GCE AS Mathematics (8MA0) – Paper 1
Pure Mathematics 1
October 2020 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.
This document is intended for guidance only and may differ
significantly from the final mark scheme published in December
2020.
Guidance on the use of codes within this document
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.
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.
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 5 marks)
Part Working or answer an examiner might Mark Notes
expect to see
dy M1 This mark is given for a method to
dx differentiate x3 to x2
= 6x2 – 4 1.1b
A1 This mark is given for the correct
answer only
1.1b
When x = 2, 6x2 – 4 = 20 M1 This mark is given for a method
substitute x = 2 into 6x2 – 4
1.1b
y – 13 = 20(x – 2) M1 This mark is given for a method to find
a tangent at P(2, 13)
1.1b
y = 20x – 17 A1 This mark is given for a correct answer
only
1.1b
Question 2 (Total 6 marks)
Part Working or answer an examiner might Mark Notes
expect to see
(a) 4−(−3) 7 M1 This mark is given for a method to find
−2−(−5 ) 3 an allowable angle
1.1b
tan = =
= 66.8 M1 This mark is given for a method to find a
bearing
bearing = 180 + 66.8 3.1b
246.8 A1 This mark is given for a correct answer
only (to one decimal place)
1.1b
(b)
Distance =
√ (4−−3)2+(−2+5)2
= 58
M1 This mark is given for a method to find
the distance travelled
1.1b
√ 58 M1 This mark is given for a method to find
2.75 the speed
3.1b
Speed =
2.77 kmh–1 A1 This mark is given for a correct answer
only (to one decimal place)
1.1b
GCE AS Mathematics (8MA0) – Pure Mathematics – October 2020 student-friendly mark scheme (Version 1.0) 2
This document is intended for guidance only and may differ significantly from the final mark scheme published in December 2020.
Pure Mathematics 1
October 2020 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.
This document is intended for guidance only and may differ
significantly from the final mark scheme published in December
2020.
Guidance on the use of codes within this document
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.
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.
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 5 marks)
Part Working or answer an examiner might Mark Notes
expect to see
dy M1 This mark is given for a method to
dx differentiate x3 to x2
= 6x2 – 4 1.1b
A1 This mark is given for the correct
answer only
1.1b
When x = 2, 6x2 – 4 = 20 M1 This mark is given for a method
substitute x = 2 into 6x2 – 4
1.1b
y – 13 = 20(x – 2) M1 This mark is given for a method to find
a tangent at P(2, 13)
1.1b
y = 20x – 17 A1 This mark is given for a correct answer
only
1.1b
Question 2 (Total 6 marks)
Part Working or answer an examiner might Mark Notes
expect to see
(a) 4−(−3) 7 M1 This mark is given for a method to find
−2−(−5 ) 3 an allowable angle
1.1b
tan = =
= 66.8 M1 This mark is given for a method to find a
bearing
bearing = 180 + 66.8 3.1b
246.8 A1 This mark is given for a correct answer
only (to one decimal place)
1.1b
(b)
Distance =
√ (4−−3)2+(−2+5)2
= 58
M1 This mark is given for a method to find
the distance travelled
1.1b
√ 58 M1 This mark is given for a method to find
2.75 the speed
3.1b
Speed =
2.77 kmh–1 A1 This mark is given for a correct answer
only (to one decimal place)
1.1b
GCE AS Mathematics (8MA0) – Pure Mathematics – October 2020 student-friendly mark scheme (Version 1.0) 2
This document is intended for guidance only and may differ significantly from the final mark scheme published in December 2020.
