Worksheets · Foundation

Foundation geometry and equipment clinic

3 exam-style questions. Answers and the mark for each step are on the last page.

Question 1Calculator · 3 marks
A window is a rectangle 1.2 m wide and 0.9 m tall, with a semicircle on top. The diameter of the semicircle is the 1.2 m width.
(a) Work out the area of the window. Give your answer correct to 2 decimal places. (3)
Question 2Non-calculator · 4 marks
A regular polygon has interior angle $150^\circ$ .
(a) Find the number of sides. (3)
(b) Explain why the answer must be a whole number. (1)
Question 3Non-calculator · 4 marks
From A, B is on a bearing of $100^\circ$ and C is on a bearing of $170^\circ$ . AB = AC = 18 km.
(a) Find angle BAC. (2)
(b) Find angle ABC. (2)

Answers and marks

(a) $1.65\text{ m}^2$

(a) $12$

(b) A polygon has a whole number of edges; a non-integer result would mean the proposed regular polygon cannot exist.

C1 Correct conclusion with supporting reasoning: A polygon has a whole number of edges; a non-integer result would mean the proposed regular polygon cannot exist.

(a) $70$ °

(b) $55$ °

Foundation geometry and equipment clinic

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