4400 Higher November 2008 Paper 4 Q9
9 \(\mathscr{E} =\) {Positive integers less than 11}
\(A =\) {Multiples of 3}
\(B =\) {Multiples of 2}
(a) List the members of
(i) \(A\),
(ii) \(A \cup B\).
(3)(b) \(\mathscr{E} =\) {Students in class 12Y}
\(P =\) {Students who study Mathematics}
\(Q =\) {Students who study History}
\(P =\) {Students who study Mathematics}
\(Q =\) {Students who study History}
(i) Describe the members of \(P \cap Q\).
(ii) \(R\) is also a set of students in class 12Y.
\(P \cap R = \varnothing\)
Use this information to write a statement about the students in set \(R\).
(3)\(P \cap R = \varnothing\)
Use this information to write a statement about the students in set \(R\).
| Scheme | Marks |
|---|---|
| (i) Answer: 3, 6, 9 | B1 |
| (ii) Answer: 2, 3, 4, 6, 8, 9, 10 | B2 |
| (3) |
Notes
B2: Any order
One omission or extra: B1
| Scheme | Marks |
|---|---|
| (i) Answer: (Students who study) maths and history in 12Y | B1 B1 |
| (ii) Answer: (They) don’t study maths | B1 |
| (3) | |
| (6 marks) |
Notes
B1 B1: or “study both” allow maths + history
indep
B1: or No students in \(R\) study maths
No students who study maths are in R
Not: They don’t study maths or history
In (b)(i) & (ii), answers must refer to context, not just sets