Review Exercise : [Form 2] Chapter 5- Ratios, Rates & Proportions I

ratio l : m = 4 : 13?

Tuition Drill Form 2 Chapter 5 : Ratios, Rates & Proportions I Objective Questions 1.

Which of the following statements is correct? A The ratio of 3l to 2 700 ml is 1 : 900. B The ratio of 28° C to 97° F is 28 : 97. C The ratio of 21 days to 2 weeks is 3 : 2. D The ratio of 1 hour to 40 minutes is 2 : 3.

2.

All the following are correct except A 4 kg : 8 kg = 1 : 2 B 5 km : 2 500 m = 2 : 1 C 30 cm : 0.4 m = 75 : 4 D 800 kg : 1 tonne = 4 : 5

3.

Which of the following is correct? A 27 : 36 = 4 : 3 2 B :6=2:9 3 C 3.2 : 4.8 = 3 : 5 D 1.5 : 4 = 3 : 8

4.

Which of the following pairs of ratios are equivalent ratios? A 84 : 36 and 77 : 33 B 63 : 49 and 18 : 12 C 7 : 28 and 13 : 42 D 9 : 15 and 25 : 35

5.

6.

A B C D 8.

The diagram shows four rectangles P, Q, R and S. Which of the following pairs of the rectangles shows that the length is proportional to its width? A P and Q B P and R C R and S D Q and S

9.

Which of the following shows that the quantities x and y are proportional?

A D

Which of the following ratios is not equivalent to the ratio 4 : 9? A 20 : 45 1 1 B : 4 9 C 32 : 72 D 60 : 135 The ratio that is not related to the ratio x : y = 11 : 5 is A x : x + y = 11 : 16 B x–y:y=6:5 C x + y : y = 5 : 16 D x–y:x+y=3:8

AC

10.

y

8

B

x

y

15

16

30

12

20

10

20

x

y

x

y

24

32

45

75

18

24

35

65

A

20

B

22

D Which of the following ratios is related to the

x

D

In the table, x is proportional to y. The value of p is

C 7.

m : l = 3 : 14 l :l–m=4:9 l + m : l – m = 17 : 9 l : m + l = 4 : 17

1 2 1 25 2 26

x

10

p

y

4

9

11.

A car took 2 hours to travel a distance of 150 km. If the distance travelled is proportional to the time, then the distance, in km, travelled by the car in 5 hours is A 225 B 275 C 345 D 375

12.

A new paint requires the mixture of 1 part of green paint, 2 parts of yellow paint and 5 parts of white paint. What is the volume, in litres, of yellow paint needed to paint a house by using 70 litres of the new paint? 1 A 17 2 1 B 26 4 C 35 3 D 43 4

13.

14.

17.

!

"

"

# A B C D

108 134 142 180

18.

The ratio of the length to the width of a rectangle is 5 : 2. If the width is 28 cm, then the length, in cm, of the rectangle is A 56 B 60 C 70 D 84

Class 2B has 20 female students. The ratio of the number of female students to the number of male students is 4 : 3. Find the total number of students in the class. A 30 B 35 C 40 D 42

19.

If m : n = 3 : 8 and m + n = 33, then A m = 3 and n = 30 B m = 9 and n = 24 C m = 24 and n = 9 D m = 30 and n = 3

Which of the following ratios is an equivalent ratio to 4 : 6 : 9? A 20 : 30 : 40 B 24 : 36 : 45 C 28 : 42 : 63 D 30 : 48 : 63

20.

The ratio that is not an equivalent ratio to 6 : 8 : 9 is 2 1 A :3:2 3 2 2 B 2:2 :3 3 1 C 3:4:4 2 1 1 D 1:1 :1 3 2

21.

Which of the following is a related ratio to x : y : z = 3 : 8 : 14?

15.

It is given that x : y = 17 : 14 and x – y = 18. The value of x + y = A 180 B 186 C 192 D 198

16.

If r : s = 12 : 7 and r – s = 235, then the value of r is A 456 B 465 C 546 D 564

A B C D

y : y + z = 4 : 11 x:y–z =1:2 x + y : x – y = 11 : 5 y : x + y + z = 8 : 23

22.

It is given that u : 10 : v = 5 : 2 : 4. What are the values of u and v? A u = 15 and v = 30 B u = 20 and v = 25 C u = 25 and v = 20 D u = 30 and v = 15

23.

If k : l : m = 14 : 3 : 9 and k – l = 209, then the value of k + l + m = A 428 B 494 C 498 D 508

24.

Given that x : y = 5 : 4 and y : z = 3 : 2. The ratio x : y : z = A 10 : 8 : 5 B 12 : 8 : 3 C 15 : 12 : 7 D 15 : 12 : 8

25.

Which of the following is not correct?

A B C D

p:q 1:3 2:3 4:1 3:5

q:r 3:7 2:3 5:4 3:4

p:q :r 1:3:7 4:6:9 20 : 5 : 4 9 : 20 : 15

26.

If f : h = 6 : 5 and h : g = 4 : 1, then the value of g when f = 96 is A 20 B 24.2 C 28.8 D 40

27.

Given that a : b : c = 9 : 4 : 6 and a + b + c = 133. The value of 3b – a is A 18 B 21 C 26 D 32

28.

The masses of three packets of sugar X , Y and Z are in the ratio 6 : 13 : 5. The difference in masses between packet Y and packet Z is 270 g. The total mass, in g , of the three packets of sugar is A 750 B 780 C 810 D 840

29.

Mr Wong wants to divide a piece of land with an area of 38 hectares to his three children Kien Hoe, Kien Joo and Kien Wah according to the ratio 5 : 3 : 2. The land area, in hectare, received by Kien Joo is A 7.8 B 10.4 C 11.4 D 14

30.

The prices of a refrigerator, a sewing machine and a washing machine are according to the ratio 5 : 3 : 8. If the price of a refrigerator is RM340 more expensive than a sewing machine, then the price, in RM, of a washing machine is A 680 B 1 020 C 1 360 D 1 700