Download [PDF] October 2015 CAIE P2 Mark Schemes 1112 Mathematics Cambridge Lower Secondary Checkpoint

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[PDF] October 2015 CAIE P2 Mark Schemes 1112 Mathematics Cambridge Lower Secondary Checkpoint.pdf | Plain Text

This document consists of 11 printed pages and 1 blank page. IB15 10_1112_02/4RP © UCLES 2015 [Turn over Cambridge International Examinations Cambridge Secondary 1 Checkpoint MATHEMATICS 1112/02 Paper 2 October 2015 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 2015 1112/02/O/N/15 Question number 1 Part Mark Answer Further Information 1 Saturday ticked or stated in explanation and a correct reason, e.g.  Mode on Monday is 1 and mode on Saturday is 2  2 is greater than 1 Total 1 Question number 2 Part Mark Answer Further Information (a) 1 Add 6 (b) 1 83 Total 2 Question number 3 Part Mark Answer Further Information 1 time time time time depth of water depth of waterdepth of water depth of water Total 1

3 © UCLES 2015 1112/02/O/N/15 [Turn over Question number 4 Part Mark Answer Further Information 1 6.85(000…) (cm) Total 1 Question number 5 Part Mark Answer Further Information 2 E 01 H F G Award 1 mark if any 2 of F, G and H are positioned correctly. Total 2 Question number 6 Part Mark Answer Further Information (a) 1 5y + 8 or 8 + 5y (b) 1 12w + 30 or 30 + 12w Total 2 Question number 7 Part Mark Answer Further Information (a) 1 2 : 3 (b) 1 ($)8 Allow follow through from an incorrect answer to part (a). Total 2

4 © UCLES 2015 1112/02/O/N/15 Question number 8 Part Mark Answer Further Information 1 52 (%) Total 1 Question number 9 Part Mark Answer Further Information 2 2 5of 410 38% of 420 Award 1 mark for 159.60 or 164 seen and ( 52 of 410 =) 164 and (38% of 420 =) 159.60 Total 2 Question number 10 Part Mark Answer Further Information 2 27.0 (cm) Award 1 mark for sight of π × 8.6 or 2 × π × 4.3 Total 2

5 © UCLES 2015 1112/02/O/N/15 [Turn over Question number 11 Part Mark Answer Further Information (a) 1 0 ≤ l < 1 | | | 3 1 ≤ l < 2 | | | | | | | 8 2 ≤ l < 3 | | | | | | 7 3 ≤ l < 4 | | 2 (b) 1 Draws a complete and correct frequency diagram. Do not award mark for a diagram which has gaps between the bars. Allow follow through from their frequencies. (c) 1 True  False  True  False  Total 3 Question number 12 Part Mark Answer Further Information 2 (B) C (or kite) D (or parallelogram) A (or rectangle) E (or square) Award 1 mark for at least 2 correct answers. Total 2 Question number 13 Part Mark Answer Further Information 1 7) 5 ( n or equivalent. Total 1

6 © UCLES 2015 1112/02/O/N/15 Question number 14 Part Mark Answer Further Information 1 (0).429 (hectares) Total 1 Question number 15 Part Mark Answer Further Information 2 (2, –1) Award 1 mark for each of the coordinates. Award 1 mark for both values correct but incorrect notation used e.g. ( x2, y-1) (x =2, y = -1) Total 2 Question number 16 Part Mark Answer Further Information 2 18 000 0.0060 Award 1 mark for each. Total 2 Question number 17 Part Mark Answer Further Information 1 3 7 Total 1

7 © UCLES 2015 1112/02/O/N/15 [Turn over Question number 18 Part Mark Answer Further Information 3 355 (cm 3) Award 2 marks for a complete correct method, e.g.  71 × 5  [(7 × 8) + (5 × 3)] × 5  [(8 × 4) + (13 × 3)] × 5  280 + 75  160 + 195  [7 × 13 - 4 × 5] × 5 Award 1 mark for sight of any of these calculations or answers in brackets:  7 × 8 + 5 × 3 (= 71)  8 × 4 + 13 × 3 (= 71)  7 × 8 × 5 (= 280)  8 × 4 × 5 (= 160)  5 × 3 × 5 (= 75)  13 × 3 × 5 (= 195)  7 × 13 × 5 (= 455)  4 × 5 × 5 (= 100) Total 3 Question number 19 Part Mark Answer Further Information 1 8.08 Total 1

8 © UCLES 2015 1112/02/O/N/15 Question number 20 Part Mark Answer Further Information (a) 1 Negative (correlation) (b) 1 Indicates Graph A and gives a correct reason, e.g.  Babies generally get heavier as they get older  Older babies weigh more  Mass and age of babies will be positively correlated (and Graph A shows positive correlation) Total 2 Question number 21 Part Mark Answer Further Information 1 9 Total 1

9 © UCLES 2015 1112/02/O/N/15 [Turn over Question number 22 Part Mark Answer Further Information 3 cylinder cuboid jug and (volume of cylinder =) 1178 (cm 3) and (volume of cuboid =) 1440 (cm 3) or 1178 1440 2000 or 1.18 1.44 2 Award 2 marks for either  1180 (or better) seen and 1440 seen or  one of 1180 or 1440 seen with a correct follow through order. Assuming only 1 error Award 1 mark for either 1180 (or better) or 1440 seen. Award maximum 1 mark for correct answer with no working . Total 3 Question number 23 Part Mark Answer Further Information (a) 2 A straight line passing through (0, 3) and (1.5, 0) and extending as far as (-1, 5) and (3, -3). Award 1 mark for:  any straight line through (0, 3) or (1.5, 0) or  for a line with gradient –2, i.e. parallel to correct line. (b) 1 ( x) = 2 ( y) = -1 Follow through from their (a) to the nearest half square if the two lines intersect. Total 3

10 © UCLES 2015 1112/02/O/N/15 Question number 24 Part Mark Answer Further Information 2 56.3(38...) or 56 (litres) For 2 marks accept 56.34 or 56.32 Award 1 mark for an attempt to find the cost of one litre ($1.42) and divide 80 by that. or Award 1 mark for an attempt to find the amount that can be bought for $1 (0.704.. litres) and multiply that by 80 or Award 1 mark for using proportions e.g. (80 ÷ 54.67) × 38.5 Total 2 Question number 25 Part Mark Answer Further Information (a) 1 0.6 or equivalent (b) 1 Team A and (The relative frequencies are) 0.43(75) or 0.44 and 0.32(14…) or 167 is bigger than 289 Total 2

11 © UCLES 2015 1112/02/O/N/15 [Turn over Question number 26 Part Mark Answer Further Information (a) 1 060 (°) (b) 1 310 (°) Total 2 Question number 27 Part Mark Answer Further Information 3 Supermarket (is cheaper) by ($)1.26 Award 2 marks for sight of any of  ($)39.06  ($)37.8(0) and 0.875 × 18 × 2.48 (oe)  Correct method with 1 arithmetic error  2.17 and 0.07 × 18 Award 1 mark for  2.10 × 18  ($)37.8(0)  18 × 2.48  44.64  2.17 seen Total 3

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