Foundation November 2017 Paper 3 Q17
17 PQRS is a square.
G is the midpoint of PQ and H is the midpoint of QR.
Triangle GHS is shaded.
Not to scale
Find the ratio shaded area : area of square in its simplest form.
Show all your working. [4]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 3 : 8 cao | 4 | Using fractions M1 for \(\dfrac{1}{4}\) [+] \(\dfrac{1}{4}\) [+] \(\dfrac{1}{8}\) M1 for 1 – their \(\dfrac{5}{8}\) B1 for their \(\dfrac{3}{8} : \dfrac{8}{8}\) Using Areas M1 for un-shaded area = 2 \(\times\) 2 \(\times\) 1 \(\div\) 2 + 1 \(\times\) 1 \(\div\) 2 (= 2.5) oe M1 shaded area = their 4 – their 2.5 B1 for their (1.5 : 4) | May be on diagram Any side length allowed eg 1 \(\to\) 0.625 (1) 2 \(\to\) 2.5 (4) 3 \(\to\) 5.625 (9) 4 \(\to\) 10 (16) 5 \(\to\) 15.625 (25) 6 \(\to\) 22.5 (36) 7 \(\to\) 30.625 (49) 8 \(\to\) 40 (64) |