Pythagoras: WJEC GCSE Intermediate November 2023 Unit 2 Q16

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Intermediate November 2023 Unit 2 Q16

WJECIntermediateCurrent spec4 marksPythagoras

16.

Diagram not drawn to scale

Calculate the length of the side AC.
Give your answer correct to 3 significant figures. [4]

Mark scheme

Scheme	Marks	Comments
(\(AC^2\) = ) 8² + 4·5² or equivalent	M1	Check diagram. note: (\(AC^2\) =) 64 + 20·25.
(\(AC\) =) \(\sqrt{8^2 + 4.5^2}\) or equivalent	m1	note: (\(AC\) =) √84·25. FT √’their 84·25’ for m1 only provided M1 gained.
9·18 (cm)	A2	Mark final answer for A2. CAO. Award A1 for one of the following: 9·17(878…) rounded or truncated to at least one decimal place \(\dfrac{\sqrt{337}}{2}\). Final answer of AC = 84·25 is M1m0A0.

Scheme

Marks

Comments

(\(AC^2\) = ) 8² + 4·5² or equivalent

Check diagram.
note: (\(AC^2\) =) 64 + 20·25.

(\(AC\) =) \(\sqrt{8^2 + 4.5^2}\) or equivalent

note: (\(AC\) =) √84·25.
FT √’their 84·25’ for m1 only provided M1 gained.

9·18 (cm)

Mark final answer for A2.
CAO.

Award A1 for one of the following:

Final answer of

Scheme	Marks	Comments
A correct and complete method (using trigonometric relationships)	M2
(AC =) 9·18 (cm)	A2	CAO. Mark final answer. Award A1 for one of the following: 9·17(878…) rounded or truncated to at least one decimal place \(\dfrac{\sqrt{337}}{2}\).