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This document consists of 11 printed pages and 1 blank page. IB16 10_1112_01/4RP © UCLES 2016 [Turn over Cambridge International Examinations Cambridge Secondary 1 Checkpoint M ATHEM ATICS 1112/01 Paper 1 October 2016 MARK SCHEME Maximum Mark : 50 IMPORTANT NOTICE Mark Schemes have been issued on the basis of one copy per Assistant examiner and two copies per Team Leader.

2 © UCLES 2016 1112/01/O/N/16 Question number 1 Part Mark Answ er Further Information (a) 1 (y =) 240 (b) 1 (x =) 7 Total 2 Question number 2 Part Mark Answ er Further Information 1 Total 1 Question number 3 Part Mark Answ er Furthe r Information 2 or Award 1 mark for one side of the triangle adding up to 100 using the numbers provided. Total 2

3 © UCLES 2016 1112/01/O/N/16 [Turn over Question number 4 Part Mark Answ er Further Information (a) 2 1000 100 0.064 Award 1 mark if 2 answers are correct. (b) 1 (4) tenth (s) (4) thousandth (s) Total 3 Question number 5 Part Mark Answ er Further Information (a) 1 (1, – 3) Do not accept ( x = 1, y = ‒3) (b) 1 Plots D at ( –1, 1) Total 2

4 © UCLES 2016 1112/01/O/N/16 Question number 6 Part Mark Answ er Further Information (a) 1 21 (b) 1 80 Total 2 Question number 7 Part Mark Answ er Further Information (a) 1 m – 2 (b) 1 3m (or equivalent) Total 2 Question number 8 Part Mark Answ er Further Information (a) 1 1.5 (litres) or 1 21 (litres) (b) 1 18.9 (kilograms) or equivalent Total 2 Question number 9 Part Mark Answ er Further Information 1 30 Total 1

5 © UCLES 2016 1112/01/O/N/16 [Turn over Ques tion number 10 Part Mark Answ er Further Information 3 Award 2 marks for either of these situations • all areas correct and at least 1 dimension correct • all dimensions correct Award 1 mark for either • all areas correct or • at least one dimension correct Total 3 Question number 11 Part Mark Answ er Further Information (a) 1 Straight line drawn from (2.30 pm, 90) to (5.15 pm, 0) . i.e. (b) 1 50 (kilometres ) Accept 49 to 51 Follow through from their (a) (tolerance ±2) provided that their (a) has a negative gradient and intersects the given graph. Total 2

6 © UCLES 2016 1112/01/O/N/16 Question number 12 Part Mark Answ er Further Information 2 9.18 Award 1 mark for 9180 or 91.8 or 0.918 seen. Award 1 mark for a correct method e.g. × 2 5 5 3 6 1 5 3 0 7 6 5 0 9 1 8 0 but with at most 1 arithmetic error. Total 2 Question number 13 Part Mark Answ er Further Information 1 5 Total 1 Question number 14 Part Mark Answ er Further Information 1 48 ÷ 20 = 48 ÷ 2 ÷ 10 48 ÷ 20 = 48 × 5 ÷ 100 48 ÷ 20 = 20 ÷ 48 × 48 ÷ 20 = 48 ÷ (4 × 5) Total 1

7 © UCLES 2016 1112/01/O/N/16 [Turn over Question number 15 Part Mark Answ er Further Information 2 32 or equivalent Award 1 mark for 3 7 and 7 2 seen or Correctly multiplying their 3 7 and their 7 2 (must see a correct answer) or Attempting to expand the brackets with three correct from 3, – 7 15 , – 3 2, + 21 10 or equivalent . Total 2 Question number 16 Part Mark Answ er Further Information 2 Less than 1 litre Equal to 1 litre More than 1 litre 1400 millilitres  1000 cm 3  100 000 mm 3  Award 1 mark for 2 correct rows. Total 2

8 © UCLES 2016 1112/01/O/N/16 Question number 17 Part Mark Answ er Further Information (a) 1 (b) 1 Accept any orientation. Accept hidden lines if dotted. Total 2 Question number 18 Part Mark Answ er Further Information 1 2 Total 1

9 © UCLES 2016 1112/01/O/N/16 Question number 19 Part Mark Answ er Further Information (a) 2 38 Award 1 mark for (34 + 36) × 19 o r 70 × 19 or 2 × 19 or sight of 1330 or 646 or 684 (b) 2 108 Award 1 mark for either 2 × 54 or 2 × 27 × 2 or 27 × 4 or sight of 2916 Award 0 marks for 27 2 54 × seen. Total 4

10 © UCLES 2016 1112/01/O/N/16 Question number 20 Part Mark Answ er Further Information (a) 1 1.5 or equivalent Do not allow 2 3x or 1.5x (b) 2 A straight line connecting (0, 3.5) and (7, 0). Award 1 mark for at least two correct points plotted (or seen in a t able) but not necessarily connected, e.g. (0, 3.5), (1, 3), (2, 2.5), (3, 2), (4, 1.5), (5, 1), (6, 0.5), (7, 0). This could be implied by a correct line that does not reach the axes. (c) 1 x = 2 y = 2.5 or equivalent Follow through from their answer to (b) provided that their line crosses the given graph at a single point. Total 4 Question number 21 Part Mark Answ er Further Information (a) 2 17 21 24 32 Award 1 mark for each value. (b) 1 Ticks ‘I n the evening’ and gives a correct explanation, e.g. • The median is higher in the evening. • The median time is lower at lunchtime. Follow through from their table for their 17 greater than 21 (c) 1 Ticks ‘I n the evening’ and gives a correct explanation, e.g. • The range is larger in the evening. Follow t hrough from their table for their 32 less than 24 Total 4

11 © UCLES 2016 1112/01/O/N/16 Question number 22 Part Mark Answ er Further Information 1 (0) < t ≤ 15 15 < t ≤ 30 30 < t ≤ 45 45 < t ≤ (60) Total 1 Question number 23 Part Mark Answ er Further Information 2 9 8 or equivalent Award 1 mark for 64 or 32 seen or ( 2 1+6 1) ÷ 4 3 or ( 2 1+6 1) × 34 Total 2 Question number 24 Part Mark Answ er Further Information 2 Award 1 mark either if two of the three vertices of the image are found correctly or if the image is the correct size, shape and orientation but is positioned incorrectly on the grid. Total 2

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