Cambridge IGCSE Mathematics - International 0607 — 2019 May/June Paper 2 · Variant 3

1 Work out. (- 2) 3 .................................................... [1]

Mark scheme: Question Answer Marks Partial Marks 1 − 8 1

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2 f (x) = 1 - 3x Find the value of f (- 1) . .................................................... [1]

Mark scheme: 2 4 1

3 132° NOT TO SCALE 71° x° Find the value of x. x = .................................................... [2]

Mark scheme: 3 61 2 M1 for 180 − 132 or M1 for 132 − 71

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4 Expand the brackets and simplify. 2 ( 3x - 1) + 3 ( 1 - 2x) .................................................... [2]

Mark scheme: 4 1 2 M1 for 6 x − 2 + 3 − 6 x

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5 A quadrilateral has • two pairs of parallel sides • all sides the same length • no right angles. Write down the mathematical name of this quadrilateral. .................................................... [1]

Mark scheme: 5 Rhombus 1

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6 16 10 11 15 10 12 14 13 17 10 15 Find the median of these eleven numbers. .................................................... [1]

Mark scheme: 6 13 1

7 Work out. 2 2 5 # 1 5 3 .................................................... [3]

Mark scheme: 7 9 3 27 5 M2 for × oe 5 3 27 5 or B1 for or 5 3

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8 Work out the following. Give each answer in standard form. (a) (1 # 10 1) + (2 # 10 -2) .................................................... [2] (b) (1 # 10 1) ' (2 # 10 -2) .................................................... [2]

Mark scheme: 8(a) 1.002 × 10[1] 2 B1 for 10.02 8(b) 5 × 10 2 2 M1 for correct answer not in standard form

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9 A bag contains 2 blue balls, 3 red balls and 5 green balls only. John takes a ball out of the bag at random. He records the colour and puts the ball back in the bag. Flavia takes a ball out of the bag at random and records the colour. Find the probability that both balls are red. .................................................... [2]

Mark scheme: 9 0.09 oe 2 M1 for 0.3 × 0.3 oe

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10 a = b = 8 - 8 (a) Find a - 3b . [2] f p (b) Work out a . .................................................... [2]

Mark scheme: 10(a)  0  2 0  k    B1 for  or    32  k  32  10(b) 10 2 M1 for 6 2 + 8 2 soi by 100

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11 A travel agent has the following exchange rates. £1 = $1.25 £1 = €1.20 (a) Change £200 into dollars ($). $ .................................................... [1] (b) Change $100 into euros (€). € .................................................... [2]

Mark scheme: 11(a) 250 1 11(b) 96 2 120 M1 for 100 × oe 125

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12 The point A has co-ordinates (1, 3) and the point B has co-ordinates (4, 1). B is the midpoint of the line AC. Find the co-ordinates of the point C. ( ................... , ................... ) [2]

Mark scheme: 12 (7, − 1) 2 B1 for (7, k) or (k, –1) If 0 scored SC1 for (2.5, 2) 13 2 s − 2ut M1 for correctly multiplying by 2 [ a = ] oe 2 3 M1 for correctly collecting terms t M1 for correctly dividing by 2t

13 Make a the subject of s = ut + at 2 . 2 a = ..................................................... [3]

Mark scheme: Question Answer Marks Partial Marks 7 9 3 27 5 M2 for × oe 5 3 27 5 or B1 for or 5 3 8(a) 1.002 × 10[1] 2 B1 for 10.02 8(b) 5 × 10 2 2 M1 for correct answer not in standard form 9 0.09 oe 2 M1 for 0.3 × 0.3 oe 10(a)  0  2 0  k    B1 for  or    32  k  32  10(b) 10 2 M1 for 6 2 + 8 2 soi by 100 11(a) 250 1 11(b) 96 2 120 M1 for 100 × oe 125 12 (7, − 1) 2 B1 for (7, k) or (k, –1) If 0 scored SC1 for (2.5, 2) 13 2 s − 2ut M1 for correctly multiplying by 2 [ a = ] oe 2 3 M1 for correctly collecting terms t M1 for correctly dividing by 2t

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14 Factorise completely. 6ac - 9bc - 8ad + 12bd .................................................... [2]

Mark scheme: 14 (3c − 4 d )(2 a − 3b ) 2 M1 for either factor correct or M1 for 3c (2 a − 3b ) − 4 d (2 a − 3b ) or 2 a (3c − 4 d ) − 3b (3c − 4 d )

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15 Erica walks 13 km in 2 hours. She then runs at a speed of 12 km/h for 45 minutes. Find her average speed in km/h for the whole journey. ........................................... km/h [3]

Mark scheme: 15 8 3 M1 for correctly finding total time or total distance M1 for their distance/their time

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16 D NOT TO SCALE C y° A x° B O The diagram shows a circle, centre O. AOB is a straight line. BCD is a tangent to the circle at C. Find y in terms of x. y = .................................................... [3] Question 17 is printed on the next page.

Mark scheme: 16 [ y = ]135 + 0.5 x 3 M2 for 180 − y = 45 − 0.5 x or M1 for 90 − x as angle at centre

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17 The table shows the heights, x cm, of some students at a school. Height (x cm) Frequency 150 1 x G 160 8 160 1 x G 165 20 165 1 x G 170 24 On the grid below, draw a histogram to show this information. 5 4 3 Frequency density 2 1 0 x 150 160 170 Height (cm) [3]

Mark scheme: 17 Correct histogram 3 B2 for 3 correct heights 0.8, 4, 4.8 or B1 for 2 correct heights or all widths correct If 0 scored, SC1 for 0.8, 4, 4.8 seen

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