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Cambridge International Examinations Cambridge Secondary 1 Checkpoint 1112/01 MATHEMATICS Paper 1 October 2017 MARK SCHEME Maximum Mark: 50 Published This mark scheme is published as an aid to teachers and candidates, to indicate the requirements of the examination. It shows the basis on which Markers were instructed to award marks. It does not indicate the details of the discussions that took place at a Markers’ meeting before marking began, which would have considered the acceptability of alternative answers. Mark schemes should be read in conjunction with the question paper and the End of Series report. Cambridge will not enter into discussions about these mark schemes. This document consists of 11 printed pages and 1 blank page. IB17 10_1112_01/2RP © UCLES 2017 [Turn over M1 A1 B1 FT dep oe cao isw soi method mark accuracy mark independent mark follow through after error dependent or equivalent correct answer only ignore subsequent working seen or implied Mark scheme annotations and abbreviations 1112/01 Page 2 of 12 Checkpoint Secondary 1 – Mark Scheme Published October 2017 Question Question Question 4 3 2 1 0.75 Answer 1.1 1.2 2.1 56 6 + e2 2e + 6 2 + 6×e 8e Answer Answer Page 3 of 12 An attempt to subtract 7 from both sides (e.g. 3r = 34 7) 7 34 or correct first step, e.g.: r 3 3 (r =) 9 0.7 Answer Question Further Information Further Information 1 Marks Further Information 1 Allow any unambiguous indication of the correct answer. Marks 2 Marks M1 Further Information October 2017 1 All correct for 1 mark. Allow any unambiguous indication of the correct answer. Marks Checkpoint Secondary 1 – Mark Scheme Published 1112/01 Question Question 7 6(b) 6(a) 5 ÷ 1000 × 1000 ÷ 10 Answer litres grams centimetres Answer Time spent doing homework Favourite subject Age of student Name of student 0.856 (km) millilitres kilograms millimetres (C =) np Page 4 of 12 Answer Question Further Information Further Information Further Information October 2017 1 Award 1 mark for both boxes ticked and no additional boxes ticked. Marks 1 1 Both correct for 1 mark. Marks 1 Accept equivalent answers, e.g.: pn np Marks Checkpoint Secondary 1 – Mark Scheme Published 1112/01 11 oe 12 12 63 and 12 28 3 Page 5 of 12 Marks 1 Answer 140 and 2 2 10(b) 12 M1 M1 2 Marks 1 or 5 4 12 4 15 or 4 and 2 12 12 oe e.g.: Correctly finding a common denominator. 2 Correctly converting to a common denominator. 10 2 35 7 and oe e.g.: and , 50 10 50 10 9 oe 10 Answer 1 19.18 9(b) 9(a) 6 10(a) Question Question 8 Answer Question Marks Checkpoint Secondary 1 – Mark Scheme Published 1112/01 Accept 12 35 or 1 for 2 marks. Further Information 12 23 Further Information Further Information October 2017 Question Question 13 12 11 2 5 7 20 2 9 5 6 1 Any two correct. 4 –5 8 Answer Four fractions correctly placed. 30 3 4 1 3 Answer 13 cm Terminating decimals 12 cm Recurring decimals 5 cm Page 6 of 12 30 cm Answer Question 2 Marks B1 Further Information Further Information 2 Award 2 marks if all fractions are in the correct column. Marks B1 Further Information October 2017 1 Accept any unambiguous indication of the correct answer. Marks Checkpoint Secondary 1 – Mark Scheme Published 1112/01 15 16(b) 16(a) Question Question 14 Answer 64 73 100 31 50 Page 7 of 12 Jamila has more results. Jamila opened twice as many packets of biscuits. Ticks Jamila and gives a correct reason relating to the number of times they carried out the experiment, e.g.: One column correct. Jamila’s estimate Lily’s estimate Answer 2 Further Information Only award either B1 or M1 Further Information Accept any unambiguous indication of the correct answers. 1 Do not allow just ‘Jamila has 100.’ oe Note that the reason must make a comparison between Lily and Jamila’s estimates. 73% 0.73 2 Accept equivalent fractions, percentages or decimals, e.g.: 62 62% 0.62 100 Marks B1 Further Information October 2017 1 Both answers must be ringed and no others for the award of the mark. Marks M1 36 Correct intersection shown on grid. 9 B1 8 One correct coordinate. (3, 5) 6 Answer Question Marks Checkpoint Secondary 1 – Mark Scheme Published 1112/01 Question Question 22 21 20 0 7 7 Answer Answer Answer Page 8 of 12 1 Marks 1 Marks 1 Ignore units. Marks Further Information Further Information Further Information 1 Accept 1995 – 1997 inclusive. 1996 19(b) Question 1 Further Information A correct comment relating to the line for 65 years and above, for example: The line for 65 years and above slopes up. There has been an increase in the percentage of people aged 65 and above. Marks Further Information Further Information 19(a) Answer 1 23 18(b) Question 1 Marks M1 2 20 Answer 5 × 22 = 20 (seen or implied) by 20 – 10. 36 18(a) Question 17 Answer Question Marks Checkpoint Secondary 1 – Mark Scheme Published 1112/01 October 2017 2 + 35%) correctly evaluated by converting 2 Page 9 of 12 Further Information 1 Allow follow through from part (a), i.e. 12 × their 19 Marks For example: 0.4 and 0.35 40% (and 35%) 8 7 and or equivalent fractions with equal 20 20 denominators. M1 228 (g) Answer and 35% to the same form. implied by sight of: 1 of students got grade C, oe 4 40 students in total M2 Further Information 25(b) 5 2 and 3 Marks 1 Do not accept 20 m = 380 v Correct conversion of 5 5 35% to the same form to get 0.25, or equivalent 1 (e.g. 25%, ). 4 1–( 16 Answer B1 2 Accept 62 or 6 6 or 36 6 for indicating a square number, or ‘36 is a square number’. (m =) 19 (v) 24 Finding 15 or 21 or 36 The 5th and 6th terms are 15 and 21 15 + 21 (= 36) = 62 Further Information October 2017 25(a) Question Question 23 Answer Question Marks Checkpoint Secondary 1 – Mark Scheme Published 1112/01 Question 27 26 M1 1 correct boundary or 2 incorrect boundaries with the correct form and correct follow through indication of the region. Page 10 of 12 1 Do not accept Further Information 2 3x Further Information October 2017 Notes on correct form: sight of an arc centre on the tree, a vertical line inside the garden stretching at least as far as their arc. 3 Allow lack of label, R, if intended region is clear. Marks M2 Patio Answer Both correct boundaries or 1 correct boundary, 1 incorrect boundary with follow through correct region, provided the incorrect boundary is of the correct form i.e., arc or line. R Tree Correct region, R: 3 2x Answer Question Marks Checkpoint Secondary 1 – Mark Scheme Published 1112/01 28 M1 An attempt at eliminating either m or n e.g. attempt to re-arrange one of the equations to make one variable the subject and then substitute their arrangement into the other equation, attempt at making the coefficients of m or n equal with no more than 1 error, arithmetic or sign, followed by an appropriate, consistent subtraction or addition across all 3 terms. correct substitution and evaluation from incorrect first value i.e. two values satisfying one of the original equations. Page 11 of 12 M2 An algebraic method leading to either m = 7 or n = –2 Algebraic method seen leading to (m =) 7 (n =) –2 Answer Question Further Information October 2017 3 Do not accept trial and improvement as a method. Marks Checkpoint Secondary 1 – Mark Scheme Published 1112/01 1112/01 Page 12 of 12 BLANK PAGE Checkpoint Secondary 1 – Mark Scheme Published October 2017