Measurement Practice Test
Question
Level 3
Gladstone School bought 200 cartons of
biscuits to sell for fundraising. Each carton
contained 15 kg of biscuits. Each packet of
biscuits in a carton weighed 250 g.
(1000 g = 1 kg). (a) How many kg of biscuits
were there to sell? (b) How many packets of
biscuits were there?
Level 4
(a) A container which weighs 400 grams is
filled with 1500 grams of flour. What is the
total weight of the filled container?
(b) A bowl which weighs 365 grams is filled
with 3.045 kilograms of pears. What is the
total weight of the full bowl and fruit?
(c) A block of cheese weighing 1.85 kilograms
has 140 grams cut from it. How much does
the block now weigh?
Level 5
Tony wanted to make up some spray for his
roses. He followed the directions on the packet,
as shown. Rose Spray Contents: 200 grams
Directions:
1. Mix three heaped tablespoons of
1
powder into 5 litres of water.
2. Stir thoroughly.
weight
One heaped tablespoon = 5 grams
and
(a) How many heaped tablespoons of powder
capacity
will be in Tony's 200 g packet?
(b) How many litres of spray will Tony make
from 12 heaped tablespoons of powder?
(c) How many full 10 litre buckets of spray could
Tony make from this packet?
(a) kg of biscuits = 15kg × 200 = 3000kg
(a) 400g + 1500g = 1900g of flour
(a) 200g / 5g = 40 heaped tbspns in the packet.
(b) 3000kg x 1000 = 3,000,000g in total of
(b) 3.045kg + 0.365kg = 3.410kg (bowl+fruit)
(b) 3 tbsp= 5L x4 12 tbsp = 20L
1
biscuits. 3,000,000 / 250g = 12,000 packets.
(c) 1.85kg – 0.14kg = 1.71kg cheese left.
(c) One 10L bucket = 6 tbsp
Answer
2
40 tbsp in a packet ÷ 6tbsp = 6 3 so, can
make 6 full buckets of spray from the packet.
3
Some of the objects below have a capacity of
1000cm = 1L
The
3
less than 1 litre and some have a capacity of
1cm = 1mL
picture
more than 1 litre. Copy each object on to your
(a) A plastic cube
shows a
answer paper and write either “less than 1L”
measures 2 cm by 2
cross2
OR “more than 1L”.
cm by 2 cm. How
section
many millilitres (ml)
of the
Capacity (a) Laundry bucket (b) matchbox
of water will it take to
Corinth
and
(c) rubbish tin (d) coffee cup (e) Jam jar
fill the cube? [Diagram not drawn to scale].
Canal in
area/
(f) school backpack (g) Fridge (h) coke can
(b) An ice
Greece.
volume (i) bathroom sink
tray has 10
The 6.4
compartmen km long canal has sloping sides and the water is
ts. Each
8 metres deep throughout. (a) What is the area
compartment measures 3 cm by 3 cm by 3
of the cross-section of the canal up to the
cm. How many millilitres of water will it take water-line? (b) What is the total volume of
2
Answer
3
(a) more (b) less (c) more
(e) less
(f) more (g) more
(I ) more
Rick
Pam
Vicki
(d) less
(h) less
Sally
Harry
Rick’s glass has 100mL in it. Estimate how
Capacity
many millilitres are in: (a) Pam’s glass (b)
and
Vicki’s glass
volume
(c) Sally’s glass (d) Harry’s glass.
3
answer
(a) 400-500mL (b) 200-250mL (c) 250350mL (d) 50mL.
Here are some packs of meat with their
weights: 0.450kg of BBQ chops; 0.850kg of
4
steak; a 1.2kg Roast lamb; 0.352kg of beef;
and 0.56kg of sausages.
Weight (a) Convert the weights to grams.
and
(b) Which pack of meat is the heaviest?
convert- (c) Which pack of meat is closest to 1 kg?
ing
Convert the following units:
between (d) 17.5 litres = ____mL
units
(e) 1800mm = _____cm
(f) 2.8km = _______m
(g) 355cm = _____ mm
to fill the ice tray?
(a) 2cm x 2cm x 2cm = 8cm3: 8mL
(b) 3 x 3 x 3 = 27cm3. 10 x 27cm3 = 270mL to
fill the ice tray.
water in the 6.4 km long canal?
1
(a) Area (trapezium) = 2 (a+b)h
= 0.5x(22m+25m)x8m
= 188m2.
(b) Volume of water = 188m2 x 6400m
= 1,203,200m3.
A mould for home-made ice-blocks has 6
compartments. Each compartment measures
2 cm by 3 cm by 5 cm. [Not drawn to scale].
(a) How many
millilitres will it
take to fill the
mould?
(b) How many
millilitres will
be left from a full 1 litre jug after it has filled
the mould?
(a) Which fish tank(s) would hold 15 litres of
water without the tank overflowing?
(b) What is the volume of tank Q in cm3?
(c) What is the volume of Tank P in cm3?
(a) one compartment = 2cmx3cmx5cm =
(a) 15L = 15,000mL = 15,000cm3. S and R.
30cm3 = 30mL. So, the mould contains
(b) V = 20cmx12cmx60cm = 14,400cm3.
30mLx6 = 180mL.
(c) Vol = 20cmx20cmx30cm = 12,000cm3.
(b) 1L (1000mL) – 180mL = 820mL.
1000 mg = 1 g
Convert the following measurements;
1000 g = 1 kg
478mL = ___L
56.25km = ___m
1000 kg = 1 tonne
92mm = ____cm
2.14m = _____mm
(a) A bag of potatoes weighs 5 kilograms.
0.418kg = ____g
4.03L = ______mL
How many grams in a 5 kilogram bag of
3.05tonnes = ____kg
890mg = ____ g
potatoes?
0.037kg = ____g
8025mm = _____m
3
3
(b) How many 5 kg bags of potatoes would be 250,000cm = _____m 0.045cm3 = ____mm3
needed to make 1 tonne?
5,610L = _____ kL
(c) A truck which weighs 5000 kilograms can
carry 8 tonnes of potatoes. How many
kilograms of potatoes can the truck carry?
(d) How much does the truck weigh (in
tonnes) when empty?
(e) A potato weighs 435 grams. Write this
weight (i) in kilograms (ii) in milligrams
(a) 450g, 850g, 1200g, 352g, 560g.
4
Answer
(b) 1.2kg roast lamb
(c) 0.85kg of steak
(d) 17500mL (e) 180cm (f) 2800m (g)35.5cm
(a)5000g
(b) 1 tonne = 1000kg. 1000kg / 5kg = 200.
(c) 8x1000kg = 8000kg of potatoes
(d) 5 tonnes
(e) (i) 0.435kg (ii) 435,000mg
Here are incorrect answers three children
gave to questions about area and perimeter.
Write down the mistake
that each child made.
(a) Sophie said, “The
perimeter of the book is
30 cm.” What was
Sophie’s mistake?
0.478L
56,250m
9.2cm
2140mm
418g
4030mL
3050kg
0.89g
37g
8.025m
0.25m3
45mm3
5.61kL
What is the area, in hectares, of this school
playground (1ha = 10 000m2)? __________ ha
5
Area
and
perimeter
5
answer
(b) Mike said, “The
perimeter of the
table top is 6 m.”
What was Mike’s
mistake?
(c) Each square of
this pattern is 1
cm2. Tony said,
"The area of the
pattern is 20 cm2."
What was Tony's
mistake?
(a) she did not include the other 2 sides. She
just added the measurements shown.
(b) He found the area not the perimeter.
(c) he found the perimeter. He didn’t realise the
(a) Here is the floor plan of a school hall.
What is the perimeter ?
(b) What is the area (in m2)?
(a) 15+3+5+3+15+40+30+20+5+20=156m
(b) (15x40)+(37x5)+(10x40)+(5x20)=
600 + 185 + 400 + 100 = 1285m2.
A(top triangle) = 0.5 x 500m x 40m
= 10,000m2
= 1 ha
A(rect) = 240m x 500m
question was talking about area.
(a)
Calculate
the
perimeter
and the
area of this
6
Area
and
volume
6
answer
rectangle.
(b) Calculate
the
perimeter
and the area
of this
rectangle.
Question 6 continued over page…
(c) What is the perimeter of this shape?
(a) A = 10m x 6m = 60m2
P = 32m
(b) A = 32m2
P = 24m
(c) 32m
= 120,000m2
= 12 ha
A(side triangle) = 0.5 x 100m x 240m
= 12,000m2.
= 1.2 ha
Total: 14.2 ha
Mr and Mrs Rowe bought a beach section
Formulae: Area of circle = pr2
with a cottage on it. Later the cottage was
Volume of cylinder = area of
extended and became their permanent
base  height
home. The remainder of the section was in
4
Volume of sphere = 3 pr3 (level
grass.
(a) What was the area of the original cottage? 6)
(in m2).
Three perfect spheres, each with
(b) When only the cottage was on the section, a radius of 4 cm, are packaged
what was the area of grass to mow? (in m2)
one on top of the other in a clear
(c) What was the total area of the house
plastic tube for export.
when the extension was put on? (in m2)
(a) What is the height of the
(d) What is the perimeter of Rowe's home
tube? (in cm)
now?
(b) What is the area of the lid of the cylinder?
Question 6 continued over page…
(in cm2) Question 6 continued over page…
(c) What is the volume of the empty cylinder?
(in cm3).
(d) What is the volume of one orange? (in cm3) –
Level 6.
(e) What is the volume of air in the cylinder
when all 3 oranges are in it? (in cm3)
(a) A = 11m x 7m = 77m2
(b) A(grass) = (32m x 22m) – 77m2
= 704m2 – 77m2
= 627m2.
(c) A(extension) = (14mx13m) – (3mx3m)
(a) height = 3 x 8cm = 24cm
(b) Area of lid = pr2 = p×16
= 50.3cm2.
(c) Volume of cylinder = area of base  height
= 50.3m2 x 24cm
= 182 – 9
= 173m2
A(extension + Orig cott) = 77 + 173 = 250m2.
(d) 14+10+8+7+11+4+11+13 = 78m.
Choose one unit from these: mm km m cm
that you would most likely use to measure
(a) The length of your hand span.
(b) The height of a flag pole.
(c) The width of your finger nail.
(d) The distance to Australia.
(e) The thickness of a button.
(f) The distance of a train ride.
(g) The distance of a school swimming race.
= 1206.4cm3.
4
(d) Volume of sphere = 3 pr3
4
= 3 p43 = 268.1 cm3.
(e) Vol of air = vol of empty container – vol of 3
oranges
= 1206.4cm3 – (3 x 268.1cm3)
= 402.1cm3.
Chocolate bars are packed in a box as shown.
(a) How many bars are in a full box?
(b) The measurements of the box are shown
on the diagram.
i) What is the volume of the box? (in cm3)
ii) What is the volume of one bar of
chocolate? (in cm3)
7
7
answer
Small boxes of sweets are packed into a large
carton, as shown above.
a) How many small boxes of sweets will fit into
the carton?
b) What is the height of the carton? (in cm)
c) What is the width of the carton? (in cm)
(a) cm or mm (b) m (c) mm (d) km
(a) 16
(e) mm (f) km (g) m
(b) 160cm3.
Anaru packed three blocks into a cylinder, one
block on top of the other.
(a) Find the total volume of the three blocks
each measuring 4 cm × 3 cm × 3 cm. (in cm3)
(b) Find the volume of the cylinder which has a
diameter of 5 cm and a height of 9 cm.
(c) How much empty space is left around the
blocks?
a. 3 x 36cm3 = 108cm3
b. V = pi x r2 x h = pi x 2.5cm2 x 9cm
= 176.7cm3.
Boxes of sweets question
a) 24
b) 12cm
c) 20cm
c. 160 / 16 = 10
c. 176.7cm3 – 108cm3 = 68.7cm3.