MARK SCHEME – GCSE MATHEMATICS – 8300/1H –
JUNE 2023
AQA
GCSE
MATHEMATICS
8300/1H
Higher Tier Paper 1 Non-Calculator
Mark scheme
June 2023
2
, MARK SCHEME – GCSE MATHEMATICS – 8300/1H –
JUNE 2023
Glossary for Mark Schemes
GCSE examinations are marked in such a way as to award positive achievement wherever possible.
Thus, for GCSE Mathematics papers, marks are awarded under various categories.
If a student uses a method which is not explicitly covered by the mark scheme the same principles of
marking should be applied. Credit should be given to any valid methods. Examiners should seek advice
from their senior examiner if in any doubt.
M Method marks are awarded for a correct method which could lead
to a correct answer.
A Accuracy marks are awarded when following on from a correct
method. It is not necessary to always see the method. This can be
implied.
B Marks awarded independent of method.
ft Follow through marks. Marks awarded for correct working
following a mistake in an earlier step.
SC Special case. Marks awarded for a common misinterpretation
which has some mathematical worth.
M dep A method mark dependent on a previous method mark being
awarded.
B dep A mark that can only be awarded if a previous independent mark
has been awarded.
oe Or equivalent. Accept answers that are equivalent.
eg accept 0.5 as well as 1
2
[a, b] Accept values between a and b inclusive.
[a, b) Accept values a ⩽ value < b
3.14 … Accept answers which begin 3.14 eg 3.14, 3.142, 3.1416
Use of brackets It is not necessary to see the bracketed work to award the marks.
3
, MARK SCHEME – GCSE MATHEMATICS – 8300/1H –
JUNE 2023
Examiners should consistently apply the following principles.
Diagrams
Diagrams that have working on them should be treated like normal responses. If a diagram has been
written on but the correct response is within the answer space, the work within the answer space should be
marked. Working on diagrams that contradicts work within the answer space is not to be considered as
choice but as working, and is not, therefore, penalised.
Responses which appear to come from incorrect methods
Whenever there is doubt as to whether a student has used an incorrect method to obtain an answer, as a
general principle, the benefit of doubt must be given to the student. In cases where there is no doubt that
the answer has come from incorrect working then the student should be penalised.
Questions which ask students to show working
Instructions on marking will be given but usually marks are not awarded to students who show no working.
Questions which do not ask students to show working
As a general principle, a correct response is awarded full marks.
Misread or miscopy
Students often copy values from a question incorrectly. If the examiner thinks that the student has made a
genuine misread, then only the accuracy marks (A or B marks), up to a maximum of 2 marks are penalised.
The method marks can still be awarded.
Further work
Once the correct answer has been seen, further working may be ignored unless it goes on to contradict the
correct answer.
Choice
When a choice of answers and/or methods is given, mark each attempt. If both methods are valid then
M marks can be awarded but any incorrect answer or method would result in marks being lost.
Work not replaced
Erased or crossed out work that is still legible should be marked.
Work replaced
Erased or crossed out work that has been replaced is not awarded marks.
Premature approximation
Rounding off too early can lead to inaccuracy in the final answer. This should be penalised by 1 mark
unless instructed otherwise.
Continental notation
Accept a comma used instead of a decimal point (for example, in measurements or currency), provided that
it is clear to the examiner that the student intended it to be a decimal point.
4
, MARK SCHEME – GCSE MATHEMATICS – 8300/1H –
JUNE 2023
Q Answer Mark Comments
(0).35 B1 oe
Additional Guidance
Mark the answer line. If this is blank, mark the working
If values are given in one or more forms, either on the answer line or in
working with nothing on the answer line, all values must be correct
7
1(a) eg1 0.35 = on answer line
B1
20
35 35
eg2 and 3.5 in working with on answer line B1
100 100
35
eg3 and 3.5 in working with 3.5 on answer line B0
100
35
eg4 and 3.5 in working with answer line blank B0
100
Q Answer Mark Comments
5 10
B1 oe eg
18 36
Additional Guidance
Mark the answer line. If this is blank, mark the working
Allow 0.277… (minimum two 7s and two dots) or correct notation for
recurring decimals
1(b) If values are given in one or more forms, either on the answer line or in
working with nothing on the answer line, all values must be correct
5
eg1 = 0.277… on answer line B1
18
5
eg2 and 0.518 in working with answer line blank B0
18
2
13 1.66...
or without answer in correct form
6 B0
6
5
JUNE 2023
AQA
GCSE
MATHEMATICS
8300/1H
Higher Tier Paper 1 Non-Calculator
Mark scheme
June 2023
2
, MARK SCHEME – GCSE MATHEMATICS – 8300/1H –
JUNE 2023
Glossary for Mark Schemes
GCSE examinations are marked in such a way as to award positive achievement wherever possible.
Thus, for GCSE Mathematics papers, marks are awarded under various categories.
If a student uses a method which is not explicitly covered by the mark scheme the same principles of
marking should be applied. Credit should be given to any valid methods. Examiners should seek advice
from their senior examiner if in any doubt.
M Method marks are awarded for a correct method which could lead
to a correct answer.
A Accuracy marks are awarded when following on from a correct
method. It is not necessary to always see the method. This can be
implied.
B Marks awarded independent of method.
ft Follow through marks. Marks awarded for correct working
following a mistake in an earlier step.
SC Special case. Marks awarded for a common misinterpretation
which has some mathematical worth.
M dep A method mark dependent on a previous method mark being
awarded.
B dep A mark that can only be awarded if a previous independent mark
has been awarded.
oe Or equivalent. Accept answers that are equivalent.
eg accept 0.5 as well as 1
2
[a, b] Accept values between a and b inclusive.
[a, b) Accept values a ⩽ value < b
3.14 … Accept answers which begin 3.14 eg 3.14, 3.142, 3.1416
Use of brackets It is not necessary to see the bracketed work to award the marks.
3
, MARK SCHEME – GCSE MATHEMATICS – 8300/1H –
JUNE 2023
Examiners should consistently apply the following principles.
Diagrams
Diagrams that have working on them should be treated like normal responses. If a diagram has been
written on but the correct response is within the answer space, the work within the answer space should be
marked. Working on diagrams that contradicts work within the answer space is not to be considered as
choice but as working, and is not, therefore, penalised.
Responses which appear to come from incorrect methods
Whenever there is doubt as to whether a student has used an incorrect method to obtain an answer, as a
general principle, the benefit of doubt must be given to the student. In cases where there is no doubt that
the answer has come from incorrect working then the student should be penalised.
Questions which ask students to show working
Instructions on marking will be given but usually marks are not awarded to students who show no working.
Questions which do not ask students to show working
As a general principle, a correct response is awarded full marks.
Misread or miscopy
Students often copy values from a question incorrectly. If the examiner thinks that the student has made a
genuine misread, then only the accuracy marks (A or B marks), up to a maximum of 2 marks are penalised.
The method marks can still be awarded.
Further work
Once the correct answer has been seen, further working may be ignored unless it goes on to contradict the
correct answer.
Choice
When a choice of answers and/or methods is given, mark each attempt. If both methods are valid then
M marks can be awarded but any incorrect answer or method would result in marks being lost.
Work not replaced
Erased or crossed out work that is still legible should be marked.
Work replaced
Erased or crossed out work that has been replaced is not awarded marks.
Premature approximation
Rounding off too early can lead to inaccuracy in the final answer. This should be penalised by 1 mark
unless instructed otherwise.
Continental notation
Accept a comma used instead of a decimal point (for example, in measurements or currency), provided that
it is clear to the examiner that the student intended it to be a decimal point.
4
, MARK SCHEME – GCSE MATHEMATICS – 8300/1H –
JUNE 2023
Q Answer Mark Comments
(0).35 B1 oe
Additional Guidance
Mark the answer line. If this is blank, mark the working
If values are given in one or more forms, either on the answer line or in
working with nothing on the answer line, all values must be correct
7
1(a) eg1 0.35 = on answer line
B1
20
35 35
eg2 and 3.5 in working with on answer line B1
100 100
35
eg3 and 3.5 in working with 3.5 on answer line B0
100
35
eg4 and 3.5 in working with answer line blank B0
100
Q Answer Mark Comments
5 10
B1 oe eg
18 36
Additional Guidance
Mark the answer line. If this is blank, mark the working
Allow 0.277… (minimum two 7s and two dots) or correct notation for
recurring decimals
1(b) If values are given in one or more forms, either on the answer line or in
working with nothing on the answer line, all values must be correct
5
eg1 = 0.277… on answer line B1
18
5
eg2 and 0.518 in working with answer line blank B0
18
2
13 1.66...
or without answer in correct form
6 B0
6
5
