
Answer
A
B
44
If the scale on a map is 1 cm: 100 m, and a distance on the map is 5.5 cm, which statements are true?
Answer
A
C
D
45
A certain solution is made by mixing acid and water in the ratio 1:4. Which is/are true?
Answer
A
C
D
46
If two quantities are inversely proportional:
Answer
A
B
47
On a map with a scale of 1cm:25km, what is the distance on the map that represents a real-world distance of 100km?
Answer
(B)
4 cm
48
If the map's scale is 1:5,000. Which of these statements is true?
Answer
A
B
C
D
49
If $60 is split between two people in the ratio 3:7, what is the larger share?
