Mark Scheme (Results) November 2018: Pearson Edexcel GCSE (9 - 1) in Mathematics (1MA1) Foundation (Calculator) Paper 2F
Mark Scheme (Results) November 2018: Pearson Edexcel GCSE (9 - 1) in Mathematics (1MA1) Foundation (Calculator) Paper 2F
Mark Scheme (Results) November 2018: Pearson Edexcel GCSE (9 - 1) in Mathematics (1MA1) Foundation (Calculator) Paper 2F
November 2018
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November 2018
Publications Code 1MA1_2F_1810_MS
All the material in this publication is copyright
© Pearson Education Ltd 2018
General 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.
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.
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 (e.g 3.5 – 4.2) then this is inclusive of the end points (e.g 3.5, 4.2) and
all numbers within the range.
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
P process mark awarded for a correct process as part of a problem solving question
oe or equivalent
sc special case
indep independent
4 4 B1 cao
5 31 B1 cao
100
6 5 11 3 19 M1 conversion into decimals or percentages or other equivalent form, at 0.71(...), 0.73(...), 0.75, 0.76
, , , least two conversions correct,
7 15 4 25
or any three fractions in correct order
A1 cao
Paper: 1MA1/2F
Question Answer Mark Mark scheme Additional guidance
9 (a) Explanation C2 full explanation 7, 10, 13, 16, 19, 22, ...
eg explains that both 19 and 22 are terms in the sequence
or solves 3n + 4 = 21 to find n = 17/3 oe
Acceptable examples
19 is in the sequence and 19 + 3 is more than 21
The 5th term is 19 and the 6th term is 22
7, 10, 13, 16, 19, 22
17 is not in the 3 times table
Because 21 is in the 3 times table and the sequence is plus 4
Acceptable examples
The closest number is 22
3 × 6 = 18, 18 + 4 is higher than 21
19 is in the sequence so 21 can’t be in the sequence.
Starting at 7 and adding 3 each time won’t lead to 21
It’s the 3 times table plus 4
21 is in the 3 times table
Acceptable examples
Add 3 and add 4 May be indicated on the sequence with no
The difference goes up by one each time contradictory statement made
It doubles
+1, +2, +1, +2 or indicates +1, +2 repeats itself
10 (a) 38 B1 cao
(b) 6 M1 starts process to find input using inverse operations +2 ÷ 5 could be seen in a flow diagram
eg 28 + 2 or sight of +2 ÷ 5
or by forming an equation eg x × 5 − 2 = 28
A1 cao
11 4 M1 30
for 80 (=24) oe or for 104
100
A1 for 4 or –4
Paper: 1MA1/2F
Question Answer Mark Mark scheme Additional guidance
12 29 29 b 20
P1 for where a > 29 or where b < 49 or 1 –
49 a 49 49
49 20
or where c > 49 − 20
c
OR for 29 and 49 with incorrect notation eg 29 : 49
A1 cao
M1 equating with area of parallelogram eg [area of triangle] × 5 = 30 × h [area of triangle] must be 72 or 144 or come from
or (h =) [area of triangle] × 5 ÷ 30 ½ (16 × 9) or 16 × 9
A1 cao
Paper: 1MA1/2F
Question Answer Mark Mark scheme Additional guidance
14 (a) No (supported) C1 1
No and explanation eg “it is ” or “each number is the same
6
probability”
Acceptable examples
No, they are both 1/6 (accept 1 in 6 or 1 : 6 etc)
No, they are both the same
No, an equal chance
No, it’s a fair dice
No, there’s only one of each number
(b) No (supported) C1 1 1
No and explanation eg “it is out of 36” or “it is times ”
6 6
Acceptable examples
No, the probability is 1/36
No, it’s out of 36
No, he should times not add
(c) 1H, 2H, 3H, 4H, B2 for all 12 outcomes with no extras or repeats Pairs must be unambiguous
5H, 6H, 1T, 2T, Accept words and abbreviations
3T, 4T, 5T, 6T
(B1 for at least 6 correct outcomes, ignoring extras and repeats)
Paper: 1MA1/2F
Question Answer Mark Mark scheme Additional guidance
15 2.5 100 I
M1 for ( R ) or 600×5 (= 3000) or 75 × 100 (= 7500) or 75 ÷ 5 (= 15)
PT
or 75 ÷ 600 (= 0.125)
75 100
M1 for oe Calculations may be done in stages.
600 5
May work in decimals or in percentages
"15"
OR (= 0.025) or “0.125” ÷ 5 (= 0.025) or 1.025
600
A1 cao
17 2 bags of stone P2 for a complete process to work out how many bags of each material is The correct figures do not need to be seen to
required award the process marks
eg 180 ÷ 25 (= 7.2 or 8), 375 ÷ 22.5 (= 16.6.. or 17),
1080 ÷ 50 (= 21.6 or 22)
or a complete process to work out the total weight of each element that
he has
eg 25 × 10 (= 250), 20 × 22.5 (= 450), 50 × 20 (= 1000)
(P1 for a correct start to the process, eg for at least one correct calculation
Acceptable examples
Because 1.3 is 130%
He is increasing it by 30%
1.3 means 1.30, not 1.03
He needs to put a 0 in front of the 3
1.3 is the wrong decimal
He should multiply by 0.03
3% is 0.03, (not 1.3)
His answer should be 154.5
He is meant to increase it by 4.5, not by 45
A1 cao
(b) 3b(3 – b) M1 for 3(3b – b2) or b(9 − 3b) or 3b(two term linear expression)
A1 cao
Paper: 1MA1/2F
Question Answer Mark Mark scheme Additional guidance
20 (a) Venn diagram C4 fully correct Venn diagram
(C3 7 of the 8 regions correct or for a diagram with only one number 2, 10, 6
incorrectly placed) 14
8
20
(C2 5 or 6 of the 8 regions correct) 18, 22
4, 12 16, 24
(C1 3 or 4 of the 8 regions correct)
(b) 1 M1 ft for identification of 1 or 12 eg from the diagram Need not be written as a fraction or probability at
12 this stage. eg could be a ratio 1:12
Acceptable examples
lobf
lobf does not suit all points/not a lobf
lobf wrong since hits x axis/is inaccurate/should be amongst the crosses
lobf goes through the origin/through one point
Not acceptable examples
no correlation/there is no title
Acceptable examples
150 missing
Height not linear / Height numbers going up wrong
Not acceptable examples
150
graph does not start at 140/graph does not start at 0
height should start at 170
Paper: 1MA1/2F
Question Answer Mark Mark scheme Additional guidance
22 60 M1 use of parallel lines to find an angle eg ABE=70 or EBG=75 or EBC = Parts of x should be identified on the diagram by
110 the insertion of a dividing line through angle x
or shows parts of x as 35 or 25 (need not be identified or drawn parallel).
M1 for a complete method to find angle x; could be in working or on the Correct method can be implied from angles on
diagram the diagram if no ambiguity or contradiction.
A1 for x = 60
C1 (dep on M1) for one reason linked to parallel lines and one other reason, Underlined words need to be shown; reasons
supported by working taken from: need to be linked to their method; any reasons
alternate angles are equal, allied angles / co-interior angles add up to not linked do not credit. There should be no
180, angles on a straight line add up to 180, angles in a triangle add up incorrect reasons given.
to 180o
Paper: 1MA1/2F
Question Answer Mark Mark scheme Additional guidance
23 (a) Ben P1 shows how to work interest out for one year eg 2000 × 0.025 (= 50) Throughout accept figures ±1 pence which do
(supported) or 1600 × 0.035 (= 56) or 150 or 168 not need to be presented in money notation (to
or 2000×1.025 (= 2050) or 1600 ´ 1.035 (= 1656) 2dp) or with monetary symbols.
P1 shows compound interest calculation for one account Award mark for a correct process shown, for
eg 205051.25 or 2101.2552.53 which these figures can be taken as implying the
or 165657.96 or 1713.9659.99 process.
eg 2000×1.0253 (= 2153.78) or 1600 ´ 1.0353 (= 1773.95)
P1 shows complete compound interest calculation for both accounts As above, award mark for both correct processes
eg 2000×1.0253 (= 2153.78) and 1600 ´ 1.0353 (= 1773.95) shown for both accounts, which these figures can
be taken as implying the process.
OR
one interest stated correctly
eg 153.78 or 173.95
(b) conclusion C1 conclusion (ft) eg no change, shares now 182.5… Conclusion needs to be supported.
ft is from part (a); calculations carried out as part
Acceptable examples of (b) need to be correct for the comparison to be
no since shares/Ben now 182.5 valid.
Still Ben since 182.5 > Ali
No; he only gets 8.57 more
No; he gets 68.56 instead of 59.98 (3rd yr)
No; Ben already gets more interest, he would just get even more
P1 for division to find the number of for using whole no. of tins to find
tins eg ÷5 or “45.5” ÷ 5 (= 9.1) or total litres eg 9 ´ 5 (= 45)
[area of trapezium] ÷ “10” (= 9.1)
P1 (dep on at least P2) for a process (dep on at least P2) for a process
to multiply a whole number of tins to find the total coverage
(rounded up) by 16.99 eg “45” ´ 2 (= 90)
C1 for ‘No’ supported by correct figures eg 169.9 or 90 and 91 There must be a conclusion (“No” or equivalent
wording) including the figure 169.9 and working
showing processes followed.
P1 (dep) full process to rearrange equation formed to isolate d Must show processes to get as far as d =
15 9 15 9
eg rearrangement of 15 = 3d - 6 or 3 = or for 5 + Award P2 for an answer of (7, 15)
d 5 3
A1 cao
Paper: 1MA1/2F
Question Answer Mark Mark scheme Additional guidance
26 (a) 10x2 − 11x − 6 M1 for 3 out of no more than 4 terms correct with correct signs or 4 correct 2
10x − 15x + 4x – 6
terms ignoring signs NB: 10x2 − 11x and -11x - 6 are indicative of
3 correct terms.
A1 cao
A1 cao
Only mark scheme amendments are shown where the enlargement or modification of the paper requires a change in the mark scheme.
The following tolerances should be accepted on marking MLP papers, unless otherwise stated below:
Angles: ±5º
Measurements of length: ±5 mm
PAPER: 1MA1_2F
Question Modification Mark scheme notes
10 Wording changed from ‘Here is’ to ‘It shows’. Standard mark scheme
13 (a) Wording changed from ‘A square has’ to ‘It shows a square with’. Standard mark scheme
Diagrams enlarged.
16 Diagram enlarged. Shading changed to dotty shading. Wording deleted from inside the shapes. Standard mark scheme
Shapes labelled ‘shape A’ and ‘shape B’, above and below respectively.
Wording added ‘It shows shape A and shape B on a grid.’ K and V only – shape provided.
19 (b) Braille and MLP – b changed to y. Standard mark scheme but b changed to y.
20 Diagram enlarged. Wording added ‘It shows a Venn diagram.’ Standard mark scheme
Circles labelled ‘set A’, ‘set B’ and ‘set C’. Braille only – sticky labels provided.
24 Diagram enlarged and a model provided for all candidates. Standard mark scheme
Wording added ‘The diagrams show a floor in the shape of a trapezium and a tin of paint. The
model represents the tin of paint.’
Braille only – parallelogram labelled ABCD, added information about the shape.