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

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1 General Certificate of Secondary Education Practice Paper Set 1 Mathematics (Linear) B 35 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 373) and a registered charity (registered charity number 7333). Registered address: AQA, Devas Street, Manchester 5 EX

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 Bdep 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. eg, accept 0.5 as well as 1

4 AQA GCSE Mathematics Linear 35 / Paper Higher /Practice Paper / Set their or their 10 their or or 93 (a) (w 5) B1 (b) 7x + 3x or x = 3 (a) 3 (b) Bearing of 1 Accept [8, 11 ] Straight line joining Karak and Safawi and Ezraq marked. 1. or or. 70 dep Accept [1.5, 1.7] Accept [.3,.5] 80 Accept [55, 305]

5 AQA GCSE Mathematics Linear 35 / Paper Higher /Practice Paper / Set 1 Compare two of ( kg) Compare the third one with the better of the first comparison Correct answers of ( )17.88 ( )17.80 ( )17.98 dep Correct conclusion from their working packs of 1.5 kg Q1 Strand (iii) Dependent on M marks Alt Correct answers 8.90 and and.5 Compared with 8.99 (3 kg) Compared with.5 (1.5 kg) Correct conclusion from their working packs of 1.5 kg Q (+) 8 (+) 3 5 their 0 50 dep their ( ) 18.5 (0) + 85 or dep 973.5(0) 973.(50) and no Q1ft Strand (iii) Organised response and conclusion based on values stated 7 (a) 0.80 Q1 Strand (i) 7 (b) Trousers, Dress B B1 for 1 correct (and 1 incorrect) 7 (c) or

6 AQA GCSE Mathematics Linear 35 / Paper Higher /Practice Paper / Set 1 8 (a) points plotted correctly B3 B for 8 or 9 points B1 for or 7 points 1 square tolerance 8 (b) No correlation B1 8 (c) B B1 for seen or their 9 (a) x 7 B1 9 (b) w 5 B1 9 (c) y + + y 3 Allow one error 8y + 3 (a) and 1 B B1 for each (b) All 7 points plotted correct B 1 ± square tolerance B1 for 5 or points correct Smooth curve B1ft ft their points (c) No and valid reason B1 eg when x =, y = 7 ( ) 11 π 5 5 ( ) { π 5 5} ( ) ( ) dep 1. 1 B1ft 1 Correct translation with vertices at (7, ), (9, ) and (7, 5) B B1 for translation correct in one direction or or (a) (b) their ft

7 AQA GCSE Mathematics Linear 35 / Paper Higher /Practice Paper / Set or or seen dep seen B dep 30 1 (a) (c + 3) (c + 1) B B1 for c + 3c + c + 9 or c or c + c + 3 or (c + 3) (c + 3 ) x + y (= 7y 5) 1 (b) x = 3y 5 x = 3y 5 1 (c) Never true Sometimes true B1 B1 (3x) + (x) = 35 or Hypotenuse = 5x seen or implied 9x + 1x = or 9 5x = or or 1 7 (= 8) Tests x = 7 in Pythagoras = Alt 3x + x + 35 = 8 Uses perimeter to get x = 7 7x = 9 x = 7 Must test in Pythagoras to be valid

8 AQA GCSE Mathematics Linear 35 / Paper Higher /Practice Paper / Set (...) or or or or or 3 5 B1ft 19 ( ) ( ) and 0.7 Allow 1 error fully correct or 795 seen B or 11.5 seen B or their max their min 7.(1 ) or 7. m/s B1 3 o or 58 seen B1 1 cos 3 = or sin 58 = h 7.1 h 7.1 (h =).0 ( ) or 7.1 cos 3 or 7.1 sin their h 8.1(9 ) ft Allow one error in nd fraction or

9 AQA GCSE Mathematics Linear 35 / Paper Higher /Practice Paper / Set 1 3 Completion of vertical scale 0., 1., 1.8,., 3.0, 3.,.,.8 3. or or or or or per cm square 3 Alt 1 ( ) ( 3) or or 5 ( ) 3 or 5 or or Alt one of 0, 70, 10, 15 or 9 seen two of 0, 70, 10, 15 or 9 seen or or or x x 3 1 = (x 3) or 8(x 3) or 7x or 1x 8(x 3) + 1x = x 3x x 5x + = 0 (x )(x 1) (= 0) (x =) Q1 Strand (iii) Value chosen that makes and x 7 x 3 between 0 and 1