AQA GCSE MATHEMATICS 8300/2F Foundation Tier Paper 2 Calculator Mark scheme June 2022 Version: 1.0 Final *226g8300/2F/MS* MARK SCHEME – GCSE MATHEMATICS – 8300/2F – JUNE 2022 2 Mark schemes are prepared by the Lead

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GCSE MATHEMATICS 8300/2F Foundation Tier Paper 2 Calculator Mark scheme June 2022 Version: 1.0 Final *226g8300/2F/MS* MARK SCHEME – GCSE MATHEMATICS – 8300/2F – JUNE 2022 2 Mark scheme... s are prepared by the Lead Assessment Writer and considered, together with the relevant questions, by a panel of subject teachers. This mark scheme includes any amendments made at the standardisation events which all associates participate in and is the scheme which was used by them in this examination. The standardisation process ensures that the mark scheme covers the students’ responses to questions and that every associate understands and applies it in the same correct way. As preparation for standardisation each associate analyses a number of students’ scripts. Alternative answers not already covered by the mark scheme are discussed and legislated for. If, after the standardisation process, associates encounter unusual answers which have not been raised they are required to refer these to the Lead Examiner. It must be stressed that a mark scheme is a working document, in many cases further developed and expanded on the basis of students’ reactions to a particular paper. Assumptions about future mark schemes on the basis of one year’s document should be avoided; whilst the guiding principles of assessment remain constant, details will change, depending on the content of a particular examination paper. Further copies of this mark scheme are available from aqa.org.uk Copyright information AQA retains the copyright on all its publications. However, registered schools/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/colleges to photocopy any material that is acknowledged to a third party even for internal use within the centre. Copyright © 2022 AQA and its licensors. All rights reserved. MARK SCHEME – GCSE MATHEMATICS – 8300/2F – JUNE 2022 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. If a student uses a method which is not explicitly covered by the mark scheme the same principles of marking should be applied. Credit should be given to any valid methods. Examiners should seek advice from their senior examiner if in any doubt. 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. ft Follow through marks. Marks awarded for correct working following a mistake in an earlier step. SC Special case. Marks awarded for a common misinterpretation which has some mathematical worth. 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. oe Or equivalent. Accept answers that are equivalent. eg accept 0.5 as well as 1 2 [a, b] Accept values between a and b inclusive. [a, b) Accept values a ⩽ value < b 3.14… Accept answers which begin 3.14 eg 3.14, 3.142, 3.1416 Use of brackets It is not necessary to see the bracketed work to award the marks. MARK SCHEME – GCSE MATHEMATICS – 8300/2F – JUNE 2022 4 Examiners should consistently apply the following principles. Diagrams Diagrams that have working on them should be treated like normal responses. If a diagram has been written on but the correct response is within the answer space, the work within the answer space should be marked. Working on diagrams that contradicts work within the answer space is not to be considered as choice but as working, and is not, therefore, penalised. Responses which appear to come from incorrect methods Whenever there is doubt as to whether a student has used an incorrect method to obtain an answer, as a general principle, the benefit of doubt must be given to the student. In cases where there is no doubt that the answer has come from incorrect working then the student should be penalised. Questions which ask students to show working Instructions on marking will be given but usually marks are not awarded to students who show no working. Questions which do not ask students to show working As a general principle, a correct response is awarded full marks. Misread or miscopy Students often copy values from a question incorrectly. If the examiner thinks that the student has made a genuine misread, then only the accuracy marks (A or B marks), up to a maximum of 2 marks are penalised. The method marks can still be awarded. Further work Once the correct answer has been seen, further working may be ignored unless it goes on to contradict the correct answer. Choice When a choice of answers and/or methods is given, mark each attempt. If both methods are valid then M marks can be awarded but any incorrect answer or method would result in marks being lost. Work not replaced Erased or crossed out work that is still legible should be marked. Work replaced Erased or crossed out work that has been replaced is not awarded marks. Premature approximation Rounding off too early can lead to inaccuracy in the final answer. This should be penalised by 1 mark unless instructed otherwise. Continental notation Accept a comma used instead of a decimal point (for example, in measurements or currency), provided that it is clear to the examiner that the student intended it to be a decimal point. MARK SCHEME – GCSE MATHEMATICS – 8300/2F – JUNE 2022 5 Q Answer Mark Comments 1 1.5 B1 Q Answer Mark Comments 2 7b B1 Q Answer Mark Comments 3 120 B1 Q Answer Mark Comments 4 circumference B1 Q Answer Mark Comments 5(a) 13 9 B1 oe improper fraction Additional Guidance 13 9 in working with a decimal on answer line B0 Q Answer Mark Comments 5(b) 0.4375 B1 accept .4375 Additional Guidance 7 ÷ 16 with incorrect or no decimal B0 0.4375 in working with 0.437 or 0.438 or 0.43 or 0.44 or 0.4 on answer line B0 Q Answer Mark Comments 5(c) 2.8 B1 Additional Guidance 2.80 B0 MARK SCHEME – GCSE MATHEMATICS – 8300/2F – JUNE 2022 6 Q Answer Mark Comments 6 Cost of 5 litres of cleaning fluid 2 × 18 + 10 or 36 + 10 or 46 or 18 + 3 × 10 or 18 + 30 or 48 or 5 × 10 or 50 M1 oe cost of 2 × 2 litres + 1 × 1 litre or cost of 1 × 2 litres + 3 × 1 litre or cost of 5 × 1 litre Cost of machine plus 5 litres of cleaning fluid 25 + 2 × 18 + 10 or 25 + 18 + 3 × 10 or 73 or 25 + 5 × 10 or 75 M1dep oe 71(.00p) A1 SC1 70(.00p) Additional Guidance Up to M2 may be awarded for correct work with no, or incorrect answer, even if this is seen amongst multiple attempts Special case is for the correct total from using 2.5 bottles at £18 MARK SCHEME – GCSE MATHEMATICS – 8300/2F – JUNE 2022 7 Q Answer Mark Comments 7 Angle [88°, 92°] at B M1 length ⩾ 1cm for vertical may be implied by a point marked Line parallel to AB M1 mark intention length ⩾ 1cm may be implied by two points marked Quadrilateral ABCD with angle ABC = [88°, 92°] and CD parallel to BA and BC = [3.8, 4.2] cm and DC = [5.8, 6.2] cm A1 sides must be joined and look straight ignore extra lines and lines extended SC2 reflection of correct shape with right angle at A (ignore labels) Additional Guidance Lengths of lines (as long as ⩾ 1cm) irrelevant for up to M2 Condone absence of labels C and D Correct quadrilateral with C and D labels swapped M2A0 MARK SCHEME – GCSE MATHEMATICS – 8300/2F – JUNE 2022 8 Q Answer Mark Comments 8 7 (kg) 200 (g) + 650 or 7200 + 650 or 7.2(00) + 0.65(0) or 7850 seen or 7.85(0) seen or 850 seen or 0.85(0) seen M1 7 kilograms 850 grams A1 SC2 7.85(0) kilograms 7850 grams Additional Guidance 850 may be seen embedded eg Answer 29.75 kilograms 850 grams M1A0 7 kg 850 g seen in working but different answer M1A0 7.2 + 650 with no other creditworthy work M0A0 Q Answer Mark Comments 9(a) (8 – 5) × 4 or 3 × 4 or 12 M1 oe may be implied 18 – their 12 or 6 M1 oe 8 ⩽ their 12 ⩽ 16 may be implied by their correct ft answer 7 (pm) A1ft allow 7.00 (pm) or 19.00 (pm) ft 1 (pm) + their 6 with M0M1awarded Additional Guidance Allow dot, colon, comma, space or no space in time notation 18 – 12 = 6, Answer 6 (pm) M1M1A0 4 × 4 = 16, 18 – 16 = 2, Answer 3 (pm) M0M1A1ft 3 × 5 = 15, 18 – 15 = 3, Answer 4 (pm) M0M1A1ft (5 – 8) × 4 = 12 (reverse subtraction recovered and could go on to score up to M1M1A1ft) (5 – 8) × 4 = 8 (reverse subtraction not recovered but could go on to score up to M0M1A1ft) MARK SCHEME – GCSE MATHEMATICS – 8300/2F – JUNE 2022 9 Q Answer Mark Comments 9(b) Valid explanation or correct calculation B1 eg she hasn’t multiplied 2 by 3 or 3 × 2 = 6 or answer is 18 Additional Guidance A correct calculation may be seen by Sofia’s work It should be 3 × 6 B1 It should be 18 B1 3 × 6 = 18 B1 3 should be 6 B1 Needs to multiply everything in the brackets (by 3) B1 She should have done the brackets first B1 She should have added 4 and 2 first B1 She did 3 × 4 but not 3 × 2 B1 She didn’t use BIDMAS and work out the brackets first B1 Accept highlighting the second 3 as the error (with no subsequent incorrect calculation seen) eg It shouldn’t be + 3 B1 A correct calculation or answer 18 with any or no explanation B1 A correct explanation alongside an incorrect calculation B0 She didn’t use BODMAS / BIDMAS B0 She didn’t expand / multiply out the brackets correctly B0 3 should be 2 B0 It should be 14 B0 The brackets are in the wrong place B0 MARK SCHEME – GCSE MATHEMATICS – 8300/2F – JUNE 2022 10 Q Answer Mark Comments 10(a) (8, 1) B1 accept ( ) x y 8, 1 Additional Guidance (8x, 1y) B0 Q Answer Mark Comments 10(b) (7, 6) B1 accept ( ) x y 7, 6 Additional Guidance (7x, 6y) B0 Q Answer Mark Comments 10(c) (2, 1) B1 accept ( ) x y 2, 1 Additional Guidance (2x, 1y) B0 If two or more parts have (x, y) as (y, x) then give the first 0 and condone the other(s) eg1 (a) (1, 8) (b) (6, 7) (c) (1, 2) eg2 (a) (1, 8) (b) (7, 6) (c) (1, 2) eg3 (a) (1, 8) (b) (6, 10) (c) (1, 2) eg4 (a) (8, 1) (b) (6, 7) (c) (1, 2) B0 B1 B1 B0 B1 B1 B0 B0 B1 B1 B0 B1 Q Answer Mark Comments 10(d) y = 6 or 6 = y B1 accept y = 0x + 6 Additional Guidance y = x + 6 B0 x = 6 B0 6 B0 MARK SCHEME – GCSE MATHEMATICS – 8300/2F – JUNE 2022 11 Q Answer Mark Comments 11(a) Alternative method 1 5 7 × 168 or 120 M1 oe eg 168 ÷ 7 × 5 implied by 48 allow 0.71(4…) or 71(.4…)% for 5 7 1 3 × (168 – their 120) or 1 3 × 48 or 16 or   −     1 1 3 × (168 – their 120) or   −     1 1 3 × 48 M1 oe must subtract their 120 from 168 with 10 < their 120 < 150 allow 0.33(3…) or 33(.3…)% for 1 3 allow 0.66(6…) or 0.67 or 66(.6…)% or 67% for   −     1 1 3 16 is M1M1 32(.00p) A1 SC2 80 SC1 40 Alternative method 2   −     5 1 7 × 168 or 48 M1 oe eg 168 ÷ 7 × 2 allow 0.28(6…) or 0.29 or 28(.6…)% or 29% for   −     5 1 7 1 3 × their 48 or 16 or   −     1 1 3 × their 48 M1 oe 18 < their 48 < 100 allow 0.33(3…) or 33(.3…)% for 1 3 allow 0.66(6…) or 0.67 or 66(.6…)% or 67% for   −     1 1 3 16 is M1M1 32(.00p) A1 SC2 80 SC1 40 Additional Guidance is on the next page MARK SCHEME – GCSE MATHEMATICS – 8300/2F – JUNE 2022 12 11(a) cont Additional Guidance Up to M2 may be awarded for correct work with no, or incorrect answer, even if this is seen amongst multiple attempts 5 7 × 168 = 120, 120 ÷ 3 = 40, Answer 40 M1M0A0 (or SC1) 5 7 × 168 = 120, 120 ÷ 3 = 40, Answer 80 SC2 Alt 1 Allow 0.71(4…) or 71(.4…)% for 5 7 and 0.33(3…) or 33(.3…)% for 1 3 eg 0.71 × 168 = 119.28 0.33 × (168 – 119.28) = 16.08, Answer 32.6 [Show More]

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