Foundation June 2022 Paper 2 Q19

(a) Circle the value of \(\sin 30^\circ\).

\(\dfrac{1}{2}\)
\(\dfrac{\sqrt{3}}{2}\)
\(\dfrac{1}{3}\)
\(\dfrac{\sqrt{3}}{3}\)
\(\dfrac{1}{4}\)

[1]

(b) Here is a right-angled triangle.

Not to scale

Work out the value of \(x\). [2]

Answer	Marks	Part marks and guidance
\(\dfrac{1}{2}\)	1

Mark scheme (b)

Answer	Marks	Part marks and guidance
12	2FT	B2FT for final answer \(12\sqrt{3}\), 8, \(8\sqrt{3}\) or 6 if consistent with their (a) or M1 for \(24 \times \dfrac{1}{2}\) or \(24 \times\) their (a)	For 1 or 2 marks, isw attempts to simplify the surds May be implied by their answer Ignore units