General Certificate Secondary of Education Mathematics 43601F Unit 1 Foundation Tier Practice Paper Set 2 Mark Scheme Mark Schemes Principal Examiners have prepared these mark schemes for specimen 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: www.aqa.org.uk Copyright © 2010 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 3644723) and a registered charity (registered charity number 1073334). Registered address: AQA, Devas Street, Manchester M15 6EX AQA GCSE Mathematics – 43601F – Mark Scheme – Practice Paper Set 2 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 Method marks are awarded for a correct method which could lead to a correct answer. A Accuracy marks are awarded when following on from a correct method. It is not necessary to always see the method. This can be implied. B Marks awarded independent of method. Q Mark for Quality of Written Communication (QWC) M dep A method mark dependent on a previous method mark being awarded. B dep A mark that can only be awarded if a previous independent mark has been awarded. ft Follow through marks. Marks awarded following a mistake in an earlier step. SC Special case. Marks awarded within the scheme for a common misinterpretation which has some mathematical worth. oe Or equivalent. Accept answers that are equivalent. eg, accept 0.5 as well as 1 2 3 AQA GCSE Mathematics – 43601F – Mark Scheme – Practice Paper Set 2 Answer Q Mark Comments 30 (+) 5 M1 35 A1 1 2 M1 oe Divides Spinach bar into 2 equal parts Bar for tomato at height 10 A1 If bar clearly wider than 1 cm M1A0 50 ÷ 20 M1 1(a) 1(b) × 20 (= 10) oe May see method on graph Allow build up eg 20 + 20 + 20 = 60 1(c) 3 or 2.5 A1 5, 3, 7, 2, 4 B2 Five correct frequencies 1(d)(i) B1 three or four correct 1(d)(ii) 21 B1ft their 21 ÷ 5 M1 4.2 and Finn eats more on average A1 7–2=5 B1 1(d)(iii) Follow through their frequencies oe Strand (iii) Supporting answers with explanation and evidence The number of portions Finn eats is more varied. Q1 Finn eats more on average and the number of portions is greater. oe ft their values (very) unlikely 2(a) B2 B1 for 1 correct = 84 + 6 B1 Seen or implied eg not fair = Their 90 ÷ 3 M1 oe 30 A1 impossible 3 4 2(b) Meets all 3 criteria ie Spring = 6, Summer = mode and Autumn = 2 × Winter 3 3 4 B3 B2 for two criteria correct B1 for one correct 4 AQA GCSE Mathematics – 43601F – Mark Scheme – Practice Paper Set 2 B2 for 4 or 5 correct 4(a) CSC, SCC, CSS, SCS, SSC, CCC B3 B1 for at least 3 correct ignore repetitions oe 4(b) 2 1 ( ) 8 4 B1ft ft providing a score of B1 in (a) (£)5(.00) – (3 × (£)1.3(0)) M1 oe (£)1.10 Q1 Strand (i) Do not accept 1.1 40 × 1.2 (0)(+) 25 × 0.9 (0)(+) 12 × 1.3(0) M1 oe allow one error 4(c)(i) 4(c)(ii) Their (48 + 22.5(0) + 15.6(0)) M1dep 86.1(0) and Sunday A1 0.02 × 400.(00) M1 oe 0.05 × 200.(00) M1 oe 8 or 12 A1 8 and 12 and No A1 5 Accept 4 oe more to pay eg 3, 5, 7 or 3.5, 4, 7.5 6(a) Any three numbers with total 15 and range 4 B2 B1 Total 15 or range 4 6(b) A different set of three numbers with total 15 and range 4 B1 5 AQA GCSE Mathematics – 43601F – Mark Scheme – Practice Paper Set 2 stem 1, 2, 3, 4 and suitable key B1 leaves 27 B1 one error 7(a) 0245578 B2 unordered is one error 136679 04568 7(b)(i) 7(c) 8(a) stem, leaves and aligned correctly to show distribution Q1 Strand (ii) Logical organised working 32 B1ft ft No and (Tuesday’s median =) 40 – 50 (which is only) 8 – 18 minutes more B2ft 850(000) 4275(000) M1 100 from their diagram B1 for partial explanation eg correct median class for Tuesday seen oe 19.8(9....) A1 20 with working 850(000) ÷ 17 × 15 M1 oe 750 000 A1 70 – ((0 × 2) + 2 × 5 + 3 × 12 + 4 × 5) (= 4) M1 8(b) 9(a) 2 + their 4 + 5 + 12 + 5 M1 dep 28 A1 Mention of collecting data about income and number of MP3 players or mention of method of selecting sample B1 eg Do a survey asking income of families and number of MP3 players Mention of summary statistics, a suitable graph or other calculation for comparison B1 eg Plot a scatter diagram of income of families and number of MP3 players 9(b) eg Look for correlation and decide whether families with higher incomes own more MP3 players. Mention of interpreting results and link to given hypothesis B1 In the planning of testing any hypothesis, we are expecting the steps of the data handling cycle to be used 6