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iGCSE (2021 Edition)

10.15 Units of mass

Worksheet
Units of mass
1

Choose the most appropriate unit of measure for the following:

  • Grams
  • Kilograms
  • Tonnes
  • Milligrams
a

Cup of flour

b

Grain of sand

c

Box of 50 oranges

d

Biscuit

e

Car

f

Pencil case

g

Your weight

h

Aeroplane

2

Convert the following to milligrams (\text{mg}):

a
6 \text{ g}
b
0.006 \text{ g}
c
0.47 \text{ g}
d
72.668 \text{ g}
3

Convert the following to grams (\text{g}):

a
87 \text{ mg}
b
155 \text{ mg}
c
8505 \text{ mg}
d
52\,005\text{ mg}
4

Convert the following to the indicated units:

a

6.251 \text{ kg} to grams

b

12 \text{ kg} into grams

c

946\text{ g} to kilograms

d

11 \text{ t} into kilograms

e

3000\text{ g} into kilograms

f

5 \text{ t} into kilograms

g

9.272 \text{ t} to kilograms

h

0.493\text{ t} to kilograms

i

1000 \text{ kg} into tonnes

j

8500\text{ kg} to tonnes

5

Convert the following to the indicated units:

a

7.538 \text{ kg} to milligrams

b

0.75 \text{ t} into grams

c

0.054 \text{ kg} to milligrams

d

11\,540\,000 \text{ g} into tonnes

Estimation
6

State a reasonable estimate for the mass of each of the following:

a

Goat

b

Cat

c

50 dollar bill

d

Can of soup

e

Standard die

f

Newborn baby

g

Cherry

h

Black rhinoceros

7

The container shown has 4\text{ mg} of jelly in it. Estimate the weight of the container when it is full.

8

The container shown has 12\text{ mg} of water in it. Estimate the weight of the container when it is full.

9

The container shown has 9\text{ kg} of liquid in it. Estimate the weight of the container when it is full.

10

The container shown has 12\text{ g} of water in it. Estimate the weight of the container when it is full.

11

The container shown has 15 \text{ g} of liquid in it. Estimate the weight of the container if it was full.

12

The container shown has 1\text{ g} of jelly in it. Estimate the weight of the container when it is full.

13

An elephant has a mass of 5000 \text{ kg}:

Elephant

Rhinoceros

Use the diagram to estimate the mass of a rhinoceros.

14

A tablet has a mass of 640 grams:

Use the diagram to estimate the mass of a laptop.

Applications
15

Adam’s toy truck has a mass of 200 \text{ g}. Find the weight of the toy truck in milligrams.

16

Valerie has fruit everyday for dinner. Today she consumed 45 cherries, which weighed a total of 180 \text{ g}. How many milligrams did the average cherry weigh?

17

Rewrite 2468\text{ g} in terms of the number of whole kilograms (\text{kg}) and grams (\text{g}) left over.

18

Jordan's bag weighs \dfrac{1}{2} of a kilogram. How many grams does the bag weigh?

19

Find the total mass of 12 cans of soup, in kilograms, if each has a mass of 350\text{ g}.

20

The cost of mining gold for a mining company is \$840 per gram. How much will it cost the company to mine 0.2\text{ kg} of gold?

21

Justin is weighing himself and his dog at the same time. Their combined mass is 70 \text{ kg}. Justin knows that he weighs 32 \text{ kg}, so what must his dog weigh?

22

Mohamad's trampoline can hold a maximum of 90\text{ kg} of mass. If Mohamad has some friends over and they each weigh 30 \text{ kg}, how many of them can use the trampoline at once?

23

At a sporting match, the coach has 10 oranges in a container to give out to the team members at half-time. The container of oranges weighs 800 \text{ g}. How much does each orange weigh?

24

If 11 apples have a total mass of 3.19 \text{ kg}, find the average mass of those apples in grams.

25

A truck is transporting 8 horses. Each horse in the truck weighs 800 \text{ kg}.

a

How much do all the horses in the truck weigh altogether?

b

If the truck weighed 4000 \text{ kg} before the horses were loaded into it, how many kilograms does the loaded truck weigh now?

26

James buys a 4000 \text{ g} box of washing powder. If he uses 2.3 \text{ kg} of the washing powder, how many grams of powder is left in the box?

27

Christa buys a 8 \text{ kg} bag of rice. If she uses 2800 \text{ g}, how many kilograms of rice is left?

28

Passengers have a limit of 20 \text{ kg} of luggage on a plane. If James's bag was over the weight limit by 1800 \text{ g}, how much does his bag weigh in kilograms?

29

If each carrot has a mass of 70\text{ g} and each lemon has a mass of 60 \text{ g}, how many kilograms would 6 carrots and 9 lemons weigh altogether?

30

If a truck can carry 720 \text{ kg} of soil in one load, how many loads does it need to take in order to empty a field of 23.04 \text{ t} of soil?

31

The nutritional information on a brand of corn chips states that there is 6 \text{ mg} of sodium in every 100 \text{ g} of corn chips. How many grams of sodium would there be in 10 packets of corn chips if each packet weighs 230 \text{ g}?

32

If 25 bags of flour have a mass of 2 \text{ kg}, find the mass of 5 bags, in grams.

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Outcomes

0607C7.1

Units: mm, cm, m, km, mm^2, cm^2, m^2, ha, km^2, mm^3, cm^3, m^3 ml, cl, l, g, kg, t.

0607E7.1

Units: mm, cm, m, km, mm^2, cm^2, m^2, ha, km^2, mm^3, cm^3, m^3 ml, cl, l, g, kg, t.

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