Mark Scheme (Results) Summer 2022 Pearson Edexcel GCSE In Mathematics (1MA1) Higher (Calculator) Paper 2H Edexcel and BTEC Qualifications

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Mark Scheme (Results) Summer 2022 Pearson Edexcel GCSE In Mathematics (1MA1) Higher (Calculator) Paper 2H Edexcel and BTEC Qualifications Edexcel and BTEC qualifications are awarded by Pearson, ... the UK’s largest awarding body. We provide a wide range of qualifications including academic, vocational, occupational and specific programmes for employers. For further information visit our qualifications websites at www.edexcel.com or www.btec.co.uk. Alternatively, you can get in touch with us using the details on our contact us page at www.edexcel.com/contactus. Pearson: helping people progress, everywhere Pearson aspires to be the world’s leading learning company. Our aim is to help everyone progress in their lives through education. We believe in every kind of learning, for all kinds of people, wherever they are in the world. We’ve been involved in education for over 150 years, and by working across 70 countries, in 100 languages, we have built an international reputation for our commitment to high standards and raising achievement through innovation in education. Find out more about how we can help you and your students at: www.pearson.com/uk Summer 2022 Question Paper Log Number P66303A Publications Code 1MA1_2H_2206_MS All the material in this publication is copyright © Pearson Education Ltd 2022 General marking guidance These notes offer general guidance, but the specific notes for examiners appertaining to individual questions take precedence. 1 All candidates must receive the same treatment. Examiners must mark the last candidate in exactly the same way as they mark the first. Where some judgement is required, mark schemes will provide the principles by which marks will be awarded; exemplification/indicative content will not be exhaustive. When examiners are in doubt regarding the application of the mark scheme to a candidate’s response, the response should be sent to review. 2 All the marks on the mark scheme are designed to be awarded; mark schemes should be applied positively. Examiners should also be prepared to award zero marks if the candidate’s response is not worthy of credit according to the mark scheme. If there is a wrong answer (or no answer) indicated on the answer line always check the working in the body of the script (and on any diagrams), and award any marks appropriate from the mark scheme. Questions where working is not required: In general, the correct answer should be given full marks. Questions that specifically require working: In general, candidates who do not show working on this type of question will get no marks – full details will be given in the mark scheme for each individual question. 3 Crossed out work This should be marked unless the candidate has replaced it with an alternative response. 4 Choice of method If there is a choice of methods shown, mark the method that leads to the answer given on the answer line. If no answer appears on the answer line, mark both methods then award the lower number of marks. 5 Incorrect method If it is clear from the working that the “correct” answer has been obtained from incorrect working, award 0 marks. Send the response to review for your Team Leader to check. 6 Follow through marks Follow through marks which involve a single stage calculation can be awarded without working as you can check the answer, but if ambiguous do not award. Follow through marks which involve more than one stage of calculation can only be awarded on sight of the relevant working, even if it appears obvious that there is only one way you could get the answer given. 7 Ignoring subsequent work It is appropriate to ignore subsequent work when the additional work does not change the answer in a way that is inappropriate for the question or its context. (eg an incorrectly cancelled fraction when the unsimplified fraction would gain full marks). It is not appropriate to ignore subsequent work when the additional work essentially makes the answer incorrect (eg. incorrect algebraic simplification). 8 Probability Probability answers must be given as a fraction, percentage or decimal. If a candidate gives a decimal equivalent to a probability, this should be written to at least 2 decimal places (unless tenths). Incorrect notation should lose the accuracy marks, but be awarded any implied method marks. If a probability fraction is given then cancelled incorrectly, ignore the incorrectly cancelled answer. 9 Linear equations Unless indicated otherwise in the mark scheme, full marks can be gained if the solution alone is given on the answer line, or otherwise unambiguously identified in working (without contradiction elsewhere). Where the correct solution only is shown substituted, but not identified as the solution, the accuracy mark is lost but any method marks can be awarded (embedded answers). 10 Range of answers Unless otherwise stated, when an answer is given as a range (eg 3.5 – 4.2) then this is inclusive of the end points (eg 3.5, 4.2) and all numbers within the range 11 Number in brackets after a calculation Where there is a number in brackets after a calculation eg 2 × 6 (=12) then the mark can be awarded either for the correct method, implied by the calculation or for the correct answer to the calculation. 12 Use of inverted commas Some numbers in the mark scheme will appear inside inverted commas eg “12” × 50 ; the number in inverted commas cannot be any number – it must come from a correct method or process but the candidate may make an arithmetic error in their working. 13 Word in square brackets Where a word is used in square brackets eg [area] × 1.5 : the value used for [area] does not have to come from a correct method or process but is the value that the candidate believes is the area. If there are any constraints on the value that can be used, details will be given in the mark scheme. 14 Misread If a candidate misreads a number from the question. eg uses 252 instead of 255; method or process marks may be awarded provided the question has not been simplified. Examiners should send any instance of a suspected misread to review. Guidance on the use of abbreviations within this mark scheme M method mark awarded for a correct method or partial method P process mark awarded for a correct process as part of a problem solving question A accuracy mark (awarded after a correct method or process; if no method or process is seen then full marks for the question are implied but see individual mark schemes for more details) C communication mark awarded for a fully correct statement(s) with no contradiction or ambiguity B unconditional accuracy mark (no method needed) oe or equivalent cao correct answer only ft follow through (when appropriate as per mark scheme) sc special case dep dependent (on a previous mark) indep independent awrt answer which rounds to isw ignore subsequent working Paper: 1MA1/2H Question Answer Mark Mark scheme Additional guidance 1 (a) x 15 B1 cao (b) 40 – 10x M1 for method to expand one bracket, or collect like terms eg 4 × x + 4 × 3 (= 4x + 12) or 7 × 4 − 7 × 2x (= 28 – 14x) or 4 × x − 7 × 2x (= 4x – 14x) and 4 × 3 + 7 × 4 (= 12 + 28) A1 oe (c) 3x 2 (5x + y) M1 for 3(5x 3 + x 2 y) or x(15x 2+3xy) or 3x(5x 2 + xy) or x 2 (15x + 3y) or 3x 2 (ax + by) Where a ≥ 1 and b ≥ 1 A1 cao 2 translation 5 6   −     B1 for translation Award no marks if more than one transformation is given B1 for vector 5 6   −     Do not accept as a coordinate (−5, 6) 3 89.5 and 90.5 B1 for 89.5 in the correct position B1 for 90.5 in the correct position Accept 90.49̇ or 90.499(…) Paper: 1MA1/2H Question Answer Mark Mark scheme Additional guidance 4 (a) 19 P1 for process to find area available at festival B, eg 700 × 2000 (=1 400 000) P1 for process to find the area available per person at one festival, eg 80 000 ÷ 425 (= 188.23...) or [area] ÷ 6750 (= 207.40...) Accept either number rounded eg 207 or 188 P1 for process to find the area available per person at both festivals, eg 80 000 ÷ 425 (= 188.23...) and [area] ÷ 6750 (= 207.40...) Accept either number rounded eg 207 or 188 A1 for an answer in the range 18.7 to 19.5 (b) explanation C1 for a valid statement relating to scale factor for area, Acceptable examples There are 10000 (cm2 ) in 1 (m2 ) Because 1 m2 is the same as 100 × 100 = 10000 cm2 There are 2 side lengths that change from 1 m to 100 cm 300 ÷ 3 is 100 should use 1002 300 ÷ 100 ÷ 100 = 0.03 3 × 100 × 100 = 30000 Because it's area not length. Because it’s in m2 not just metres He hasn’t taken the squared sign into account Not acceptable examples There are 1000 cm in 1 m Callum is correct because ……. 300 ÷ 3 is 100 3 2 = 9 300 × 300 = 90000 You have to square the number Paper: 1MA1/2H Question Answer Mark Mark scheme Additional guidance 5 14.5, 21 P1 for process to work with coordinates, eg 4 – (−3) (= 7) or 9 – 1 (= 8) Accept in reverse order eg −3 − 4 (= −7) and negative distances throughout P1 for process to use ratio, eg “7” ÷ 2 (= 3.5) or “8” ÷ 2 (= 4) or “7” × 3 (= 21) or “8” × 3 (= 24) This mark is implied by 10.5 or 12 or 17.5 or 20 P1 for complete process to find x or y coordinate of N, eg “3.5” × 3 + 4 or “4” × 3 + 9 or “3.5” × 5 ‒3 or “4” × 5 + 1 OR to find both the required distances eg “3.5” × 3 (= 10.5) and “4” ×3 (= 12) or “21” ÷ 2 (= 10.5) and “24” ÷ 2 (= 12) or “3.5” × 5 (= 17.5) and “4” × 5 (= 20) A1 oe Paper: 1MA1/2H Question Answer Mark Mark scheme Additional guidance 6 600.74 M1 works out decrease for one year eg 679 × 4 ÷ 100 (= 27.16) oe or 679 × (100 − 4) ÷ 100 (= 651.84) oe Implied by 679 × 0.12 (= 81.48) or 679 × 0.88 (= 597.52) M1 for compound method, eg 679 × “0.96”t , t ≥ 2 or “651.84” × “0.96” (= 625.76..) or “651.84” × 0.04 (= 26.07) or for answers in the range 600.71 to 600.74 Values may be rounded or truncated A1 for 600.71 or 600.72 or 600.73 or 600.74 If correct answer seen, and then difference found award M1M1A0 7 No (supported) P1 for a conversion with litres and gallons, eg 18 ÷ 4.5 (= 4) or 8 × 4.5 (= 36) See page at end of mark scheme P1 for a conversion with £ and euros, eg 27 × 0.85 (= 22.95) or 40.8 ÷ 0.85 (= 48) P1 for finding the unit price, eg 27 ÷ 18 (= 1.5) OR finding proportionality for fuel eg (“36” ÷ 18) (= 2) May compare cost per gallon or cost in euros May be seen in a calculation or given in a description C1 for No with comparative figures, eg No with 20.4 and 22.95 OR No with 1.275 and 1.133… Accept comparative figures rounded or truncated No is implied by eg Wales is cheaper Paper: 1MA1/2H Question Answer Mark Mark scheme Additional guidance 8 0.739 M1 for partial evaluation, eg 6.07(5732...) or 7.2 (= 2.68(328...)) or 7.80(778…) or 3 7.80(7782818...) (= 1.98(3851871…)) A1 for an answer in the range 0.739 to 0.747 If an answer is given in the range in working and then rounded incorrectly award full marks. 9 0.8 P1 for process to find the area, eg 180 187.5 A = or 180 ÷ 187.5 (= 0.96) or 180 1.2x = 187.5 or 180 1.2 187.5 x = Ignore units for P marks only P1 for complete process to find width, eg “0.96” ÷ 1.2 or 180 ÷ 225 A1 cao Paper: 1MA1/2H Question Answer Mark Mark scheme Additional guidance 10 (a) Explanation C1 for explanation, eg Acceptable examples The IQR is half the data This is half the data 3 4 of the data is less than 350(000) 3 4 of the data is more than 160(000) 3 4 of the data is lies between 60(000) and 350(000) 1 2 of the data lies between 160(000) and 350(000) Not acceptable examples The data lies between 160 and 350 The IQR is 190 (000) IQR = UQ – LQ The upper and lower quartiles represent half the data Zeros can be present or missing, but must be consistent. (b) box plot drawn B2 for fully correct box plot Box can be of any height. Accept ends that are marked (eg line, cross, dot) or defined by the end (B1 for showing a box and at least 3 correctly plotted values) of the whiskers if clear (c) decision and comparisons C1 (ft) for correct comparison of medians eg the median for online is greater than the median for the shop, the shop takes less money from sales in general as the median is lower Simply quoting values for median, range and IQR is insufficient, they must be compared Median Range IQR Online 200 360 190 Shop 170 320 180 Also accept figures as 000s as long as consistent. Figures need not be see [Show More]

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