GCSE Mathematics (1MA1)
Aiming for Grade 7 papers – Paper 1 – Non-Calculator
Compiled from student-friendly mark schemes
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 4 mark)
Part Working or answer an examiner might Mark Notes
expect to see
7 2 14 P1 This mark is given for a process to find the
´ = probability of choosing a green counter
9 8 72
followed by a blue counter
2 7 14 P1 This mark is given for a process to find the
´ = probability of choosing a blue counter
9 8 72
followed by a green counter
14 14 P1 This mark is given for a process to find the
+ probability of choosing one counter of
72 72
each colour
28 7 A1 This mark is given for the correct answer
(= )
72 18 only
Question 2 (Total 3 mark)
Part Working or answer an examiner might Mark Notes
expect to see
(a) 1 B1 This mark is given for the correct answer
only
(b) 4 M1 This mark is given for a method to find
cos 60° = the value of x
x
4 4
0.5 = , x=
x 0.5
8 A1 This mark is given for the correct answer
only
Question 3 (Total 2 mark)
Part Working or answer an examiner might Mark Notes
expect to see
1 1 M1 This mark is given for a method to find
16 4 = 2, 81 4 = 3 the fourth root of both 16 and 81
23 = 8, 33 = 27 A1 This mark is given for the correct answer
only
8
27
Aiming for Grade 7 - GCSE Mathematics 1MA1 – Paper 1 – Non-calculator - student friendly mark scheme (Version 1.0) 2
Aiming for Grade 7 papers – Paper 1 – Non-Calculator
Compiled from student-friendly mark schemes
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 4 mark)
Part Working or answer an examiner might Mark Notes
expect to see
7 2 14 P1 This mark is given for a process to find the
´ = probability of choosing a green counter
9 8 72
followed by a blue counter
2 7 14 P1 This mark is given for a process to find the
´ = probability of choosing a blue counter
9 8 72
followed by a green counter
14 14 P1 This mark is given for a process to find the
+ probability of choosing one counter of
72 72
each colour
28 7 A1 This mark is given for the correct answer
(= )
72 18 only
Question 2 (Total 3 mark)
Part Working or answer an examiner might Mark Notes
expect to see
(a) 1 B1 This mark is given for the correct answer
only
(b) 4 M1 This mark is given for a method to find
cos 60° = the value of x
x
4 4
0.5 = , x=
x 0.5
8 A1 This mark is given for the correct answer
only
Question 3 (Total 2 mark)
Part Working or answer an examiner might Mark Notes
expect to see
1 1 M1 This mark is given for a method to find
16 4 = 2, 81 4 = 3 the fourth root of both 16 and 81
23 = 8, 33 = 27 A1 This mark is given for the correct answer
only
8
27
Aiming for Grade 7 - GCSE Mathematics 1MA1 – Paper 1 – Non-calculator - student friendly mark scheme (Version 1.0) 2
