Mathematics
Stage 6
Paper 1
2023
45 minutes
Additional materials: 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 are not allowed to 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 [ ].
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2
1
Draw lines to join 10.56 to all the equivalent values.
105 tenths and 6 hundredths
10 ones and 56 tenths
10.56
1 ten and 56 hundredths
156 hundredths
[1]
2
Write 4
4
in its simplest form.
20
[1]
3
Calculate the area of the right-angled triangle.
8 cm
3 cm
Not drawn
to scale
cm2 [1]
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3
4
Write the numbers in order of size, starting with the smallest.
3.15
2.98
3.04
3.31
smallest
largest
[1]
5
Here is part of a sequence.
Write the missing numbers in the boxes.
+ 0.25
+ 0.25
1.12
+ 0.25
1.37
[2]
6
Anastasia chooses a number with exactly two decimal places.
She rounds it to the nearest tenth.
Her answer is 7.0
Write a number that Anastasia could choose.
.
[1]
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4
7
Gabriella counts on in 6s starting at 6
She records some of the numbers in a position-to-term table.
Position
1
2
3
Term
6
12
18
9
720
Complete the table.
[2]
8
Calculate.
65 ÷ 3
Write your answer as a mixed number.
[1]
9
Youssef thinks that the most common colour for a front door is white.
He collects data for front doors on his walk to school.
Here are his results.
Front door
colour
Green
Frequency
7
Red
5
White
8
Blue
6
Black
6
Other
3
He wants to represent his data using a diagram.
Draw a ring around the most appropriate diagram for his data.
Venn diagram
scatter graph
bar chart
line graph
[1]
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10 Hassan and his father visit the zoo.
His father is 1.88 metres tall.
(a) The giraffe is 3 times taller than Hassan’s father.
Not drawn
to scale
Write the height of the giraffe.
m [1]
(b) His father is 4 times taller than the penguin.
Not drawn
to scale
Write the height of the penguin.
m [1]
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6
11 Here are four calculations.
Estimate the answers to the calculations.
Draw a ring around the calculation which gives the largest answer.
3421× 6
234 × 40
1234 × 7
4321 × 4
[1]
12 Carlos rolls a fair six-sided dice numbered 1 to 6
Tick () to show if the pairs of outcomes are mutually exclusive or not
mutually exclusive.
Mutually
exclusive
Pairs of outcomes
Not
mutually
exclusive
Roll a number that is divisible by 2
and
Roll a number that is divisible by 3
Roll a number that is divisible by 2
and
Roll a number that is a multiple of 5
Roll a number that is divisible by 2
and
Roll a number that is a multiple of 4
Roll a number that is divisible by 2
and
Roll a square number
[2]
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13 Draw accurately the set of points exactly 5 cm from point A.
. A
[1]
14 Here is a diagram made of nine rectangles.
Shade three rectangles so that the shape has exactly two lines of symmetry.
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[1]
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8
15 Samira is playing a board game.
She rolls a fair six-sided dice numbered 1 to 6
She wants to find how many times she is likely to roll the dice before she gets a 6
She uses a computer simulation to roll a dice 100 times.
Here are her results.
Number of rolls to get a 6
Frequency
1
16
2
14
3
13
4
9
more than 4
48
Complete each sentence with the correct number.
rolls approximately 1 out
Samira is likely to get a 6 after
of 10 times.
There is approximately a
the dice more than 4 times to get a 6
% chance that Samira will roll
[2]
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16 Yuri says,
A fraction of 20 is always smaller than 20
Write a number in each box to show that Yuri is wrong.
of 20 =
[1]
17 Here is a coordinate grid.
Points A and B are marked on the grid.
y
A (5, 5)
B
Not drawn
to scale
x
0
Eva says, ‘The coordinates of point B could be (5, 4).’
Lily says, ‘The coordinates of point B could be (4, 5).’
Naomi says, ‘The coordinates of point B could be (4, 4).’
Draw a ring around the name of the person who is correct.
Eva
Lily
Naomi
Explain how you know.
[1]
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18 Chickens start to lay eggs when they are about 18 months old.
Safia says, ‘Chickens lay fewer eggs as they get older.’
Plot seven crosses on the graph that would support her statement.
7
Number of eggs
chickens lay each week
6
5
Number
of eggs
4
3
2
1
0
1
2
3
4
5
Age of chicken
in years
[1]
19 Jamila says,
The capacity of a jug could be greater than
the volume of water in the jug.
Jamila is correct.
Explain how you know.
Use the words capacity and volume in your answer.
[1]
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20 Ahmed estimates that it will take 1
1
hours to travel to his grandparents’ house.
2
His journey takes 1.7 hours.
Work out, in minutes, how much longer his journey takes than his estimate.
minutes [1]
21 Here are four number cards.
2
6
10
20
Use three cards to complete a calculation that will give the lowest answer.
–
+
[1]
22 Rajiv writes the sequence of square numbers.
He adds 5 to each square number to make a new sequence.
Here are the first three terms of his new sequence.
6, 9, 14, …
Write the 6th term of his new sequence.
[1]
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12
23 Here is a sketch of a cuboid.
8 cm
2 cm
Not drawn
to scale
5 cm
Here is a net of the same cuboid.
8 cm
5 cm
12 cm
a
Not drawn
to scale
(a) Calculate the length represented by a.
a=
cm [1]
(b) Calculate the surface area of the cuboid.
cm2 [2]
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24 Chen has four digit cards.
1
2
3
4
He uses three of these cards to make a 3-digit number that is divisible by 3
Write a number Chen could make.
[1]
25 A bag contains only red and blue beads.
40% of the beads are red.
Complete the following sentences using single digit numbers.
in every
For every
beads are red.
red beads there are
blue beads.
[2]
26 Write a number in the box to make the statement correct.
14.6 –
= 3.907
[1]
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27 Oliver and Mike each place some apples and oranges into the same bowl.
The ratio of apples to oranges Oliver places in the bowl is 2 : 3
The ratio of apples to oranges Mike places in the bowl is 1 : 2
They each place 6 oranges in the bowl.
Write the total number of apples and oranges they place in the bowl.
[2]
28 Five children each score a mark on a spelling test.
Mode, median and mean are all types of average.
The average of our marks is 7
The average of our marks is 8
The average of our marks is 9
The total of our marks is 35
The lowest mark is 2
All five children are correct.
Write the five marks the children score.
[2]
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29 Here is a diagram of two angles.
a°
b°
Not drawn
to scale
a is an obtuse angle.
The value of b is a multiple of 10
Write the largest value of b.
[1]
30 Mia writes a sequence by adding a whole number to the previous term.
The first term in her sequence is 10
The final term in her sequence is 30
Tick (✓) all the correct statements.
30 could be the 4th term
30 could be the 5th term
30 could be the 6th term
30 could be the 7th term
[1]
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