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AQA A/AS LEVEL _MARK SCHEME_LEVEL 2 CERTIFICATE FURTHER MATHEMATICS 8360/1 Paper 1 Non-Calculator BEST FOR 2022 ACTUAL EXAM REVIEW

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AQA A/AS LEVEL LEVEL 2 CERTIFICATE FURTHER MATHEMATICS 8360/1 Paper 1 Non-Calculator BEST FOR 2022 ACTUAL EXAM REVIEW Correct expansion, then p + 6 = 4 followed by p = 2 (incorrect) would give k = 5 on ft ... allow ft mark for k M1, A0 M1, A1ft In Alt 2 substituting x = 1 leads to k = 3 (a second equation would be needed to gain further marks) M1, A1 5 2 x 10 = 23 or 2 x 10 = 8 or 2 x = 18 M1 23  10 8  10 x  or x  2 2 or x = 9 or 4x = 182 or x = 92 M1dep x = 81 A1 ± 81 scores A0 Additional Guidance Q Answer Mark Comments 2a b 3 = 8 −b −a 4 −7 M1 6a + 4b = 8 and  3b – 4a = −7 M1dep oe allow these to be written as a matrix equation in all likelihood this will imply M2 as the matrices may not be seen Solve eg 12a + 8b = 16 oe and –12a  9b = −21 for making coefficients of a or b equal or 18a + 12b = 24 and –16a  12b = −28 dependent on first M1 only or substitution eg a = 8 − 4b M1dep oe 6 6 and −4 (8 − 4b) − 3b = −7 6 or b = 4 – 3a 2 and −4a − 3(4 – 3a) = −7 2 a = 2 or b = 5 A1 a = 2 and b = 5 A1 Additional Guidance Matrices wrong way round can be recovered by correct equations in second M Point written as coordinates rather than a matrix can be recovered by correct equations in second M a or b correct with no incorrect working M1, M1, M1, A1, A0 Q Answer Mark Comments 7 B4 B1 for a straight line from (−1, 2) to (0, 0). This should be drawn with a ruler (give BOD) B1 for a quadratic style curve through (0, 0), (1, 3), (2, 4) and (3, 3) within tolerance. Condone one straight line between only one of the sections between (0, 0) and (1, 3), (1, 3) and (2, 4) or (2, 4) and (3, 3) B1 for any quadratic graph drawn with correct curvature and no straight lines (see examples) with clear vertices at (0,0) and (3,3) and within tolerance for these points. There needs to be evidence of a maximum turning point drawn. B1 for a straight line from (3, 3) to (4, 5). This should be drawn with a ruler (give BOD) SC1 for all six stated points plotted correctly and clearly defined (don’t need to be joined up or could be joined up incorrectly). If any incorrect points plotted then no marks can be awarded 7 Additional Guidance Tolerance of plot ± 2mm for each stated point (these are 1cm squares) For f(x) = −2x extending to the left of x = −1 or f(x) = 2x – 3 extending to the right of x = 4 greater than 2mm, award maximum 1 mark from B1 B1 only for a section that would have otherwise scored ie. If both lines extended then B0 B1 If more than one line drawn in any section then choice so loss of marks Ignore shading under or over the lines as long as the graph is clear Further Additional Guidance on next page 7 Additional Guidance This would score for the Some feathering but close second B mark only enough to score B4 B0 but had the line Straight lines both correct but penalised one stopped at (4,5) it would mark for the first one extending beyond the have gained B1 domain B1. Quadratic out of tolerance for (1,3) B0. Correct curvature and vertices B1

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LEVEL 2 CERTIFICATE
FURTHER MATHEMATICS
8360/1
Paper 1 Non-Calculator
Mark scheme
June 2019
Version: 1.0 Final




*jun1983601/MS*

, MARK SCHEME – LEVEL 2 CERTIFICATE FURTHER MATHEMATICS – 8360/1 –
JUNE 2019



Mark schemes are prepared by the Lead Assessment Writer and considered, together with
the relevant questions, by a panel of subject teachers. This mark scheme includes any
amendments made at the standardisation events which all associates participate in and is
the scheme which was used by them in this examination. The standardisation process
ensures that the mark scheme covers the students’ responses to questions and that every
associate understands and applies it in the same correct way.
As preparation for standardisation each associate analyses a number of students’ scripts.
Alternative answers not already covered by the mark scheme are discussed and legislated for.
If, after the standardisation process, associates encounter unusual answers which have not
been raised they are required to refer these to the Lead Assessment Writer.

It must be stressed that a mark scheme is a working document, in many cases further
developed and expanded on the basis of students’ reactions to a particular paper.
Assumptions about future mark schemes on the basis of one year’s document should be
avoided; whilst the guiding principles of assessment remain constant, details will change,
depending on the content of a particular examination paper.


Further copies of this mark scheme are available from aqa.org.uk




2

, MARK SCHEME – LEVEL 2 CERTIFICATE FURTHER MATHEMATICS – 8360/1 –


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.


M dep A method mark dependent on a previous method
mark being awarded.


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.


B dep A mark that can only be awarded if a previous
independent mark has been awarded.


ft Follow through marks. Marks awarded following a
mistake in an earlier step.


SC Special case. Marks awarded within the scheme
for a common misinterpretation which has some
mathematical worth.


oe Or equivalent. Accept answers that are equivalent.
1
eg, accept 0.5 as well as
2

[a, b] Accept values between a and b inclusive.


3.14… Accept answers which begin 3.14 eg 3.14, 3.142,
3.1416




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