Excel
Get the Results You Want!
Year 5
*
NAPLAN -style
Numeracy Tests
Free-to-download Sample Tests with answers
Allyn Jones
* This is not an officially endorsed publication of the NAPLAN program and is produced by Pascal Press independently of Australian governments.
Sample Test 1
Year 5 Numerac y
50 MIN
Question 1
This year Brock’s birthday is on a Friday. His sister has her birthday ten days later.
Which day of the week is her birthday?
A Friday
B Sunday
C Monday
D Tuesday
Question 2
45 + 36 =
Write your answer in the box.
Question 3
Numbers are written on cards and placed into a bag.
1
8
2
5
2
5
5
8
2
5
Which number is most likely to be taken from the bag?
A8
B2
C 4
D5
Question 4
Graeme folds a piece of paper in half and cuts out an arrow.
What does the paper look like when he unfolds it?
B
C
D
Question 5
This 3D shape is a
Y
K
K
O
CH
A cylinder.
B prism.
Excel Year 5 NAPLAN*-style Numeracy Tests
C pyramid.
41
D sphere.
Answers and explanations on pages 132–133
© Pascal Press ISBN 978 1 74125 360 3
A
Year 5 NumeracY Sample TeST 1
Question 6
Two identical trapeziums are joined together.
What shape is formed?
a pentagon
b hexagon
c octagon
d rhombus
Question 7
John is placing apples on a tray.
How many more apples can fit on the tray?
apples
Write your answer in the box.
Question 8
What day is the third Wednesday on the calendar?
a 19 November
b 23 November
S
M
5
12
19
26
6
13
20
27
November
T W T
1 2
7 8 9
14 15 16
21 22 23
28 29 30
c 16 November
F
3
10
17
24
S
4
11
18
25
d 15 November
Question 9
© Pascal Press ISBN 978 1 74125 360 3
Students recorded in the table below the number of SMSs sent and received in one week.
Name
Sent
Received
Total
Caiden
Bronwyn
Rhys
Ruby
21
11
18
13
19
14
17
15
40
25
35
28
Total
63
65
128
How many SMSs did Rhys send?
a 21
b 18
Excel Year 5 NAPLAN*-style Numeracy Tests
c 17
42
d 35
Answers and explanations on pages 132–133
Year 5 NumeracY Sample TeST 1
Question 10
The solid below is formed using 12 small cubes.
What is the view from the top?
a
b
c
d
Question 11
Sliced ham costs $19.90 per kilogram.
Lexie bought 500 grams of the ham.
About how much will she pay?
a $4.00
b $5.00
c $10.00
d $14.00
c
d
Question 12
There are four shaded shapes on grids.
b
a
Question 13
Which of these is a reflex angle?
a
b
Excel Year 5 NAPLAN*-style Numeracy Tests
c
43
43
d
Answers and explanations on pages 132–133
© Pascal Press ISBN 978 1 74125 360 3
Which has an area of 12 square units?
Year 5 NumeracY Sample TeST 1
Question 14
4842 ÷ 6 =
a 87
b 807
c 870
d 8007
c 2.5
d 2.339
Question 15
Which of these is between 2.34 and 2.439?
a 2.39
b 2.035
Question 16
This is a picture of an orange.
Which of these is closest to the mass of a real orange?
a 2 grams
b 20 grams
c 200 grams
d 2 kilograms
Question 17
Ron made this pattern of hexagons using matchsticks.
first
second
third
How many matchsticks will Ron need to make the fifth shape in the pattern?
© Pascal Press ISBN 978 1 74125 360 3
a 19
b 26
c 27
d 30
Question 18
One bag has 29 potatoes and another has 15 potatoes.
How many potatoes should be taken from one bag and put into the other so that the bags
have the same number of potatoes?
a8
b 23
Excel Year 5 NAPLAN*-style Numeracy Tests
c 14
44
d7
Answers and explanations on pages 132–133
YEAR 5 NUMERACY SAMPLE TEST 1
Question 19
The graph shows the number of runs scored by a baseball team in four games.
Goals Scored
5
4
3
Goals
2
1
0
Game Game Game Game
1
2
3
4
Games
Game
5
Which statement is true?
A There were more goals scored in Game 5 than Game 4.
B There were fewer goals scored in Game 1 than Game 4.
C There were more goals scored in Game 4 than Game 2.
D There were fewer goals scored in Game 2 than Game 3.
Question 20
Donald is paid to walk his neighbour’s dogs. When he walks 2 dogs he is paid $8.
How many dogs will he have to walk to get paid $20?
Write your answer in the box.
Question 21
Which container has the most liquid?
40 mL
30 mL
20 mL
10 mL
B
C
D
80 mL
25 mL
40 mL
10 mL
5 mL
Question 22
A store sells bags containing 6 onions for $2.00.
What is the largest number of onions that can be bought for $12.00?
A6
B 12
Excel Year 5 NAPLAN*-style Numeracy Tests
C 24
45
45
D 36
Answers and explanations on pages 132–133
© Pascal Press ISBN 978 1 74125 360 3
A
YEAR 5 NUMERACY SAMPLE TEST 1
Question 23
Which position is closest to
3
on the number line?
4
0
1
A
C
B
D
Question 24
Shenelle buys matchboxes from a store.
Each matchbox has between 48 and 52 matches.
If she has a total of 253 matches, how many matchboxes has
she bought?
A4
B6
C 5
D3
Question 25
A rectangle has a perimeter of 60 cm.
The length of each of the shorter sides is 10 cm.
What is the length of each of the longer sides?
A 20 cm
B 12 cm
C 25 cm
D 30 cm
Question 26
Georgia has a bag containing black marbles and purple marbles.
© Pascal Press ISBN 978 1 74125 360 3
When she chooses a marble from her bag without looking, it is more likely, but not certain,
that she will select a purple marble.
Which is her bag?
A
B
Excel Year 5 NAPLAN*-style Numeracy Tests
C
46
D
Answers and explanations on pages 132–133
Year 5 NumeracY Sample TeST 1
Question 27
School students are being transported to the regional swimming carnival in cars.
Each car will hold 3 students.
How many cars are needed to transport 20 students?
Write your answer in the box.
cars
Question 28
Phil opened a full 1-litre carton of orange juice.
500 mL
He poured some juice into the jug.
300 mL
How much juice remains in the carton?
a 300 mL
100 mL
b 600 mL
c 650 mL
d 700 mL
Question 29
The grid shows the position of outback airstrips.
N
Sterling
Lonsdale
Welling
The shortest distance between Carlisle and Sterling is 320 km.
What is the shortest distance between Welling and Lonsdale?
a 400 km
b 360 km
Excel Year 5 NAPLAN*-style Numeracy Tests
c 350 km
47
47
d 480 km
Answers and explanations on pages 132–133
© Pascal Press ISBN 978 1 74125 360 3
Carlisle
Year 5 NumeracY Sample TeST 1
Question 30
The diagram below shows four boxes containing balls.
Reay takes one ball from a box without looking.
Which box gives the best chance of choosing a red ball?
a
b
c
2 red
5 blue
1 green
3 red
6 blue
d
5 red
6 black
3 red
2 yellow
Question 31
How many faces are on a triangular pyramid?
Write your answer in the box.
faces
Question 32
Ellie is holding a compass on which the arrow is pointing South-East.
She turns and the arrow moves a quarter-turn clockwise.
Which direction is the arrow showing after the turn?
a North-East
b East
NW
S
d South-West
Question 33
Sarah uses these cards to make a three-digit number.
© Pascal Press ISBN 978 1 74125 360 3
4
1
3
Sarah’s number is •
•
•
•
7
5
higher than 400
less than 700
even
has 7 as the middle digit.
What is Sarah’s number?
Write your answer in the box.
Excel Year 5 NAPLAN*-style Numeracy Tests
48
NE
E
W
SW
c South
N
Answers and explanations on pages 132–133
SE
Year 5 NumeracY Sample TeST 1
Question 34
A solid is made from 20 identical cubes.
All faces of the solid are painted.
After the paint dries, the cube is pulled apart.
How many of the cubes will have exactly two faces
painted?
Write your answer in the box.
cubes
Question 35
Steve is not well and his doctor gives him a bottle of medicine.
The bottle contains 330 mL and Steve needs to take 10 mL three times a day.
How many days will the bottle last?
Write your answer in the box.
days
Question 36
An object is made up of identical squares.
Some of the squares are shaded.
Which of these shows the same fraction shaded?
b
c
d
© Pascal Press ISBN 978 1 74125 360 3
a
Excel Year 5 NAPLAN*-style Numeracy Tests
49
49
Answers and explanations on pages 132–133
Year 5 NumeracY Sample TeST 1
Question 37
P
This net is folded to make a cube.
What letter is missing from the cube?
Q
Write your answer in the box.
R
T
S
U
T
U
Question 38
What is the perimeter of the shape?
2 cm
(Not to scale)
2 cm
3 cm
4 cm
5 cm
2 cm
1 cm
a 32 cm
4 cm
b 33 cm
c 30 cm
d 23 cm
Question 39
0
1
2
3
What number is the arrow pointing to?
a 1.15
b 1.2
c 1.3
d 1.5
© Pascal Press ISBN 978 1 74125 360 3
Question 40
Keeley made this shape using identical squares.
What fraction of the shape is shaded?
a
1
2
b
7
10
c
3
5
d
2
5
End of TEsT 1
Excel Year 5 NAPLAN*-style Numeracy Tests
50
Answers and explanations on pages 132–133
Sample Test 2
Year 5 Numerac y
50 MIN
Question 1
Which of the clocks below shows the time of 5:45 pm?
A
10
11 12 1
9
8
B
2
10
3
7
6
5
11 12 1
9
4
8
C
2
10
3
7
6
5
4
11 12 1
D
2
9
10
3
8
7
6
5
11 12 1
2
9
4
8
3
7
6
4
5
Question 2
The Dennings leave on 3 July for a fortnight’s holiday
in Darwin.
What date do they return?
A 14 July
B 10 July
C 17 July
D 3 August
July
T W T
S
M
3
10
17
24
31
4 5 6 7
11 12 13 14
18 19 20 21
25 26 27 28
F
1
8
15
22
29
S
2
9
16
23
30
Question 3
Here is a pattern of numbers.
762
862
962
?
What is the next number?
© Pascal Press ISBN 978 1 74125 360 3
Write your answer in the box.
Question 4
Two prisms have been glued together.
How many faces are on the new solid?
A 10
B 11
C 12
D 13
Excel Year 5 NAPLAN*-style Numeracy Tests
51
Answers and explanations on pages 134–136
Year 5 NumeracY Sample TeST 2
Question 5
Five cubes are glued together and two small circles are drawn
on the object.
The object is moved.
Which one of these is the object?
a
b
c
d
Question 6
28 + 36 =
Write your answer in the box.
Question 7
Dixon spins the arrow on the spinner.
2
Which number is the most likely for the arrow to stop on?
a2
b3
c 4
d5
6
5
2
3
4
Question 8
© Pascal Press ISBN 978 1 74125 360 3
Fiona cut a shape out of a piece of paper.
When she folded the paper along the line, what did the paper look
like?
a
b
Excel Year 5 NAPLAN*-style Numeracy Tests
c
52
d
Answers and explanations on pages 134–136
Year 5 NumeracY Sample TeST 2
Question 9
Chris has shaded boxes in a counting pattern starting with the number 4.
1
11
21
31
41
2
12
22
32
42
3
13
23
33
43
4
14
24
34
44
5
15
25
35
45
6
16
26
36
46
7
17
27
37
47
8
18
28
38
48
9
19
29
39
49
10
20
30
40
50
What is the next number Chris should shade in the pattern?
Write your answer in the box.
Question 10
Which of these has the same value as 4 × 6 + 8?
a 10 × 4
b 8×4
c 4 ×7
d 5×6+6
Question 11
Here is a shape.
The shape has been moved.
Which of these is not the same shape?
b
c
d
Question 12
Denise buys a newspaper each day.
From Monday to Friday, the newspaper costs $1.00 each day.
On Saturdays and Sundays, the newspaper costs $2.00 each day.
What is the total cost of the newspapers for the week?
a $7.00
b $12.00
Excel Year 5 NAPLAN*-style Numeracy Tests
c $9.00
53
53
d $14.00
Answers and explanations on pages 134–136
© Pascal Press ISBN 978 1 74125 360 3
a
Year 5 NumeracY Sample TeST 2
Question 13
a
b
c
1.6
1.2
0.8
m
mm
m
cm
0.2
0.4
450
50
0.4
0.6
900
0.8
100
1350
1.0
150
1.2
1800
Which shrub is the tallest?
d
Question 14
The mass of contestants on the Biggest Trimmer television show are recorded in the table
below.
Biggest Trimmer Contestants
Name
Mass (in kg)
Ashley
182
Bev
147
Adair
151
Charles
164
Phoebe
138
© Pascal Press ISBN 978 1 74125 360 3
What is the difference between the heaviest and lightest contestants?
a 44 kg
b 46 kg
c 36 kg
d 34 kg
b 89
c 890
d 8090
Question 15
7281 ÷ 9 =
a 809
Excel Year 5 NAPLAN*-style Numeracy Tests
54
Answers and explanations on pages 134–136
Year 5 NumeracY Sample TeST 2
Question 16
A rectangle is drawn below. A ruler shows the length of one of the long sides.
cm
1
2
3
4
5
6
7
8
9
10
If the rectangle has a perimeter of 22 cm, what is the length of each of the short sides?
a 1 cm
b 2 cm
c 3 cm
d 13 cm
Question 17
Irena makes this pattern of solids using squares.
First
Second
Third
How many squares will she need to make the seventh shape in the pattern?
a 14
b 28
c 49
d 70
Question 18
The Hawks and the Swans play a game of AFL.
If the Hawks win by 15 points, how many points were scored by the Swans?
a 70
b 75
Excel Year 5 NAPLAN*-style Numeracy Tests
c 85
55
55
d 80
Answers and explanations on pages 134–136
© Pascal Press ISBN 978 1 74125 360 3
Together the teams score a total of 175 points.
Year 5 NumeracY Sample TeST 2
Question 19
The graph shows the favourite colours of students in a Year 5 class.
Favourite Colours
Purple
Colours
Red
Green
Yellow
Blue
0
2
4
6
8
Students
10
12
Which statement is true?
a There were more students who like red than students who like purple.
b There were fewer students who like green than students who like yellow.
c There were more students who like blue than students who like green.
d There were fewer students who like yellow than students who like purple.
Question 20
Harry folds this net into a cube.
Z
Which face is opposite face V?
Y
Write your answer in the box.
X
W
V
© Pascal Press ISBN 978 1 74125 360 3
U
Question 21
What is the missing number?
18 ×
= 9 × 10
Write your answer in the box.
Excel Year 5 NAPLAN*-style Numeracy Tests
56
Answers and explanations on pages 134–136
Year 5 NumeracY Sample TeST 2
Question 22
The solid shown is formed from identical cubes.
How many cubes are in the solid?
a 18
b 12
c 21
d 24
c 150 cm
d 160 cm
Question 23
The heights of four people were recorded.
Megan is 30 cm taller than Tom,
and 20 cm taller than Robyn.
Ben is 10 cm taller than Robyn.
If Tom is 140 cm, how tall is Ben?
a 170 cm
b 140 cm
Question 24
The angle between the hands on a clock at half past one is
a an acute angle.
b a right angle.
c an obtuse angle.
d a straight angle.
Question 25
She used 35 cm to wrap a birthday present.
What is the length of the remaining ribbon?
a 165 cm
b 175 cm
Excel Year 5 NAPLAN*-style Numeracy Tests
c 65 cm
57
57
d 75 cm
Answers and explanations on pages 134–136
© Pascal Press ISBN 978 1 74125 360 3
Anneke bought a 2-metre length of ribbon.
Year 5 NumeracY Sample TeST 2
Question 26
The graph below shows the number of goals scored by a group of soccer players.
Soccer Players
Number of Goals Scored
Martin
Rudi
Nestor
Henri
Derek
Key
= 3 goals
How many more goals were scored by Martin than Nestor?
Write your answer in the box.
goals
Question 27
What numbers are missing from this number sentence?
?
6
4
+
8
?
=
6
4
9
Write your answer in the boxes.
Question 28
© Pascal Press ISBN 978 1 74125 360 3
A family has 15-litre bottles of water delivered to their home.
They use four of the bottles each month.
How many 600-mL bottles of water can be filled each month?
a 10
b 50
Excel Year 5 NAPLAN*-style Numeracy Tests
c 100
58
d 200
Answers and explanations on pages 134–136
Year 5 NumeracY Sample TeST 2
Question 29
The goals scored by players in four games are recorded in the table below.
Tarek
1
4
2
4
11
Game 1
Game 2
Game 3
Game 4
Total
Herman
2
2
3
2
9
Jules
0
6
8
2
16
Total
3
12
13
8
36
How many goals were scored by Jules in Game 3?
Write your answer in the box.
Question 30
Avocados are sold in trays of 4.
How many trays can be filled using 168 avocados?
a 42
b 43
c 44
d 48
Question 31
A group of friends went out to a restaurant for dinner.
They each ordered a dish priced between $27 and $32 each.
The total bill for the food was $216.
How many were in the group?
a6
b7
c 9
d 10
Question 32
7
4
2
5
2
7
5
3
The cards are placed into a box.
Without looking, Lacey chooses one card from the box.
What is the chance the card is the number 7?
a 2 out of 7
b 1 out of 4
Excel Year 5 NAPLAN*-style Numeracy Tests
c 1 out of 8
59
59
d 1 out of 7
Answers and explanations on pages 134–136
© Pascal Press ISBN 978 1 74125 360 3
Numbers are written on identical-sized cards.
Year 5 NumeracY Sample TeST 2
Question 33
James multiplied 3.487 by a number and the answer was 3487.
What did he multiply by?
Write your answer in the box.
Question 34
0
1
2
3
Y
X
What number is halfway between X and Y?
a 0.6
b 2.1
c 1.5
d 1.4
Question 35
A map is drawn on a grid showing roads
around the town of Hudson.
N
Hudson
Labinot leaves his home in Hudson and
drives North-West.
Drayton
Alton
He then turns South-West and then
South-East.
Claren
Bidwell
He finally drives East and stops at the next
town.
Where does Labinot stop?
a Alton
b Bidwell
c Claren
d Drayton
Question 36
Entertainment Unit
The rug in the middle of the room measures 2 m
by 1.5 m.
Rug
Sofa
What is the scale used in the plan?
One unit represents
Sofa
m.
Excel Year 5 NAPLAN*-style Numeracy Tests
60
Bookshelf
© Pascal Press ISBN 978 1 74125 360 3
A plan of a loungeroom is drawn on the grid.
Lamp
Answers and explanations on pages 134–136
1 unit
Year 5 NumeracY Sample TeST 2
Question 37
Ian arranges these cards to make a true number sentence.
?
?
?
×
?
=
3
6
0
What are the missing cards?
a
c
8
2
1
0
5
1
8
0
b
d
0
3
6
2
1
6
0
2
Question 38
William is knitting a scarf.
Every week, he knits a 4-cm length.
After a year, how long is the scarf in metres?
Write your answer in the box.
metres
Question 39
What is the total of faces, edges and vertices on a hexagonal prism?
a 32
b 34
c 36
d 38
Question 40
The cost of a litre of regular petrol is 138.4 cents per litre.
What is the difference between the two prices?
Write your answer in the box.
cents per litre
End of TEsT 2
Excel Year 5 NAPLAN*-style Numeracy Tests
61
61
Answers and explanations on pages 134–136
© Pascal Press ISBN 978 1 74125 360 3
The cost of a litre of high-grade petrol is 153.9 cents per litre.
Sample Test 3
Year 5 Numerac y
50 MIN
Question 1
Robbie has shaded boxes in a counting pattern starting with the number 8.
1
11
21
31
41
2
12
22
32
42
3
13
23
33
43
4
14
24
34
44
5
15
25
35
45
6
16
26
36
46
7
17
27
37
47
8
18
28
38
48
9
19
29
39
49
10
20
30
40
50
What is the next number he should shade in the pattern?
Write your answer in the box.
Question 2
Which of these shapes does not have a pair of parallel sides?
a parallelogram
b trapezium
c rectangle
d pentagon
Question 3
What is the best way to estimate the total cost of these kitchen items?
© Pascal Press ISBN 978 1 74125 360 3
$72.00
$42.00
$37.00
$58.00
a $30 + $40 + $70 + $50
b $40 + $40 + $70 + $60
c $40 + $40 + $80 + $60
d $40 + $50 + $80 + $60
Question 4
Dirk wrote this pattern by subtracting 7:
54, 47, 40,
What is the next number?
Write your answer in the box.
Excel Year 5 NAPLAN*-style Numeracy Tests
62
Answers and explanations on pages 136–138
Year
Year5 5NumeracY
NumeracYSample
SampleTeST
TeST1 3
Question 5
The time is quarter past 4.
Liam’s favourite television show starts in 10 minutes.
Which clock shows the starting time of Liam’s show?
a
b
4:10
c
10:15
d
4:15
4:25
Question 6
58 + 22 =
Write your answer in the box.
Question 7
Rachel wrote these number sentences on four cards.
Which one equals 738?
a 700 + 30 + 8
b
7+3+8
70 + 30 + 80
c
d 700 + 30 + 80
Question 8
Balls are numbered and placed in a box.
2
Liz is blindfolded and chooses one ball from the
box.
5
Which number is least likely to be chosen?
a4
b5
c 2
5
3
5
4
3
5
2
d3
Which is the smallest angle?
a
b
Excel Year 5 NAPLAN*-style Numeracy Tests
c
63
d
Answers and explanations on pages 136–138
© Pascal Press ISBN 978 1 74125 360 3
Question 9
Year 5 NumeracY Sample TeST 3
1
Question 10
Lenny wants to buy a pizza.
He has $7.20 and he needs another 75 cents to buy the pizza.
How much does the pizza cost?
Write your answer in the box.
$
Question 11
Which one of these nets will not make a square pyramid?
a
b
c
d
Question 12
This is a picture of a handspan.
Which of these is closest to the length of a real handspan?
© Pascal Press ISBN 978 1 74125 360 3
a 5 cm
b 20 cm
c 60 cm
d 140 cm
Question 13
352 + 499 =
What is the missing number?
Write your answer in the box.
Excel Year 5 NAPLAN*-style Numeracy Tests
64
Answers and explanations on pages 136–138
Year 5 NumeracY Sample TeST 3
1
Question 14
A school has four sports houses: Bradman, Jackson, Newcombe and Perkins.
The winning houses at each year’s school swimming carnival are recorded in the table
below.
Year
1999
2000
2001
2002
2003
2004
House
Newcombe
Bradman
Jackson
Jackson
Newcombe
Perkins
Year
2005
2006
2007
2008
2009
2010
House
Perkins
Perkins
Jackson
Bradman
Perkins
Jackson
Which graph shows the results for the years recorded in the table?
Number of years
b
Number of years
c
Number of years
d
5
4
3
2
1
0
5
4
3
2
1
0
5
4
3
2
1
0
5
4
3
2
1
0
Winning Houses
Bradman Jackson Newcombe Perkins
Sporting house
Winning Houses
Bradman Jackson Newcombe Perkins
Sporting house
Winning Houses
Bradman Jackson Newcombe Perkins
Sporting house
© Pascal Press ISBN 978 1 74125 360 3
Number of years
a
Winning Houses
Bradman Jackson Newcombe Perkins
Sporting house
Excel Year 5 NAPLAN*-style Numeracy Tests
65
65
Answers and explanations on pages 136–138
YEAR 5 NUMERACY SAMPLE TEST 3
1
Question 15
Tamara recorded this data about some of her classmates.
Mass (kg)
48
45
49
52
Height (cm)
132
143
144
151
Student name
Jack
Tom
Keeley
Lauren
How did Tamara order her data?
A by student name B by height
C by mass
Age (years)
10
11
11
10
D by age
Question 16
A survey was held to find the number of students who had used the internet in the past
24 hours.
Year 3
Year 4
Year 5
Year 6
Total
Boys
11
9
12
14
46
Girls
8
13
11
15
47
Total
19
22
23
29
93
How many girls in Year 6 used the internet in the past 24 hours?
Write your answer in the box.
Question 17
Peaches were priced at $3.95 per kilogram. Sam bought 2 kg of the peaches.
About how much did she pay?
© Pascal Press ISBN 978 1 74125 360 3
A $7
B $8
C $9
D $10
Question 18
As part of his fitness program, Daniel runs every morning.
Over a fortnight he calculated that he had run a total of 88 km.
If he ran 6 km more in his first week than in his second week, what distance did he run in
the second week?
A 44 km
B 38 km
Excel Year 5 NAPLAN*-style Numeracy Tests
C 50 km
66
D 41 km
Answers and explanations on pages 136–138
Year 5 NumeracY Sample TeST 3
1
Question 19
A pizza shop makes a profit of $6 on every pizza it sells.
On one night the shop made a profit of $126 from the pizzas it sold.
How many pizzas were sold?
pizzas
Write your answer in the box.
Question 20
Brodie made a spinner and wrote some numbers on the sections.
When he spins the arrow it is least likely, but not impossible, that he will spin the number 1.
Which is his spinner?
b
a
c
d
3
4
4
1
3
2
1
2
3
1
2
2
3
Question 21
Ed uses these cards to make numbers.
5
8
1
4
6
What is the largest odd number that he can make using four of the cards?
Write your answer in the boxes.
Question 22
Barb
Leon
Whose house does she pass?
b John
c Leon
d Pam
Excel Year 5 NAPLAN*-style Numeracy Tests
Keith
Barrington Street
She then turns right at the next corner.
a Keith
Minmi Road
67
67
Pam
Sublime Road
Barb leaves her home and turns left into
Raine Street.
Ray
Brett
Jack
Answers and explanations on pages 136–138
© Pascal Press ISBN 978 1 74125 360 3
John
Raine Street
The map shows the homes of schoolfriends
in a town.
YEAR 5 NUMERACY SAMPLE TEST 3
1
Question 23
Four backpackers are on holiday at Coolangatta.
They can only afford to hire one surfboard for 2 hours and share the time equally.
How long will each of them use the surfboard?
A
1
4
of an hour
B
1
3
of an hour
C
1
2
an hour
D
3
4
of an hour
Question 24
Liam has $26 and Arwon has $42.
How much will Arwon give Liam so that they both have the same amount of money?
A $8
B $12
C $14
D $16
Question 25
The timetable for fitness classes at a gym is shown below.
Monday
Circuit
RPM
Tuesday
Circuit
Wednesday
Circuit
R PM
Thursday
Circuit
Fr iday
Circuit
R PM
Saturday
Sunday
6:00 am
6:30 am
7:00 am
Bodywork
B odywork
7:30 am Bodypump
Bodypump
B odypump
8:00 am
Fat Burner
Fat Burner
Circuit
Circui t
8:30 am
9:00 am
Over 50s Fat Burner Over 50s Bodypump Over 50s
Bodypump Bodypump
9:30 am
10:00 am
Circuit
Crunches
Circuit
Crunches
Circuit
RPM
RPM
Simeon arrives at 8:40 am on Thursday.
What is the next class?
© Pascal Press ISBN 978 1 74125 360 3
A Fat Burner
B Bodypump
C Over 50s
D RPM
B 10
C 100
D 1000
Question 26
8762 ÷
= 87.62
What is the missing number?
A 0.01
Excel Year 5 NAPLAN*-style Numeracy Tests
68
Answers and explanations on pages 136–138
Year 5 NumeracY Sample TeST 3
1
Question 27
The picture shows a bobby pin alongside a ruler.
cm
1
2
3
4
5
6
7
8
9
10
What is the length of the bobby pin?
a 44 mm
b 64 mm
c 70 mm
d 6 mm
Question 28
Six weeks ago Mat had 15 footy cards.
Every week since then he has bought a packet of footy cards.
Each packet has 4 footy cards.
Which of these shows the number of footy cards Mat has now?
a 15 + 6 + 4
c 15 × 6 × 4
b 15 + 6 × 4
d 15 × 6 + 4
Question 29
Which of the following does not have exactly two axes of symmetry?
a
H
b
I
c
M
d
X
Question 30
A plan of a schoolyard is drawn below.
Classrooms
Toilets
Scale
Hall
10 m
: tree
Shaded area
Classrooms
Canteen
The distance in the schoolyard from the flagpole to the canteen is closest to
a 30 m.
b 30 cm.
Excel Year 5 NAPLAN*-style Numeracy Tests
c 3 m.
69
69
d 3 cm.
Answers and explanations on pages 136–138
© Pascal Press ISBN 978 1 74125 360 3
Flagpole
Year 5 NumeracY Sample TeST 3
1
Question 31
Mat wrote these numbers on cards and laid them on a table.
13
15
16
18
32
34
22
30
24
23
20
28
10
19
26
He turns over any card with numbers which are multiples of 3 or 4.
How many cards will he turn over?
Write your answer in the box.
Question 32
Joseph wrote decimals on five cards.
He pegged the cards on a line in the classroom, in order from lowest to highest.
0.31
0.09
0.13
0.19
?
Which number could not be written on the blank card?
a 0.195
b 0.2
c 0.3
d 0.4
Question 33
© Pascal Press ISBN 978 1 74125 360 3
Nigel uses a set of scales to balance a ball
with two blocks.
How many balls would he use to balance a ball
and four blocks?
Write your answer in the box.
balls
Excel Year 5 NAPLAN*-style Numeracy Tests
70
?
Answers and explanations on pages 136–138
YEAR 5 NUMERACY SAMPLE TEST 3
1
Question 34
Ted used these nets to make dice.
He rolls each die.
Which gives the best chance of rolling an orange?
A
B
C
D
Question 35
The cost of a junior burger is three-quarters the cost of a double cheeseburger.
The double cheeseburger costs $4.
What is the cost of two junior burgers and a double cheeseburger?
$
Write your answer in the box.
Question 36
These cards are turned over and mixed up.
Red
Blue
Red
Yellow
Green
Red
Blue
Green
Green
Yellow
Red
Blue
Sam selects a card at random.
A 1 out of 4
B 1 out of 6
C 2 out of 4
D 1 out of 12
Question 37
The number 26.05 is
A 2 tens + 6 ones + 5 hundredths.
B 2 hundreds + 6 tens + 5 tenths.
C 2 tens + 6 ones + 5 tenths.
D 2 ones + 6 tenths + 5 hundredths.
Excel Year 5 NAPLAN*-style Numeracy Tests
71
71
Answers and explanations on pages 136–138
© Pascal Press ISBN 978 1 74125 360 3
What is the chance that she chooses yellow?
Year 5 NumeracY Sample TeST 3
1
Question 38
Which shape has the largest area?
The diagrams are not drawn to scale.
a
b
5 cm
c
6 cm
d
7 cm
3 cm
6 cm
6 cm
8 cm
12 cm
Question 39
The pie graph shows the favourite holiday activities of a group of students.
Favourite activities
Reading
Beach
Bushwalking
Movies
If 30 students said that their favourite activity was going to the movies, about how many said
bushwalking was their favourite activity?
a 30
b3
c 18
d 10
Question 40
The diameter of a 20-cent coin is 28.52 mm.
© Pascal Press ISBN 978 1 74125 360 3
Students made a line of coins using 1000 coins.
How long was the line of coins?
a 28.52 metres
28.52 mm
b 2.852 metres
c 57.04 metres
d 2 852 000 mm
End of TEsT 3
Excel Year 5 NAPLAN*-style Numeracy Tests
72
Answers and explanations on pages 136–138
Sample Test 4
Year 5 Numerac y
50 MIN
Question 1
What is the area of the shaded shape, in square units?
Write your answer in the box.
square units
Question 2
Five cubes are glued together and two small circles are drawn
on the object.
The object is moved.
Which one of these is the object?
A
B
C
D
Question 3
Emails in the inbox
Name
Number of emails
Skye
11
Kristine
27
Ross
8
Ernie
17
Mercia
13
What is the difference between the largest number and the smallest number of emails?
A 18
B 21
Excel Year 5 NAPLAN*-style Numeracy Tests
C 19
73
D 9
Answers and explanations on pages 138–140
© Pascal Press ISBN 978 1 74125 360 3
Five workmates recorded the number of emails in their inboxes when they arrived at work
on Monday morning.
Year 5 NumeracY Sample TeST 4
1
Question 4
Which of these does not have the same value as 8 × 6?
a 4 × 12
b 7×7–1
c 10 × 5 – 4
d 9×5+3
Question 5
Three shapes are joined to form an object.
Which shape is not shown?
a pentagon
b hexagon
c parallelogram
d trapezium
Question 6
Rhian’s singing lesson starts at 3:45 and lasts for half an hour.
What time does her lesson finish?
a 4:00
b 4:15
c 4:30
d 4:45
Question 7
Arman has his grand final on the third Saturday of this calendar.
S
M
1
7 8
14 15
21 22
28 29
September
T W T
2 3 4
9 10 11
16 17 18
23 24 25
30
F
5
12
19
26
S
6
13
20
27
© Pascal Press ISBN 978 1 74125 360 3
What is the date of the game?
a 20 September
b 21 September
c 27 September
d 28 September
Question 8
This 3D shape is a
a cylinder.
b prism.
c pyramid.
d sphere.
Excel Year 5 NAPLAN*-style Numeracy Tests
74
Answers and explanations on pages 138–140
Year 5 NumeracY Sample TeST 4
1
Question 9
47 + 35 =
Write your answer in the box.
Question 10
The maximum and minimum temperatures in particular cities in Australia for 31 January are
recorded in the table below.
Temperatures in Australian cities
City
Minimum (°C) Maximum (°C)
Brisbane
23
28
Sydney
22
27
Canberra
17
30
Melbourne
17
27
Hobart
12
19
Adelaide
17
32
Perth
19
32
Darwin
27
33
Which city has the biggest difference in temperatures for that day?
a Adelaide
b Darwin
c Melbourne
d Perth
Question 11
Numbers are written on cards and placed into a bag.
Which number is most likely to be chosen from the bag
without looking?
a7
b5
c 2
d3
5
3
5
6
2
7
3
5
6
5
7
2
Maria folds a piece of paper in half and cuts out a triangle.
What does the paper look like when she unfolds it?
a
b
Excel Year 5 NAPLAN*-style Numeracy Tests
c
75
75
d
Answers and explanations on pages 138–140
© Pascal Press ISBN 978 1 74125 360 3
Question 12
Year 5 NumeracY Sample TeST 4
1
Question 13
At the beginning of their swim school, students swim a lap of the pool and their time is
recorded.
There are 8 lap lanes in the pool.
If 75 students are to line up, what is the smallest number of races needed so all students
have their time recorded?
Write your answer in the box.
races
Question 14
Leilan made a solid which has 8 faces.
Which object could Leilan have made?
b
a
c
d
Question 15
A rectangle is drawn next to a ruler.
cm
1
2
3
4
5
6
7
8
9
10
If the rectangle has a perimeter of 20 cm, what is the length of one of the shorter sides?
a 1 cm
b 2 cm
c 5 cm
d 5.5 cm
© Pascal Press ISBN 978 1 74125 360 3
Question 16
A railway station is closed for track maintenance and the passengers are to be transported
to the next station using mini-buses.
There are 83 passengers to be transported.
Each mini-bus holds 12 or 13 passengers.
What is the smallest number of mini-buses required?
a6
b7
Excel Year 5 NAPLAN*-style Numeracy Tests
c 8
76
d9
Answers and explanations on pages 138–140
Year 5 NumeracY Sample TeST 4
1
Question 17
Aaron is paid $72 for working a Saturday shift at a pet shop.
He saves $36.
What fraction of his pay does Aaron save?
a
1
3
b
1
8
c
1
2
d
Question 18
NW
The arrow on a compass rose is pointing North-East.
Ben turns the arrow a quarter-turn in an anti-clockwise direction.
a North-West
b South-East
c East
N
NE
E
W
SW
Which direction is the arrow showing after the turn?
3
8
SE
S
d North
Question 19
Andre bought a 2-kg packet of sugar from the supermarket.
When he got home he poured 450 grams into a container.
What is the mass of sugar remaining in the packet?
a 650 grams
b 550 grams
c 1650 grams
d 1550 grams
Question 20
Write a number between 1 and 10 in the box below to make the number sentence true.
6×
> 50 – 7
Question 21
Which object is the heaviest?
a
b
grams
200
300
900
750 450
600
Excel Year 5 NAPLAN*-style Numeracy Tests
d
grams
grams 150
100
300
c
300
200
77
77
grams
100
1500
500
1000
Answers and explanations on pages 138–140
© Pascal Press ISBN 978 1 74125 360 3
Write your answer in the box.
Year 5 NumeracY Sample TeST 4
1
Question 22
Emma folds this net into a cube.
A
B
Which face is opposite face C?
C
D
E
Write your answer in the box.
F
Question 23
A group of four grandmothers recorded the number of their grandchildren in the graph
below.
• Shirley had the least number of grandchildren.
• Sophia has more grandchildren than Phillipa.
• Gwen had the most number of grandchildren.
10
8
Number of 6
grandchildren 4
2
0
Grandchildren
A
B
Women
C
D
Which is Phillipa’s column on the graph?
© Pascal Press ISBN 978 1 74125 360 3
aA
bB
c C
dD
Question 24
Together, Silas and Craig caught a total of 20 fish.
If Silas caught 6 more than Craig, how many fish did Craig catch?
a8
b7
Excel Year 5 NAPLAN*-style Numeracy Tests
c 24
78
d 14
Answers and explanations on pages 138–140
YEAR 5 NUMERACY SAMPLE TEST 4
1
Question 25
A’isha makes this pattern of solids using cubes.
First
Second
Third
How many cubes will she need to make the sixth shape in the pattern?
A 24
B 25
C 26
D 21
Question 26
6×4=3×
Write your answer in the box.
Question 27
Here is a pattern of numbers.
720
820
920
?
What is the next number?
Write your answer in the box.
Question 28
A 81
B 801
C 810
D 8010
C 42
D 76
Question 29
Four years ago Roger was 38 years old.
Today he is twice his daughter’s age.
How old is his daughter now?
A 19
B 21
Excel Year 5 NAPLAN*-style Numeracy Tests
79
79
Answers and explanations on pages 138–140
© Pascal Press ISBN 978 1 74125 360 3
4005 ÷ 5 =
YEAR 5 NUMERACY SAMPLE TEST 4
1
Question 30
Which arrow is pointing to 2.31?
2.1
2.2
Q
P
AP
2.3
R
S
BQ
2.4
C R
DS
Question 31
Over three days Lionel and Jeremy complete 100 push-ups.
Number of push-ups
Lionel
Tuesday
Wednesday
Jeremy
Thursday
0
20
40
Push-ups
60
80
100
On Wednesday, how many more push-ups did Jeremy complete than Lionel?
Question 32
This net is folded to make a cube.
7
4
?
© Pascal Press ISBN 978 1 74125 360 3
5
9
8
The sum of any two opposite faces on the cube is the same total.
What is the missing number on the net?
Write your answer in the box.
Excel Year 5 NAPLAN*-style Numeracy Tests
80
Answers and explanations on pages 138–140
YEAR 5 NUMERACY SAMPLE TEST 4
1
Question 33
An object is made up of identical squares.
Some of the squares are shaded.
Which of these shows the same fraction shaded?
A
B
C
D
Question 34
5
4
3
6
What is the largest even number that can be made using all four numbers?
Write your answer in the box.
Question 35
Ricky uses small cubes like this
to make this solid
How many cubes were removed?
Write your answer in the box.
Excel Year 5 NAPLAN*-style Numeracy Tests
cubes
81
81
Answers and explanations on pages 138–140
© Pascal Press ISBN 978 1 74125 360 3
He then removes some cubes to leave this solid
Year 5 NumeracY Sample TeST 4
1
Question 36
Colleen has made a solid.
Her solid has • 5 faces
• 8 edges
• 5 vertices.
Which could be Colleen’s solid?
a triangular prism
b triangular pyramid
c square pyramid
d rectangular prism
Question 37
What numbers are missing from this number sentence?
3
?
4
+
5
?
=
4
1
7
Write your answer in the boxes.
and
Question 38
The grid shows the homes of schoolfriends.
Monica
Rachael
Emma
Phoebe
© Pascal Press ISBN 978 1 74125 360 3
Chandler
Joey
Ross
The shortest distance between Rachael’s home and Emma’s home is 1.5 km.
Whose home is 2.5 km from Phoebe’s home?
a Monica
b Joey
Excel Year 5 NAPLAN*-style Numeracy Tests
c Ross
82
d Chandler
Answers and explanations on pages 138–140
Year 5 NumeracY Sample TeST 4
1
Question 39
David spends $4 at the canteen.
He bought at least one of each of these items.
Item
Price
Sandwich
$1.20
Juice
$1.00
Apple
$0.80
Packets of cough lollies
$0.50
Number
Write in the last column the number of each item that David bought.
Question 40
In the desert, a straight section of road joins four small towns.
Daly Creek
Milton
Woodnahbah
Sliver
The distance from Daly Creek to Woodnahbah is 30 km and from Milton to Sliver is 40 km.
If Milton is halfway between Daley Creek and Woodnabah, how far is it from Sliver to
Woodnahbah?
a 5 km
b 10 km
c 15 km
d 25 km
© Pascal Press ISBN 978 1 74125 360 3
End of TEsT 4
Excel Year 5 NAPLAN*-style Numeracy Tests
83
83
Answers and explanations on pages 138–140
Year 5 Numerac y
Year 5 Numeracy Sample Test 1
C (Basic level)
81 (Basic level)
D (Basic level)
A (Basic level)
B (Basic level)
B (Basic level)
13 (Basic level)
D (Basic level)
B (Basic level)
C (Basic level)
C (Basic level)
B (Basic level)
C (Intermediate level)
B (Intermediate level)
A (Intermediate level)
C (Basic level)
B (Intermediate level)
D (Intermediate level)
D (Intermediate level)
5 (Intermediate level)
1
10 days is 1 week and 3 days.
Friday plus 3 days gives Monday.
His sister’s birthday is on a Monday.
45 + 36 = 45 + 30 + 6
45
= 75 + 6
+ 36
= 81
81
There are more 5s than any other
number (4 out of 10 cards).
5 is the most likely number to be chosen.
The paper will look like A.
The solid is a (triangular)
prism.
3
4
5
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
8 The third Wednesday is 15 November.
9 Rhys sent 18 SMSs.
10 The view from the top is
Pages 41–50
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
2
© Pascal Press ISBN 978 1 74125 360 3
Sample Test Answers
C (Intermediate level)
D (Intermediate level)
C (Intermediate level)
C (Intermediate level)
A (Intermediate level)
C (Intermediate level)
7 (Intermediate level)
C (Intermediate level)
A (Advanced level)
D (Advanced level)
4 (Intermediate level)
D (Intermediate level)
574 (Advanced level)
8 (Advanced level)
11 (Advanced level)
D (Advanced level)
S (Advanced level)
A (Advanced level)
C (Advanced level)
A (Advanced level)
6
A hexagon
7
Missing apples = 3 + 5 + 5
= 13
13 more apples can fit on the tray.
Excel Year 5 NAPLAN*-style Numeracy Tests
11 500 grams is half a kilogram.
As $19.90 is about $20, then half is about
$10. Lexie will pay about $10.00.
12 Count up the shaded squares on
each grid. The only one that is
12 square units is:
It has 8 squares + 8 half squares
= 12 squares.
13 This angle is more than 180°
and less than 360°; it is reflex.
14 4842 ÷ 6 = 807
807
6 4842
)
15 First, rewrite 2.34 as 2.340.
Between 2.340 and 2.439 is 2.390.
2.39 is in between.
16 From the choices, an orange has a mass of
about 200 grams.
17 Counting the matches:
6, 11, 16, … (they are increasing by 5).
Continuing the pattern: 6, 11, 16, 21, 26.
The fifth number is 26.
Ron will need 26 matchsticks for the fifth
shape.
18 Difference = 29 – 15 = 14
As half of 14 is 7, then 7 potatoes need to be
taken. (This means there will be 22 potatoes
in both.)
19 By comparing the height of the columns
and therefore the number of goals scored
you can see the correct statement is ‘There
were fewer goals scored in Game 2 than
Game 3’.
20 If he gets $8 to walk 2 dogs, he must get
paid $4 for each dog walked. To make $20
he has to walk 5 dogs because 20 ÷ 5 = 4.
21 Container C has 30 mL.
(A has 25, B 20, D 7.)
132
YEAR 5 NUMERACY SAMPLE TEST ANSWERS
22 6 bags can be bought ($12 ÷ $2).
As each bag contains 6 onions, and
6 × 6 = 36, then 36 onions can be bought for
$12.00.
23 The number line is divided into eighths.
3 is the same as 6 , so the correct arrow is C.
4
8
24 Between 48 and 52 is 50.
253 is about 250.
Matchboxes = 250 ÷ 50
= 25 ÷ 5
=5
Shenelle has bought 5 matchboxes.
The arrow is showing
South-West.
NE
E
W
SW
S
SE
33 The number is 574.
34
8 cubes will have two faces painted.
35 Medicine each day = 3 × 10
= 30
Steve takes 30 mL each day.
Number of days = 330 ÷ 30
= 33 ÷ 3
= 11
The medicine lasts 11 days.
36 2 out of 6 squares are shaded.
This is the same as 1 out of 3.
26 ‘More likely but not certain’ means that
there are more purple marbles than black
marbles (but not all marbles are purple).
This is her bag:
27 20 divided by 3 is 6 and remainder 2. The
school will need 7 cars to transport students.
37 The letter S
38 Fill in the missing lengths.
9 10 10
2 cm
1000
– 350
650
(Not to scale)
2 cm
3 cm
4 cm
5 cm
2 cm
2 cm
29 Carlisle to Sterling is 4 units:
As 4 units = 320
1 unit = 320 ÷ 4
= 80
Now, Welling to Lonsdale is 5 units:
5 units = 80 × 5
= 400
The answer is 400 km.
1 cm
4 cm
39
1 1.2 1.4 1.6 1.8 2
Half-way between 1.2 and 1.4 is 1.3.
40 10 shaded squares out of a total of
20 squares.
Fraction shaded = 10 out of 20
= 1 out of 2
=
133
133
1
2
© Pascal Press ISBN 978 1 74125 360 3
7 cm
Perimeter = 3 + 5 + 2 + 7 + 1 + 4 + 2 + 4 + 2 + 2
= 32
The perimeter is 32 cm.
30 Consider each of the choices.
Chance of selecting red = • 3 out of 9
• 2 out of 8
• 5 out of 11
• 3 out of 5
The best chance is 3 out of 5.
Excel Year 5 NAPLAN*-style Numeracy Tests
NW
4 cubes here
and another
4 at the back
25 Perimeter = 60
Sum of a long and a short side = 30
As 20 + 10 = 30, the long side is 20 cm.
28 1 L = 1000 mL
The jug measures 350 mL.
Remainder = 1000 – 350
= 650
650 mL remains in the carton.
31 4 faces
N
32
Year 5 NumeracY sample test aNswers
year 5 Numeracy Sample Test 2
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
B (Basic level)
C (Basic level)
1062 (Basic level)
A (Basic level)
D (Basic level)
64 (Basic level)
A (Basic level)
D (Basic level)
28 (Basic level)
B (Basic level)
C (Basic level)
C (Basic level)
C (Intermediate level)
A (Intermediate level)
A (Intermediate level)
B (Intermediate level)
C (Intermediate level)
D (Intermediate level)
B (Intermediate level)
Z (Intermediate level)
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
7
Pages 51–61
5 (Intermediate level)
A (Intermediate level)
D (Intermediate level)
C (Intermediate level)
A (Intermediate level)
6 (Intermediate level)
5, 5 (Advanced level)
C (Advanced level)
8 (Basic level)
A (Intermediate level)
B (Advanced level)
B (Advanced level)
1000 (Advanced level)
D (Advanced level)
B (Advanced level)
0.5 (Advanced level)
A (Advanced level)
2.08 m (Adv. level)
D (Advanced level)
15.5 c/L (Adv. level)
8
9
Counting forward by 3s.
As 25 + 3 = 28, the next number will be
28.
10 4 × 6 + 8 = 24 + 8
= 32
Also, 8 × 4 = 32.
The answer is 8 × 4.
11
12 Total cost = 5 × $1 + 2 × $2
= $5 + $4
= $9
The newspaper costs $9.00 per week.
13 The shrub measuring 1800 mm or 1.8 m is
the tallest.
14 Difference = 182 – 138
= 182 – 130 – 8
= 52 – 8
= 44
The difference is 44 kg.
15 7281 ÷ 9 = 809
1
11 12 1
10
2
9
3
8
4
7
There are two 2s on the spinner and only
one of each of the other numbers.
2 is the most likely.
5
7 1
182
– 138
44
6
809
9 7281
)
© Pascal Press ISBN 978 1 74125 360 3
2
A fortnight is 2 weeks.
The Dennings return on 17 July.
3 Next number = 962 + 100
= 1062
The next number is 1062.
4 10 faces
5
6
28 + 36 = 28 + 30 + 6
= 58 + 6
= 64
Excel Year 5 NAPLAN*-style Numeracy Tests
16 Length of rectangle is 9 cm.
Perimeter = 22
Sum of a long side and short side = 11
As 9 + 2 = 11, then the short side is 2 cm.
17 Number of squares: 1, 4, 9, …
These numbers are 1 × 1 = 1, 2 × 2 = 4,
3 × 3 = 9, 4 × 4 = 16, 5 × 5 = 25, 6 × 6 = 36,
7 × 7 = 49, …
There are 49 squares in the seventh shape.
18 175 – 15 = 160.
Half of 160 is 80.
The Swans scored 80 points (and the Hawks
scored 95).
28
+ 36
64
1
134
Year 5 NumeracY sample test aNswers
8
27 Units: 4 + missing number = 9
The missing number is 5.
Tens: 6 + 8 = 14
Hundreds: Missing number + 1 = 6
This missing number is 5.
564 + 85 = 649
Or:
?64
564
+ 8?
+ 85
649
649
28
29
30
31
32
4
7
5
6
25 2 metres = 200 cm
Length = 200 – 35
200
= 200 – 30 – 5
– 35
= 170 – 5
165
= 165
165 cm remain.
26 Martin = 4 × 3
= 12
Martin scored 12.
Nestor = 2 × 3
=6
Nestor scored 6.
Difference = 12 – 6
=6
Martin scored 6 more goals than Nestor.
Excel Year 5 NAPLAN*-style Numeracy Tests
33
34
The missing numbers are 5 and 5.
15 × 4 = 60
The family uses 60 litres of water each
month.
60 L = 60 000 mL
Number of bottles = 60 000 ÷ 600
= 600 ÷ 6
= 100
100 bottles can be filled each month.
Jules scored 8 goals in Game 3.
Number of trays = 168 ÷ 4
42
= 42
4 168
42 trays can be filled.
Between $27 and $32 is $30.
$216 is about $210.
Number in group = 210 ÷ 30
= 21 ÷ 3
=7
7 were in the group.
Chance of a 7 = 2 out of 8
= 1 out of 4
From 3.487 to 3487, the digits do not change.
As 3 × 1000 = 3000, then 3.487 × 1000 = 3487.
James multiplied by 1000.
From 0 to 1 there are 5 sections so each
section is 0.2 so X = 0.6 and Y = 2.2.
The middle is the average.
)
0
1
X
1.4
middle
2
3
Y
Or: Average = (0.6 + 2.2) ÷ 2
= 2.8 ÷ 2
= 1.4
The middle is 1.4
135
135
© Pascal Press ISBN 978 1 74125 360 3
19 By comparing the length of each column
and therefore the number of students you
can see the correct statement is ‘There were
fewer students who like green than students
who like yellow’.
20 Z is opposite the V.
21 18 × ? = 9 × 10
Halve the 18 to get 9.
Double ‘what’ to get 10.
This means that the number is 5.
Or, 9 × 10 = 90.
Then 18 × ‘what number’ is 90.
The number is 5.
22 The front row has 6 cubes.
The second row has 12 cubes.
Total = 6 + 12
= 18
There are 18 cubes in the solid.
23 Tom’s height = 140 cm
Megan’s height = 140 + 30
= 170
(170 cm)
Robyn’s height = 170 – 20
= 150
(150 cm)
Ben’s height = 150 + 10
= 160
Ben is 160 cm tall.
24 The angle is more than 90°
11 12 1
but less than 180°. The
2
10
angle is an obtuse angle.
9
3
YEAR 5 NUMERACY SAMPLE TEST ANSWERS
35
Year 5 Numeracy Sample Test 3
Hudson
Bidwell
Labinot stops at Bidwell.
36 From the grid, 4 units = 2 metres.
This means the scale is 1 unit = 0.5 metre.
37 As 180 × 2 = 360, then the cards must be
8
2
1
0
38 There are 52 weeks in a year.
Length = 52 × 4
= 208
He knits 208 cm, or 2.08 metres in
a year.
39 Hexagonal prism:
• 8 faces
• 18 edges
• 12 vertices
Total = 8 + 18 + 12
= 8 + 12 + 18
= 20 + 18
= 38
40 Difference = 153.9 – 138.4
The difference is 15.5 cents per
litre.
52
× 4
208
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
50 (Basic level)
D (Basic level)
B (Basic level)
33 (Basic level)
D (Basic level)
80 (Basic level)
A (Basic level)
A (Basic level)
A (Basic level)
$7.95 (Basic level)
D (Basic level)
B (Basic level)
851 (Basic level)
D (Intermediate level)
B (Intermediate level)
15 (Basic level)
B (Intermediate level)
D (Intermediate level)
21 (Intermediate level)
B (Intermediate level)
1
The pattern is counting forward by 6.
Next number = 44 + 6
= 50
The next number is 50.
2
A pentagon does not have
parallel sides.
4 13
153.9
– 138.4
15.5
3
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
Pages 62–72
8651 (Advanced level)
A (Intermediate level)
C (Intermediate level)
A (Intermediate level)
B (Intermediate level)
C (Advanced level)
A (Intermediate level)
B (Advanced level)
C (Intermediate level)
A (Advanced level)
8 (Advanced level)
D (Advanced level)
3 (Intermediate level)
D (Intermediate level)
10 (Advanced level)
B (Advanced level)
A (Advanced level)
C (Advanced level)
D (Advanced level)
A (Advanced level)
© Pascal Press ISBN 978 1 74125 360 3
• 37 is closer to 40 than 30
• 42 is closer to 40 than 50
• 73 is closer to 70 than 80
• 58 is closer to 60 than 50
The best estimate is $40 + $40 + $70 + $60.
4 The pattern is counting backwards by 7.
Next number = 40 – 7
= 33
The next number is 33.
5 Quarter past 4 = 4:15.
4:15 plus 10 minutes is 4:25.
The show starts at 4:25.
Excel Year 5 NAPLAN*-style Numeracy Tests
136
YEAR 5 NUMERACY SAMPLE TEST ANSWERS
1
58 + 22 = 58 + 20 + 2
58
= 78 + 2
+ 22
= 80
80
The answer is 80.
7 738 = 700 + 30 + 8
8 There is only one 4. This means that 4 is the
least likely to be chosen.
18 First, 88 – 6 = 82.
Then half of 82 is 41.
This means he ran 41 km in the second
week (and 47 km in the first week).
19 Number = 126 ÷ 6
21
= 21
6 126
21 pizzas were sold.
9
20 The smallest area for
the number 1 is Spinner B.
The smallest angle is
10 Cost = $7.20 + 75c
= $7.95
7.20
+ 0.75
7.95
11 The net of a square
pyramid has one
square and 4 triangles.
This net has 2 squares.
12 From the choices, a handspan is about
20 cm.
13 352 + 499 = 352 + 500 – 1
= 852 – 1
= 851
Number of years
14
5
4
3
2
1
0
Winning Houses
Bradman Jackson Newcombe Perkins
Sporting house
From the table Newcombe has 2, Bradman
2, Jackson 4 and Perkins 4.
The graph is D.
)
3
2
21 The number is 8651.
22 Barb passes Keith’s home.
1
23 A quarter of 2 hours is 2 an hour.
24 Difference = 42 – 26
= 42 – 20 – 6
= 22 – 6
= 16
As half of 16 is 8, then Arwon needs to give
$8 to Liam.
25 The next class is Bodypump.
26 8762 ÷ 100 = 87.62.
The missing number is 100.
27 The length of the bobby pin starts at
20 mm and finishes at 64 mm.
Length = 64 – 20
= 44
The bobby pin is 44 mm long.
28 15 plus 6 lots of 4 cards = 15 + 6 × 4
29 M does not have 2 axes of symmetry.
30 The scale used is 1 cm = 10 metres.
The distance on the map is about 3 cm or
3 lots of 10 m.
As 3 × 10 = 30, the distance is about 30 m.
31 There will be 8 cards turned over:
15, 16, 18, 32, 30, 24, 20 and 28.
32 0.4 could not be written on the card
because it is not between 0.19 and 0.31.
This means
33
=
15 The heights are arranged from lowest to highest.
=
16 15 girls from Year 6 used the internet.
17 $3.95 is about $4.
As 2 × 4 = 8, the peaches cost about $8.
Excel Year 5 NAPLAN*-style Numeracy Tests
1
Need 3 balls.
137
137
© Pascal Press ISBN 978 1 74125 360 3
6
YEAR 5 NUMERACY SAMPLE TEST ANSWERS
34 Each dice has 6 faces. There are 3 oranges
on D (more than on any other die). This
means that D gives the best chance.
Year 5 Numeracy Sample Test 4
35 Three-quarters of 4 is 3.
This means the junior burger costs $3.
Two junior burgers and a double
cheeseburger costs $3 + $3 + $4, which is $10.
36 There are 12 cards. Two cards are yellow.
Chance of choosing yellow = 2 out of 12
= 1 out of 6
37 26.05
= 2 tens + 6 ones + 0 tenths + 5 hundredths
= 2 tens + 6 ones + 5 hundredths
38 Consider each of the choices:
• 8 × 5 = 40
• 6 × 6 = 36
• 7 × 6 = 42
• 12 × 3 = 36
The largest area is 42 cm2.
7 cm
6 cm
has the largest area.
39
Favourite activities
Reading
Beach
Bushwalking
15
About
10
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
22 (Basic level)
C (Basic level)
C (Basic level)
C (Basic level)
C (Basic level)
B (Basic level)
A (Basic level)
D (Basic level)
82 (Basic level)
A (Basic level)
B (Basic level)
D (Basic level)
10 (Intermediate level)
C (Intermediate level)
A (Intermediate level)
B (Intermediate level)
C (Advanced level)
A (Intermediate level)
D (Intermediate level)
8 or 9 (Int. level)
1
19 squares + 6 half-squares = 22
The answer is 22 square units.
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
Pages 73–83
D (Intermediate level)
A (Intermediate level)
C (Intermediate level)
B (Intermediate level)
D (Intermediate level)
8 (Intermediate level)
1020 (Int. level)
B (Intermediate level)
B (Intermediate level)
C (Advanced level)
10 (Advanced level)
3 (Advanced level)
D (Advanced level)
6534 (Advanced level)
24 (Advanced level)
C (Advanced level)
6 and 3 (Adv. level)
B (Advanced level)
1, 1, 1, 2 (Adv. level)
D (Advanced level)
2
30
Movies
40 Length = 28.52 × 1000
= 28 520
The line is 28 520 mm, or 28.52 metres
long.
© Pascal Press ISBN 978 1 74125 360 3
3
4
5
6
7
8
Excel Year 5 NAPLAN*-style Numeracy Tests
138
Difference = 27 – 8
= 19
The difference is 19 emails.
Of the choices the only one that does not
have the same value is:
10 × 5 – 4 = 50 – 4
= 46
A parallelogram is not shown (2 pairs of
parallel sides).
From 3:45 add 30 minutes = 4:15.
The third Saturday is 20 September.
The tennis ball is a sphere.
YEAR 5 NUMERACY SAMPLE TEST ANSWERS
9
47 + 35 = 47 + 30 + 5
47
= 77 + 5
+ 35
= 82
82
10 Adelaide: 17 to 32
Difference = 32 – 17
32
= 32 – 10 – 7
– 17
= 22 – 7
15
= 15
Adelaide has the biggest difference of
15 degrees.
11 The most likely number is 5 (4 times). (All
the other numbers appear only 2 times.)
12
13 75 ÷ 8 = 9 and remainder 3.
This means that at least 10 races are
needed.
14
15 The rectangle is 9 cm long.
Perimeter = 20 cm
Sum of length and width = 10 cm
Length of shorter side = 10 – 9
=1
The shorter side is 1 cm.
16 Use numbers that are close.
As 84 ÷ 12 = 7, then 7 mini-buses are
needed.
=
Aaron saves
18
NW
N
S
1000
22 The face opposite C is A.
23 A is tallest: Gwen has most grandchildren;
B is shortest: Shirley has least
grandchildren; Sophia is taller than Phillipa.
This means C is Phillipa’s column.
24 First, take 6 from 20 is 14.
Now, half 14 is 7.
This means Craig caught 7 fish (and Silas
caught 13 fish).
25 Cubes: 1, 3, 6, …
Continuing the pattern:
1 (then add 2), 3 (add 3), 6 (add 4),
10 (add 5), 15 (add 6), 21, …
The sixth shape will have 21 cubes.
26 6 × 4 = 24
As 24 ÷ 3 = 8, then the missing number is 8.
27 Pattern is counting on by 100.
Next number = 920 + 100
= 1020
The next number is 1020.
28 4005 ÷ 5 = 801
)
29 If four years ago Roger was 38, he must
be 42 now. His daughter is half his age,
which means she is 21 years old.
1
2.
The arrow is showing
North-West.
30
2.31
2.3 2.32 2.34 2.36 2.38 2.4
R
SE
Excel Year 5 NAPLAN*-style Numeracy Tests
500
801
5 4005
36
72
1
2
19 2 kg = 2000 g
Remaining mass = 2000 – 450
= 2000 – 400 – 50
= 1600 – 50
= 1550
1550 grams remain.
D measures about 800 g.
grams
1500
E
W
SW
NE
21
R is pointing to 2.31
–
2000
450
1550
139
139
© Pascal Press ISBN 978 1 74125 360 3
17 Fraction saved =
20 First, > means ‘is greater than’ and
50 – 7 = 43.
Now, 6 times ‘what number’ > 43.
The missing number can be 8 or 9,
as 6 × 8 = 48 and 6 × 9 = 54.
YEAR 5 NUMERACY SAMPLE TEST ANSWERS
31 Wednesday’s push-ups are shown as the
middle section of the bar graphs.
For Lionel, 80 – 50 is 30 push-ups.
For Jeremy, 70 – 30 is 40 push-ups.
As 40 – 30 is 10, then Jeremy
completed 10 more push-ups.
37 Units: 4 plus a number is 7; the number is 3
Tens: Some number plus 5 is 11.
This number is 6.
The missing numbers are 6 and 3.
OR:
3?4
364
+ 5?
+ 53
417
417
32 4 and 8 are on opposite faces.
5 and 7 are on opposite faces.
This means opposite faces add to 12.
The missing number and 9 add to 12.
The missing number is 3.
38 Rachael and Emma are 3 units apart.
3 units = 1.5 km
1 unit = 0.5 km
This means 2.5 km is 5 units apart.
From the map, Phoebe and Joey are 5 units
apart. Joey lives 2.5 km from Phoebe.
39 Total cost of 1 of each item
= $1.20 + 80c + $1.00 + 50c
= $3.50
This means David still has another 50c to
spend. David can buy another packet of
cough lollies. The column will have the
numbers 1, 1, 1, 2.
33 Shaded = 2 out of 8 shapes
= 1 out of 4
34 If it is even, the last digit has to be even.
This means that a 4 is in the last spot.
The rest of the numbers are arranged from
highest to lowest. This means the number
is 6534.
40
35
40
30
DC
M
15
W
25
Milton to Woodnahbah is 15 km.
Sliver to Woodnahbah = 40 – 15
= 25
The answer is 25 km.
• 12 removed from front layer
• 8 removed from second layer
• 4 removed from third layer
Number removed = 12 + 8 + 4
= 24
24 cubes were removed.
© Pascal Press ISBN 978 1 74125 360 3
36 Square pyramid
Excel Year 5 NAPLAN*-style Numeracy Tests
140
S