Version 1.0. General Certificate of Secondary Education Practice Paper Set 4. Mathematics (Linear) B. Paper 2 Higher Tier 4365/2H.

Transcription

1 Version 1.0 General Certificate of Secondary Education Practice Paper Set 4 Mathematics (Linear) B Paper Higher Tier 465/H 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. Copyright 01 AQA and its licensors. All rights reserved. COPYRIGHT AQA retains the copyright on all its publications. However, registered schools and colleges 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 schools or colleges to photocopy any material that is acknowledged to a third party even for internal use within the school or college. 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 6447) and a registered charity (registered charity number 1074). Registered address: AQA, Devas Street, Manchester 5 6EX

3 AQA GCSE Mathematics (Linear) 465H - Practice Paper 4 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 Q M Dep B Dep ft SC oe 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. Marks awarded for quality of written communication. (QWC) 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 Practice Paper 4 465/H - AQA GCSE Mathematics (Linear) Paper Higher Tier or 0.5 seen B or or oe 450 and 75 and 10 x + x x + x + 1 oe 6x = 4 oe Need not be simplified 6x = 4 + Collecting terms 7.5 oe Fully correct method shown for solving their equation Q1 Strand (ii) Two columns and two rows B1 At least 0, 1, Two-way table drawn with all possibilities exhausted B1 B or 540 seen 180 their 7 or Their 108 ( ) 54 5(a) oe or or 6 Add 6 1 5(b) 5 B1 6 4

5 Practice Paper 4 465/H - AQA GCSE Mathematics (Linear) 6 (4, 6) B1 (6, 1) B1 SC1 For coordinates giving a parallelogram 7 π 0 π ( 100) (π 0 0) or 75 (π 0 0).97 or.9(7 ) 4 Q1ft Strand (i) - Rounding up or or 1984 Their Dep 000 their (a) 15 < h 0 B1 9(b) Mid values seen Allow one error.5, 7.5, 1.5, 17.5,.5 fx At least one correct product.5 1 (= 77.5) (= 55) (= 675) (= 110.5).5 68 (= 150) Their or 14.6 Accept 15 with working shown 9(c) Valid reason B1 Valid working to support reason B1 5

6 Practice Paper 4 465/H - AQA GCSE Mathematics (Linear) (= 10) Their (= 550) oe Their oe (a) B1 7 B1 11(b) Points plotted correctly B1ft ± 1 square Smooth curve through their points B1ft 11(c) Reads off their points of intersection with the x-axis Bft B1ft For each ± 1 square 1(a) 1 (65 + 8) (b) Their (a) Triangle drawn on graph or equivalent readings taken eg 6 across and 5 up 6 5 1(b) y = 5 6 x + B1 ft 14 1 gallon = 4.5 litres or better seen or implied B1 oe 6 their 4.5 Their

7 Practice Paper 4 465/H - AQA GCSE Mathematics (Linear) ² +.5² 5.5 (=.75) and.5 (= 1.75) Dep.75² ² Their 6.5(19.) Dep (59 ). B1ft 16(a) x + x + 90 oe x + 90 = 180 Dep oe (x) = 0 16(b) x + y + 90 = 180 or x + y + y + 90 = 180 or Their 60 + y = 90 or Their x 15 ft 17(a) (x 5)(x ) B B1 For (x + a)(x + b) where ab = ± 15 17(b) (x + 1)(x ) B B1 For (x + c)(x + d) where cd = ± x 5 x 1 B = 6.08 Allow one error 1 15 = 5.9(9 ) 0 5 =

8 Practice Paper 4 465/H - AQA GCSE Mathematics (Linear) 19 1 or or 15 9 or or or 11 B Total must equal 74 or 75 for B eg gives 75 total B For, 4 or 5 values correct B1 For 1 or values correct 0 (x 1) or (x 7) seen 0 = 1 + b = c or 0 = b + c (x 1) (x 7) x 8x + 7 b = 8 and c = (= 510) oe ² or oe Tree diagram drawn with correct or or seen probability on at least one branch or or Dep oe Tree diagram drawn with correct probability on at least one pair 1 eg, and Dep Tree diagram with all products seen oe SC For 100 8

9 Practice Paper 4 465/H - AQA GCSE Mathematics (Linear) (n 1)( n 1) n( n 1) or n n With or without denominator n( n 1) (n 1)( n 1) n With or without denominator n( n 1) n( n 1) n n 1 n( n 1) n n( n 1) n n 1 n n( n 1) n 1 n( n 1) ( ) 4 15 or ( ) Dep 7068.(58) or 7100 or or 8.5 seen B cos cos 110 Dep 1. 6(a) B B1 For answer not in standard form eg, (b) B B1 For answer not in standard form eg,

10 Practice Paper 4 465/H - AQA GCSE Mathematics (Linear) 7 ( 4) (14) 4 () ( 5) Allow error () = ( 4) (14) () 4 () ( 5).87 or