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GCSE (9-1) Mathematics Component 1 Grades 1-4 Practice Materials (Set 2)

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GCSE (9-1) Mathematics Component 1 Grades 1-4 Practice Materials (Set 2) Qualification Accredited www.ocr.org.uk/maths GCSE (9-1) MATHEMATICS Practice Materials Grades 1-4 Practice Materi... als Set 2, Component 1 Version 1 J560 For first teaching in 2015GCSE (9-1) Mathematics Grades 1-4 Practice Materials © OCR 2020 Introduction These practice materials can be used to support foundation students who are targeting grades 1-4. They are comprised of questions taken from previous series. Mark schemes are included and can be found towards the back of each set of materials. Please remember to omit the mark schemes when distributing the question pages to your students. To see additional GCSE (9-1) Mathematics resources, please visit: https://www.ocr.org.uk/qualifications/gcse/ mathematics-j560-from-2015/planning-and-teaching/ Would you prefer a Word version? Did you know that you can save this pdf as a Word file using Acrobat Professional? Simply click on File > Export to and select Microsoft Word (If you have opened this PDF in your browser you will need to save it first. Simply right click anywhere on the page and select Save as . . . to save the PDF. Then open the PDF in Acrobat Professional.) If you do not have access to Acrobat Professional there are a number of free applications available that will also convert PDF to Word (search for pdf to word converter).Grades 1-4 Practice Materials 1 GCSE (9-1) Mathematics © OCR 2020 GCSE (9-1) Mathematics Component 1 Grades 1-4 Practice Materials (Set 2) Time allowed: 45 minutes Name 50.Grades 1-4 Practice Materials 2 GCSE (9-1) Mathematics © OCR 2020Grades 1-4 Practice Materials 3 GCSE (9-1) Mathematics © OCR 2020 3Grades 1-4 Practice Materials 4 GCSE (9-1) Mathematics © OCR 2020Grades 1-4 Practice Materials 5 GCSE (9-1) Mathematics © OCR 2020 (a) (b) (c) (a) (b) (c) 7Grades 1-4 Practice Materials 6 GCSE (9-1) Mathematics © OCR 2020 8Grades 1-4 Practice Materials 7 GCSE (9-1) Mathematics © OCR 2020 9Grades 1-4 Practice Materials 8 GCSE (9-1) Mathematics © OCR 2020 11 12 (a) (b) (a) (b)Grades 1-4 Practice Materials 9 GCSE (9-1) Mathematics © OCR 2020 13Grades 1-4 Practice Materials 10 GCSE (9-1) Mathematics © OCR 2020 14 15GCSE (9-1) Mathematics Grades 1-4 Practice Materials 11 © OCR 2020 Component 1 – Mark scheme Types of marks: • 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. The following abbreviations are commonly found in GCSE Mathematics mark schemes. • cao means correct answer only. • 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). • 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.GCSE (9-1) Mathematics Grades 1-4 Practice Materials 12 © OCR 2020 Question Answer Marks Part marks and guidance 1 (a) Correct bar drawn 1 Condone freehand (b) (i) Germany 1 (ii) 25 1 (iii) 6 1 2 (a) Cylinder 1 (b) 90º symbol marked at BCD cao 1 Accept 90º with arc 3 (a) 32 1 (b) Times by 2 oe 1 4 144 final answer 2 M1 for 27 – 15 implied by 12 5 (a) 1 : 19 1 (b) 12 2 M1 for 8 ÷ 2 soi by 4 or 8 × 1.5 oe 6 (a) 10 final answer 1 (b) 4 final answer 1 7 (a) 14 1 (b) 18 1 (c) 6.5 final answer 2 M1 for 8x = 46 + 6 or better or x = from their ax = b a ≠1 Accept 6 or Must be an equation Accept a fully correct flow chart for M1 8 15 with correct supporting working 5 M1 for 140 ÷ 7 soi by 20 M1 for 4 × their 20 and 3 × their 20 soi by 80 and 60 M1 for their 80 ÷ 5 or their 60 ÷ 4 A1 for 16 and 15 OR M1 for 140 ÷ 9 soi by 15.5 M1 for 15 × 5 and 15 × 4 soi by 75 and 60 M1 for 140 ÷ 7 soi by 20 M1 for 4 × their 20 and 3 × their 20 soi by 80 and 60 SC1 for 15 without working Accept correct alternative methods Their 20 must come from a division of 140 15 from incorrect working scores 0 ba 12 13 2GCSE (9-1) Mathematics Grades 1-4 Practice Materials 13 © OCR 2020 Question Answer Marks Part marks and guidance 9 786.65 4 M1 for 28361 – 27612 soi by 749 M1 for their 749 × [0].85 implied by 636.65 or their 749 × 85 implied by 63665 M1 for their 636.65 + 150 or their 63665 + 15000 Accept alternative methods 10 Vertices at (4, 8) (8, 2) (4, 2) 3 B2 for 2 vertices correct Or M1 for correct enlargement incorrect position Condone freehand if vertices ±2mm by eye 11 31.4[2] or 31.41… 2 M1 for π × 10 oe Method can be spoiled 12 (a) 7 cao 1 Do not allow a7 or a7 (b) 12 cao 1 Do not allow b12 or b12 13 (a) Accept any correct explanation e.g. sample size is small, no mention of subjects being randomly selected 1 If more than one choose the best one (b) Two points accurately plotted 2 B1 for each (c) Positive 1 Ignore any extras e.g. strong 14 (a) A correct distance conversion e.g. 400 ÷ 1000 or [0].4 or 5 × 1000 or 5000 A scale factor e.g. 5[000] ÷ 400 soi by figs 125 or 840 ÷ 66 soi by 12.727…or 12.73 or figs 127 Correct time conversion e.g. 14 × 60 or 840 or 66 ÷ 60 or 1[m] 6[s] or 1.1 or 825 ÷ 60 Correct figures e.g. 13.75 or 13.7 or 13.8 [14] 5.09… or 5.1 [5] 5090[. …] or 5100 5000 825 840 12.5 12.7… 5.95 or 5.9 or 6 6.06… or 6.1 M1 M1 M1 A1 Accept any correct method Dep on M3 (b) An acceptable response e.g. [he will not maintain this rate because] he will get tired 1 Accept any correct reason, must not be contradicted 12 Tolerance ± small squareGCSE (9-1) Mathematics Grades 1-4 Practice Materials 14 © OCR 2020 Question Answer Marks Part marks and guidance 15 246 6 B1 for 6 , 6.5 or 6h 30m AND M2 for their 6 × 2 × 12 soi by 156 Or M1 for their 6 × 12 soi by 78 or their 6 × 2 AND M2 for 12 × 1 × 5 soi by 90 Or M1 for 12 × 1 soi by 18 or 1 × 5 soi by 7 or 12 × 5 soi by 60 1 13, 78 or 156 imply B1 2 12 12 12 12 12 12 12OCR Resources: the small print OCR’s resources are provided to support the delivery of OCR qualifications, but in no way constitute an endorsed teaching method that is required by OCR. 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