GCSE Mathematics (1MA1) – Higher Tier Paper 2H
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 3 marks)
Part Working or answer an examiner might Mark Notes
expect to see
(a) (x3)5 = x(3 5) = x15 B1 This mark is given for the correct answer
only
(b) 4x + 12 + 28 – 14x M1 This mark is given for a method to expand
at least one bracket
40 – 10x A1 This mark is given for the correct answer
only
(c) 3(5x3 + x2y) M1 This mark is given for a method to
eliminate at least one factor
or
3x(5x2 + xy)
or
x2(15x + 3y)
3x2(5x + y) A1 This mark is given for the correct answer
only
Question 2 (Total 2 marks)
Part Working or answer an examiner might Mark Notes
expect to see
− 5 B1 This mark is given for translation stated
Translation
6 B1 − 5
This mark is given for the vector
6
Question 3 (Total 2 marks)
Part Working or answer an examiner might Mark Notes
expect to see
89.5 length < 90.5 B1 This mark is given for 89.5 shown in the
correct position
B1 This mark is given for 90.5 shown in the
correct position
Summer 2022 GCSE Mathematics 1MA1 – 2H student-friendly mark scheme (Version 1.3) 2
, Question 4 (Total 5 marks)
Part Working or answer an examiner might Mark Notes
expect to see
(a) 700 2000 = 1 400 000 P1 This mark is given for a process to find
the area available at Festival B
Festival A: 80 000 425 = 188.23… P1 This mark is given a method to find the
area available per person at (at least) one
Festival B: 1 400 000 = 6750 = 207.40… Festival
207.40… – 188.23… = 19.17… P1 This mark is given for finding the
difference in area per person
19 (to the nearest whole number) A1 This mark is given for the correct answer
only
(b) For example: C1 This mark is given for a valid statement
relating scale factor to area
300 cm2 is 0.3 m 0.3 m = 0.09 m2
3 m2 is 300 cm 300 cm = 90 000 cm2
Question 5 (Total 4 marks)
Part Working or answer an examiner might Mark Notes
expect to see
4 – –3 = 7 P1 This mark is given for a process to use
coordinates to find the translation of L
9–1=8
to M
7 2 = 3.5 P1 This mark is given for a process to use
the ratio 2 : 3
82=4
5 3.5 + –3 P1 This mark is given for a process to use
coordinates to find the translation of L
54+1 to N
(14.5, 21) A1 This mark is given for the correct answer
only
Summer 2022 GCSE Mathematics 1MA1 – 2H 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 3 marks)
Part Working or answer an examiner might Mark Notes
expect to see
(a) (x3)5 = x(3 5) = x15 B1 This mark is given for the correct answer
only
(b) 4x + 12 + 28 – 14x M1 This mark is given for a method to expand
at least one bracket
40 – 10x A1 This mark is given for the correct answer
only
(c) 3(5x3 + x2y) M1 This mark is given for a method to
eliminate at least one factor
or
3x(5x2 + xy)
or
x2(15x + 3y)
3x2(5x + y) A1 This mark is given for the correct answer
only
Question 2 (Total 2 marks)
Part Working or answer an examiner might Mark Notes
expect to see
− 5 B1 This mark is given for translation stated
Translation
6 B1 − 5
This mark is given for the vector
6
Question 3 (Total 2 marks)
Part Working or answer an examiner might Mark Notes
expect to see
89.5 length < 90.5 B1 This mark is given for 89.5 shown in the
correct position
B1 This mark is given for 90.5 shown in the
correct position
Summer 2022 GCSE Mathematics 1MA1 – 2H student-friendly mark scheme (Version 1.3) 2
, Question 4 (Total 5 marks)
Part Working or answer an examiner might Mark Notes
expect to see
(a) 700 2000 = 1 400 000 P1 This mark is given for a process to find
the area available at Festival B
Festival A: 80 000 425 = 188.23… P1 This mark is given a method to find the
area available per person at (at least) one
Festival B: 1 400 000 = 6750 = 207.40… Festival
207.40… – 188.23… = 19.17… P1 This mark is given for finding the
difference in area per person
19 (to the nearest whole number) A1 This mark is given for the correct answer
only
(b) For example: C1 This mark is given for a valid statement
relating scale factor to area
300 cm2 is 0.3 m 0.3 m = 0.09 m2
3 m2 is 300 cm 300 cm = 90 000 cm2
Question 5 (Total 4 marks)
Part Working or answer an examiner might Mark Notes
expect to see
4 – –3 = 7 P1 This mark is given for a process to use
coordinates to find the translation of L
9–1=8
to M
7 2 = 3.5 P1 This mark is given for a process to use
the ratio 2 : 3
82=4
5 3.5 + –3 P1 This mark is given for a process to use
coordinates to find the translation of L
54+1 to N
(14.5, 21) A1 This mark is given for the correct answer
only
Summer 2022 GCSE Mathematics 1MA1 – 2H student-friendly mark scheme (Version 1.3) 3