GCSE Mathematics (1MA1) – Higher Tier Paper 3H
Summer 2022 student-friendly mark scheme
Please note that this mark scheme is not the one used by
examiners for making scripts. It is intended more as a guide to
good practice, indicating where marks are given for correct
answers. As such, it doesn’t show follow-through marks (marks
that are awarded despite errors being made) or special cases.
It should also be noted that for many questions, there may be
alternative methods of finding correct solutions that are not
shown here – they will be covered in the formal mark scheme.
NOTES ON MARKING PRINCIPLES
Guidance on the use of codes within this mark scheme
M1 – method mark. This mark is generally given for an appropriate method in
the context of the question. This mark is given for showing your working and
may be awarded even if working is incorrect.
P1 – process mark. This mark is generally given for setting up an appropriate
process to find a solution in the context of the question.
A1 – accuracy mark. This mark is generally given for a correct answer
following correct working.
B1 – working mark. This mark is usually given when working and the answer
cannot easily be separated.
C1 – communication mark. This mark is given for explaining your answer or
giving a conclusion in context supported by your working.
Some questions require all working to be shown; in such questions, no marks
will be given for an answer with no working (even if it is a correct answer).
,Question 1 (Total 2 marks)
Part Working or answer an examiner might Mark Notes
expect to see
(b) 8.52 – 42 = 72.25 – 16 = 56.25 M1 This mark is given for a method to use
Pythagoras’ theorem to find x
56.25 =
7.5 A1 This mark is given for the correct answer
only
Question 2 (Total 4 marks)
Part Working or answer an examiner might Mark Notes
expect to see
(a) 4 (–3)2 – 11 M1 This mark is given for a method to
substitute –3 into the equation
= 36 – 11
25 A1 This mark is given for the correct answer
only
(b) d – 4 = 3p M1 This mark is given for a first step to make
p the subject of the formula
or
d 4
– =p
3 3
d −4 A1 This mark is given for the correct answer
p=
3 only
Question 3 (Total 5 marks)
Part Working or answer an examiner might Mark Notes
expect to see
R = n, S = 2n, T = 2n – 6 P1 This mark is given for a process to
develop three algebraic expressions (with
at least two correct)
n + 2n + 2n – 6 = 54 P1 This mark is given for a process to sum
the three algebraic expressions to 54
5n – 6 = 54 P1 This mark is given for a process to solve
the linear equation
n = 12
Ratio = 12: (2 12 – 6) = 12 : 18 P1 This mark is given for a process to find
the ratio of the number of counters Rick
and Tony have
p = 1.5 A1 This mark is given for the correct answer
only
Summer 2022 GCSE Mathematics 1MA1 – 3H student-friendly mark scheme (Version 1.3) 2
, Question 4 (Total 4 marks)
Part Working or answer an examiner might Mark Notes
expect to see
15 P1 This mark is given for a process to find
36 = £180
3 the cost of 15 rolls from Chic Decor
70 (15 5) 0.12 = £25.20 P1 This mark is given for a process to find
the discount available at Style Papers
(3 70) – 25.20 = £184.80 P1 This mark is given for a process to find
the cost of 15 rolls from Style Papers
Jo should by the wallpaper from Chic C1 This mark is given for a valid statement
Decor supported by correct working
Question 5 (Total 2 marks)
Part Working or answer an examiner might Mark Notes
expect to see
For example: C1 This mark is given for a mistake
identified on the frequency polygon
40 is missing from the frequency scale
For example: C1 This mark is given for a mistake
identified on the frequency polygon
An incorrect point (50, 5) is mapped
Question 6 (Total 4 marks)
Part Working or answer an examiner might Mark Notes
expect to see
15 40 P1 This mark is given for a process to find
6 = 1.5 9 =6
60 60 the distance of either of the two parts of
Jessica’s journey
1.5 + 6 = 7.5 P1 This mark is given for a process to find
the total distance of Jessica’s journey
45 minutes = 0.75 hours P1 This mark is given for a process to find
Amy’s average speed
75
=
7.5
10 A1 This mark is given for the correct answer
only
Summer 2022 GCSE Mathematics 1MA1 – 3H student-friendly mark scheme (Version 1.3) 3
Summer 2022 student-friendly mark scheme
Please note that this mark scheme is not the one used by
examiners for making scripts. It is intended more as a guide to
good practice, indicating where marks are given for correct
answers. As such, it doesn’t show follow-through marks (marks
that are awarded despite errors being made) or special cases.
It should also be noted that for many questions, there may be
alternative methods of finding correct solutions that are not
shown here – they will be covered in the formal mark scheme.
NOTES ON MARKING PRINCIPLES
Guidance on the use of codes within this mark scheme
M1 – method mark. This mark is generally given for an appropriate method in
the context of the question. This mark is given for showing your working and
may be awarded even if working is incorrect.
P1 – process mark. This mark is generally given for setting up an appropriate
process to find a solution in the context of the question.
A1 – accuracy mark. This mark is generally given for a correct answer
following correct working.
B1 – working mark. This mark is usually given when working and the answer
cannot easily be separated.
C1 – communication mark. This mark is given for explaining your answer or
giving a conclusion in context supported by your working.
Some questions require all working to be shown; in such questions, no marks
will be given for an answer with no working (even if it is a correct answer).
,Question 1 (Total 2 marks)
Part Working or answer an examiner might Mark Notes
expect to see
(b) 8.52 – 42 = 72.25 – 16 = 56.25 M1 This mark is given for a method to use
Pythagoras’ theorem to find x
56.25 =
7.5 A1 This mark is given for the correct answer
only
Question 2 (Total 4 marks)
Part Working or answer an examiner might Mark Notes
expect to see
(a) 4 (–3)2 – 11 M1 This mark is given for a method to
substitute –3 into the equation
= 36 – 11
25 A1 This mark is given for the correct answer
only
(b) d – 4 = 3p M1 This mark is given for a first step to make
p the subject of the formula
or
d 4
– =p
3 3
d −4 A1 This mark is given for the correct answer
p=
3 only
Question 3 (Total 5 marks)
Part Working or answer an examiner might Mark Notes
expect to see
R = n, S = 2n, T = 2n – 6 P1 This mark is given for a process to
develop three algebraic expressions (with
at least two correct)
n + 2n + 2n – 6 = 54 P1 This mark is given for a process to sum
the three algebraic expressions to 54
5n – 6 = 54 P1 This mark is given for a process to solve
the linear equation
n = 12
Ratio = 12: (2 12 – 6) = 12 : 18 P1 This mark is given for a process to find
the ratio of the number of counters Rick
and Tony have
p = 1.5 A1 This mark is given for the correct answer
only
Summer 2022 GCSE Mathematics 1MA1 – 3H student-friendly mark scheme (Version 1.3) 2
, Question 4 (Total 4 marks)
Part Working or answer an examiner might Mark Notes
expect to see
15 P1 This mark is given for a process to find
36 = £180
3 the cost of 15 rolls from Chic Decor
70 (15 5) 0.12 = £25.20 P1 This mark is given for a process to find
the discount available at Style Papers
(3 70) – 25.20 = £184.80 P1 This mark is given for a process to find
the cost of 15 rolls from Style Papers
Jo should by the wallpaper from Chic C1 This mark is given for a valid statement
Decor supported by correct working
Question 5 (Total 2 marks)
Part Working or answer an examiner might Mark Notes
expect to see
For example: C1 This mark is given for a mistake
identified on the frequency polygon
40 is missing from the frequency scale
For example: C1 This mark is given for a mistake
identified on the frequency polygon
An incorrect point (50, 5) is mapped
Question 6 (Total 4 marks)
Part Working or answer an examiner might Mark Notes
expect to see
15 40 P1 This mark is given for a process to find
6 = 1.5 9 =6
60 60 the distance of either of the two parts of
Jessica’s journey
1.5 + 6 = 7.5 P1 This mark is given for a process to find
the total distance of Jessica’s journey
45 minutes = 0.75 hours P1 This mark is given for a process to find
Amy’s average speed
75
=
7.5
10 A1 This mark is given for the correct answer
only
Summer 2022 GCSE Mathematics 1MA1 – 3H student-friendly mark scheme (Version 1.3) 3
