4MA0 Higher January 2015 Paper 4 Q6
6 \(\mathscr{E} = \{\text{positive whole numbers less than } 19\}\)
\(A = \{\text{odd numbers}\}\)
\(B = \{\text{multiples of } 5\}\)
\(C = \{\text{multiples of } 4\}\)
(a) List the members of the set
(i) \(A \cap B\)
(ii) \(B \cup C\)
(2)\(D = \{\text{prime numbers}\}\)
(b) Is it true that \(B \cap D = \varnothing\) ?
Tick (✓) the appropriate box.
Yes ☐ No ☐
Explain your answer. (1)
Tick (✓) the appropriate box.
Yes ☐ No ☐
Explain your answer. (1)
| Scheme | Marks |
|---|---|
| (i) Answer: 5, 15 | B1 |
| (ii) Answer: 4, 5, 8, 10, 12, 15, 16 | B1 |
| (2) |
| Scheme | Marks |
|---|---|
| No ticked and 5 is a prime number (and a multiple of 5) | B1 |
| (1) | |
| (3 marks) |
Notes
B1: oe explanation
eg. 5 is in both sets