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Mathematics
Stage 9

Paper 1 2020
Cambridge Lower Secondary Progression Test
Mark Scheme

3143_01_MS_7RP
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S9/01 Mathematics Stage 9 Paper 1 Mark Scheme 2025

General guidance on marking

Difference in printing

It is suggested that schools check their printed copies for differences in printing that may affect the answers to
the questions, for example in measurement questions.

Square brackets in mark scheme

When square brackets appear in the mark scheme this indicates extra information that is not required but may be
given.

For example:

Question Answer Mark Part marks Guidance

5 19.7 or 19.6[58…] 1

This means that 19.6 is an acceptable truncated answer even though it is not the correct rounded answer.

The … means you can ignore any numbers that follow this; you do not need to check them.

Accept
• any correct rounding of the numbers in the brackets, e.g. 19.66
• truncations beyond the brackets, e.g. 19.65

Do not accept
• 19.68 (since the numbers in brackets do not have to be present but if they are they should be correct).

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S9/01 Mathematics Stage 9 Paper 1 Mark Scheme 2025

These tables give general guidelines on marking learner responses that are not specifically mentioned in the
mark scheme. Any guidance specifically given in the mark scheme supersedes this guidance.

Number and place value

The table shows various general rules in terms of acceptable decimal answers.

Accept

Accept omission of leading zero if answer is clearly shown, e.g.

.675

Accept trailing zeros, unless the question has asked for a specific number of decimal places or significant
figures, e.g.
0.7000

Accept a comma as a decimal point if that is the convention that you have taught the learners, e.g. 0,638

Units

For questions involving quantities, e.g. length, mass, money, duration or time, correct units must be given in the
answer. Units are provided on the answer line unless finding the units is part of what is being assessed.

The table shows acceptable and unacceptable versions of the answer 1.85 m.

Accept Do not accept

If the unit is given on the answer Correct conversions, provided the ......185...... m
line, e.g. unit is stated unambiguously, ......1850...... m etc.
............................ m e.g. ......185 cm...... m (this is
unambiguous since the unit cm
comes straight after the
answer, voiding the m which is
now not next to the answer)

If the question states the unit that 1.85 185; 1850

the answer should be 1 m 85 cm Any conversions to other units,
given in, e.g. ‘Give your answer in e.g. 185 cm
metres’

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S9/01 Mathematics Stage 9 Paper 1 Mark Scheme 2025

Money

In addition to the rules for units, the table below gives guidance for answers involving money. The table shows
acceptable and unacceptable versions of the answer $0.30

Accept Do not accept

If the amount is in dollars and $0.30 $0.3

cents, the answer should be given
to two decimal places For an integer number of dollars it $09 or $09.00
is acceptable not to give any
decimal places, e.g.
$9 or $9.00

If units are not given on the Any unambiguous indication of 30 or 0.30 without a unit
answer line the correct amount, e.g.
30 cents; 30 c $30; 0.30 cents
$0.30; $0–30; $0=30; $00:30
Ambiguous answers, e.g.
$30 cents; $0.30 c; $0.30 cents (as
you do not know which unit
applies because there are units
either side of the number)

If $ is shown on the answer line All unambiguous indications, e.g. $......30......

$......0.30......;
$......0-30......; Ambiguous answers, e.g.
$......0=30......; $......30 cents......;
$......00:30...... $......0.30 cents......
unless units on the answer line
have been deleted, e.g.
$......30 cents......

If cents is shown on the answer ......30......cents ......0.30......cents

line
Ambiguous answers, e.g.
......$30 ......cents;
......$0.30 ......cents
unless units on the answer line
have been deleted, e.g.
......$0.30......cents

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S9/01 Mathematics Stage 9 Paper 1 Mark Scheme 2025

Duration

In addition to the rules for units, the table below gives guidance for answers involving time durations. The table
shows acceptable and unacceptable versions of the answer 2 hours and 30 minutes.

Accept Do not accept

Any unambiguous indication using any reasonable Incorrect or ambiguous formats, e.g.
abbreviations of hours (h, hr, hrs), minutes (m, min, 2.30; 2.3; 2.30 hours; 2.30 min; 2 h 3;
mins) and seconds (s, sec, secs), e.g. 2.3 h (this is because this indicates 0.3 of
2 hours 30 minutes; 2 h 30 m; 02 h 30 m an hour (i.e.18 minutes) rather than 30 minutes)

Any correct conversion with appropriate units, e.g. 02:30 (as this is a 24-hour clock time, not a time
2.5 hours; 150 mins interval)
unless the question specifically asks for time given in
hours and minutes 2.5; 150

Time

The table below gives guidance for answers involving time.

The table shows acceptable and unacceptable versions of the answer 07:30

Accept Do not accept

If the answer is required in Any unambiguous indication 7:30

24-hour format of correct answer in numbers, 7:30 am
words or a combination of the two, 7 h 30 m
e.g. 7:3
07:30 with any separator in place 730
of the colon, e.g. 7.30 pm
07 30; 07,30; 07-30; 0730 073
07.3

If the answer is required in Any unambiguous indication Absence of am or pm

12-hour format of correct answer in numbers, 1930 am
words or a combination of the two, 7 h 30 m
e.g. 7:3
7:30 am with any separator in 730
place of the colon, e.g. 7.30 pm
7 30 am; 7.30 am; 7-30 am

7.30 in the morning

Half past seven (o’clock) in the

morning

Accept am or a.m.

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S9/01 Mathematics Stage 9 Paper 1 Mark Scheme 2025

Algebra

The table shows acceptable and unacceptable versions of the answer 3x – 2

Accept Do not accept

x3 – 2; 3 × x – 2 3x + –2 if it is supposed to be in simplest form

Case change in letters

Changes in letters as long as there is no

ambiguity

Accept extra brackets when factorising, e.g. 5(x + (3 + y))

Teachers must mark the final answer given. If a correct answer is seen in working but final answer is given
incorrectly then the final answer must be marked. If no answer is given on the answer line then the final line of
the working can be taken to be the final answer.

Inequalities

The table shows acceptable and unacceptable versions of various answers.

For the following Accept Do not accept

For 6 ≤ x < 8 [6, 8) <x<

For x ≤ –2 (–∞,–2] x < –2

(3, ∞) Just ‘3’ written on the answer line, even if x > 3

For x > 3
3<x appears in the working

Plotting points

The table shows acceptable and unacceptable ways to plot points.

Accept Do not accept

1
Crosses or dots plotted within ± square of the A horizontal line and vertical line from the axes
2
correct answer meeting at the required point

The graph line passing through a point implies the

point even though there is no cross

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S9/01 Mathematics Stage 9 Paper 1 Mark Scheme 2025

Question Answer Marks Part Marks Guidance

1 (Largest =) 3.2 × 106 2 Award 1 mark for each correct answer.

(Smallest =) 5.0 × 10–8

2 128 GB 1 Accept any clear indication.

3 Any two pairs of numbers such that p + q = 2 2 Award 1 mark for each correct pair. Accept fractional, decimal or negative
e.g. two from numbers, e.g.
(p =) 1 and (q =) 1 (p =) 0.5 and (q =) 1.5
(p =) 0 and (q =) 2 (p =) 3 and (q =) –1
(p =) 2 and (q =) 0

4(a) 148 1

4(b) n2 + 6 1 Accept equivalent answers, e.g. n2 + 4 + 2

5 5 and π 1 Both answers correct for the mark.

Accept any clear indication.

6(a) Two correct entries in the table. 1 Both answers correct in the correct spaces
for the mark.
(A) (120°) 60(°)

(B) 108(°) (72°)

6(b) The interior angle [of polygon A] is a factor of 1 Accept any equivalent answer, e.g. 120°
360°. divides exactly into 360°.

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S9/01 Mathematics Stage 9 Paper 1 Mark Scheme 2025

Question Answer Marks Part Marks Guidance

7 (b = ) [±] a+4 2 Award 1 mark for correct first step

a + 4 = b2
or
for correct answer followed by incorrect
subsequent working.

8 (0, 3) 1 Accept any clear indication.

9 1 Both answers correct for the mark.

True False
Accept any clear indication.


10(a) Five correct probabilities correctly placed on 2 Award 1 mark for at least one correct Accept equivalent fractions, decimals or
tree diagram probability correctly placed. percentages.
3 2 3 2 3
, , , ,
4 5 5 5 5

10(b) 9 2 3 3 Accept equivalent fractions, decimals or

Award 1 mark for × percentages.
20 4 5
3 3 3 3
For 1 mark, their and their must be
or for their × their 4 5
4 5
between 0 and 1

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S9/01 Mathematics Stage 9 Paper 1 Mark Scheme 2025

Question Answer Marks Part Marks Guidance

11(a) 30 (cm) 1

11(b) 44 (cm2) 1

12 Any correct fraction in the given range, e.g. 1 Numerator and denominator must be
11 integers.
26

13(a) 0.35 1

13(b) 12 1

13(c) 20 1

14 314 cm3 1 Accept any clear indication.

15 Output of 1.25 2 Award 1 mark for one or two correct 5

answers. Accept equivalent values for 1.25, e.g.
4
Inputs of 4 and –4
Accept inputs of 4 and –4 in either order.

16 Hexagon 1

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S9/01 Mathematics Stage 9 Paper 1 Mark Scheme 2025

Question Answer Marks Part Marks Guidance

17 (x =) 2.5 3 Award 2 marks for one correct value 5

(y =) –1 Accept equivalent values for 2.5, e.g.
2
or

Award 1 mark for a correct method to Correct method, e.g.

eliminate one variable Multiplying one or both equations by a
or constant to get equal coefficients and
for their two values satisfying one of the correct consistent addition or subtraction
original equations. or making x or y the subject and
substituting into the other equation.

18(a) (x =) 0.8[0] 1

18(b) ($)17.50 1

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S9/01 Mathematics Stage 9 Paper 1 Mark Scheme 2025

Question Answer Marks Part Marks Guidance

19 The two possible positions of C marked 6 cm 3 Award 2 marks for C marked 6 cm 2 marks implied by one correct position
from B and on a bearing of 040° from A. from B. of C.
C
or

Award 1 mark for C marked on a bearing

of 040° from A
and
North
Award 1 mark for 300 000 ÷ 50 000 seen
or implied. 1 mark implied by 6 cm seen.
C
North
B

20 4 2 Award 1 mark for each correct answer.

–3

21 4xy + 1 (cm) 2 Award 1 mark for 4x(4xy + 1)

or
for either 4xy or 1
correct in a two-term expression.

22 rotation and 180° and [centre of 2 Award 1 mark for two correct from Award 2 marks for enlargement s.f. −1
rotation] (1, –2) • rotation about (1, −2).
• 180° Award 1 mark for enlargement s.f. −1
• [centre of rotation] (1, –2) Award 0 marks for more than one
transformation.

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S9/01 Mathematics Stage 9 Paper 1 Mark Scheme 2025

Question Answer Marks Part Marks Guidance

23 17 3 Award 2 marks for an answer equivalent 37 85

1 17 For 2 marks, e.g. ,1 , 1.85 , …
20 to 1 20 100
20

or

Award 1 mark for

14 3 7
× = or equivalent
15 8 20
or
1 11
for 2 =
5 5
or
11 7
for correctly changing their and to
5 20
a common denominators prior to
subtraction

If 0 marks scored, award 1 mark for

19
answer (incorrect order of
40
operations).

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S9/01 Mathematics Stage 9 Paper 1 Mark Scheme 2025

Question Answer Marks Part Marks Guidance

24 n = 10 shown in the working and (Answer =) 11 4 Award 3 marks for n = 10 Accept any letter for the unknown.
Accept 10 on the answer line for 3 marks.
or

Award 1 mark for

n + 12 3
= n – 4 or equivalent Or equivalent, e.g.
2 2 (x + 12) ÷ 2 = 3 × x ÷ 2 − 4

and

Award 1 mark for correct first step in If from correct equation, correct first step
solving their equation in one unknown could be, e.g.
with unknown on both sides. n + 12 = 3n − 8
or
n 3n
+6= −4
2 2

25 Any value for 𝑝 in range –10 < p < –5 1

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S9/01 Mathematics Stage 9 Paper 1 Mark Scheme 2025

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