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

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GCSE (9-1) Mathematics Component 1 Grades 1-4 Practice Materials (Set 1) Qualification Accredited www.ocr.org.uk/maths GCSE (9-1) MATHEMATICS Practice Materials Grades 1-4 Practice Material ... s Set 1, 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 1) Time allowed: 45 minutes Name 50.Grades 1-4 Practice Materials 2 GCSE (9-1) Mathematics © OCR 2020 1Grades 1-4 Practice Materials 3 GCSE (9-1) Mathematics © OCR 2020 2 3 (a) (b) (b) [2]Grades 1-4 Practice Materials 4 GCSE (9-1) Mathematics © OCR 2020 4 5Grades 1-4 Practice Materials 5 GCSE (9-1) Mathematics © OCR 2020 6Grades 1-4 Practice Materials 6 GCSE (9-1) Mathematics © OCR 2020 77 8Grades 1-4 Practice Materials 7 GCSE (9-1) Mathematics © OCR 2020 9Grades 1-4 Practice Materials 8 GCSE (9-1) Mathematics © OCR 2020 10 (b)Grades 1-4 Practice Materials 9 GCSE (9-1) Mathematics © OCR 2020 11Grades 1-4 Practice Materials 10 GCSE (9-1) Mathematics © OCR 2020 12Grades 1-4 Practice Materials 11 GCSE (9-1) Mathematics © OCR 2020 13GCSE (9-1) Mathematics Grades 1-4 Practice Materials 12 © 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 13 © OCR 2020 Question Answer Marks Part marks and guidance 1 (a) (i) 44 1 ±2˚ (ii) Acute 1 Condone incorrect spelling (b) Parallel 1 Condone incorrect spelling 2 (a) (i) 7900 1 (ii) 8000 1 (b) 7 1 Do not allow 37 3 (a) 2 B1 for table completed with no more than 5 errors or omissions Ignore negative signs (b) 9 oe 25 2 B1FT for their correct numerator B1 for fraction with denominator 25 Ignore attempts to convert form or simplify Accept [0].36 or 36% but not ratio or in words 4 (a) Trapezium 1 (b) 6 1 5 6 4 B3 for 3 and 2.25 or for 5.25 OR M1 for 360 ÷ 15 soi by 24 M1 for 1440 ÷ 80 soi by 18 M1 for their 24 ÷ 8 and their 18 ÷ 8 or their (24 + 18) ÷ 8 OR M1 for 15 × 8 soi by 120 M1 for 80 × 8 soi by 640 M1 for 360 ÷ their 120 and 1440 ÷ their 640 Accept equivalent alternative methodsGCSE (9-1) Mathematics Grades 1-4 Practice Materials 14 © OCR 2020 Question Answer Marks Part marks and guidance 6 (a) 15 15 90 20 10 4 B3 for 4 correct Or B2 for 3 correct Or B1 for 2 correct If 0 scored SC1 for their apple = 2 x their grapefruit (b) 80 1 7 12 20 [pm] 4 SC3 for 1220 am OR B2 for LCM as 200 and M1 for 9:00 plus their LCM OR M1 for 25 = 5 x 5 and 40 = 2 x 2 x 2 x 5 and M1 for 9:00 plus their LCM OR B1 for listing [0]925, [0]950, 1015 and B1 for listing [0]940, 1020, 1100 8 28 oe 40 3 B2 for 0.7 or 70% OR B1 for 8 or 4 or oe and M1 for 40 – their (8 + 4) soi by 28 Answer must be a fraction ignore cancelling of fraction after but not conversion to decimal or percentage Allow or or 12 nfww 9 (a) 140 isw 2 B1 for 120 seen Accept 2 h[ours] 20 m[inutes] (b) 2.5 oe 2 B1 for 75 seen Or M1 for their 75 ÷ 30 correctly evaluated To 2 significant figures or better 10 (a) 20 1 28 40 30 100 8 40 4 40GCSE (9-1) Mathematics Grades 1-4 Practice Materials 15 © OCR 2020 Question Answer Marks Part marks and guidance (b) Line from (1310, 120) to (1420, 180) 2 B1 for line from (1310, 120) B1 for line to (1420, 180) Extra stop allowed A non-decreasing curve is OK 11 (a) (i) (4, 3) 1 (ii) (-2, -1) 1 (b) Point plotted at (3, -2) 1 Condone use of a letter (R) if clearly in correct position (c) Line y = 3 drawn 1 Minimum length 1 square 12 (a) (i) 3.15 or 3.2 2 Accept 3.0 to 3.3 M1 for 6.0 to 6.6 [cm] seen or 60 to 66 [mm] seen May be seen on diagram or on the answer line (ii) 115 1 Accept 113 to 117 (b) C marked 5cm from B C marked on bearing of 230° from B 2 Accept 4.8 to 5.2 cm Accept 226° to 234° B1 for one correct Condone C not labelled if clear indication is given e.g. marked with a cross If C not indicated, an arc radius 5cm, centre B scores B1 with no other arcs 13 (a) 93 ÷ 3 or 31 or 100 ÷ 3 or 33.3.. or 55 ÷ 1.55 or 3300 ÷ 93 or 35.5 or 35.48… or 55 ÷ 93 or 0.6 or 0.59… Their 31 × 100 or 3100 or their 33.3... × 93 or their 35.5 × 3 Their 3100 ÷ 60 soi by 51.6[6..] or 51.7 or 52 or 51[min] 40[sec] or 55 × 60 soi 3300 or 106[.5] or 106.45… 106.45 or 106[.5] > 100 or 51.6[6]. or 51.7 or 52 or 51[min] 40[sec] < 55 or 31[00] < 33[00] or So he can swim that distance 1 1 1 1 Accept any correct method Conclusion or comparison of correct values required e.g. 106.45 lengths in 55 mins (b) He swims at the same rate 1 Accept any correct statement e.g. he does not slow down, no breaks See below (c) He will get tired/he will slow down/not take breaks 1 Accept any correct statement See belowGCSE (9-1) Mathematics Grades 1-4 Practice Materials 16 © OCR 2020 Exemplar responses for Q13(b) Response Mark It took an equal amount of time per length 1 He can swim the other lengths at the same speed 1 He didn’t stop for a break 1 He took 31 seconds to swim each length 1 BOD Every 3 equals 93sec – every 1 equals 31sec 1 BOD He could swim more lengths in under 55 minutes 0 He can swim exactly 3 lengths in 93 seconds without losing a couple of seconds 0 Needs to swim faster 0 He swam 3 lengths in 1min 33sec 0 He’s a quick swimmer 0 That he could/couldn’t do it 0 That 93 ÷ 3 = 31 and 100 x 31 = 3100 which is less than 55 minutes 0 Exemplar responses for Q13(c) Response Mark Runs out of breath 1 He gets tired/slower 1 He may need a break 1 He might not be able to swim that far 1 He would have to maintain a constant speed 1 BOD He may not keep going at the same speed (doesn’t say why) 1 BOD He may take longer to swim 100 lengths 0 He’s not a good swimmer 0 Not enough practice 0OCR Resources: the small print OCR’s resources are provided to support the delivery of OCR 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