Higher June 2023 Paper 1 Q5
5 \(\mathscr{E} = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\}\)
\(A = \{\)odd numbers\(\}\)
\(B = \{\)square numbers\(\}\)
(a) Complete the Venn diagram for this information.
A number is chosen at random from the universal set \(\mathscr{E}\)
(b) Find the probability that this number is in the set \(B'\) (2)
| Answer | Mark | Mark scheme |
|---|---|---|
| Venn diagram | B3 | for a fully correct Venn diagram |
| (B2 | for two or three of the four regions correct) | |
| (B1 | for just one of the four regions correct) |
Additional guidance
Ignore all entries except the region you are marking for each method mark
| Answer | Mark | Mark scheme |
|---|---|---|
| \(\dfrac{7}{10}\) | M1 | (ft diagram) for \(\dfrac{a}{10}\) where \(0 \lt a \lt 10\) and \(a\) is an integer or \(\dfrac{7}{b}\) where \(b \gt 7\) and \(b\) is an integer or \(1 - \dfrac{3}{10}\) or 7 : 10 |
| A1 | (ft diagram) for \(\dfrac{7}{10}\) oe |
Additional guidance
Repeated digits in the diagram should be counted as 2 elements
Accept any equivalent fraction, or 0.7 or 70%