Mathematics for IGCSE & O level - Ratio And Proportion (Section 6)
1
A model has a scale of 1:50. The height of the model is 10cm. What is the actual height?
2
A train travels 240 km at a constant speed in 3 hours. How long will it take to travel 320 km?
3
If the cost of 5 oranges is $3, which statements are correct?
4
In a mixture of paint, the ratio of red to blue to yellow is 4:3:2. If you use 8 ml of red paint, how much yellow paint do you need?
5
The ratio of apples to bananas in a fruit basket is 3:4. If there are 12 apples, how many bananas are there?
6
The ratio of the length to the width of a rectangle is 7:4. If the width is 12cm, what is the length?
7
In a map with scale 1 cm: 5 km, a certain distance is represented by a line that's 8 cm long. Which statement(s) is/are true?
8
If 6 pencils cost $3.60, what is the cost of one pencil?
9
Which of the following correctly represents the ratio 10:15 simplified?
10
If the ratio of boys to girls in a class is 2:3 and there are 10 boys. How many students in total are in the class?
11
If two quantities are inversely proportional, then
12
What is 1.5 hours to 45 minutes expressed as a ratio in simplest form?
13
What is the simplest form of the ratio 30 minutes: 1 hour 15 minutes?
14
The ratio of the sides of a triangle is 2:3:4. If the perimeter of the triangle is 45 cm, what is the length of the shortest side?
15
If 5 identical boxes weigh 35 kg, how much do 3 of these boxes weigh?
16
If the ratio of x to y is 3:8, which of the following is/are true?
17
If the costs of two items are in the ratio 3:5, and the first item costs $15, then:
18
If the ratio of two quantities is 3:5, and the smaller quantity is 12, what is the larger quantity?
19
In a class, the ratio of boys to girls is 5:4. If there are 36 students in the class, how many boys are there?
20
If the ratio of men to women in a room is 5:3, and there are 15 men, how many women are there?
21
A model car is 20cm long. The actual car is 5m long. What is the scale?
22
If 7 identical books cost $28, how much will 11 books cost?
23
A shop makes a profit of $1800 in 3 months. Assuming the profit is proportional to time, what profit does the shop make in a year?
24
The scale on a map is 1:25,000. If two locations are 4cm apart on the map which of these statements is correct?
25
What is the simplified ratio for the expression 0.75:1.25?
26
A map has a scale of 1:50,000. What actual distance, in kilometers, does a 2cm length on the map represent?
27
A photograph is enlarged in the ratio 2:1. If the original photo was 5 cm wide, what is the width of the enlarged photo?
28
If the ratio of flour to sugar in a cake recipe is 4:1. What's true?
29
A model car has a length of 15 cm, while the real car is 4.5 m long. Which statements are true?
30
Simplify the ratio 45 minutes : 1.5 hours.
31
If the price of 4 pens is $7, which is/are correct?
32
If x:y = 2:5, and y = 20, what is the value of x?
33
Express 45 seconds : 1 minute and 15 seconds as a simplified ratio.
34
If the ratio of men to women at a meeting is 3:5, which statements are true?
35
Express 40 minutes to 1 hour as a simplified ratio.
36
If 3 apples cost $1.50. What is the cost of a dozen apples?
37
In a drawing, a 10 cm line represents an actual length of 5 meters. What is the scale of the drawing?
38
A recipe requires flour and butter in a ratio of 3:2. If you use 150g of flour, how much butter do you need?
39
If the ratio of two numbers is 7:9, and the difference between the numbers is 12, what are the two numbers?
40
Which statements are true concerning ratios?
41
If $30 is divided between two people in the ratio 2:3, how much does each person receive?
