Mathematics
Stage 7
Paper 2
1 hour
Additional materials: Calculator
Geometrical instruments
Tracing paper (optional)
INSTRUCTIONS
• Answer all questions.
• Write your answers 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 50.
• The number of marks for each question or part question is shown in brackets [ ].
2026
2
1
A fair spinner has a blue section, a white section, a red section and a yellow section.
Draw a ring around each of the three values that correctly represent the probability of the
spinner landing on blue.
1:4
0.25
1 in 4
1
4
25%
[1]
2
Write a value to complete each statement.
362 =
3
1728 =
[2]
3
Simplify these expressions using correct algebraic notation.
a÷b
d+d+d
[2]
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3
4
Here is a function machine.
input
÷3
output
(a) Find the output when the input is 27
[1]
(b) Find the input when the output is 5
[1]
5
Insert one pair of brackets to make this calculation correct.
24 ÷ 2 + 4 = 4
[1]
6
A bag contains 3 pink discs, 4 orange discs and 5 black discs only.
A disc is chosen at random from the bag.
Complete these sentences.
The probability that the disc is black is
.
The probability that the disc is white is
.
[2]
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4
7
Write each ratio in its simplest form.
10 : 55
:
0.3 kg : 2 kg
:
[2]
8
Find the value of 5a + 2 when a = 7.1
[1]
9
Find the lowest common multiple (LCM) of 10 and 15
[1]
10 Explain how a diameter of a circle is different to a chord of a circle.
[1]
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5
11 Solve these equations.
3x = 42
x=
5y + 18 = –3
y=
[3]
12 The diagram shows a kite.
not to scale
42°
x°
y°
126°
Find the value of x and the value of y.
x=
y=
[3]
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6
13 Find 400% of 30
[1]
14 The cost of a magazine is $x.
The cost of a book is $y.
y = 2x
(a) Explain what y = 2x means about the cost of a book.
[1]
(b) The cost of a calculator is $z.
The calculator costs $6.50 more than the book.
Write an equation for z in terms of y.
z=
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[1]
7
15 A cuboid has a length of 10 cm, a width of 4 cm and a height of 3 cm.
(a) Calculate the volume of the cuboid.
cm3 [1]
(b) Calculate the total surface area of the cuboid.
cm2 [2]
16 (a) Show that 8 is a cube number.
[1]
(b) Jamila says,
‘The sum of the first four cube numbers is equal to a square number.’
Show that Jamila is correct.
[2]
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8
17 Use one of the symbols = , > , < in each of the statements.
You may use a symbol more than once.
79%
0.709
3
8
0.4
71%
5
7
[2]
18 A class of 20 pupils each think of a decimal number between 0 and 1
The table shows the results.
decimal
number
0.2
frequency
4
0.3
8
0.4
7
0.8
1
(a) Find the mean decimal number.
[2]
(b) Find the range of the decimal numbers.
[1]
© Cambridge University Press & Assessment 2026
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9
19 The diagram shows a cylinder with a radius of 3 cm and a height of 4 cm.
3 cm
not to scale
4 cm
(a) On the grid of 1 cm squares, draw accurately the top view of the cylinder.
[2]
(b) On the grid of 1 cm squares, draw accurately the side view of the cylinder.
[2]
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10
20 Pierre plots point A (3, 7) and point B (–1, 7) on a grid of 1 cm squares.
(a) Find the distance between point A and point B.
cm [1]
(b) Pierre plots point C on the same grid.
The distance from point B to point C is 8 cm.
Point C has integer coordinates.
One possible position for point C is (–1, 15).
Find the three other possible coordinates for point C.
(
,
)
(
,
)
(
,
)
[2]
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11
21 Write 5.9951 correct to two decimal places.
[1]
22
10.3 ˂ y ˂ 10
3
8
Write a possible value for y.
Give your answer as a mixed number.
y=
[2]
23 A family has four children.
• Their mean age is 7.5
• The range of their ages is 7
• The youngest child is 5
• There is no mode.
Write the ages of the four children.
[3]
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12
24 Ahmed makes a sequence by subtracting
3
each time to get the next number in
5
the sequence.
The first number in the sequence is 8
(a) Find the next whole number in this sequence.
[1]
(b) Draw a ring around each of the numbers that will be in Ahmed’s sequence.
1
2
5
–2
–4
–8
[1]
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