Cambridge IGCSE Mathematics 0580 — 2024 May/June Paper 1 · Variant 1

1 (a) Write 0.8 as a fraction. ................................................. [1] (b) Write 28% as a decimal. ................................................. [1] (c) Write 4876 correct to the nearest hundred. ................................................. [1]

Mark scheme: Question Answer Marks Partial Marks 1(a) 8 1 oe fraction 10 1(b) 0.28 1 1(c) 4900 cao 1

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2 A B Measure the length of line AB in millimetres. .......................................... mm [1]

Mark scheme: 2 107 1

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3 The travel graph shows the journey of a bus. 14 12 10 8 Distance (km) 6 4 2 0 14 00 14 30 15 00 15 30 16 00 Time (a) Find the distance the bus travels in the first 50 minutes. ........................................... km [1] (b) Find how long, in minutes, the bus is stationary. .......................................... min [1]

Mark scheme: 3(a) 10 1 3(b) 40 1

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4 Write down the order of rotational symmetry of a rhombus. ................................................. [1]

Mark scheme: 4 2 1

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5 The diagram shows a shape on a 1 cm2 grid. Find the area of this shape. .......................................... cm2 [1]

Mark scheme: 5 12 1

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6 (a) Work out. 28 - 16 ' 2 ................................................. [1] (b) Find the reciprocal of 4. 5 ................................................. [1]

Mark scheme: 6(a) 20 1 6(b) 1 1 1.25 or 1 oe 4

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7 The temperature on Monday is –27 °C. The temperature on Tuesday is 15 °C higher than on Monday. Work out the temperature on Tuesday. ............................................. °C [1]

Mark scheme: 7 12 1

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8 Draw all the lines of symmetry on this shape. [2]

Mark scheme: 8 2 correct lines of symmetry 2 B1 for one correct line and no extras or two correct lines and one extra

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9 y 8 7 6 A 5 4 3 C 2 1 B x – 8 – 7 – 6 – 5 – 4 – 3 – 2 – 1 0 1 2 3 4 5 – 1 – 2 The diagram shows two sides of a parallelogram ABCD. Find the coordinates of point D. ( ...................... , ...................... ) [2]

Mark scheme: 9 (–3, 7) 2 B1 for correct diagram or for correct coordinates for their point D or for (-3, k) or (k, 7)

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10 h cm NOT TO SCALE 6 cm 15 cm The total surface area of this cuboid is 369 cm2. Work out the value of h. h = ................................................ [4]

Mark scheme: 10 4.5 4 M3 for 2  6 h  15 h   369  2  6  15  or better or M2 for 2 6  15  6  h  15  h  oe or M1 for [2] 6  15 or [2] 6h or [2] 15h

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11 Geetha has a box of toys. She picks a toy at random from the box. The probability that she picks a wooden toy is 0.6 . (a) Work out the probability that she does not pick a wooden toy. ................................................. [1] (b) The box contains three types of toys, wooden, plastic or metal. Type of toy Wooden Plastic Metal Number of toys 14 14 Probability 0.6 Complete the table. [2]

Mark scheme: 11(a) 0.4 oe 1 11(b) 42 2 B1 for 42 0.2 0.2 B1 for 0.2 and 0.2 If B0 scored, SC1 for their two probabilities each being half of their (a)

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12 The table shows some information about two sequences. nth term 5th term Sequence A 60 – 4n Sequence B n2 – 300 Complete the table. [2]

Mark scheme: 12 40 2 B1 for each –275

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13 Find the coordinates of the point where the line y = 3x - 5 crosses the y-axis. ( ...................... , ...................... ) [1]

Mark scheme: 13  0, 5  1

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14 By writing each number in the calculation correct to 1 significant figure, find an estimate for the value of 28. 2 - 5. 6 . 4.2 # 1.68 You must show all your working. ................................................. [2]

Mark scheme: 14 30  6 M1 4  2 3 nfww A1 If 0 scored, SC1 for 3 correct roundings or all correct but with trailing zeros

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15 Factorise completely. 36x 2 + 40x ................................................. [2]

Mark scheme: 9 x 2  10 x15 4 x  9 x  10  2 B1 for x  36 x  40  or 4   final answer or 2 x 18 x  20  or for 4 x  9 x  10  seen then spoilt

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16 NOT TO SCALE x + 7 3x - 12 The diagram shows a rectangle with length 3x - 12 and width x + 7 . Find an expression for the perimeter of the rectangle. Give your answer in its simplest form. ................................................. [3]

Mark scheme: 16 8 x  10 or 2  4 x  5  3 B2 for 8 x  10 seen and spoilt final answer or M2 for 2  x  7   2  3 x  12  oe or M1 for x  7  3 x  12 oe or B1 for 8 x or  10 in final answer

More questions on Area and perimeter

17 The diagram shows a circle, centre O. P lies on the circle. P O (a) Write down the mathematical name of the line OP. ................................................. [1] (b) Draw a tangent to the circle at P. [1]

Mark scheme: 17(a) radius 1 17(b) Ruled line drawn through P 1 perpendicular to OP

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18 Find the greatest odd number that is a factor of 140 and a factor of 210. ................................................. [2]

Mark scheme: 18 35 2 B1 for answer 5 or 7 or 70 or M1 for 2 × 2 × 5 × 7 and 2 × 3 × 5 × 7 or two correct factor trees or tables or 5  7 k seen

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19 Calculate. (a) 3 343 - 40.96 ................................................. [1] (b) (192 + 4 # 16 ) .125 ................................................. [1]

Mark scheme: 19(a) 3 1 0.6 or 5 19(b) 1024 1

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21 Calculate .1827 # 10 6 ' 9000 . Give your answer in standard form. ................................................. [2]

Mark scheme: 21 2.03  10 2 cao 2 B1 for 203 oe If 0 scored, SC1 for writing their ordinary number correctly in standard form

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22 Solve the simultaneous equations. You must show all your working. 6x + 2y = 29 3x - 4y = 17 x = ................................................ y = ................................................ [3]

Mark scheme: 22 Correctly eliminating one variable M1  x  5 A1  y  0.5 A1 If M0 scored SC1 for 2 values satisfying one of the original equations

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23 Change 9.6 km/h into m/s. ........................................... m/s [2]

Mark scheme: 23 2 2 9.6  1000 2 or 2.67 M1 for oe 3 60  60 or 2.666 to 2.667

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24 These are the first five terms of a sequence. 11 18 25 32 39 Find an expression for the nth term of the sequence. ................................................. [2]

Mark scheme: 24 7n + 4 oe final answer 2 B1 for 7n + j or kn + 4 k ≠ 0 or 7n + 4 seen then spoilt

More questions on Sequences

25 12.8 cm J L NOT TO SCALE 12.8 cm K The diagram shows a shape made from a triangle JKL and a semicircle with diameter JL. JKL is an isosceles right-angled triangle with JK = JL = 12.8 cm. (a) Calculate the area of this shape. ........................................... cm2 [3] (b) Calculate the perimeter of this shape. ............................................ cm [4]

Mark scheme: 25(a) 146 or 3 146.2 to 146.3 1 M1 for  12.8  12.8 2  1   12.8  2 M1 for       2   2  25(b) 51[.0] or 4 1 M1 for  12.8 51.00 to 51.01… 2 2 2 12.8 M2 for 12.8  12.8 or oe Sin 45 or M1 for 12.8 2  12.8 2 oe 12.8 or sin 45 = oe KL

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