klm Mark Scheme General Certificate of Secondary Education Practice Paper Set 2 Mathematics (Linear) B 4365 Paper 2 Higher Tier

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1 klm General Certificate of Secondary Education Practice Paper Set Mathematics (Linear) B 4365 Paper Higher Tier Mark Scheme

2 Mark Schemes Principal Examiners have prepared these mark schemes for practice papers. These mark schemes have not, therefore, been through the normal process of standardising that would take place for live papers. Further copies of this Mark Scheme are available to download from the AQA Website: Copyright 011 AQA and its licensors. All rights reserved. COPYRIGHT AQA retains the copyright on all its publications. However, registered centres for AQA are permitted to copy material from this booklet for their own internal use, with the following important exception: AQA cannot give permission to centres to photocopy any material that is acknowledged to a third party even for internal use within the centre. Set and published by the Assessment and Qualifications Alliance. The Assessment and Qualifications Alliance (AQA) is a company limited by guarantee registered in England and Wales (company number ) and a registered charity (registered charity number ). Registered address: AQA, Devas Street, Manchester 5 6EX

3 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. M A B M dep B dep ft SC Method marks are awarded for a correct method which could lead to a correct answer. Accuracy marks are awarded when following on from a correct method. It is not necessary to always see the method. This can be implied. Marks awarded independent of method. 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. Follow through marks. Marks awarded following a mistake in an earlier step. Special case. Marks awarded within the scheme for a common misinterpretation which has some mathematical worth. Or equivalent. Accept answers that are equivalent. 1 eg, accept 0.5 as well as

4 AQA GCSE Mathematics Linear 4365 / Paper Higher /Practice Paper / Set B B1 for 17.9(...) Attempts to list all outcomes At least 4 correct Lists all outcomes correctly Identifies 1, 15, 16, 18, 5 and 36 States 6 outcomes greater than 10 6 = 50% 1 x + 5x + x + 80 = 360 8x = x = 35 Angle C = 35 from Logical solution to find x and stating that angle A = angle B Q1 Strand (ii) for correct conclusion (= 930) 0.15 their 930 (=139.5) 4(a) their 930 their their and yes Correct method for finding total cost with discount Q1 Strand (iii) (b) their (a) (b) their their

5 AQA GCSE Mathematics Linear 4365 / Paper Higher /Practice Paper / Set 6(a) No time frame B1 6(b) No box for 4 B1 7(a) Correct heights plotted Mid values used and polygon drawn B1 B1 7(b) or or any equivalent fraction, decimal or percentage 8(a) Correct reflection drawn B B1 for any reflection Rotation B1 8(b) 90 clockwise B1 (3, 4) B1 Mid values seen 10, 30, 50, 70, ( 1) ( 1) or Allow one error 4 hours 6 minutes B1ft 57 minutes 10 (, ) and (6, 6) B B1 for and 6 seen or for x-coordinate of B equal to 3 times x- coordinate of A or coordinates of A and B so that midpoint is (4, 4), i.e. (1, 1) and (7, 7) 11(a) or (78 3) and no or 5.5( ) and no 11(b) 3 seen or reads off at

6 AQA GCSE Mathematics Linear 4365 / Paper Higher /Practice Paper / Set 0.7a 0.a = 3 + 1(a) 0.5a = (b) 4b 8 B1 1(c) c 6 5 d B B1 for c 6 or d 5 seen as part of answer 1(d) x(x + 3y) B B1 for one part correct 1(e) c 3 B or seen 5 50 x = tan seen or used 0 tan x = or 39 5n 3n or n 3n < n < or and and 6 17a) 5 and 4 B B1 for each 17(b) All five points plotted B1 ± 1 square Smooth curve through five points B1 6

7 AQA GCSE Mathematics Linear 4365 / Paper Higher /Practice Paper / Set 17(c) [1.5, 1.7] B1ft B1ft from their graph 18(a) 60 B1 May be on diagram 18(b) (AOC =) 116 or (BOC =) 58 C = 90 or May be on diagram May be on diagram 3 May be on diagram 18(c) 70 B1 Alternate segment (theorem) Q1 Strand (i) 19(a) H α d or H = kd 1.65 = k 0.1 H = 165d Any letter for k 19(b) (15) or seen B or 6.05 seen B ( ) ( ) or and and and Cannot tell and valid conclusion Q1 AM = a a + b AM = 3 a + b 1 MB = 3 4 a b + 3b MB = 3 4 a + b MB = AM B1ft 7

8 AQA GCSE Mathematics Linear 4365 / Paper Higher /Practice Paper / Set (a) x 3x + x 3 Allow one error x x 3 (width =) 1 (x + 1) 3(b) 1 (x + 1) + (x + 1) 1 (x + 1) + (x + 1) = 4(x 1) or 4 + (x + 1) = 4(x 1) (x + 1) or 4 + (x + x + 1) = 4x 4 x 4x 30 = 0 or x x 15 = 0 or (x 5)(x + 3) = 0 5 4x 4 (x + ) Alt 3(b) (w =)x 3 (x 3)( x + 1) = 1 or x 3x + x 3 = 1 x x 15 = 0 or (x 5)(x + 3) = 0 5 8

General Certificate of Secondary Education Practice Paper Set 1. Mathematics (Linear) B 4365 Paper 2 Higher Tier. Mark Scheme

General Certificate of Secondary Education Practice Paper Set 1 Mathematics (Linear) B 35 Paper Higher Tier Mark Scheme Mark Schemes Principal Examiners have prepared these mark schemes for practice papers.