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Y8 Intro to Rates/Ratios (Ch 3.03, 3.04)

Total questions: 21

Worksheet time: 1hrs 4mins

Name
Class
Date
1.

1 m = __________ cm

a)

10

b)

100

c)

1000

d)

100 000

2.

Express 50 cm : 2.5 km in the simplest form.

a)

1 : 0.05

b)

1 : 5

c)

1 : 50

d)

1 : 5 000

3.

Express 1 cm : 8 m in the form of 1 : n.

a)

1 : 80

b)

1 : 800

c)

1 : 8000

d)

1: 800 000

4.

The scale of a street map is 1 : 5000.

Find the actual distance, in metres,

for 4 cm on the map.

a)

0.2

b)

2

c)

20

d)

200

5.

A map of scale 1 : 10 000 means that 1 cm on the map represents the actual distance of 10 000 cm on the ground.


What does 4 cm on the map represent?

a)

4 cm

b)

400 cm

c)

40 000 cm

d)

40 000 m

6.

On a map scale of 1 : 50 000,

1 cm on the map represents (a)   km on the ground.

7.

A map has a scale of 1: 500 000.

If the distance from A to B on the map is 7 cm, what is the actual distance be on the ground, in kilometers?

(a)  

8.

What does the ratio of this map scale mean?


1 : 300

a)

1 mm = 300 cm

b)

1 cm = 300 cm

c)

1300 cm

d)

1km = 300 cm

9.

What is the actual distance of point D to point E if the map distance is 5 cm . Given that the map scale is 1 : 400

a)

20 cm

b)

200 cm

c)

2000 cm

d)

2 km

10.

A worker makes a toy in every 2h. If he works for 80h, then how many toys will he make ?

a)

40

b)

39

c)

45

d)

54

11.

Which is a better deal?

a)

Option A

b)

Option B

12.

Which is a better deal?

a)

A

b)

B

13.

simplest form of 45 : 60

a)

3 :4

b)

9 :15

c)

9 :12

14.

There are 250 balls in a box. Out of these 175 are red balls and rest are green balls. Find the ratio of green balls to total balls.

a)

7 : 10

b)

3 : 7

c)

3 :10

15.

A lorry uses 80 litres of fuel on a trip of 280 kilometres.

How much fuel would the same lorry use on a trip of 196 kilometres?

a)

114 litres

b)

56 litres

c)

686 litres

16.
In the recipe of a lemonade 2 cups of sugar is needed for 3 lemons. How many lemons are needed for 6 cups of sugar?
a)
4
b)
6
c)
8
d)
9
17.

An athlete runs 1500 metres in 4 minutes. Calculate her average speed in kilometres per hour.

a)

375 kilometres per hour

b)

22.5 kilometres per hour

c)

0.00625 kilometres per hour

18.
88 students in 4 classes
How many students per class?
a)
22 students per class
b)
22 classes per student
c)
25 students per class
d)
25 classes per student
19.

Convert $25 for 5kg of bananas to a rate in its simplest form.

a)

$125/kg

b)

$1/kg

c)

$5/kg

d)

$50/10kg

e)

$50/kg

20.

A tank is losing water at the rate of 20L in 4 days. How much water does it lose in 7 days?

a)

74 \frac{7}{4\ } L

b)

5 L

c)

140 L

d)

35 L

e)

75\frac{7}{5} L

21.

My dog eats on average 63 kg of dog food in 10 weeks. How much food will he eat in 7 weeks?

a)

6.3 kg

b)

441 kg

c)

90 kg

d)

44.1 kg

e)

36 kg