Mark scheme (Foundation) : Paper 1 Non-calculator ...

1 GCSE. MATHEMATICS. 8300/1F. Foundation Tier Paper 1 Non-calculator Mark scheme November 2018. Version: Final *18BG83001F/MS*. MARK scheme GCSE MATHEMATICS 8300/1F NOVEMBER 2018. Mark schemes 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 Assessment Writer.

2 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 Copyright 2018 AQA and its licensors. All rights reserved. AQA retains the copyright on all its publications. How ever, registered schools/colleges for AQA are permitted to copy material from this booklet for their ow n internal use, w ith the following important exception: AQA cannot give permission to schools/colleges to photocopy any material that is acknow ledged to a third party even for internal use w ithin the centre. MARK scheme GCSE MATHEMATICS 8300/1F NOVEMBER 2018.

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.

4 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. 1. eg accept as well as 2. [a, b] Accept values between a and b inclusive. [a, b) Accept values a value < b Accept answers which begin eg , , Use of brackets It is not necessary to see the bracketed work to award the marks . 3. MARK scheme GCSE MATHEMATICS 8300/1F NOVEMBER 2018. 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.]

5 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 c ontradict 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.

6 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. 4. MARK scheme GCSE MATHEMATICS 8300/1F NOVEMBER 2018. Question Answer Mark Comments 1 11 B1. 2 Mode B1. 3 B1. 4 Circumference B1. 5. MARK scheme GCSE MATHEMATICS 8300/1F NOVEMBER 2018. Question Answer Mark Comments Alternative method 1. at least one row correct, with the 0. 8 3. correct for multiplication by the multiple 2 6. of 10. 4 9 8. 1 6 6 0. you may see the rows of working or M1 switched 2 6.

7 8 3. 7 8. 2 0 8 0. their 498 + their 1660. or M1dep 5 their 78 + their 2080. 2158 A1. Alternative method 2. at least three of the calculated values correct 20 6. may be seen as 4 calculations, not in a M1. 80 1600 480 grid 3 60 18. their 1600 + their 480 + their 60 +. M1dep their 18. 2158 A1. 6. MARK scheme GCSE MATHEMATICS 8300/1F NOVEMBER 2018. Question Answer Mark Comments Alternative method 3. at least three of the calculated values correct 2 6. M1. 1 4 8. 6 8. 0 1 3. 6 8. Total calculated for each diagonal clear attempt to add each diagonal with at least one correct carrying M1dep figure 2158 A1. Additional Guidance 20 80 + 6 3 (= 1618) M0A0. Alternative method 1: if the place holder 0 is missing or misaligned, allow 5 cont this to be evidenced by their 8 as the units value in the answer, or an x'. in place of the 0. Alternative method 2: if numbers are broken down further they must have at least 8 of the calculated values correct in example below (oe).

8 Eg 40 40 3 and 10 10 6 (ie a maximum of one error). Alternative method 3: diagonals must slope the correct way for M1. (unless recovered). Diagonal lines not present is M0 unless this is recovered by seeing correct totals around the grid Example of alternate method 3 with carrying completed once 2 6. 1 4 8 M1M1depA0. 1 6 8. 01 1 3. 11 6 8. 5 8. 7. MARK scheme GCSE MATHEMATICS 8300/1F NOVEMBER 2018. Question Answer Mark Comments 18 3 or 6 oe or 18 5 or 90. M1. or 5. 3. 30 A1. 6. Additional Guidance 18 10 6 with incorrect or no answer M1A0. 5. Decimals for must be correct to 1dp or better (ie , , etc). 3. 3 3. 18 is M1 but alone is M0. 5 5. 3206 7 may be seen as a calculation attempted M1. such as in the bus stop' method 458 A1. Additional Guidance 7 3206 must be recovered eg by correct use in division sum 7. Chunking or build-up must convince that the equivalent to the full division is being attempted (ie reach or go beyond 3206).

9 Condone 3206 420 (working in seconds) for M1. 3206. Accept for M1 unless contradicted by further work 7. 8. MARK scheme GCSE MATHEMATICS 8300/1F NOVEMBER 2018. Question Answer Mark Comments Total for Screen 2 is 261 B1. Total is 348 B1ft ft 87 + their 261. Full price for Screen 1 is 72 B1. Child price for Screen 2 is 53 B1. Full price for Screen 2 is 208 ft if their full price value for Screen 2 and their child price value for Screen 2 sum to their total for Screen 2. B1ft or their two full price values and their two child price values sum to their overall total Additional Guidance Mark the diagram, but if diagram completely blank, accept answers in 8 working only if absolutely clear which entry is being referenced Example of final B1ft: Screen 2 Child Price recorded as 68, leads to 193. as Screen 2 full price B5. 9. MARK scheme GCSE MATHEMATICS 8300/1F NOVEMBER 2018. Question Answer Mark Comments Alternative method 1.

10 1 5. (1 =) M1 oe improper fraction 4 4. 4 10 2 5 oe common denominator with at least and or and one correct numerator 8 8 4 4. or M1dep may be seen as start and end of a list 4. 7 oe fraction A1. 8. Alternative method 2. 1 1 3. (1 =) M1 oe 4 2 4. 9. 1 3. + their ( 2). 2 4. or M1dep oe 1 3. 1 their ( 2). 4 4. 7 oe fraction A1. 8. Alternative method 3. 1 1 3 7 oe (1 + =) 1 or M1. 4 2 4 4. 3 7 oe their 1 2 or their 2 M1dep 4 4. 7 oe fraction A1. 8. 10. MARK scheme GCSE MATHEMATICS 8300/1F NOVEMBER 2018. Question Answer Mark Comments Alternative method 4. ( =) accept equivalent in percentages but or M1. must see % sign ( + =) ( + 2 =) must be correct or ( 2 =) accept equivalent in percentages but M1dep must see % sign or ( =) 2. or 7 oe fraction A1. 8. Alternative method 5. 1. 1 1 if more points are marked, labels of 9 cont Positions of and 1 correctly 2. 2 4 1. marked on line M1 and 1 must be given or indicated 4.