Download [PDF] April 2018 CAIE P2 Mark Schemes 1112 Mathematics Lower Secondary Checkpoint

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This document consists of 11 printed pages. IB18 05_1112_02/4RP © UCLES 2018 [Turn over Cambridge International Examinations Cambridge Secondary 1 Checkpoint M ATHEM ATICS 1112/02 Paper 2 MARK SCHEME Maximum Mark : 40 IMPORTANT NOTICE Mark Schemes have been issued on the basis of one copy per Assistant examiner and two copies per Team Leader.

1112/02 Checkpoint Secondary 1 – Mark Scheme April 2018 POST-STANDARDISATION © UCLES 2018 Page 2 of 11 Mark scheme annotations and abbreviations M1 method mark A1 accuracy mark B1 independent mark FT follow through after error dep dependent oe or equivalent cao correct answer only isw ignore subsequent working soi seen or implied

1112/02 Checkpoint Secondary 1 – Mark Scheme April 2018 POST-STANDARDISATION © UCLES 2018 Page 3 of 11 Question Answ er Marks Further Information 1 Two negative numbers that multiply to make 18 e.g. –3 ( ×) ‒6 –9 ( ×) ‒2 1 Accept correct decimals or fractions. 2 0.4 8 5 28 (%) 2 Allow equivalents e.g. 104 , 40% 0.625, 62.5% 0.28, 100 28 , 25 7 one correct answer. B1 3(a) Point plotted at (5, 11) 1 Allow tolerance of half a square. 3(b) 4 (years) 1 3(c) A description of the relationship in words e.g. • Older cars have less value / newer cars are worth more • As the age of a car increases, its value goes down 1

1112/02 Checkpoint Secondary 1 – Mark Scheme April 2018 POST-STANDARDISATION © UCLES 2018 Page 4 of 11 Question Answ er Marks Further Information 4(a) ($) 800 (per month) 1 4(b) Ticks Oliver’s house and shows supportive working, e.g. • sight of 850 ($ per month) • sight of (800 × 12 =) 9600 • sight of (850 × 15 =) 12 750 1 Follow through from answer to part (a) 5 2 A trapezium -shaped travel graph that shows a journey leaving home at 8.30 and arriving home at a time between 10.05 and 10.15 or for a completely correct horizontal section M1

1112/02 Checkpoint Secondary 1 – Mark Scheme April 2018 POST-STANDARDISATION © UCLES 2018 Page 5 of 11 Question Answ er Marks Further Information 6 12.8 cm 2 Evidence of a method of dividing by 7 and multiplying by 4. e.g. • ×4 22.4 7 • 22.4 ÷ 7 × 4 M1 7 Accurate construction of a kite with the two additional vertices lying within tolerance (± 2mm) with correct arcs . 2 either one additional vertex constructed accurately (sides of kite may not be drawn in) or accurate kite drawn but no evidence of four correct construction arcs. M1 within tolerance (± 2mm) 8 38 (crates) 2 1865 ÷ 48 or 39 or 38.85… or 38.9 seen B1

1112/02 Checkpoint Secondary 1 – Mark Scheme April 2018 POST-STANDARDISATION © UCLES 2018 Page 6 of 11 Question Answ er Marks Further Information 9(a) 1 Accept any unambiguous indication of the correct answer. 9(b) 10 1 10 70 (%) 2 Sight of 250 175 (oe) or 250 175 ÷ M1 11 6n or 2 × 3n 3 n + 2 or 2 + 3 n e.g. 5 + ( n – 1) × 3 oe 2 one correct answer . B1 12 5 11 1 13 6 or more triangles on the grid sharing at least one edge with another triangle, creating a tessellation. 1

1112/02 Checkpoint Secondary 1 – Mark Scheme April 2018 POST-STANDARDISATION © UCLES 2018 Page 7 of 11 Question Answ er Marks Further Information 14 875 (grams) 2 Evidence of a correct conversion between kilograms and grams. This could be implied by sight of any of these values: 1600 (grams) 0.325 (kg) 400 (grams) 1200 (grams) 725 (grams) M1 Do not accept just 1 kg = 100 0 g for the conversion. 15 125 (kilometres) 1 16 (a) 4.5 (cm) 1 16 (b) 35 (°) 1 17 45 (g) 0.08 (kg) 0.14 (kg) 1200 (g) 1 18 3.5 oe 1 19 15 5 1

1112/02 Checkpoint Secondary 1 – Mark Scheme April 2018 POST-STANDARDISATION © UCLES 2018 Page 8 of 11 Question Answ er Marks Further Information 20 (a) y = 30 x + 70 1 20 (b) 1 A stra ight line from (0, 70) to (5, 22 0) FT from their (a) provided both boxes contain a number greater than 0. 20(c) 1.5 ± 0.1 1 FT from their line in (b), as long as there is a n appropriate point on the line, i.e. not from a step graph. 21 600 (cm 2) 2 6 × their side length squared or 10 2 or 100 seen M1

1112/02 Checkpoint Secondary 1 – Mark Scheme April 2018 POST-STANDARDISATION © UCLES 2018 Page 9 of 11 Question Answ er Marks Further Information 22 (multiply by) 5 1 23 The children got higher scores (on the second test ). 1 Allow a statement implying that the second test had a higher score e.g. “the second test was easier”, “the children improved” etc. Do not accept: a statement about one test only, e.g. the mode for the second test was 6. reference to the number of students changing 24 53(.3) (million hectares) 2 either 0.22 × 3860 or 849.2 or 849 or 0.21 × 3790 or 795.9 or 796 M1

1112/02 Checkpoint Secondary 1 – Mark Scheme April 2018 POST-STANDARDISATION © UCLES 2018 Page 10 of 11 Question Answ er Marks Further Information 25 2 Award 2 marks for C in correct position within template. Accept ± 2° in the drawing of the angles. one correct bearing drawn implied by the position of a point . B1 26 (a) 3.73229… (cm) 1 26 (b) 3.7 (cm) 1 Allow 4 or 3.73 (cm) Do not allow 3.732 Accept follow through from (a) . Do not award a mark if no rounding takes place. 27 ($)125 (.00) 1 Question Answ er Marks Further Information

1112/02 Checkpoint Secondary 1 – Mark Scheme April 2018 POST-STANDARDISATION © UCLES 2018 Page 11 of 11 28 91 2 either 0.18 × 200 implied by 36 or 0.22 × 250 implied by 55 M1 29 82 (cm 2) 2 Correct method of one area, e.g. • 0.5 × 12 × 3 implied by 18 • 8 × 4 implied by 32 • 8 × 8 implied by 64, provided this is not doubled later. M1