Mathematics for IGCSE & O level - Ratio And Proportion (Section 4)
1
A recipe for cookies uses flour and sugar in the ratio 5:2. If you use 100 grams of flour, how much sugar do you need?
Απάντηση
(B)
40 g
2
If 2 kg of apples cost $5.00, what is the cost of 7 kg of apples?
Απάντηση
(D)
$20.00
3
If the ratio of men to women is 4:7. Which of the following is/are true?
Απάντηση
A
C
D
4
A recipe calls for orange juice and grapefruit juice in the ratio 2:3. If you want to make 1 litre of the drink, how much orange juice do you need, in millilitres?
Απάντηση
(B)
400 ml
5
A recipe uses butter, sugar and flour in the ratio 4:3:6. If 120g of butter is used, then:
Απάντηση
A
B
6
A map has a scale of 1:25000. If the distance between two points on the map is 8 cm, what is the actual distance in kilometers?
Απάντηση
(B)
2 km
7
Which statement(s) is/are true about inverse proportion?
Απάντηση
A
B
8
A model car is 10cm long, while the actual car is 4m long. What is the scale?
Απάντηση
(C)
1:400
9
What is the simplified ratio of 1.2 : 0.8?
Απάντηση
(A)
3:2
10
What is the simplified ratio of 1 hour 30 minutes to 45 minutes?
Απάντηση
(D)
3:2
11
Which of the following are true if the ratio of x:y is 4:7?
Απάντηση
A
B
D
12
If 5 pens cost $7.50, how much will 8 pens cost?
Απάντηση
(B)
$12.00
13
A model car has a length and a width in a ratio of 5:2. The actual width of the car is 1.6 meters. What is the actual length of the car?
Απάντηση
(D)
5 m
14
A shop sells two sizes of coffee: small and large. The ratio of the amount of coffee in the small cup to the amount of coffee in the large cup is 2:5. The small cup holds 100ml. How much coffee does the large cup hold?
Απάντηση
(B)
250 ml
15
A model airplane is 25cm long and the real airplane is 10m long. What is the scale?
Απάντηση
(B)
1:40
16
A mixture is made using sand and cement in the ratio 2:5. If 10kg of sand is used, how much cement is used?
Απάντηση
(C)
25 kg
17
What is the ratio of 500 ml to 2 litres?
Απάντηση
(C)
1:4
18
Which relationships exemplify inverse proportion?
Απάντηση
A
C
19
A train travels at a speed of 120 km/h. How far will it travel in 2 hours and 30 minutes?
Απάντηση
(C)
300 km
20
Given that x/y = 2/3, which of the following statements are true?
Απάντηση
B
C
D
21
What is the ratio 27:9 simplified?
Απάντηση
(B)
3:1
22
A machine can produce 60 items in 4 minutes. Which of these statements is (are) true?
Απάντηση
A
C
D
23
If a car travels 200 miles in 4 hours, how many miles will it travel in 6 hours at the same speed?
Απάντηση
(C)
350 miles
24
On a map, 1 cm represents 500 m. What distance on the map represents 2 km?
Απάντηση
(B)
4 cm
25
If the ratio of apples to oranges is 5:7, what statement(s) is/are true?
Απάντηση
B
C
D
26
If the scale on a blueprint is 1:50, what does a 10mm line on the blueprint represent in real life?
Απάντηση
(A)
0.5 m
27
What is 40 minutes to 2 hours as a simplified ratio?
Απάντηση
(B)
1:3
28
Two photos are in the ratio 2:3. The height of the larger photo is 9 cm. What is the height of the smaller photo?
Απάντηση
(C)
6 cm
29
A machine produces 120 parts in 8 hours. How many parts can it produce in 5 hours?
Απάντηση
(B)
75
30
In a school, the ratio of students to teachers is 20:1. If there are 500 students, how many teachers are there?
Απάντηση
(C)
25
31
Which of these is (are) a correct statement about inverse proportion?
Απάντηση
B
C
32
The ratio of the sides of a rectangle is 2:3. If the perimeter is 40 cm, what is the length of the shorter side?
Απάντηση
(B)
8 cm
33
If a recipe uses 3 eggs for every 4 cups of flour, how many eggs are needed for 12 cups of flour?
Απάντηση
(B)
9
34
The sides of a rectangle are in the ratio 3:2. If the area of the rectangle is 54 cm², what is the shorter side’s length?
Απάντηση
(B)
6 cm
35
What is 3:4 expressed as a percentage?
Απάντηση
(D)
75%
36
Which scenario(s) represent direct proportion?
Απάντηση
A
B
D
37
Divide $72 in the ratio 5:7. What is the larger share?
Απάντηση
(C)
$42
38
A recipe calls for 2 cups of water and 3 cups of flour. What is the ratio of water to flour?
Απάντηση
(A)
2:3
39
The ratio of the area of a circle to the area of a square inscribed in that circle is approximately:
Απάντηση
(C)
3:4
40
A train travels at a constant speed. If it travels 300 km in 2.5 hours, how far will it travel in 3.5 hours?
Απάντηση
(B)
420 km
41
Which of the following represents inverse proportion?
Απάντηση
(B)
The number of workers and the time to complete a project.
42
If $45 is divided between two people in the ratio 4:5, how much does the second person receive?
Απάντηση
(D)
$25
43
On a map, a line is 3cm long. The scale is 1:100000. which statements are true?
Απάντηση
A
B
44
A cake recipe calls for butter and sugar in the ratio 4:1. If you use 100g of butter, how much sugar should you use?
Απάντηση
(B)
25 g
45
The ratio of boys to girls in a class is 3:4. If there are 28 students in the class, how many girls are there?
Απάντηση
(B)
16
46
If the ratio of two numbers is 5:2, which statements are true?
Απάντηση
A
B
D
47
Which of the following ratios is equivalent to 1:3?
Απάντηση
A
B
D
48
A recipe for lemonade requires lemon juice and water in the ratio 1:5. If 50 ml of lemon juice is used, how much water is needed?
Απάντηση
(C)
250 ml
49
If the ratio of x:y is 5:3, which statements are true?
