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.
Хариулт
(B)
$1.13
2
On a map, 1 inch represents 25 miles. What distance is represented by 4.5 inches?
Хариулт
(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?
Хариулт
(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?
Хариулт
(D)
30 cm
5
Which of the following are equivalent ratios to 1:3?
Хариулт
A
C
6
If 4 pens cost $3.20, how much would 7 pens cost?
Хариулт
(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?
Хариулт
(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?
Хариулт
(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?
Хариулт
(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?
Хариулт
(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?
Хариулт
(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?
Хариулт
(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?
Хариулт
(D)
21
14
What are the following ratios equivalent to 2:5?
Хариулт
A
B
D
15
Write the ratio of 2.5 liters to 500 ml in its simplest form.
Хариулт
(B)
5:1
16
The ratio of boys to girls in a class is 4:12. What is the ratio in simplest form?
Хариулт
(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?
Хариулт
(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?
Хариулт
(C)
25
19
Which of the following statements is correct for the scale 1:100?
Хариулт
(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?
Хариулт
(B)
4
21
A model has a scale of 1:50. A building is 25m high. How tall is the model?
Хариулт
(A)
0.5m
22
A map scale is 1:50,000. What does 1 cm on the map represent?
Хариулт
(B)
5000 m
23
The scale on a map is 1 cm to 50 km. How many kilometers are represented by 4.5 cm?
Хариулт
(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?
Хариулт
(B)
40°
25
Two numbers are in the ratio 3:7. The sum of the numbers is 60. What is the smaller number?
Хариулт
(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?
Хариулт
(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?
Хариулт
(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?
Хариулт
(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?
Хариулт
(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?
Хариулт
(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?
Хариулт
(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?
Хариулт
(C)
16
33
Simplify the ratio of 30 to 45 to 60.
Хариулт
(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?
Хариулт
(C)
42
35
What is the simplified ratio of 75 to 100?
Хариулт
(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.
Хариулт
(C)
18cm
37
What is the ratio of 1.6 km to 800 m?
Хариулт
(B)
2:1
38
If 2 apples cost $1.00, what is the cost of 5 apples?
Хариулт
(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?
Хариулт
(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?
Хариулт
(A)
6
41
What is the simplest form of the ratio 35:56?
Хариулт
(A)
5:8
42
If the cost of 6 oranges is $4.20, which is/are correct?
Хариулт
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?
Хариулт
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?
Хариулт
A
C
D
45
A certain solution is made by mixing acid and water in the ratio 1:4. Which is/are true?
Хариулт
A
C
D
46
If two quantities are inversely proportional:
Хариулт
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?
Хариулт
(B)
4 cm
48
If the map's scale is 1:5,000. Which of these statements is true?
Хариулт
A
B
C
D
49
If $60 is split between two people in the ratio 3:7, what is the larger share?
