Cambridge IGCSE Mathematics 0580 — 2010 May/June Paper 3 · Variant 3
0580/33/M/J/10 · 2 questions · 20 marks · ≈23 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 paper12 pages












Mark scheme5 pages
Answers below. Sit the paper first if you are practising.





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
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
What was in this paper
The subtopics covered by these 2 questions, and how many questions each got. Open one in a new tab to see every Cambridge question on it.