4MA0 Higher June 2014 Paper 3 Q7
7
(a) \(A = \{\text{p, r, a, g, u, e}\}\)
\(B = \{\text{p, a, r, i, s}\}\)
\(C = \{\text{b, u, d, a, p, e, s, t}\}\)
List the members of the set
\(B = \{\text{p, a, r, i, s}\}\)
\(C = \{\text{b, u, d, a, p, e, s, t}\}\)
List the members of the set
(i) \(A \cap B\)
(ii) \(B \cup C\)
(2)(b) \(D = \{\text{r, o, m, e}\}\)
\(E = \{\text{l, i, s, b, o, n}\}\)
\(F = \{\text{b, e, r, l, i, n}\}\)
Put one of the letters \(D\), \(E\) or \(F\) in the box below to make the statement correct. \[A \cap \boxed{\phantom{E}} = \varnothing\] Explain your answer. (1)
\(E = \{\text{l, i, s, b, o, n}\}\)
\(F = \{\text{b, e, r, l, i, n}\}\)
Put one of the letters \(D\), \(E\) or \(F\) in the box below to make the statement correct. \[A \cap \boxed{\phantom{E}} = \varnothing\] Explain your answer. (1)
| Scheme | Marks |
|---|---|
| (i) Answer: {p, r, a} | B1 |
| (ii) Answer: {p, a, r, i, s, b, u, d, e, t} | B1 |
| (2) |
Notes
B1: Withhold marks for repeats
B1: Withhold marks for repeats
| Scheme | Marks |
|---|---|
| E no letters common to Prague and Lisbon | B1 |
| (1) | |
| (3 marks) |
Notes
B1: dep on E in box
Accept general reasons.
e.g. “no letters common to sets A and E”
or “they share no common letters”
or “no intersection (between A and E)”
or “no letters the same”
or “no letter in A are in E”.