Mathematics
Stage 6
Paper 2
2024
45 minutes
Additional materials: Calculator
Compasses
Protractor
Tracing paper (optional)
INSTRUCTIONS
• Answer all questions.
• Write your answer to each question in the space provided.
• You should show all your working on the question paper.
• You may use a calculator.
INFORMATION
• The total mark for this paper is 40.
• The number of marks for each question or part question is shown in brackets [ ].
3130_02_7RP
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2
1
Anastasia writes a sequence.
The 1st term in Anastasia’s sequence is 2
The 2nd term is 4
The 3rd term is 6
Write the 8th term in Anastasia’s sequence.
[1]
2
A shopkeeper thinks the number of ice creams she sells changes with the
temperature each day.
She records the number of ice creams she sells and the temperature each day for
one month.
Draw a ring around the most appropriate chart she could use to show her data.
Venn diagram
waffle diagram
scatter graph
pie chart
[1]
3
Here is a triangle with an angle marked a.
a
Measure the size of angle a.
Use a protractor.
degrees [1]
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3
4
Tick () three amounts that are equivalent.
83
83%
100
80%
3.8
38
8.3%
100
8.03
0.83
[1]
5
Yuri has some pots and some seeds.
The ratio of pots to seeds is 1 : 4
He has 6 pots.
Write the number of seeds Yuri has.
seeds [1]
6
Here is part of a sequence.
11
10
9
10
7
10
5
10
The sequence continues in the same way.
Write the next number in the sequence.
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[1]
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4
7
Draw a line to match the name of each 3D shape to the correct sketch of its net.
cuboid
prism
cube
pyramid
Not drawn to scale
[1]
8
Eva wants to find out if older children spend more time doing sport than younger
children.
She writes this questionnaire.
What is your name?
How many hours do you spend doing sport each week?
Tick () one other question that Eva must ask.
What is your favourite sport?
What is your age?
How many brothers and sisters do you have?
What time of day do you do sport?
[1]
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5
9
Here is a triangle drawn on a grid of squares.
Mirror line
Draw the reflection of the triangle in the mirror line.
[1]
10 Draw a line to match each number to the correct statement.
71.153
The 3 represents 3 thousands
322.784
The 3 represents 3 thousandths
1352.4
The 3 represents 3 hundreds
41.031
The 3 represents 3 hundredths
[2]
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6
11 Carlos rolls a fair six-sided dice.
Carlos says,
‘I am less likely to roll a 6 than any of the other numbers on the dice.’
Explain why Carlos is wrong.
[1]
12 An arrow is drawn on a grid of squares.
The arrow is rotated 90 degrees clockwise around the point marked with a dot.
Draw the new position of the arrow after the rotation.
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[1]
7
13 Here is a circle drawn inside a square.
Here are some words.
centre
radius
diameter
Use two of the words to complete these sentences.
The
of the circle is the same length as the side of the square.
The
of the square and the circle are the same.
[1]
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8
14 Here is a coordinate grid.
Points A, B and C are marked on the grid.
y
5
4
3
A
2
B
1
–5 –4 –3 –2 –1 0
–1
1
2
C
3
4
5
x
–2
–3
–4
–5
Points A, B, C and D are the vertices of a square.
Write the coordinates of point D.
D=(
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,
) [1]
9
15 The table shows information about the sequence of square numbers.
Term
Model
Expression Calculation Square
number
1st
12
1×1
1
2nd
22
2×2
4
3rd
32
3×3
9
4th
(a) Complete the table for the 4th term.
[1]
(b) Complete the sentence.
The model with exactly 81 dots will be the
th term. [1]
16 Complete each box to make the statements correct.
1
5
<
<
4
5
0.4
>
>
1
4
[2]
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10
17 Rajiv has a bag containing 10 beads.
He picks one bead at random and records the colour.
He returns the bead to the bag.
He does this 100 times.
Here are his results.
Colour of bead
black
Colour
of beads
white
red
yellow
0
5
10 15 20 25 30 35 40
Frequency
Here is a table showing the colours of the beads in four bags.
Bag A
Bag B
Bag C
Bag D
Black
White
Red
Yellow
Write the letter of the bag that is most likely to be Rajiv's bag of beads.
[1]
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11
18 Youssef wants to know the distance each of his teachers travel to school.
Here is the data he collects.
Distance travelled
in kilometres
8
35
15
50
10
2
(a) Calculate the range of his data.
kilometres [1]
(b) Calculate the mean of his data.
kilometres [1]
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12
19 The table shows information about the highest and lowest temperatures recorded
in Ottawa in 2021.
Month
Highest temperature Lowest temperature
January
–5°
–14°
February
–3°
–10°
March
2°
–7°
April
11°
1°
May
19°
8°
June
24°
12°
Write the names of the two months which have the same difference between their
highest and lowest temperatures.
and
[1]
20 Mia has a 5 kilogram bag of potatoes.
She uses 1 kilogram of the potatoes.
Write the percentage of the bag of potatoes that is left.
% [1]
21 Jamila builds a fence using some pieces of wood.
The length of each piece of wood is 5 metres.
5 metres
Jamila uses 1
1
pieces of wood to build her fence.
4
Calculate the total length of wood she uses to build her fence.
metres [1]
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13
22 A cube has a surface area of 96 cm2.
Write the area of one face of the cube.
cm2 [1]
23 Angelique writes a number between 1270 and 1280
When her number is divided by 8, there is a remainder of 4
Write Angelique's number.
[1]
24 Mike packs some books into 3 boxes.
Each book has a mass of 542 grams.
He packs 24 books in each box.
Mike estimates the total mass of his books.
Write a number in the box to complete the calculation Mike could use to
estimate the total mass of his books.
25 × 3 ×
[1]
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14
25 Naomi writes part of a sequence.
4,
7,
10,
13,
…
The sequence continues in the same way.
Naomi says,
‘I can only find the 10th term in the sequence by counting on in 3s.’
Naomi is wrong.
Write a calculation to show Naomi how to find the 10th term without counting on
in 3s.
[1]
26 Here is a jug.
500
ml
400
300
200
100
0
Safia wants to pour 1000 ml of water into the jug.
Explain why this is not possible.
Use the words volume and capacity in your answer.
[1]
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15
27 Hassan chooses two different numbers.
Hassan says,
9 is a common factor of both my numbers
and
1458 is a common multiple of both my numbers.
My numbers are not 9 or 1458
Write two numbers that Hassan could choose.
and
[1]
28 Here is a picture of a spinner.
Pierre spins the spinner once.
Tick () to show if the pairs of events about the spinner are mutually exclusive or
not mutually exclusive.
Pairs of events about the spinner
Mutually
exclusive
Not mutually
exclusive
It lands on a black shape and it lands on a white
shape.
It lands on a black shape and it lands on a
square.
It lands on a black shape and it lands on a
heart.
It lands on a black shape and it lands on a grey
shape.
[1]
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16
29 Ahmed counts the types of vehicles that pass his school on one day.
He records the data on a waffle diagram.
Vehicles
Key
Type of
vehicle
car
van
bus
bicycle
lorry
(a) Draw a ring around the pie chart that shows the same information as the waffle
diagram.
[1]
(b) Ahmed says,
‘If we count for half an hour, instead of one day, the waffle diagram
will be the same.’
Explain why Ahmed could be wrong.
[1]
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17
30 Here is a right-angled triangle.
Not drawn to scale
aº
The triangle is cut into two smaller right-angled triangles.
Not drawn to scale
15º
aº
Calculate the size of angle a.
Show your working.
° [2]
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18
31 Here are five cards.
and
each represent a different number on the cards.
The sum of all five numbers on the cards is 14
Write a pair of possible values for
and
=
and
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=
[1]
19
32 A square is touching a straight line.
a
b
Write a pair of possible values for a and b.
a=
°
b=
°
[1]
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20
33 An isosceles triangle with vertices A, B and C is drawn on a coordinate grid.
y
5
4
B
3
2
A
C
1
–5 –4 –3 –2 –1 0
–1
1
2
3
4
5
x
–2
–3
–4
–5
The triangle is translated.
 1 
The coordinates of point B after the translation are  1 , 0  .
 2 
Write a complete description of the translation.
[2]
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