O-LevelMathematicsProbability4024/22 · May/June 2016 · Q68 Marks
E = {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 } A = { x : x is a prime number } B = {x: x is an even number } C = { x : x is a multiple of 5 } List the members of the subsets B∩C,
- (a)(i)(a)E = {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 } A = { x : x is a prime number } B = {x: x is an even number } C = { x : x is a multiple of 5 } List the members of the subsets B∩C,[1]
- (a)(i)(b)(A∪B∪C)',[1]
- (a)(i)(c)A∩B'.[1]
- (a)(ii)A number q is chosen at random from E. Find the probability that q ∈ A∩B'.[1]
- (b)(i)Find 2X + Y, where X = (3 -1; 2 0) and Y = (2 2; -1 1).[2]
- (b)(ii)Y⁻¹.[2]
Mark scheme
Marking points from the official mark scheme (May/June 2016). The mark or mark type is shown in brackets.
- [1] (a)(i)(a) 10
- [1] (a)(i)(b) 9
- [1] (a)(i)(c) 3,5,7,11
- [1] (a)(ii) 4/11 oe isw
- [1] (a)(ii) ft from their (a)(i)(c)
- [2] (b)(i) (8 0; 3 1) final answer
- [2] (b)(i) B1 for 3 correct elements
- [2] (b)(ii) 1/4 (-2 2; 1 2) oe isw
- [2] (b)(ii) B1 for k( -2 2; 1 2) or (a b; c d)
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