Higher January 2019 Paper 1 Q13

EdexcelHigherCurrent spec5 marksSets

13 All the students in Year 11 at a school must study at least one of Geography (\(G\)), History (\(H\)) and Religious Studies (\(R\)).
In Year 11 there are 65 students.
Of these students

15 study Geography, History and Religious Studies
21 study Geography and History
16 study Geography and Religious Studies
30 study Geography
18 study only Religious Studies
37 study Religious Studies

(a) Using this information, complete the Venn diagram to show the number of students in each region of the Venn diagram. (3)

Blank Venn diagram in a universal set E with three overlapping circles G, H and R

A student in Year 11 who studies both History and Religious Studies is chosen at random.

(b) Work out the probability that this student does not study Geography. (2)

Completed Venn diagram: G only 8, G and H only 6, H only 14, G and R only 1, all three 15, H and R only 3, R only 18, outside the circles 0 — Mark scheme (a)

Scheme	Marks
	M2
Correct Venn diagram	A1
	(3)

Mark scheme (b)

Scheme	Marks
	M1
\(\dfrac{3}{18}\) oe	A1
	(2)
	(5 marks)

Notes

M1: ft from Venn diagram for \(\dfrac{a}{\text{``}{18}\text{''}}\) where \(a\) is an integer and \(1 \leqslant a \lt \text{``}{18}\text{''}\) or for \(\dfrac{\text{``}{3}\text{''}}{b}\) where \(b\) is an integer and \(b \gt \text{``}{3}\text{''}\)

A1: ft from Venn diagram