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?
Răspuns
(B)
40 g
2
If 2 kg of apples cost $5.00, what is the cost of 7 kg of apples?
Răspuns
(D)
$20.00
3
If the ratio of men to women is 4:7. Which of the following is/are true?
Răspuns
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?
Răspuns
(B)
400 ml
5
A recipe uses butter, sugar and flour in the ratio 4:3:6. If 120g of butter is used, then:
Răspuns
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?
Răspuns
(B)
2 km
7
Which statement(s) is/are true about inverse proportion?
Răspuns
A
B
8
A model car is 10cm long, while the actual car is 4m long. What is the scale?
Răspuns
(C)
1:400
9
What is the simplified ratio of 1.2 : 0.8?
Răspuns
(A)
3:2
10
What is the simplified ratio of 1 hour 30 minutes to 45 minutes?
Răspuns
(D)
3:2
11
Which of the following are true if the ratio of x:y is 4:7?
Răspuns
A
B
D
12
If 5 pens cost $7.50, how much will 8 pens cost?
Răspuns
(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?
Răspuns
(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?
Răspuns
(B)
250 ml
15
A model airplane is 25cm long and the real airplane is 10m long. What is the scale?
Răspuns
(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?
Răspuns
(C)
25 kg
17
What is the ratio of 500 ml to 2 litres?
Răspuns
(C)
1:4
18
Which relationships exemplify inverse proportion?
Răspuns
A
C
19
A train travels at a speed of 120 km/h. How far will it travel in 2 hours and 30 minutes?
Răspuns
(C)
300 km
20
Given that x/y = 2/3, which of the following statements are true?
Răspuns
B
C
D
21
What is the ratio 27:9 simplified?
Răspuns
(B)
3:1
22
A machine can produce 60 items in 4 minutes. Which of these statements is (are) true?
Răspuns
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?
Răspuns
(C)
350 miles
24
On a map, 1 cm represents 500 m. What distance on the map represents 2 km?
Răspuns
(B)
4 cm
25
If the ratio of apples to oranges is 5:7, what statement(s) is/are true?
Răspuns
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?
Răspuns
(A)
0.5 m
27
What is 40 minutes to 2 hours as a simplified ratio?
Răspuns
(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?
Răspuns
(C)
6 cm
29
A machine produces 120 parts in 8 hours. How many parts can it produce in 5 hours?
Răspuns
(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?
Răspuns
(C)
25
31
Which of these is (are) a correct statement about inverse proportion?
Răspuns
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?
Răspuns
(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?
Răspuns
(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?
Răspuns
(B)
6 cm
35
What is 3:4 expressed as a percentage?
Răspuns
(D)
75%
36
Which scenario(s) represent direct proportion?
Răspuns
A
B
D
37
Divide $72 in the ratio 5:7. What is the larger share?
Răspuns
(C)
$42
38
A recipe calls for 2 cups of water and 3 cups of flour. What is the ratio of water to flour?
Răspuns
(A)
2:3
39
The ratio of the area of a circle to the area of a square inscribed in that circle is approximately:
Răspuns
(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?
Răspuns
(B)
420 km
41
Which of the following represents inverse proportion?
Răspuns
(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?
Răspuns
(D)
$25
43
On a map, a line is 3cm long. The scale is 1:100000. which statements are true?
Răspuns
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?
Răspuns
(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?
Răspuns
(B)
16
46
If the ratio of two numbers is 5:2, which statements are true?
Răspuns
A
B
D
47
Which of the following ratios is equivalent to 1:3?
Răspuns
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?
Răspuns
(C)
250 ml
49
If the ratio of x:y is 5:3, which statements are true?
