1 Using set notation, describe the regions shaded on the Venn diagrams below. A B Y X Z … … [2]

1 ′ ∩ A B oe B1 ( ) ( ) ∩ ∪ ∩ X Y X Z or ( ) ∩ ∪ X Y Z B1

5 (a) Given that A = 2 0 6 3 1 4 - f p and that , A O A + = (i) state the order of the matrix A, [1] (ii) write down the matrix O. [1] (b) B = 1 3 1 2 - e o and C = . . . . 0 4 0 6 0 2 0 2 - e o . Find the matrix product BC and state a relationship between B and C. [2] (c) D = a a 1 4 5 - e o , where a is a positive integer. Find D-1 in terms of a. [2]

5(a)(i) 3 by 2 or 3 × 2 B1 5(a)(ii) 0 0 0 0 0 0           B1 5(b) 1 0 0 1       and B is C−1 oe B2 B1 for either 5(c) 5 4 1 1 9 −       a a a B2 B1 for 1 9       a or 5 4 ... 1 −   ×    a a

9 Given that A 5 9 2 3 = - - e o and B 2 6 1 5 = e o, find (i) A 1 - , [2] (ii) B2, [2] (iii) the matrix C, where B C A B 1 + = - , [3] (iv) the matrix D, where B DA I 2 = - . [3]

9(i) 1 3 B1 3 2 9 5 − −   ×    B1 9 (ii) 2 10 7 42 31   =     B B2 Minus one each error 9(iii) 2 = − C B BA M1 1 1 15 3   =   − −   BA A1 9 6 57 34   =     C A1 9(iv) D = B2A–1 M1 33 15 1 153 71 3   =     D A2 Minus one each error

1 A, B and C are subsets of the same universal set. (i) Write each of the following statements in words. (a) A B 1Y [1] (b) A C + Q = [1] (ii) Write each of the following statements in set notation. (a) There are 3 elements in set A or B or both. [1] (b) x is an element of A but it is not an element of C. [1]

1(i)(a) A is not a [proper] subset of B oe B1 1(i)(b) A and C are mutually exclusive oe or A intersection C is the empty set oe B1 1(ii)(a) ( ) n 3 A B ∪ = B1 1(ii)(b) ( ) x A C′ ∈ ∩ oe B1

Cambridge IGCSE Additional Mathematics · 0606

IGCSE Additional Mathematics (0606) Sets & Matrices (2016-2019 syllabus only) past paper questions

Set and matrix questions from the 2016–2019 syllabus, kept for students working through the older papers.

18 free questions from 2016–2019, each with its marking scheme. Open the full topical bank to filter by subtopic, paper, and year.

2019 Oct/Nov · Paper 1 · Q1 · 2 marks
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2019 May/Jun · Paper 2 · Q5 · 6 marks
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2019 Oct/Nov · Paper 2 · Q9 · 10 marks
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2018 May/Jun · Paper 2 · Q1 · 4 marks
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