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1.10 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

Estimating mass
5

Choose the best estimate for the mass of each of the following:

a

Goat

A
41 \text{ mg}
B
41 \text{ g}
C
41\text{ kg}
b

Dog

A
0.1\text{ kg}
B
1\text{ kg}
C
10\text{ kg}
c

50-dollar bill

A
1\text{ mg}
B
1\text{ g}
C
1 \text{ kg}
d

Can of soup

A
9\text{ g}
B
400\text{ g}
C
50\text{ g}
e

Standard die

A
4 \text{ g}
B
80 \text{ g}
C
160 \text{ g}
f

Baby

A
95 \text{ kg}
B
25 \text{ kg}
C
2 \text{ kg}
g

Cherry

A
1\text{ g}
B
160 \text{ g}
C
1\text{ kg}
h

Rhinoceros

A
10 \text{ kg}
B
1000 \text{ kg}
C
1000 \text{ g}
6

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

7

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

8

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

9

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

10

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

11

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

12

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

Elephant

Rhinoceros

Use the diagram to estimates the mass of a rhinoceros.

13

A tablet has a mass of 640 grams:

Use the diagram to estimate the mass of a laptop.

Applications
14

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

15

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?

16

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

17

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

18

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

19

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?

20

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?

21

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?

22

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?

23

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

24

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?

25

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?

26

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

27

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?

28

If each carrot has a mass of 380\text{ g} and each lemon has a mass of 350 \text{ g}, how much would 6 carrots and 9 lemons weigh altogether? Give your answer in kilograms.

29

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?

30

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}?

31

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

ACMEM098

review metric units of mass (and weight), their abbreviations, conversions between them, and appropriate choices of units

ACMEM099

recognise the need for milligrams

ACMEM100

convert between grams and milligrams

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