Cambridge IGCSE Mathematics 0580 — 2011 May/June Paper 3 · Variant 1
0580/31/M/J/11 · 3 questions · 104 marks · ≈117 min
The question paper and its mark scheme, free to read here and free to download. This is Cambridge’s own paper, exactly as it was sat.
Question paper16 pages
Mark scheme5 pages
Answers below. Sit the paper first if you are practising.
Questions as text
Q1 · Mr and Mrs Clark and their three children live in the USA and take a holiday in Europe
1 Mr and Mrs Clark and their three children live in the USA and take a holiday in Europe. For Examiner's (a) Mr Clark changes $500 into euros (€) when the exchange rate is €1 = $1.4593. Use Calculate how much he receives. Give your answer correct to 2 decimal places. Answer(a) € [2] (b) Tickets for an amusement park cost €62 for an adult and €52 for a child. Work out the cost for Mr and Mrs Clark and their three children to visit the park. Answer(b) € [3] (c) Mr Clark sees a notice: SPECIAL OFFER! Family ticket €200 Work out €200 as a percentage of your answer to part (b). Answer(c) % [1] (d) Mrs Clark buys 6 postcards at €0.98 each. For She pays with a €10 note. Examiner's Use Calculate how much change she will receive. Answer(d) € [2] (e) Children under a height of 130 cm are not allowed on one of the rides in the park. Helen Clark is 50 inches tall. Use 1 inch = 2.54 cm to show that she will not be allowed on this ride. Answer(e) [1]
Mark scheme: Qu. Answers Mark Part Mark 1 (a) 342.63 2 M1 for 500 ÷ 1.4593 (b) 280 3 M1 for 2 × 62 + 3 × 52 B1 for 124 or 156 seen (c) 71.4 or 71.42 to 71.43 1ft (d) 4.12 2 B1 for 6 × 0.98 seen B1 for 5.88 or 4 + 6 × 0.02 (e) correct working 1 50 × 2.54 = 127 oe or 130 ÷ 2.54 = 51.2 or better
Q2 · For Examiner's Use The shape above is the net of a solid drawn on a 1 cm square grid
2 For Examiner's Use The shape above is the net of a solid drawn on a 1 cm square grid. (a) Write down the geometrical name of the solid. Answer(a) [1] (b) Find the perimeter of the net. Answer(b) cm [1] (c) Work out For Examiner's (i) the area of one of the triangles, Use Answer(c)(i) cm2 [2] (ii) the volume of the solid. Answer(c)(ii) cm3 [2] (d) A cuboid of length 4 cm and width 3 cm has the same volume as the solid. Calculate the height of the cuboid. Answer(d) cm [2]
Mark scheme: 2 (a) (triangular) prism 1 (b) 49.6 to 50.4 1 (c) (i) 6 2 M1 for ½ × 4 × 3 oe (ii) 42 2ft M1 for their (c)(i) × 7 (d) 3.5 2ft M1 for their (c)(ii) ÷ (3 × 4) oe
Q7 · For B Examiner's Use T P A (i) Reflect triangle T in the line AB
7 (a) For B Examiner's Use T P A (i) Reflect triangle T in the line AB. Label your image X. [1] (ii) Rotate triangle T through 90° clockwise about the point P. Label your image Y. [2] y (b) 8 7 R 6 5 4 3 Q 2 P 1 x –1 0 1 2 3 4 5 6 7 8 9 10 11 12 –1 Describe the single transformation which maps (i) flag P onto flag Q, Answer(b)(i) [3] (ii) flag P onto flag R. Answer(b)(ii) [2]
Mark scheme: (ii) 3 ft B2 for 5 or 6 points correct 7 points correct B1 for 3 or 4 points correct 1 Must be close to parabolic in shape smooth curve (iii) 1 −1.5 to −1.3 cao 1 1.3 to 1.5 cao (c) 1, 1 (−1, −1) and (3, 7) cao IGCSE – May/June 2011 0580 31 6 (a) (i) 144 1 (ii) 125 1 (iii) 103 1 (iv) 159 1
What was in this paper
The subtopics covered by these 3 questions, and how many questions each got. Open one in a new tab to see every Cambridge question on it.
What you needed in this session
Cambridge’s own grade thresholds for 2011 May/June, Paper 3 · Variant 1. A higher threshold means an easier paper — the bar moves with how the cohort did.