Mathematics · May / June 2021 · Paper 41 · Question 9
0580
As printed in the paper
The question as text
NOT TO SCALE 24 cm 20 cm 3 cm C F A D E B The diagram shows a prism, ABCDEF. AB = 13 cm, AC = 20 cm, CF = 24 cm and angle ABC = 90°.
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9(a)[6]
1350 or 1354…. [6]
M2 for 2 2 20 − 13
or M1 for BC2 + 132 = 202
A1 for 231 or 15.2 or 15.19 to 15.20
M1 for 20 × 24 and 13 × 24 and their 15.2 × 24
M1 for [½ ×] their 15.2 × 13
9(b)[1]
2370 or 2369 to 2371… cao [1]
9(c)[4]
24.6 or 24.58 to 24.59 [4]
M3 for sin [...] = 13 oe 2 2 20 + 24 2 2 2 2 2
or M2 for 20 + 24 or 24 + 20 − 13
or M1 for AF2 = 202 + 242 or 242 + 202 - 132
or M1 for correct angle identified
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