Download [PDF] April 2016 CAIE P2 Mark Schemes 1112 Mathematics Cambridge Lower Secondary Checkpoint

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[PDF] April 2016 CAIE P2 Mark Schemes 1112 Mathematics Cambridge Lower Secondary Checkpoint.pdf | Plain Text

This document consists of 10 printed pages. IB16 05_1112_02/4RP © UCLES 201 6 [Turn over Cambridge International Examinations Cambridge Secondary 1 Checkpoint M ATHEM ATICS 1112/02 Paper 2 April 2016 MARK SCHEME Maximum Mark : 50 IMPORTANT NOTICE Mark Schemes have been issued on the basis of one copy per Assistant examiner and two c opies per Team Leader.

2 © UCLES 2016 1112/02/A/M/16 Question number 1 Part Mark Answ er Further Information (a) 1 7 (kg) (b) 1 55 (g) Total 2 Question number 2 Part Mark Answ er Further Information 1 28 (cm ) 30 (cm ) 320 (mm ) 0.35 (m) Total 1 Question number 3 Part Mark Answ er Further Information 1 10 (minibuses) Total 1 Question number 4 Part Mark Answ er Further Information 2          Award 1 mark if 2 ticks are correctly placed. Total 2

3 © UCLES 2016 1112/02/A/M/16 [Turn over Question number 5 Part Mark Answ er Further Information 1 18 (edges) Total 1 Question number 6 Part Mark Answ er Further Information 2 (17 to) 24 25 to 32 Award 1 mark for 2 correct numbers or if second interval has gap of 7 with any integer starting point greater than 17. To tal 2 Question number 7 Part Mark Answ er Further Information (a) 1 Kendra has 3 more birds than cats. Kendra has 3 more cats than birds .  Kendra has 1 cat and 3 birds . Kendra has 3 birds and 1 cat. (b) 1 r = 2 b (or equivalent ) Total 2

4 © UCLES 2016 1112/02/A/M/16 Question number 8 Part Mark Answ er Further Information (a) 1 71 Accept decimal rounding to 0.14 (or percentage rounding to 14%) . Do not accept ratio notation (e.g. 1 : 7) or an answer expressed in words (e.g. unlikel y or 1 out of 7) . (b) 1 7 3 Accept decimal rounding to 0.43 (or percentage rounding to 43%). Do not accept ratio notation (e.g. 3 : 7) or an answer expressed in words . (c) 1 74 Accept decimal rounding to 0.57 (or percentage rounding to 57%) . Do not accept ratio notation (e.g. 4 : 7) or an answer expressed in words . Total 3 Question number 9 Part Mark Answ er Further Information (a) 1 (x = ) 11 (b) 2 (n = ) 7 Award 1 mark for correct first step at simplif ying equation, e.g. sight of any of: • 4 n + 3 = 31 • 6 n = 2 n + 28 • 4 n = 28 • 3 = – 4 n + 31 • 6n – 28 = 2 n Total 3

5 © UCLES 2016 1112/02/A/M/16 [Turn over Question number 10 Part Mark Answ er Further Information 1 43(.3566…%) Total 1 Question number 11 Part Mark Answ er Further Informati on 1 45 (minutes) Total 1 Question number 12 Part Mark Answ er Further Information 2 (4)1 = (0.) 25 (5) 4 = 80 (% ) Award 1 mark for either statement correct or for sight of one of these statements: 4 2 = 0.5(0) 51 = 20% 52 = 40% Total 2

6 © UCLES 2016 1112/02/A/M/16 Question number 13 Part Mark Answ er Further Information 2 For 2 marks, there should be 1 quadrilateral in each cell and the names written shoul d all be different . Do not allow square for two marks. For 1 mark, 2 cells containing only correct quadrilaterals from the below Square • Rhombus • Parallelogram • Rectangle • Square • Rectangle • Isosceles trapezium • Square • Parallelogram • Rhombus • Rectangle • Squar e Property Name of quadrilateral All sides equal Square Two sets of parallel sides Rhombus or Parallelogram or R ectangle Diagonals are equal in length Rectangle (or Isosceles trapezium) Rotational symmetry of order 2 Parallel ogram or Rhombus or Rectangle Total 2 Question number 14 Part Mark Answ er Further Information (a) 1 3a2 (b ) 1 9 – 2a (or –2a + 9) Total 2

7 © UCLES 2016 1112/02/A/M/16 [Turn over Question number 15 Part Mark Answ er Further Information (a) 2 x 4 y 960 Awar d 1 mark for each correct answer. (b) 1 y = 32 x or x = 32 y or equivalent Total 3 Question number 16 Part Mark Answ er Further Information 1 13.6 136 000 196.5 1965 000 Total 1 Question number 17 Part Mark Answ er Further Information (a) 1 3n + 4 Do not accept n = 3 n + 4 (b) 1 3004 Follow through from (a) for 1000 substituted for n and evaluated correctly. Total 2

8 © UCLES 2016 1112/02/A/M/16 Question number 18 Part Mark Answ er Further Information 2 Award 1 mark for unordered. or Award 1 mark for 1 error or omission. Unordered plus error or omission is no marks. Total 2 Question number 19 Part Mark Answ er Further Information 1 (x → ) 4 x Total 1

9 © UCLES 2016 1112/02/A/M/16 [Turn over Question number 20 Part Mark Answ er Furth er Information 2 0.54 (m 3) Award 1 mark for 1.2 × 0.6 × 0.75 or 120 × 60 × 75 or 540 000 seen. Total 2 Question number 21 Part Mark Answ er Further Information 1 increase and 120 Total 1 uestion number 22 Part Mark Answ er Further Inform ation 2 Award 1 mark if one or two correct answers are ringed with at most one incorrect answer. Total 2

10 © UCLES 2016 1112/02/A/M/16 Question number 23 Part Mark Answ er Further Information (a) 1 6(3 – 2 e) (b) 2 –3c – 14d or – 14d – 3 c Accept –(3c + 14 d) or −(14d + 3c) Award 1 mark for 4 c – 14d – 7 c seen or follow through from an incorrect expansion to award 1 mark for correct simplification e.g. 4 c – 14d + 7 c leading to 11c – 14d Total 3 Question number 24 Part Mark Answ er Further Information 2 80 (km/ h) Award 1 mark for 180 ÷ 2.25 or equivalent. e.g.180 × 94 or 180 × 13560 Do not accept use of 2.15 instead of 2.25 Total 2

11 © UCLES 2016 1112/02/A/M/16 [Turn over Question number 25 Part Mark Answ er Further Information 1 (x =) 10 and (y =) 40 Total 1 Question number 26 Part Mark Answ er Further Information 3 Rotation 90(°) (or ¼ turn) anticlockwise Centre (3,9) Award 1 mark for each. Do not accept ‘turn right’ or ‘turn left’ for the direction of turn. Total 3 Question number 27 Part Mark Answ er Further Information 2 Manuel and gives correct working. Correct working could involve finding how many litres of petrol Lotte buys (27.5 litres) or finding the cost of Manuel’s petrol ($41.32 or $41.318). Award 1 mark for sight of a correct method that could be used to make a comparison. This is likely to be 27.01 18.5 28.3 × (oe) (implied by 41.318 seen) or 18.5 27.01 40.15 × (oe) (implied by 27.5 seen) or Award 1 marks for 41.3 seen and Manual ticked or for ‘Lotte buys 28’ or ‘Lotte buys 27’ and Manuel ticked Total 2