O-LevelAdditional MathematicsFunctions4037/12 · Oct/Nov 2015 · Q65 Marks
It is given that 𝓔 = {x : 1 < x < 12, where x is an integer} and that sets A, B, C and D are such that A = {multiples of 3}, B = {prime numbers}, C = {odd integers}, D = {even integers}. Write down the following sets in terms of their elements.
- (i)A ∩ B[1]
- (ii)A ∪ C[1]
- (iii)A' ∩ C[1]
- (iv)(D ∪ B)'[1]
- (v)Write down a set E such that E ⊂ D.[1]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2015). The mark or mark type is shown in brackets.
- [B1] A ∩ B = {3}
- [B1] A ∪ C = {1, 3, 5, 6, 7, 9, 11, 12}
- [B1] A' ∩ C = {1, 5, 7,11}
- [B1] (D∪ B)' = {1,9}
- [B1] Any set containing up to 5 positive even numbers < 12
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