GCSE MATHEMATICS 8300/2H Higher Tier Paper 2 Calculator Mark scheme June 2022 Version: 1.0 Final *226g8300/2H/MS* MARK SCHEME – GCSE MATHEMATICS – 8300/2H – JUNE 2022 2

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GCSE MATHEMATICS 8300/2H Higher Tier Paper 2 Calculator Mark scheme June 2022 Version: 1.0 Final *226g8300/2H/MS* MARK SCHEME – GCSE MATHEMATICS – 8300/2H – JUNE 2022 2 Mark schemes a ... re 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 – 8300/2H – 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 2 1 [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 – 8300/2H – 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 – 8300/2H – JUNE 2022 5 Q Answer Mark Comment 1 80 1 B1 Q Answer Mark Comment 2 P(A ∩ B') B1 Q Answer Mark Comment 3 15 B1 Q Answer Mark Comment 4 –5 < x ⩽ 1 B1 MARK SCHEME – GCSE MATHEMATICS – 8300/2H – JUNE 2022 6 Q Answer Mark Comments 5 Alternative method 1 10x – 5 M1 may be seen in a grid their 10x – 6x = 9 + their 5 or 4x = 14 or 14 ÷ 4 or 7 ÷ 2 M1 oe eg their –5 – 9 = 6x – their 10x or 4x – 14 = 0 collecting two terms in x and two constant terms correctly 14 4 or 3 2 4 or 7 2 or 3 1 2 or 3.5 A1ft oe ft M1M0 or M0M1 with exactly one error Alternative method 2 6x 5 + 9 5 M1 oe two terms eg 1.2x + 1.8 2x – their 6x 5 = their 9 5 + 1 or 4x 5 = 14 5 M1 oe eg –1 – their 9 5 = their 6x 5 – 2x or 4x 5 – 14 5 = 0 collecting two terms in x and two constant terms correctly 14 4 or 3 2 4 or 7 2 or 3 1 2 or 3.5 A1ft oe ft M1M0 or M0M1 with exactly one error Additional Guidance is on the next page MARK SCHEME – GCSE MATHEMATICS – 8300/2H – JUNE 2022 7 5 cont Additional Guidance Ignore simplification or conversion if correct answer seen Correct answer from trial and improvement M1M1A1 Correct equation with terms collected or division with no or incorrect answer M1M1A0 Embedded 3.5 with no or incorrect answer M1M1A0 10x – 5 = 6x + 9 10x – 6x = 9 – 5 x = 1 (exactly one error in line 2) M1 M0 A1ft 7x – 5 = 6x + 9 7x – 6x = 9 + 5 x = 14 (exactly one error in line 1) M0 M1 A1ft 10x – 5 = 6x + 9 10x + 6x = 9 – 5 x = 4 16 (two errors in line 2) M1 M0 A0ft 10x – 1 = 6x + 9 10x – 6x = 9 + 1 x = 3 (exactly one error in line 1 but answer does not ft) M0 M1 A0ft 7x – 6 = 6x + 9 7x – 6x = 9 + 6 x = 15 (two errors in line 1) M0 M1 A0ft 10x + 4 = 6x + 9 10x – 6x = 9 + 4 x = 3.25 (neither M mark scored) M0 M0 A0ft 10x – 5 = 30x + 45 M1M0A0ft Any ft answer must be rounded or truncated to 1 dp or better The last two marks can be implied without the collection of terms seen eg 10x – 1 = 6x + 9 and x = 2.5 M0M1A1ft Collecting terms before the bracket has been expanded M0M0A0ft MARK SCHEME – GCSE MATHEMATICS – 8300/2H – JUNE 2022 8 Q Answer Mark Comments 6 125 and 17 or 53 and 17 or 5 and 5 and 5 and 17 B2 together in any order eg 125 × 17 or 17 × 5 3 or 5, 5, 5, 17 or 2125 ÷ 17 = 125 or 2125 ÷ 125 = 17 B1 at least three of 8, 27, 64, 125, 216, 343, 512, 729, 1000, 1331, 1728, 2197 etc (allow 23 , 33 , 4 3 etc) or all four of 11, 13, 17, 19 (ignore any numbers not between 10 and 20) or (cube number > 1) × (prime number between 10 and 20) or 2125 ÷ (cube number > 1) or 2125 ÷ (prime number between 10 and 20) Additional Guidance B1 may be awarded for correct work with no, or incorrect answer, even if this is seen amongst multiple attempts B2 responses may be seen on a factor tree B1 for three cube numbers given in index form – evaluations can be ignored eg 43 5 3 6 3 scores B1 with no evaluations or with incorrect evaluations B1 for multiplications or divisions – evaluation can be ignored eg1 23 × 13 scores B1 with no evaluation or evaluated incorrectly eg2 2125 ÷ 27 scores B1 with no evaluation or evaluated incorrectly eg3 2125 ÷ 11 scores B1 with no evaluation or evaluated incorrectly 125 and 17 seen in multiple attempts is B2 if 2125 included eg 125 × 17 = 2125 or 2125 ÷ 17 = 125 or 2125 ÷ 125 = 17 seen amongst multiple attempts B2 125 and 17 seen in multiple attempts is B1 if 2125 not included eg 125 × 17 seen amongst multiple attempts B1 11 13 15 17 19 does not score B1 unless 11 13 17 19 selected Incomplete list eg 11 13 19 does not score B1 MARK SCHEME – GCSE MATHEMATICS – 8300/2H – JUNE 2022 9 Q Answer Mark Comments 7 Alternative method 1 Words per minute or words per second 416 ÷ 8 or 52 M1 oe eg 416 ÷ (8 × 60) or 416 ÷ 480 or 13 15 or [0.86, 0.87] or 0.9 1534 ÷ their 52 or (1534 – 416) ÷ their 52 + 8 or 29.5 M1dep oe eg 1534 ÷ their [0.86, 0.87] or (1534 – 416) ÷ their [0.86, 0.87] + 8 × 60 or 1770 29 minutes 30 seconds A1 SC2 29 minutes 50 seconds or 29 minutes 5 seconds Alternative method 2 Minutes per word or seconds per word 8 ÷ 416 or 1 52 or [0.019, 0.019 231] or 0.02 M1 oe eg 8 × 60 ÷ 416 or 480 ÷ 416 or 15 13 or [1.15, 1.154] or 1.2 1534 × their [0.019, 0.019 231] or (1534 – 416) × their [0.019, 0.019 231] + 8 or 29.5 M1dep oe eg 1534 × their [1.15, 1.154] or (1534 – 416) × their [1.15, 1.154] + 8 × 60 or 177 [Show More]

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