Practice Papers Set 1 Teacher Booklet GCSE MATHEMATICS. Original Specimen Assessment Materials Paper 2 Foundation Mark Scheme 8300/2F. Version 3.

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1 Practice Papers Set 1 Teacher Booklet GCSE MATHEMATICS Original Specimen Assessment Materials Paper 2 Foundation Mark Scheme 8300/2F Version 3.0 This mark scheme ds not reflect in full the expected standard and requirements f GCSE mathematics in 2017 and is superseded by the new specimen mark scheme published in June 2015

2 Principal Examiners have prepared these mark schemes f specimen papers. These mark schemes have not, therefe, been through the nmal process of standardising that would take place f live papers. Further copies of this Mark Scheme are available from aqa.g.uk Glossary f Mark Schemes GCSE examinations are marked in such a way as to award positive achievement wherever possible. Thus, f GCSE Mathematics papers, marks are awarded under various categies. 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 seni examiner if in any doubt. M A B ft SC M dep B dep Method marks are awarded f a crect method which could lead to a crect answer. Accuracy marks are awarded when following on from a crect method. It is not necessary to always see the method. This can be implied. Marks awarded independent of method. Follow through marks. Marks awarded f crect wking following a mistake in an earlier step. Special case. Marks awarded within the scheme f a common misinterpretation which has some mathematical wth. A method mark dependent on a previous method mark being awarded. A mark that can only be awarded if a previous independent mark has been awarded. 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 Allow answers which begin 3.14 eg 3.14, 3.142, Use of brackets It is not necessary to see the bracketed wk to award the marks. Page 2 Version 3.0

3 MARK SCHEME GCSE MATHEMATICS ORIGINAL SPECIMEN PAPER PAPER 2 FOUNDATION Examiners should consistently apply the following principles Diagrams Diagrams that have wking on them should be treated like nmal responses. If a diagram has been written on but the crect response is within the answer space, the wk within the answer space should be marked. Wking on diagrams that contradicts wk within the answer space is not to be considered as choice but as wking, and is not, therefe, penalised. Responses which appear to come from increct methods Whenever there is doubt as to whether a student has used an increct 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 increct wking then the student should be penalised. Questions which ask students to show wking Instructions on marking will be given but usually marks are not awarded to students who show no wking. Questions which do not ask students to show wking As a general principle, a crect response is awarded full marks. Misread miscopy Students often copy values from a question increctly. If the examiner thinks that the student has made a genuine misread, then only the accuracy marks (A B marks), up to a maximum of 2 marks are penalised. The method marks can still be awarded. Further wk Once the crect answer has been seen, further wking may be igned unless it gs on to contradict the crect answer. Choice When a choice of answers and/ methods is given, mark each attempt. If both methods are valid then M marks can be awarded but any increct answer method would result in marks being lost. Wk not replaced Erased crossed out wk that is still legible should be marked. Wk replaced Erased crossed out wk 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. Version 3.0 Page 3

4 Q Answer Mark Comments B1 1.1 (1) (1) a b B a (1) x = 12 B1 4 7 B1 1.1 (1) , 2, 3, 6, 9 and 18 B2 B1 f 4 5 crect (and 1 increct) 6 1.3b (4) implies M2 their their (0) dep A1 7(a) 3 B1 2.3a (1) 7(b) 2.3a (2) 7(c) Allow one err omission 20 A B1 2.1a (1) Page 4 Version 3.0

5 MARK SCHEME GCSE MATHEMATICS ORIGINAL SPECIMEN PAPER PAPER 2 FOUNDATION Q Answer Mark Comments 8(a) 2.3b (2) B2 B1 f 5 me crect (b) 2.5a (2) No and suitable explanation. B2ft eg 10 ways to lose and only 6 to win Me ways to lose ft their table in (a) B1 f No and a comment which is crect but not complete f example There are 6 ways to win Evens would be half each Gives a full explanation but ds not make a decision B1 f the chance is unlikely 9 3 B1 1.3a (1) a (1) [18, 22] B2 B1 f [16, 18) (22, 24] B1 f scale fact [9, 12] 2.1b (1) Version 3.0 Page 5

6 Q Answer Mark Comments 11(a) B2 B1 f 2 3 crect 11(b) At least 2 of their points crectly plotted Straight ruled line drawn from ( 3, 8) to (3, 10) A1 11(c) Draws the line y = x on the grid 2x = 1 1 = 2x 1 2 A1 12(a) A1 12(b) 3.4a (1) 3.5 (1) No, her yearly pay is me and 4 12 = 48 and not 52 B2 B1 f partial wking eg No, her yearly pay is me and 4 12 = weeks = in a year Me than 4 weeks in a month A b (1) 3.1b (2) B3 Any der B2 three numbers with two of these criteria a multiple of 15 two numbers in the ratio 10: 1 sum of 100 B1 a multiple of 15 two numbers in the ratio 10:1 three numbers with a sum of 100 Q Answer Mark Comments Page 6 Version 3.0

7 MARK SCHEME GCSE MATHEMATICS ORIGINAL SPECIMEN PAPER PAPER 2 FOUNDATION 15 Alternative method 1 1.3b (1) 3.1d (1) cost per song (66.75 their 0.89 =) 75 A1 Alternative method ( 40) ( 40) ( 66.75) ( 6675) songs per 75 A (1) 6 B1 1 17(a) 2.1a (1) Between 8 cm and 13 cm B1 17(b) 1.3a (1) 20 B a (2) any other prime whose digits add up to a square number B2 B1 any prime of 2 me digits B1 any number of 2 me digits whose digits add up to a square number Version 3.0 Page 7

8 Q Answer Mark Comments a (2) 3.3 (1) Alternative method unit cost of a roll and (0.)4725 and (0.)44. and pack of 9 A1 Alternative method rolls per and and and pack of 9 A1 Alternative method equivalent cost of 9 rolls their (25) and pack of 9 A1 Alternative method equivalent cost of 4 rolls their [1.76, 1.78] and pack of 9 A1 Alternative method scaling to 36 rolls and and and pack of 9 A1 Page 8 Version 3.0

9 MARK SCHEME GCSE MATHEMATICS ORIGINAL SPECIMEN PAPER PAPER 2 FOUNDATION Q Answer Mark Comments 20 Alternative method seen 5796 A1 Alternative method A1 Alternative method A minutes 2 1 hour B1 56 (miles) B b (2) Fully crect B2 B1 20 and 11 in crect positions Prediction Result Pass Pass 30 Fail 4 Fail 20 Pass 11 Fail 9 Version 3.0 Page 9

10 Q Answer Mark Comments a (1) 2.3a (1) 3, 4 and 6 chosen Maybe implied from a diagram 72 A1 24(a) 2.3a (1) 2 t < 4 B1 24(b) Alternative method 1 2.4a (2) and ( ) and 72 and No A1 Accept 88(.75)(%) and Yes because it rounds to 90 88(.75)(%) 89(%) and No Alternative method and (7 + 2) and 8 and No A1 11(.25)(%) 12(%) and No Page 10 Version 3.0

11 MARK SCHEME GCSE MATHEMATICS ORIGINAL SPECIMEN PAPER PAPER 2 FOUNDATION Q Answer Mark Comments b (2) 3.1d (4) 7 and 75 B1 their their their their their their 719 their 7 their A b (2) A1 19 SC1 Answer 2 y x ( ) ( ) 56 7 ( ) 40 Crect product with at least one prime fact A1 28 y 2 4y + 5y 20 Allow 1 err y 2 + y 20 A1 Version 3.0 Page 11

12 Q Answer Mark Comments 29(a) 8 cos x = 11 sin x = tan x = (.3.) A1 29(b) tan 40 = 37 y tan 50 = 37 y x = 48.3 and y 2 = cos sin ( ) A b (1) 3.1d (2) 3.3 (1) [753600, ] their [ , ] their their ( 60) (60 60 = ) [62.8, 62.84] and Yes [1.04, 1.05] and Yes 3600 and 3770 and Yes and 720 and Yes dep A1 [3768, ] [62.8, 62.84] [1.04, 1.05] Page 12 Version 3.0

13 MARK SCHEME GCSE MATHEMATICS ORIGINAL SPECIMEN PAPER PAPER 2 FOUNDATION Q Answer Mark Comments b (3) 100(%) 20(%) 80(%) Implied by eg and their and their and their (.80) and their 3276(.80) (.44) A1 Accept with full method seen Version 3.0 Page 13

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