Mark Scheme (Results)
Summer 2023
Pearson Edexcel GCSE
In Mathematics (1MA1)
Higher (Non-Calculator) Paper 1HEdexcel and BTEC Qualifications
Edexcel and BTEC qualifications are awarded by Pearson, the UK’s largest a
...
Mark Scheme (Results)
Summer 2023
Pearson Edexcel GCSE
In Mathematics (1MA1)
Higher (Non-Calculator) Paper 1HEdexcel and BTEC Qualifications
Edexcel and BTEC qualifications are awarded by Pearson, the UK’s largest awarding body. We
provide a wide range of qualifications including academic, vocational, occupational and specific
programmes for employers. For further information visit our qualifications websites at
www.edexcel.com or www.btec.co.uk. Alternatively, you can get in touch with us using the
details on our contact us page at www.edexcel.com/contactus.
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Summer 2023
Question Paper Log Number P75148
Publications Code 1MA1_1H_2306_MS
All the material in this publication is copyright
© Pearson Education Ltd 2023General marking guidance
These notes offer general guidance, but the specific notes for examiners appertaining to individual questions take precedence.
1 All candidates must receive the same treatment. Examiners must mark the last candidate in exactly the same way as they mark the first.
Where some judgement is required, mark schemes will provide the principles by which marks will be awarded; exemplification/indicative
content will not be exhaustive. When examiners are in doubt regarding the application of the mark scheme to a candidate’s response,
the response should be sent to review.
2 All the marks on the mark scheme are designed to be awarded; mark schemes should be applied positively. Examiners should also be
prepared to award zero marks if the candidate’s response is not worthy of credit according to the mark scheme. If there is a wrong
answer (or no answer) indicated on the answer line always check the working in the body of the script (and on any diagrams), and award
any marks appropriate from the mark scheme.
Questions where working is not required: In general, the correct answer should be given full marks.
Questions that specifically require working: In general, candidates who do not show working on this type of question will get no
marks – full details will be given in the mark scheme for each individual question.
3 Crossed out work
This should be marked unless the candidate has replaced it with
an alternative response.
4 Choice of method
If there is a choice of methods shown, mark the method that leads to the answer given on the answer line.
If no answer appears on the answer line, mark both methods then award the lower number of marks.
5 Incorrect method
If it is clear from the working that the “correct” answer has been obtained from incorrect working, award 0 marks. Send the response to
review for your Team Leader to check.
6 Follow through marks
Follow through marks which involve a single stage calculation can be awarded without working as you can check the answer, but if
ambiguous do not award.
Follow through marks which involve more than one stage of calculation can only be awarded on sight of the relevant working, even if it
appears obvious that there is only one way you could get the answer given.7 Ignoring subsequent work
It is appropriate to ignore subsequent work when the additional work does not change the answer in a way that is inappropriate for the
question or its context. (eg an incorrectly cancelled fraction when the unsimplified fraction would gain full marks).
It is not appropriate to ignore subsequent work when the additional work essentially makes the answer incorrect (eg. incorrect algebraic
simplification).
8 Probability
Probability answers must be given as a fraction, percentage or decimal. If a candidate gives a decimal equivalent to a probability, this
should be written to at least 2 decimal places (unless tenths).
Incorrect notation should lose the accuracy marks, but be awarded any implied method marks.
If a probability fraction is given then cancelled incorrectly, ignore the incorrectly cancelled answer.
9 Linear equations
Unless indicated otherwise in the mark scheme, full marks can be gained if the solution alone is given on the answer line, or otherwise
unambiguously identified in working (without contradiction elsewhere). Where the correct solution only is shown substituted, but not
identified as the solution, the accuracy mark is lost but any method marks can be awarded (embedded answers).
10 Range of answers
Unless otherwise stated, when an answer is given as a range (eg 3.5 – 4.2) then this is inclusive of the end points (eg 3.5, 4.2) and all
numbers within the range
11 Number in brackets after a calculation
Where there is a number in brackets after a calculation eg 2 × 6 (=12) then the mark can be awarded either for the correct method,
implied by the calculation or for the correct answer to the calculation.
12 Use of inverted commas
Some numbers in the mark scheme will appear inside inverted commas eg “12” × 50 ; the number in inverted commas cannot be any
number – it must come from a correct method or process but the candidate may make an arithmetic error in their working.
13 Word in square brackets
Where a word is used in square brackets eg [area] × 1.5 : the value used for [area] does not have to come from a correct method or
process but is the value that the candidate believes is the area. If there are any constraints on the value that can be used, details will
be given in the mark scheme.
14 Misread
If a candidate misreads a number from the question. eg uses 252 instead of 255; method or process marks may be awarded provided
the question has not been simplified. Examiners should send any instance of a suspected misread to review.Guidance on the use of abbreviations within this mark scheme
M method mark awarded for a correct method or partial method
P process mark awarded for a correct process as part of a problem solving question
A accuracy mark (awarded after a correct method or process; if no method or process
is seen then full marks for the question are implied but see individual mark schemes
for more details)
C communication mark awarded for a fully correct statement(s)
with no contradiction or ambiguity
B unconditional accuracy mark (no method needed)
oe or equivalent
cao correct answer only
ft follow through (when appropriate as per mark scheme)
sc special case
dep dependent (on a previous mark)
indep independent
awrt answer which rounds to
isw ignore subsequent workingPaper: 1MA1/1H
Question Answer Mark Mark scheme Additional guidance
1 56.4 M1 for a start to a method,
eg 846 ÷ 15 or 8.46 ÷ 0.15 or 8.46 ÷ 3 × 20 or 282 ÷ 5
that leads to 5 as the first digit
or for a complete method with no more than one arithmetic error
A start to a repeated subtraction
method or a build-up method is
acceptable if a correct first digit of 5
is found
A1 for digits 564 identified
A1 (ft) dep on M1 for correct placement of the decimal point into their final
answer An answer of 56 2
5
gets 3 marks
2
4
7 8
M2 for a complete method,
eg 7 – 2 +
3 8
−
4 8
condoning error with one numerator or
for
59
8
−
5 2
=
59
8
−
20
8
(=
39
8
) with no more than one error
OR
for an answer of 4.875
(M1 for finding two fractions with a correct common denominator, with at
least one correct corresponding numerator, eg
3 8
,
4 8
or
for converting both to improper fractions, eg
59
8 ,
5 2
OR
for 7.375 – 2.5 )
At least one improper fraction must
be correct
Both decimals must be correct
A1 for 4 7
8
oe eg
14
4
16
Any equivalents must be a mixed
numberPaper: 1MA1/1H
Question Answer Mark Mark scheme Additional guidance
3 125 P1 for process to find area of one face, eg 150 ÷ 6 (= 25)
or 6x2 = 150 where x is the length of one side
P1 for process to find side length, eg √"25" (= 5)
P1 for a complete process to find volume, eg “5” × “5” × “5” or “25” × “5”
A1 cao
4 Frequency
polygon
drawn
B2 for fully correct frequency polygon with points plotted at the midpoints Joining must be with line segments
Accept points plotted within half a
small square
Ignore any histogram drawn and any
part of a frequency polygon outside
range of first and last points plotted
(2.5, 8), (7.5, 24)
(12.5, 13)
(17.5, 11)
(22.5, 4)
(B1 for all points plotted correctly but not joined with line segments
or points plotted at correct heights not at midpoints but consistently
within each interval and joined with line segments
or correct frequency polygon with one point incorrect
or correct frequency polygon with first and last points joined directly)
for example, at 0, 5, 10,…or at 5,
10, 15,…Paper: 1MA1/1H
Question Answer Mark Mark scheme Additional guidance
5 (a) Venn diagram B3 for a fully correct Venn diagram Ignore all entries except the region
you are marking for each method
mark
(B2 for two or three of the four regions correct)
(B1 for just one of the four regions correct)
(b) 7
10
M1 (ft diagram)
for
𝑎
10
where 0 < a < 10 and a is an integer or
7 𝑏
where b > 7 and b is an
integer
or 1 − 3
10
or 7 : 10
Repeated digits in the diagram
should be counted as 2 elements
A1 (ft diagram) for 7
10
oe
Accept any equivalent fraction,
or 0.7 or 70%
3 1 4
2
9
5
7
6 8 10Paper: 1MA1/1H
Question Answer Mark Mark scheme Additional guidance
6 (a) Description C1 for a valid description of the relationship
Acceptable examples
As age increases, weight increases
The older you are the greater the weight
Positive correlation
Not acceptable examples
Positive (relationship)
age and weight are in proportion
strong correlation or correlation is increasing
as the babies get older the heavier they get, negative correlation
they are directly proportional, weight goes up as age goes up
Accept positive correlation
Ignore any comment about strength
(b) 2.5 to 4.5 B2 for an answer in the range 2.5 to 4.5
(B1 for a suitable line of best fit drawn
or for a point on the grid at (x, 5.8) where x lies between 2.5 and 4.5
or a horizontal line drawn from 5.8 across to (x, 5.8) where x is in the
range 2.5 to 4.5)
7 1200 M1 for a fully correct method, eg 240 ÷ 0.2 or 240 × 5 oe
A1 cao
SC B1 for an answer of 960 or 1440 if M0 scored
8 3 P1 for process to find area of base, eg 1200 ÷ 40 (= 30)
P1 for process to find pressure, eg 90 ÷ “30”
A1 caoPaper: 1MA1/1H
Question Answer Mark Mark scheme Additional guidance
9 x = 6
y = −2
B1 cao
10 140 P1 for process to find sum of the interior angles of a pentagon
eg 180 × (5 – 2) (= 540) oe
Angles must be clearly labelled on
the diagram or otherwise identified.
Correct method can be implied from
angles on the diagram if no
ambiguity or contradiction.
Ratio must be used correctly if
awarded for diagram
P1 (dep P1) for process to use ratio 4 : 1,
eg labels as 4x and x or as x and 1
4
x
or 110 + 135 + 120 + 4x + x = “540”
or for “540” – 110 – 135 – 120 (= 175)
P1 for process to find angle ABC or angle AED
eg “175” ÷ (4 + 1) (= 35) or “175” ÷ (4 + 1) × 4
A1 cao A correct answer with no supportive
working gets 0 marksPaper: 1MA1/1H
Question Answer Mark Mark scheme Additional guidance
11 3x7y2 M1 for full evaluation of numerator or denominator with at least 2 of 3 terms
correct in a product, eg 36x10y6 or 12x3y4
or full evaluation of
5 3
2 7
6 3
x y
x y
or
5 3
3
6 4
x y
xy
−
with at least 2 of 3 terms correct
in a product, eg 2x3y–4 or 1.5x4y6
M1 for correct evaluation of numerator and denominator,
eg 36x10y6 and 12x3y4
or for full evaluation of numerator and denominator with no more than
one error and a final answer of the form axbyc with two of a, b and c
correct
or for correct evaluation of
5 3
2 7
6 3
x y
x y
and
5 3
3
6 4
x y
xy
−
eg 2x3y–4 and 1.5x4y6
or for full evaluation of
5 3
2 7
6 3
x y
x y
and
5 3
3
6 4
x y
xy
−
with no more than one error
and a final answer of the form axbyc with two of a, b and c correct
A1 for 3x7y2 oe Accept a = 3, b = 7, c = 2Paper: 1MA1/1H
Question Answer Mark Mark scheme Additional guidance
12 62
72
M1 for one correct product,
eg
5 7
8 9
(= 35
72
) oe or 3 2
8 9
(= 6
72
) oe or 3 7
8 9
(= 21
72
) oe
or
5 2
8 9
(= 10
72
) oe
M1 for a full method, eg 5 7 3 2 3 7
8 9 8 9 8 9
+ + oe
or
5 2
1
8 9
− oe
A1 for 62
72
oe eg
31
36
13 80 M1 for setting up an equation with a constant term,
eg y = kx oe or 24 = k × 1.5 oe or k = 16
or for starting to work with direct proportion,
eg 24 ÷ 1.5 (= 16) or 5 ÷ 1.5 (= 3.33…)
Condone the use of “α ” instead of
“=” for the M marks
M1 for substituting in y = kx, eg y = “16” × 5
or for a complete method, eg
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