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Mathematics for IGCSE & O level - Ratio And Proportion (Section 5)

1
If 9 similar books cost $36, what will 5 such books cost?
Answer
(B)
$20
2
The actual height of the tree is 12 meters. In a drawing, the height is represented by a line that is 3 cm long. What is the scale?
Answer
(C)
1:400
3
What is the ratio 35:21 simplified?
Answer
(A)
5:3
4
A car travels 180 km on 15 litres of petrol. How far will it travel on 25 litres of petrol, assuming a constant rate?
Answer
(C)
360 km
5
A recipe requires 250g of flour and 100g of sugar. What is the ratio of flour to sugar?
Answer
(B)
5:2
6
If the ratio of girls to boys in a class is 4:5, then which statements are correct?
Answer
B
C
D
7
Simplify the ratio 0.36 : 0.48
Answer
(B)
3:4
8
A cyclist travels 90 km in 3 hours. At the same speed, how far will the cyclist travel in 5 hours?
Answer
(B)
150 km
9
A map has a scale of 1:50000. If the real distance between two points is 10 km, which of the following are true?
Answer
(B)
The map distance is 20 cm.
10
If 4 pens cost $6, how much will 10 pens cost?
Answer
(B)
$15
11
A rectangular garden has a length to width ratio of 5:3. If the length of the garden is 20 meters, what is the width?
Answer
(B)
12 m
12
What is the simplified ratio for 72:18?
Answer
(B)
4:1
13
For a certain recipe, ingredients are mixed in the ratio 3:5:2. Which statement(s) are correct?
Answer
A
C
14
If x:y = 3:7, then:
Answer
B
C
D
15
A car travels 150km in 2 hours. How far will the car travel in 3.5 hours, maintaining a constant speed?
Answer
(C)
262.5 km
16
A map has a scale of 1 cm: 5 km. If the actual distance between two towns is 35 km, what is the distance on the map?
Answer
(B)
7 cm
17
A line segment of length 42 cm is divided in the ratio 3:4. What is the length of the shorter segment?
Answer
(B)
18 cm
18
Simplify the ratio 100:150.
Answer
(B)
2:3
19
Which of the following scenarios represents direct proportion?
Answer
(C)
The amount of money earned and the number of hours worked at a constant hourly rate.
20
Which of the following relationships show inverse proportion?
Answer
A
B
C
21
If 6 tickets cost $18, which statements are correct?
Answer
A
B
C
D
22
A mixture of concrete is made using cement, sand and water in the ratio 3:2:1. How many liters of sand are needed to make 120 litres of concrete?
Answer
(B)
40 litres
23
Simplify the ratio 2.4: 3.6
Answer
(B)
2:3
24
If 6 similar notebooks cost $9, how much will 10 notebooks cost?
Answer
(C)
$15
25
If 8 identical items cost $24, what is the cost of 5 of these items?
Answer
(B)
$15
26
On a map with a scale of 1:20,000, a distance of 7 cm represents how many kilometers in real life?
Answer
(B)
1.4 km
27
A sum of money is divided among three people, A, B, and C, in the ratio 2:3:5. Which of the following statements are true?
Answer
A
B
C
28
Simplify the ratio 2 hours and 20 minutes : 1 hour and 40 minutes.
Answer
(D)
4:3
29
If a map scale is 1:200,000, how many kilometers does 1cm represent?
Answer
(B)
20 km
30
If 12 workers can complete a job in 20 days, how long will it take 15 workers to do the same job, assuming all workers work at the same rate?
Answer
(B)
16 days
31
Which of the following is directly proportional to the radius of a circle?
Answer
(B)
The circumference of the circle
32
What is the simplified form of the ratio 120 seconds : 3 minutes?
Answer
(B)
2:1
33
A map has a scale of 1 cm to 50 km. What distance on the map represents 175 km?
Answer
(B)
3.5 cm
34
A painter mixes blue and yellow paint in the ratio 3:2. If the painter uses 6 liters of blue paint, how much yellow paint is used?
Answer
(D)
9 liters
35
A group of friends is sharing a pizza. They want to divide it in the ratio 2:3:4. If the pizza is cut into 18 slices, what are the correct portions?
Answer
B
D
36
If the ratio of x:y is 1:4, which of these is/are correct?
Answer
B
C
D
37
The scale of a map is 1:50000. Two cities are 4.5 cm apart on the map. What is the actual distance between the cities in kilometers?
Answer
(B)
22.5 km
38
Express 2.5 hours to 150 minutes as a simplified ratio.
Answer
(B)
1:1
39
If the price of 3 apples is $1.80, what is the cost of 7 apples?
Answer
(B)
$4.20
40
If a recipe for cookies uses 2 cups of flour and 1 cup of sugar, what is the ratio of sugar to flour?
Answer
(A)
1:2
41
What is the simplified ratio for 0.8 to 1.2?
Answer
(B)
3:2
42
What is the ratio of 0.5 to 2.5 simplified?
Answer
(B)
1:5
43
On a map, the scale is 1:50,000. If two locations are 8cm apart on the map, which are correct?
Answer
A
B
C
44
Simplify the ratio 0.6 : 1.5
Answer
(A)
1:2
45
A map uses a scale of 1 cm to 10 km. What distance on the map represents 45 km?
Answer
(B)
4.5 cm
46
If 4 books cost $36, which statement(s) is/are correct?
Answer
A
B
D
47
A model of a building is built with a scale of 1:100. If the model is 25 cm tall, how tall is the actual building in meters?
Answer
(C)
25 m
48
If the ratio of two quantities is 5:8, then
Answer
B
C
D
49
On a map with a scale of 1:100000, how many kilometers does 5 cm represent?
Answer
(B)
5 km
50
Simplify the ratio 56:63.
Answer
(B)
8:7