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

0580/33/M/J/10 · 2 questions · 20 marks · ≈23 min

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Question paper12 pages

Cambridge IGCSE Mathematics 0580 2010 May/June Paper 3 · Variant 3 question paper, page 1 of 12
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Cambridge IGCSE Mathematics 0580 2010 May/June Paper 3 · Variant 3 question paper, page 10 of 12
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Mark scheme5 pages

Answers below. Sit the paper first if you are practising.

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Questions as text

Q1 · A bookshop sold a total of 2750 books in January

1 A bookshop sold a total of 2750 books in January. Examiner's Use (a) The ratio hardback books sold : paperback books sold was 4 : 7. Calculate how many paperback books were sold. Answer(a) [2] (b) 24% of the 2750 books sold were non-fiction. Calculate how many non-fiction books were sold. Answer(b) [2] (c) 330 cookery books were sold. Write 330 as a fraction of 2750 in its lowest terms. Answer(c) [2] (d) In February, the bookshop sold 14% more than the 2750 books sold in January. Calculate the number of books sold in February. Answer(d) [3] (e) The total value of the books sold in January was $9480 correct to the nearest 10 dollars. Write down the lower bound for this amount. Answer(e) $ [1] (f) 35000 books were sold in a year. Write this number in standard form. Answer(f) [1]

Mark scheme: Qu. Answers Mark Part Marks 771 (a) 1750 2 M1 × 2750 oe 4 + 7 24× 2750 (b) 660 2 M1 100 3 (c) 2 W1 for equivalent fractions 25 114 (d) 3135 cao 3 M2 × 2750 oe 100 14 If M0 then M1 for × 2750 or 385 seen 100 (e) 9475 1 cao (f) 3.5 × 104 1 cao

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Q2 · Write down Examiner's Use (i) five numbers which are multiples of 7, Answer(a)(i) , , ,…

2 (a) Write down Examiner's Use (i) five numbers which are multiples of 7, Answer(a)(i) , , , , [2] (ii) two common multiples of 4 and 7. Answer(a)(ii) and [2] (b) 10 12 13 16 17 23 25 39 From the list above, write down (i) a square number that is also an odd number, Answer(b)(i) [1] (ii) a prime number that is one more than a square number. Answer(b)(ii) [1] (c) n is an integer and n3 is between 60 and 70. Find the value of n. Answer(c) n = [1] (d) k and m are prime numbers. k2 + m = 23 Find k and m. Answer(d) k = m = [2]

Mark scheme: 2 (a) (i) Any 5 multiples of 7 2 –1 each error or omission (ii) Two multiples of 28 2 W1, W1 (b) (i) 25 1 cao (ii) 17 1 cao (c) 4 1 cao (d) (k =) 2, (m =) 19 2 W1, W1 IGCSE – May/June 2010 0580 33 3 (a) 3, 5, −1 3 1 each f f i f i

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