GCSE Mathematics (1MA1) – Higher Tier Paper 1H
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
7x < 35 M1 This mark is given for a method to solve
the inequality
x<5 A1 This mark is given for a correct answer
only
Question 2 (Total 2 marks)
Part Working or answer an examiner might Mark Notes
expect to see
2, 2, 31 M1 This mark is given for a complete method
to find the prime factors (for example,
using a factor tree with no more than one
error)
2 2 31 A1 This mark is given for a correct answer
(or equivalent)
Question 3 (Total 5 marks)
Part Working or answer an examiner might Mark Notes
expect to see
160 (3 + 7) = 16 P1 This mark is given for the first step in a
process to find the number of cars
16 3 = 48 P1 This mark is given for a full process to
find the number of cars
1 P1 This mark is given for a process to find
48 =6
8 the number of cars that use electricity
48 0.25 = 12 P1 This mark is given for a process to find
the number of cars that use diesel
48 – 6 – 12 = 30 A1 This mark is given for the correct answer
only
Summer 2022 GCSE Mathematics 1MA1 –1H student-friendly mark scheme (Version 1.0) 2
, Question 4 (Total 4 marks)
Part Working or answer an examiner might Mark Notes
expect to see
(a) 0.00163 B1 This mark is given for the correct answer
only
(b) 4.38 105 B1 This mark is given for the correct answer
only
(c) 4 6 103 10–5 M1 This mark is given for a method to find
the answer
2.4 10–1 A1 This mark is given for the correct answer
only
Question 5 (Total 3 marks)
Part Working or answer an examiner might Mark Notes
expect to see
Hexagon: M1 This mark is given a method to find an
exterior angle or an interior angle of one
360 6 = 60 or 180 4 6 = 120
of the shapes
Pentagon:
360 5 = 72 or 180 3 5 = 108
60 + 72 M1 This mark is given for a complete method
to find the size of the angle x
or 360 – 120 – 108
132 A1 This mark is given for the correct answer
only
Summer 2022 GCSE Mathematics 1MA1 –1H student-friendly mark scheme (Version 1.0) 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
7x < 35 M1 This mark is given for a method to solve
the inequality
x<5 A1 This mark is given for a correct answer
only
Question 2 (Total 2 marks)
Part Working or answer an examiner might Mark Notes
expect to see
2, 2, 31 M1 This mark is given for a complete method
to find the prime factors (for example,
using a factor tree with no more than one
error)
2 2 31 A1 This mark is given for a correct answer
(or equivalent)
Question 3 (Total 5 marks)
Part Working or answer an examiner might Mark Notes
expect to see
160 (3 + 7) = 16 P1 This mark is given for the first step in a
process to find the number of cars
16 3 = 48 P1 This mark is given for a full process to
find the number of cars
1 P1 This mark is given for a process to find
48 =6
8 the number of cars that use electricity
48 0.25 = 12 P1 This mark is given for a process to find
the number of cars that use diesel
48 – 6 – 12 = 30 A1 This mark is given for the correct answer
only
Summer 2022 GCSE Mathematics 1MA1 –1H student-friendly mark scheme (Version 1.0) 2
, Question 4 (Total 4 marks)
Part Working or answer an examiner might Mark Notes
expect to see
(a) 0.00163 B1 This mark is given for the correct answer
only
(b) 4.38 105 B1 This mark is given for the correct answer
only
(c) 4 6 103 10–5 M1 This mark is given for a method to find
the answer
2.4 10–1 A1 This mark is given for the correct answer
only
Question 5 (Total 3 marks)
Part Working or answer an examiner might Mark Notes
expect to see
Hexagon: M1 This mark is given a method to find an
exterior angle or an interior angle of one
360 6 = 60 or 180 4 6 = 120
of the shapes
Pentagon:
360 5 = 72 or 180 3 5 = 108
60 + 72 M1 This mark is given for a complete method
to find the size of the angle x
or 360 – 120 – 108
132 A1 This mark is given for the correct answer
only
Summer 2022 GCSE Mathematics 1MA1 –1H student-friendly mark scheme (Version 1.0) 3