1 hour
30 minutes
Ch 1
Mathematics
80 marks
Foundation
Set A Paper 1: Non-Calculator
Name ______________________________________
______________________________________
Class
_________
Date
______________________
Materials
For this paper you must have:
 mathematical instruments
You may not use a calculator.
Instructions
 Use black or blue ink or ball-point pen. Draw diagrams in
pencil.
 Answer all the questions.
 Do all rough work in on this paper. Cross through any
work that you do not want to be marked.
 In all calculations, show clearly how you work out your
answer.
Information
 The maximum mark for this paper is 80.
 The marks for each question are shown in brackets [ ].
- Use this as a guide as to how much time to spend
on each question.
Advice
 Read each question carefully before you start to answer it.
 Keep an eye on the time.
 Try to answer every question.
 Check your answers if you have time at the end.
© Oxford University Press 2015
Acknowledgements: www.oxfordsecondary.co.uk/acknowledgements
Test A
Question
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
Total
Mark
Paper 1 – Non-calculator Paper
1
Circle the expression that simplifies to cd.
c÷d
c+d
d×c
d÷c
[1 mark]
2
How many millilitres are there in 3.2 litres?
____________________
[1 mark]
3
Circle the word that describes the shaded part of this circle.
sector
radius
segment
chord
[1 mark]
4
Insert one of these signs >, < or = in each space to make a true statement.
a
0.2________0.02
[1 mark]
b
– 4 ________– 1
[1 mark]
© Oxford University Press 2015
Acknowledgements: www.oxfordsecondary.co.uk/acknowledgements
Paper 1 – Non-calculator Paper
5
Write
2
as a decimal.
5
____________________
[1 mark]
6
PQRSTU is an irregular hexagon.
PQ = TS and QR = RS = TU = UP
P
Q
U
R
T
S
a
On the diagram, draw all the lines of symmetry of hexagon PQRSTU.
b
What is the order of rotational symmetry of this hexagon?
____________________
© Oxford University Press 2015
Acknowledgements: www.oxfordsecondary.co.uk/acknowledgements
Paper 1 – Non-calculator Paper
[1 mark]
[1 mark]
7
What is the ratio 4 : 10 in the form 1 : n?
____________________
[1 mark]
8
Circle the number that is square, even and a multiple of 6.
16
36
25
30
[1 mark]
9
Bag A contains 3 blue, 2 green and 5 red balls.
Bag B contains 5 blue, 5 green and 10 red balls.
Alice can choose to pick a ball at random from either bag A or bag B.
Is she more likely to get a blue ball from bag A or bag B?
Give a reason for your answer.
____________________________________________________________________
____________________________________________________________________
[3 marks]
© Oxford University Press 2015
Acknowledgements: www.oxfordsecondary.co.uk/acknowledgements
Paper 1 – Non-calculator Paper
10 List all the factors of 40.
____________________________________________________________________
[2 marks]
11 The length of a swimming pool is 50 metres.
Jane swims 24 lengths of the pool.
How far does she swim? Give your answer in kilometres.
____________________
[2 marks]
© Oxford University Press 2015
Acknowledgements: www.oxfordsecondary.co.uk/acknowledgements
Paper 1 – Non-calculator Paper
12 In one hospital in May
 Exactly half of the 220 babies born were boys.
 65 of the babies weighed 4 kg or more.
 85 baby girls weighed less than 4 kg.
Complete the table to show this information.
Masses of babies born in May
[2 marks]
13 This triangle has angles x°, 2x° and 78°.
78°
x°
2x°
Work out the value of x.
____________________
[3 marks]
© Oxford University Press 2015
Acknowledgements: www.oxfordsecondary.co.uk/acknowledgements
Paper 1 – Non-calculator Paper
14 Convert these areas to the units given.
a
300 mm2 to cm2
____________________
b
5 m2 to cm2
____________________
c
[1 mark]
250 000 m2 to km2
____________________
d
[1 mark]
[1 mark]
0.3 m2 to mm2
____________________
© Oxford University Press 2015
Acknowledgements: www.oxfordsecondary.co.uk/acknowledgements
Paper 1 – Non-calculator Paper
[1 mark]
15 The diagrams show the plan, front elevation and side elevation of an L-shaped prism.
They are not drawn full-size.
The prism is made from 1 cm cubes.
Work out the volume of the prism.
Plan
Front elevation
Side elevation
____________________
[4 marks]
16 Write down the value of 25.
____________________
[1 mark]
© Oxford University Press 2015
Acknowledgements: www.oxfordsecondary.co.uk/acknowledgements
Paper 1 – Non-calculator Paper
17 In a lemon cordial drink, water is mixed with lemon juice in the ratio
water : lemon juice = 4 : 1.
a
What percentage of the cordial drink is lemon juice?
[2 marks]
____________________
b
How much lemon juice is mixed with 2 litres of water?
____________________
[1 mark]
18 Jamie says that y = 3, x = 4, y = 2x – 1 are all straight lines but that y = 2x2 is not.
5Is Jamie right? Give a reason for your answer.
____________________________________________________________________
____________________________________________________________________
____________________________________________________________________
[1 mark]
© Oxford University Press 2015
Acknowledgements: www.oxfordsecondary.co.uk/acknowledgements
Paper 1 – Non-calculator Paper
19 Circle the scale factor of the enlargement that takes shape A to shape B.
2
1
2
1
3
3
[1 mark]
20 The diagram shows a right-angled isosceles triangle ABC.
AC = BC = 7 cm
Angle ACB = 90°
A
Show that AB is approximately 10 cm.
7 cm
B
7 cm
C
____________________________________________________________________
____________________________________________________________________
____________________________________________________________________
[3 marks]
© Oxford University Press 2015
Acknowledgements: www.oxfordsecondary.co.uk/acknowledgements
Paper 1 – Non-calculator Paper
21 The heights in centimetres of 30 plants were measured 6 weeks after planting.
The results are shown in the table.
a
Draw a grouped frequency diagram to represent this information.
[3 marks]
© Oxford University Press 2015
Acknowledgements: www.oxfordsecondary.co.uk/acknowledgements
Paper 1 – Non-calculator Paper
b
The heights in centimetres of 30 different plants were measured 6 weeks after
planting. This grouped frequency diagram shows the results.
Complete the table below for this grouped frequency diagram.
Height (cm)
Frequency
5 ≤ h < 10
8
15 ≤ h < 20
20 ≤ h < 25
[2 marks]
c
Using the frequency diagrams from parts a and b, do you think these two
samples are the same species of plant? Give a reason for your answer.
____________________________________________________________________
____________________________________________________________________
____________________________________________________________________
© Oxford University Press 2015
Acknowledgements: www.oxfordsecondary.co.uk/acknowledgements
Paper 1 – Non-calculator Paper
[1 mark]
22 Complete these calculations.
[1 mark]
a
b
[1 mark]
23 Expand and simplify
2(2x + 4) + 4(3x + 2)
____________________
[1 mark]
© Oxford University Press 2015
Acknowledgements: www.oxfordsecondary.co.uk/acknowledgements
Paper 1 – Non-calculator Paper
24 Ellie and Jaffar both worked out 3 + 5
16
8
3
Ellie
Jaffar
3
16
5
+8=
3
16
5
24+80
104
128
= 128
3
10
13
+ 8 = 16 + 16 = 16
Comment on their work.
____________________________________________________________________
____________________________________________________________________
____________________________________________________________________
25 Investigators test three coins for bias.
They flip each coin several times and put
their results in this table.
List the coins in order of bias, with the
least biased first, giving a reason for each.
Coin
A
B
C
Number of
heads
16
18
80
[2 marks]
Number of
tails
24
22
120
____________________________________________________________________
____________________________________________________________________
© Oxford University Press 2015
Acknowledgements: www.oxfordsecondary.co.uk/acknowledgements
[4 marks]
Paper 1 – Non-calculator Paper
26 For a scatter graph with a line of best fit explain the meaning of these terms and
comment on the reliability of each technique.
a
Interpolation.
____________________________________________________________________
____________________________________________________________________
____________________________________________________________________
____________________________________________________________________
____________________________________________________________________
b
[2 marks]
Extrapolation.
____________________________________________________________________
____________________________________________________________________
____________________________________________________________________
____________________________________________________________________
____________________________________________________________________
© Oxford University Press 2015
Acknowledgements: www.oxfordsecondary.co.uk/acknowledgements
[2 marks]
Paper 1 – Non-calculator Paper
27 The nth term of a sequence is 4n – 3.
a
Is 75 a term of this sequence? Give a reason for your answer.
__________________because____________________________________________
____________________________________________________________________
b
[2 marks]
Write an expression for the (n + 1)th term of this sequence.
[1 mark]
____________________
c
Write an expression for the sum of the nth and (n + 1)th terms
[1 mark]
____________________
d
The sum of two consecutive numbers in the sequence is 326.
Work out the smaller of these numbers.
____________________
© Oxford University Press 2015
Acknowledgements: www.oxfordsecondary.co.uk/acknowledgements
[2 marks]
Paper 1 – Non-calculator Paper
28 Two triangles are shown on the grid.
a
Write down the column vector for the translation that moves triangle P to
triangle Q.
[1 mark]
____________________
b
Translate triangle Q using the vector (−4
).
−7
Label your new triangle R.
c
Write down the vector for the single translation that moves triangle P to
triangle R.
[2 marks]
____________________
d
[1 mark]
Show the connection between the vectors in parts a and b and your answer to
part c.
____________________________________________________________________
© Oxford University Press 2015
Acknowledgements: www.oxfordsecondary.co.uk/acknowledgements
Paper 1 – Non-calculator Paper
[1 mark]
29 A formula for converting degrees Fahrenheit, F, into degrees Celsius, C, is
𝐶=
a
b
5(𝐹 − 32)
9
Use this formula to convert 59 °F into °C.
____________________
[2 marks]
____________________
[2 marks]
Rearrange the formula to make F the subject.
30 When two ordinary coins are spun the only possible outcomes are two heads, two
tails or one head and one tail
a
Explain why the probability of each outcome is not
1
.
3
____________________________________________________________________
____________________________________________________________________
____________________________________________________________________
____________________________________________________________________
b
[2 marks]
What is the probability of getting two heads?
____________________
© Oxford University Press 2015
Acknowledgements: www.oxfordsecondary.co.uk/acknowledgements
Paper 1 – Non-calculator Paper
[1 mark]
31 For this calculation
(3 × 106) × (2 × 103) = 6 × 10n
Sue says n = 9.
Is she correct? Give a reason for your answer.
____________________ because_______________________________________________
__________________________________________________________________________
[2 marks]
32 The graph shows the height in metres, h, of a ball thrown into the air against time, t,
seconds.
a
What is the maximum height of the ball?
____________________
b
[1 mark]
For how long was the ball in the air?
____________________
[1 mark]
Total for paper is 80 marks
© Oxford University Press 2015
Acknowledgements: www.oxfordsecondary.co.uk/acknowledgements
Paper 1 – Non-calculator Paper