Cambridge IGCSE Mathematics 0580 — 2010 May/June Paper 3 · Variant 2

1 (a) (i) 1, 2 and 36 are factors of 36. Examiner's Use Write down all the other factors of 36. Answer(a)(i) [2] (ii) 1 and 2 are common factors of 36 and 90. Write down two more common factors of 36 and 90. Answer(a)(ii) [2] (b) Write down all the square numbers between 20 and 50. Answer(b) [3] (c) p and q are prime numbers. p3 × q = 56 Find p and q. Answer(c) p = q = [2]

Mark scheme: Qu. Answers Mark Part Marks 1 (a) (i) 3, 4, 6, 9, 12, 18 2 W1 for 4 or 5 correct and no errors or 6 correct and 1 error. (ii) Any two of 3, 6, 9,18 2 W1 for 1 correct and no errors or 2 correct and one extra, incorrect given. (b) 25, 36, 49 3 −1 each error or omission SC2 for all of 52, 62, 72. SC1 for all of 5, 6, 7 (c) p = 2, q = 7 2 W1 for either correct.

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2 Francis earns $150 per week. Examiner's He has $132 left after he pays his tax. Use (a) Calculate what percentage of his $150 he pays in tax. Answer(a) % [3] (b) He divides the $132 between expenses, savings and family in the ratio Expenses : Savings : Family = 15 : 7 : 11. Calculate his expenses. Answer(b) $ [3] (c) His rent is $24 per week. What fraction of the $132 is this? Give your answer as a fraction in its simplest form. Answer(c) [2] (d) His earnings of $150 per week increase by 8%. Calculate his new earnings. Answer(d) $ [2]

Mark scheme: 2 (a) 12 3 Either M1 for 150 − 132 soi M1 for ‘18’ ÷ 150 × 100 or M1 for 132/150×100 M1 for 100 – ‘88’ (b) 60 3 M1 for 15 + 7 +11 M1dep for 15 ÷‘33’ × 132, 132÷‘33’×15, 4×15 SC2 for 60:28:44 (c) 11 2 cao 2 W1 for 1266 or 448 or 336 or 224 (d) ($)162 2 M1 for 108 ÷ 100 × 150 or 150 + (8 ÷ 100 × 150) IGCSE – May/June 2010 0580 32

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