Mathematics · Oct / Nov 2020 · Paper 42 · Question 9
0580
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The question as text
70° A 8 cm 5 cm 12 cm D C G F B H E NOT TO SCALE The diagram shows a prism with a rectangular base, ABFE. The cross-section, ABCD, is a trapezium with AD = BC. AB = 8 cm, GH = 5 cm, BF = 12 cm and angle ABC = 70°.
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9(a)[6]
315 or 314.5 to 315.0 [6]
M1 for tan70 = height oe or better seen 1 8 - 5 ( ) 2 1 8 M1dep for ( + 5 ) ×their height or better 2 seen dep on trig attempt for height 1 8 ( − 5 ) 2
M2 for 12 × oe or better seen cos70 1 8 ( − 5 ) 2
or M1 for oe or better seen cos70
M1 for 8 × 12 oe isw and 5 × 12 oe isw
9(b)(i)[1]
8 – ½ (8 – 5) or 5 + ½ (8 – 5) [1]
M1
9(b)(ii)[2]
13.6 or 13.64 to 13.65 [2]
M1 for 122 + (6.5)2 oe
9(b)(iii)[2]
16.8 or 16.9 or 16.79 to 16.91… nfww [2]
M1 for identifying angle GAX from a diagram or from working or better
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