GCSE MATHEMATICS. Practice Papers Set 1 Teacher Booklet. NEW PRACTICE PAPER SET 1 Higher Tier Paper 1 Mark Scheme (Published September 2015) 8300/1H

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1 Practice Papers Set 1 Teacher Booklet GCSE MATHEMATICS NEW PRACTICE PAPER SET 1 Higher Tier Paper 1 Mark Scheme (Published September 015) 8300/1H Version 1.0

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 [a, b] Accept values between a and b inclusive Allow answers which begin 3.14 eg 3.14, 3.14, Use of brackets It is not necessary to see the bracketed wk to award the marks. Page Version 1.0

3 MARK SCHEME GCSE MATHEMATICS NEW PRACTICE PAPER SET 1 PAPER 1 HIGHER 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 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 1.0 Page 3

4 Q Answer Mark Comments 1(a).301 1(b) n B f digits 536 eg (a) strong positive 5(b) Straight ruled line of best fit Through (30, 1) to (35, 1) and (60, 6) to (65, 6) 4 5(c) Refers to danger when extrapolating outside the range of the data given Refers to difficulty of interpolation at certain points eg 35 lessons suggests 1 tests eg line of best fit might not continue eg 0 lessons suggests 0 tests Page 4 Version 1.0

5 MARK SCHEME GCSE MATHEMATICS NEW PRACTICE PAPER SET 1 PAPER 1 HIGHER Q Answer Mark Comments Alternative method Valid comparison eg and and and Must see wking Alternative method (%) 6.5(%) 50(%) 0.4 and 0.65 and and (%) and 6.5(%) and 50(%) 10(%) and 1.5(%) Must see wking 5 Crect two rectangles shaded 7(a) Crect three rectangles shaded 7(b) 7(c) ab + ad + cd eg unsimplified eg d(a + c) + ab Version 1.0 Page 5

6 Q Answer Mark Comments 8 3 9(a) Ben and valid reason eg shtest time Took 4.5 minutes Makes 4 crect statements Max B3 f only referring to boys Must refer to all 3 boys Max B f only referring to 1 boy f each valid statement 9(b) B4 Valid statements could include: Alan started in the lead (Ben nd, Carl 3rd) After.5 minutes / 500 m Ben slowed down After 3.5 minutes / 600 m Ben increased speed After 4 minutes / 600 m Carl increased speed After 3 minutes / 800 metres Alan stopped (f 0.5 minutes) After 3.5 minutes Alan set off again Alan and Carl both finish in 5 minutes Ben and Carl both finish at the same speed Finishing der: Ben wins, Alan and Carl tie f nd (x + 3y = 15.5) x + y = 1 (x + 3y = 15.5) 3x + 3y = 18 Equates cfficients 10 y = 3.5 x =.5 x =.5 and y = 3.5 Page 6 Version 1.0

7 MARK SCHEME GCSE MATHEMATICS NEW PRACTICE PAPER SET 1 PAPER 1 HIGHER Q Answer Mark Comments 15 from B 5 integers with at least two criteria mode 6 median 8 and total B3 do not award B f mode and median only 5 integers with any one of these criteria mode 6 median 8 total 50 14x + 8 4x Allow one err 1 10x 15 5(x 3) 13(a) Measure [8, 8.4] their [8, 8.4] 80 their [8, 8.4] [6.4, 6.7] 6 7 ft ft their [8, 8.4] Estimate is low as road not straight 13(b) Estimate is low if average speed is lower Estimate is high if average speed is higher 14(a) Scale fact seen Accept 10 : : (b) Between 1 and clockwise Version 1.0 Page 7

8 Q Answer Mark Comments May be implied from the crect final shape B A 15 ft their shape ft one crect codinate B Bft A Page 8 Version 1.0

9 MARK SCHEME GCSE MATHEMATICS NEW PRACTICE PAPER SET 1 PAPER 1 HIGHER Q Answer Mark Comments y(x 5) = 4 3x xy 5y = 4 3x 16 xy + 3x = 4 + 5y x( y + 3) = 4 + 5y Isolating x terms x = 4 5y y dep their 10 1 May be on diagram (19, 9) 15 3 = = 9 (31 their 19) (their 9 3) 4 3 their their (11, 13) May be implied (%) % 3. % decrease ft ft their with both method marks awarded Version 1.0 Page 9

10 Q Answer Mark Comments x 10x + 10x 5 Allow one err 4x 5 6x + 14x 15x 35 6x x x + 14x + 15x x + 9x x 10x + 10x 5 4x 5 Fully crect 6x + 14x 15x 35 6x x 35 6x + 14x + 15x x + 9x x 3 + 8x 75x 175 Use of = 5 18 = 9 eg One term simplified ie Two terms simplified ie a = 1 Page 10 Version 1.0

11 MARK SCHEME GCSE MATHEMATICS NEW PRACTICE PAPER SET 1 PAPER 1 HIGHER Q Answer Mark Comments Crect graph drawn 3(a) Crect graph drawn 3(b) Crect graph drawn 3(c) Version 1.0 Page 11

12 Q Answer Mark Comments 4(a) n 1 n n 1 n n n 1 n n 1 with cancelling shown n n > 0.9 n > 0.9n 4(b) 0.1n > n > 0 dep 1 SC1 n = 0 5 BE = a AE = a 3 3 5(a) a their their BE + b AE + b 3 5 a + b b 3 5 a EF = 5 ED 5(b) 3 a + 5 b ft ft their ED Copyright 015 AQA and its licenss. All rights reserved. AQA retains the copyright on all its publications. However, registered schools/colleges f AQA are permitted to copy material from this booklet f their own internal use, with the following imptant exception: AQA cannot give permission to schools/colleges to photocopy any material that is acknowledged to a third party even f internal use within the centre. Page 1 Version 1.0