Name: ____________________
Class: __________(
Chapter Test 8
)
Marks: _____________
(Refer to Book 2B Ch. 8)
)
8
Rates, Ratios and Proportions
Conventional Questions
1. A car travels at a speed of 1.5 km/min. How many hours does it take for the car to travel
225 km?
(2 marks)
2. Simplify the ratio 27 min : 540 s.
(3 marks)
3. If 30 : x = 10 : 7, find the value of x.
(2 marks)
4. In a fruit shop, the ratio of the number of apples to the number of mangoes to the number of
oranges is 20 : 15 : 18. If the total number of the three kinds of fruit is 636, find the number of
mangoes.
(3 marks)
5. The scale of a map is 1 : 4 500 000. The distance between two cities A and B on the map is
5.4 cm. Find the actual distance between cities A and B in km.
(4 marks)
6. A factory produces 750 dolls in 8 days. How many dolls can the factory produce at the same
rate in 20 days?
(3 marks)
© Oxford University Press 2021
8-1
Oxford Mathematics for the New Century Chapter Test
7. A gardener mows 30 m2 of lawn in 2.4 hours.
(a) Find the mowing rate of the gardener in the following units.
(i) m2/h
(2 marks)
(ii) h/m2
(2 marks)
(b) If the gardener’s wage is $65/h, will his total income from mowing 200 m2 of lawn be
more than $1 000? Explain your answer.
(4 marks)
8. It is given that
x
z
y
z
and
, where x, y and z are non-zero numbers. Find x : y : z.


27 12
14 10
(4 marks)
9. The ratio of the length to the width of a rectangular white board is 4 : 3. If the perimeter of the
white board is 252 cm, find its area.
(5 marks)
10. If 4m + n = 5n  2m, where m and n are non-zero numbers, find
(a) m : n,
(3 marks)
(b) (3m  n) : (9m + 2n).
(3 marks)
11. If a pot of soup is shared equally among a group of elderly, each of them gets 240 mL of soup.
If a quarter of the group refuses to have soup and the pot of soup is equally shared among the
other elderly in the group, how much extra soup can each of the other elderly get?
(5 marks)
© Oxford University Press 2021
8-2
Oxford Mathematics for the New Century Chapter Test
Bonus Points
12. A team of workers pave a road. They pave half of the road at a rate of 8 m/day and pave the rest
at a rate of 12 m/day. A worker claims that they pave the whole road at an average rate
8  12
of
m/day, i.e. 10 m/day. Do you agree? Explain your answer.
(5 marks)
2
Multiple-choice Questions (2 marks each)
13. Which of the following are not rates?
4
I.
5
II. 5 km/min : 4 km/min
III. It takes 4 minutes to travel 5 km.
A.
B.
C.
D.
15. The scale of map P is 1 : 300 000. If the
distance between two piers is 6 cm on map
P, what is this distance on map Q whose
scale is 1 cm : 12 km?
A. 0.24 cm
B. 1.5 cm
I and II only
I and III only
II and III only
I, II and III
16. 4 pipes can fill up a water tank in 1 hour,
how long will it take to fill up the tank
with 3 pipes?
(Assume that water is drained from each
pipe at the same rate.)
14. The numbers of comic books and history
books on a bookshelf are in the ratio 7 : 4.
If there are 20 history books on the
bookshelf, how many books are there in
total?
A.
B.
C.
D.
A. 45 minutes
B. 75 minutes
5
15
35
55
© Oxford University Press 2021
C. 24 cm
D. 150 cm
C. 80 minutes
D. 90 minutes
17. The price of 0.25 kg of sea salt is $15.
What is the price of 175 g of the salt?
A. $10.5
B. $21.4
8-3
C. $28.3
D. $29.2
Oxford Mathematics for the New Century Chapter Test