GCSE (9-1) Mathematics Component 2 Grades 1-4 Practice Materials (Set 2) Time allowed: 45 minutes

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GCSE (9-1) Mathematics Component 2 Grades 1-4 Practice Materials (Set 2) Time allowed: 45 minutes Qualification Accredited www.ocr.org.uk/maths GCSE (9-1) MATHEMATICS Practice Materials Gr... ades 1-4 Practice Materials Set 2, Component 2 Version 1 J560 For first teaching in 2015© OCR 2020 GCSE (9-1) Mathematics Grades 1-4 Practice Materials 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 2 Grades 1-4 Practice Materials (Set 2) Time allowed: 45 minutes Name 50. .Grades 1-4 Practice Materials 2 GCSE (9-1) Mathematics © OCR 2020 2Grades 1-4 Practice Materials 3 GCSE (9-1) Mathematics © OCR 2020 3Grades 1-4 Practice Materials 4 GCSE (9-1) Mathematics © OCR 2020 4Grades 1-4 Practice Materials 5 GCSE (9-1) Mathematics © OCR 2020 (b) (a) (c) (a) (b) (c)Grades 1-4 Practice Materials 6 GCSE (9-1) Mathematics © OCR 2020Grades 1-4 Practice Materials 7 GCSE (9-1) Mathematics © OCR 2020 8Grades 1-4 Practice Materials 8 GCSE (9-1) Mathematics © OCR 2020 9Grades 1-4 Practice Materials 9 GCSE (9-1) Mathematics © OCR 2020Grades 1-4 Practice Materials 10 GCSE (9-1) Mathematics © OCR 2020 10Grades 1-4 Practice Materials 11 GCSE (9-1) Mathematics © OCR 2020 11Grades 1-4 Practice Materials 12 GCSE (9-1) Mathematics © OCR 2020 12Grades 1-4 Practice Materials 13 GCSE (9-1) Mathematics © OCR 2020 13 [2]GCSE (9-1) Mathematics Grades 1-4 Practice Materials 14 © OCR 2020 Component 2 – 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 15 © OCR 2020 Question Answer Marks Part marks and guidance 1 (a) 12 or 18 1 Allow 12 and 18 but no extras (b) Two from 2, 3, 5 2 B1 for one correct and one error If more than 2 values listed, max B1 scored 2 (a) (i) [0].9 1 Condone trailing zeros (ii) [0].75 1 (b) 0.4 or 40 cm clearly identified 2 M1 for 2.4 ÷ 6 or 240 ÷ 6 soi Condone trailing zeros M1 can be implied by fgs 4 as answer 3 (a) (i) 1.22 2 M1 for six or seven heights seen in the correct order 1.13, 1.15, 1.20, 1.22, 1.23, 1.24, 1.30 (ii) 0.17 or 17 cm 2 M1 for 1.30 – 1.13 or 30 – 13 soi (iii) 1.21 2 M1 for 8.47 ÷ 7 soi (b) x such that 1.22 ≤ x < 1.30 2 M1 for selecting a value stating/indicating that this leaves median unchanged or for selecting a value stating/indicating that this reduces the value of mean or for selecting a value stating/ indicating that this reduces the total of the heights 4 (a) Rhombus 1 Accept any clear indication (b) 2 1 (c) 12 2 M1 for 4 × 3 x 2 oe soi Accept any full method for area e.g. ½ × 4 × 6 5 (a) 28 1 Allow ±0.50 (b) 95 1 Allow ±1 (c) 72 3 Allow ±2 B1 for 1 kg costs £0.40 soi M1 for their 0.4 × 180 or their cost × 180 their equivalent weight e.g. 10 kg costs £4 e.g. 4 × 180 10 Note: award M2 for e.g. cost of 60 kg × 3 attempted 6 36% with a comparison of two correct values in the same form (e.g. because 0.36 is bigger than 0.35) 4 B1 for one correct conversion M1 for attempt to express both 7 and 36% in the same form enabling a comparison A1FT for correctly deciding which is bigger e.g. 7 = 0.35, 35% or 35/100; 36% = 0.36 or 36/100 OR M1 for fnding costs of weights that sum to 180 kg M1 for addition of these costs 20 20 2GCSE (9-1) Mathematics Grades 1-4 Practice Materials 16 © OCR 2020 Question Answer Marks Part marks and guidance 7 Angle BDC = 44 Correct reasons leading to angle BDC = 44 2 2 B1 for angle ABD = 44 or angle ADC = 100 Or M1 for their BDC = their ABD Two marks for [co-]interior angles [add up to 180] or allied angles [add up to 180] or angles between parallel lines [add up to 180] OR One mark for each relevant reason (maximum of two) from [angles in a] triangle [add up to] 180 alternate [angles are equal] corresponding [angles are equal] angles on a straight line [add up to] 180 Notation not required but values need to be identifed e.g. the angle must be named or the value written in the correct place in the diagram or for BDC, on the answer line Ignore answer line if angle BDC is identifed correctly in working If BDC is only correctly labelled on the diagram max B1 scored Reasons must be correct for their method leading to angle BDC = 44 180 may be implied in these reasons by a correct calculation 8 (a) x = y + 2 1 Condone y + 2 = x (b) d = C or d = C ÷ π 1 Condone C = d or C ÷ π = d 9 (a) (i) x = 3 1 (ii) y = x 1 Condone y = x ± 0 (b) Correct sketch of the graph of y = x2 1 U-shaped graph, approximately symmetrical going through the origin 10 (a) Valid explanation 1 Such as It should be 2 e.g. 2 is more than half (b) 6 : 11 or 1 : 11 or 1 : 15 or 6 : 1 1 Condone ratio not in its simplest form, e.g. using 6 and 11 π π 5 3 17 17 6 6 11GCSE (9-1) Mathematics Grades 1-4 Practice Materials 17 © OCR 2020 Question Answer Marks Part marks and guidance 11 (a) 10 3 M2 for 10 18[green] or 8 : 10 soi or 8 ÷ 4 × 5 oe Or M1 for 8 [red] or 4 : 5 soi 18 or 8 ÷ 4 oe Or B1 for 5 seen e.g. 5 = 2 × 5 [green grapes] 9 e.g. 19 = 2 [green grapes] (b) Red 15 Green 20 2 M1 for fraction equivalent to 4 or 3 seen 9 7 Or B1 for 3k red grapes and 4k green grapes, k a positive integer > 1 seen in working or as fnal answer If 0 scored, SC1 for red 16 green 20 or red 20 green 15 12 36 and 45 1 13 [0].35 oe 2 M1 for 1 – (0.2 + 0.45) oe isw conversion to other forms M1 implied by answer 0.53 14 (a) 19 31 1 (b) 2 10 12 2 B1 for 12 as third term Or B1 for their 1st term + their 2nd term = their third term e.g. -2, 12, 10 9OCR 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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