GCSE (9-1) MATHEMATICS J560/01 Paper 1 (Foundation Tier) PRACTICE PAPER (SET 2) MARK SCHEME

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GCSE (9-1) MATHEMATICS J560/01 Paper 1 (Foundation Tier) PRACTICE PAPER (SET 2) MARK SCHEME F Date – Morning/Afternoon GCSE (9-1) MATHEMATICS J560/01 Paper 1 (Foundation Tier) PRACTICE PAPE ... R (SET 2) MARK SCHEME Duration: 1 hour 30 minutes MAXIMUM MARK 100 DRAFT This document consists of 12 pagesJ560/01 Mark Scheme Practice Paper (Set 2) 2 Subject-Specific Marking Instructions 1. M marks are for using a correct method and are not lost for purely numerical errors. A marks are for an accurate answer and depend on preceding M (method) marks. Therefore M0 A1 cannot be awarded. B marks are independent of M (method) marks and are for a correct final answer, a partially correct answer, or a correct intermediate stage. SC marks are for special cases that are worthy of some credit. 2. Unless the answer and marks columns of the mark scheme specify M and A marks etc, or the mark scheme is ‘banded’, then if the correct answer is clearly given and is not from wrong working full marks should be awarded. Do not award the marks if the answer was obtained from an incorrect method, i.e. incorrect working is seen and the correct answer clearly follows from it. 3. Where follow through (FT) is indicated in the mark scheme, marks can be awarded where the candidate’s work follows correctly from a previous answer whether or not it was correct. Figures or expressions that are being followed through are sometimes encompassed by single quotation marks after the word their for clarity, e.g. FT 180 × (their ‘37’ + 16), or FT 300 – (their ‘52 + 72’). Answers to part questions which are being followed through are indicated by e.g. FT 3 × their (a). For questions with FT available you must ensure that you refer back to the relevant previous answer. You may find it easier to mark these questions candidate by candidate rather than question by question. 4. Where dependent (dep) marks are indicated in the mark scheme, you must check that the candidate has met all the criteria specified for the mark to be awarded. 5. The following abbreviations are commonly found in GCSE Mathematics mark schemes. - figs 237, for example, means any answer with only these digits. You should ignore leading or trailing zeros and any decimal point e.g. 237000, 2.37, 2.370, 0.00237 would be acceptable but 23070 or 2374 would not. - isw means ignore subsequent working after correct answer obtained and applies as a default. - nfww means not from wrong working. - oe means or equivalent. - rot means rounded or truncated. - seen means that you should award the mark if that number/expression is seen anywhere in the answer space, including the answer line, even if it is not in the method leading to the final answer. - soi means seen or implied.J560/01 Mark Scheme Practice Paper (Set 2) 3 6. In questions with no final answer line, make no deductions for wrong work after an acceptable answer (i.e. isw) unless the mark scheme says otherwise, indicated by the instruction ‘mark final answer’. 7. In questions with a final answer line following working space, (i) if the correct answer is seen in the body of working and the answer given on the answer line is a clear transcription error allow full marks unless the mark scheme says ‘mark final answer’. Place the annotation  next to the correct answer. (ii) if the correct answer is seen in the body of working but the answer line is blank, allow full marks. Place the annotation  next to the correct answer. (iii) if the correct answer is seen in the body of working but a completely different answer is seen on the answer line, then accuracy marks for the answer are lost. Method marks could still be awarded. Use the M0, M1, M2 annotations as appropriate and place the annotation  next to the wrong answer. 8. In questions with a final answer line: (i) If one answer is provided on the answer line, mark the method that leads to that answer. (ii) If more than one answer is provided on the answer line and there is a single method provided, award method marks only. (iii) If more than one answer is provided on the answer line and there is more than one method provided, award zero marks for the question unless the candidate has clearly indicated which method is to be marked. 9. In questions with no final answer line: (i) If a single response is provided, mark as usual. (ii) If more than one response is provided, award zero marks for the question unless the candidate has clearly indicated which response is to be marked. 10. When the data of a question is consistently misread in such a way as not to alter the nature or difficulty of the question, please follow the candidate’s work and allow follow through for A and B marks. Deduct 1 mark from any A or B marks earned and record this by using the MR annotation. M marks are not deducted for misreads.J560/01 Mark Scheme Practice Paper (Set 2) 4 11. Unless the question asks for an answer to a specific degree of accuracy, always mark at the greatest number of significant figures even if this is rounded or truncated on the answer line. For example, an answer in the mark scheme is 15.75, which is seen in the working. The candidate then rounds or truncates this to 15.8, 15 or 16 on the answer line. Allow full marks for the 15.75. 12. Ranges of answers given in the mark scheme are always inclusive. 13. For methods not provided for in the mark scheme give as far as possible equivalent marks for equivalent work. If in doubt, consult your Team Leader. 14. Anything in the mark scheme which is in square brackets […] is not required for the mark to be earned, but if present it must be correct.J560/01 Mark Scheme Practice Paper (Set 2) 5 Question Answer Marks Part marks and guidance 1 (a) Pentagon 1 1 AO1.1 (b) Isosceles [triangle] 1 1 AO1.2 (c) Right [angle] 1 1 AO1.2 2 (a) Any multiple of 12 1 1 AO1.1 (b) 25 or 36 1 1 AO1.1 No incorrect extras 3 (a) 36 11 4 1 1 1 3 AO1.3b FT 47 – their 36 FT 80 – 29 – their 36 – their 11 (b) 5 2 1 AO1.3a 1 AO2.3a M1 for 4 80 their 4 Frequency scale doesn’t start at zero Bars/gaps are not equal width 1 1 2 AO2.5b 5 (a) (i) (-2, 4) 1 1 AO2.3b (ii) (5, -1) 1 1 AO2.3b (b) Point plotted at (-1, -2) 1 1 AO2.3bJ560/01 Mark Scheme Practice Paper (Set 2) 6 Question Answer Marks Part marks and guidance 6 (a) 6 1 1 AO1.3a (b) 5 1 1 AO1.3a (c) 10 2 2 AO1.3a M1 for 400 × 2.5 7 (a) (i) 3r – 4t final answer 2 2 AO1.3a M1 for 3r or – 4t in final answer (ii) b4 1 1 AO1.2 (b) (i) 6.75 oe 1 1 AO1.3a (ii) 3 2 2 AO1.3a M1 for 11c = 53 − 20 (c) 4x − 20 1 1 AO1.3a (d) 2x2 − x −15 2 2 AO3.4a M1 for 2x2 − 6x + 5x −15 8 He has added first 1 1 AO3.4a Do not accept ‘answer is 11 without explanation’J560/01 Mark Scheme Practice Paper (Set 2) 7 Question Answer Marks Part marks and guidance 9 51.25 5 3 AO1.3b 2 AO3.1d M1 for 105 70 M1 for 100 40 M1 for their ‘105 + 100’ or their ‘1.5 + 2.5’ M1 for 205 th 4 thei eir r 10 (a) 1 7 1 1 AO1.3a (b) 56 5 2 AO1.3b 3 AO3.1d M1 for 5000 5 soi by 1000 M1 for 0.3 × 4000 A1 for 1200 M1 for 2800 5000 their 11 (a) 72 3 2 AO1.3a 1 AO3.1c M1 for 69.95x + 400 ≤ 5500 or better M1 for 5100 69.95 soi by 72.9 (b) 102 2 2 AO1.3a M1 for 0.85 × 120 oe 12 35, 83, 62 5 3 AO1.3b 2 AO2.1a M1 for 2x + 13 + 3x − 43 + x = 180 M1FT for 6x – 30 = 180 M1FT for 6x = 210 A1 for x = 35J560/01 Mark Scheme Practice Paper (Set 2) 8 Question Answer Marks Part marks and guidance 13 21.46… or 21.5 5 1 AO1.3b 2 AO2.1a 1 AO3.1d 1 AO3.2 B1 for 400 M1 for 102 × π M1 for their 85.8 × 100 ÷ their 400 Accept 86 for 5 marks Accept 3.14 for π 14 (a) Japan 1 1 AO2.3a (b) 60 700 000 1 1 AO1.3a (c) 5 × 103 1 1 AO1.3a (d) Germany Ecuador 2 1 AO1.3a 1 AO3.1a B1 for the two countries reversed 15 (a) 2 × 33 2 2 AO1.3b B1 for 1 correct factor pair Accept 2 × 3 × 3 × 3 for 2 marks (b) 56 4 2 AO1.3b 2 AO3.1d M3 for listing multiples of 8 and 14 up to 56 or correct factorising into prime factors of 8 and 14 Or M2 for listing multiples of 8 or 14 up to 56 or correct factorisation into prime factors of 8 or 14 Or M1 for listing 3 multiples of 8 or 14 or factorising 8 or 14 16 (a) C 1 1 AO2.1aJ560/01 Mark Scheme Practice Paper (Set 2) 9 Question Answer Marks Part marks and guidance (b) 54 2 1 AO1.1 1 AO1.3a M1 for 36 × 24 16 oe 17 (a) 5 1 AO2.1a 2 AO2.3b 2 AO3.1b B2 for the correct bisector with supporting arcs Or B1 for correct bisector of AB AND B2 for an arc centre C radius 3 cm and reaching CA and CB Or B1 for any arc centre C AND B1 for correct region shaded Tolerance ± 2 mm and ± 2° Tolerance ± 2 mm Dep. on attempt at bisector and arc (b) Correct measurement ± 2 mm 3 1 AO1.3a 2 AO2.3b B1 for correct perpendicular from D to EF B1 for correct supporting arcs for perpendicular bisector from D to EF B1 for correct measurement of their line Note to centres: This answer will depend on the actual size of the printed question paper 18 (a) Both points correctly plotted 1 1 AO2.3bJ560/01 Mark Scheme Practice Paper (Set 2) 10 Question Answer Marks Part marks and guidance (b) 27 4 1 AO1.3a 1 AO2.1a 1 AO3.1c 1 AO3.2 B2 for 4 15 oe Or B1 for 4 AND M1 for 4 15 their × 100 Accept any correct method (c) (i) Correct ruled line of best fit 1 1 AO2.3b Accept any reasonable line of best fit (ii) 32 - 36 1 1 AO2.1b Allow in this range or FT their ruled line of best fit (iii) Allow any correct response 1 1 AO3.4b e.g. she could be [much] better (or worse) in the theory part 19 17 12 4 2 AO1.3b 1 AO3.1c 1 AO3.3 M1 for setting up either equation M1 for scaling both equations to make a common coefficient M1 for correct method to eliminate one variable 20 (a) 216 324 108 4 1 AO1.3b 2 AO3.1d 1 AO3.3 B1 for 30 cm by 20 cm soi M1 for 270 ÷ 30 or 240 ÷ 20 soi by 9 or 12 oe M1 for 9 × 12 soi by 108 (b) Any fully correct argument 2 1 AO2.4a 1 AO3.1c B1 for 370 and 30 oe e.g. (3 × 10) does not divide exactly into (3.7 × 100) All units must be consistentJ560/01 Mark Scheme Practice Paper (Set 2) 11 Question Answer Marks Part marks and guidance 21 (a) 13.1 4 2 AO1.3a 2 AO2.3a M1 for 4 correct midpoints M1 for ∑mf M1 for 75 their mf (b) Valid explanation 1 1 AO2.5b e.g. exact values are not knownJ560/01 Practice Paper (Set 2) 12 Assessment Objectives (AO) Grid Question AO1 AO2 AO3 Total 1(a) 1 0 0 1 1(b) 1 0 0 1 1(c) 1 0 0 1 2(a) 1 0 0 1 2(b) 1 0 0 1 3(a) 3 0 0 3 3(b) 1 1 0 2 4 0 2 0 2 5(a)(i) 0 1 0 1 5(a)(ii) 0 1 0 1 5(b) 0 1 0 1 6(a) 1 0 0 1 6(b) 1 0 0 1 6(c) 2 0 0 2 7(a)(i) 2 0 0 2 7(a)(ii) 1 0 0 1 7(b)(i) 1 0 0 1 7(b)(ii) 2 0 0 2 7(c) 1 0 0 1 7(d) 0 0 2 2 8 0 0 1 1 9 3 0 2 5 10(a) 1 0 0 1 10(b) 2 0 3 5 11(a) 2 0 1 3 11(b) 2 0 0 2 12 3 2 0 5 13 1 2 2 5 14(a) 0 1 0 1 14(b) 1 0 0 1 14(c) 1 0 0 1 14(d) 1 0 1 2 15(a) 2 0 0 2 15(b) 2 0 2 4 16(a) 0 1 0 1 16(b) 2 0 0 2 17(a) 0 3 2 5 17(b) 1 2 0 3 18(a) 0 1 0 1 18(b) 1 1 2 4 18(c)(i) 0 1 0 1 18(c)(ii) 0 1 0 1 [Show More]

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