Mathematics · May / June 2022 · Paper 42 · Question 4
0580
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The question as text
NOT TO SCALE 45° 38° 6.4 cm 10.9 cm C B A D ABCD is a trapezium with DC parallel to AB. DC = 6.4 cm, DB = 10.9 cm, angle CDB = 38° and angle DAB = 45°.
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4(a)[3]
7.06 or 7.058… or 7.059 [3]
M2 for 2 + 2 −× × × 6.4 10.9 2 6.4 10.9 cos38 oe OR
M1 for 6.42 + 10.92 – 2 × 6.4 × 10.9 × cos 38 oe A1= 49.8...
4(b)(i)[1]
97 [1]
4(b)(ii)[3]
15.3[0…] [3]
M2 for [AB =] 10.9 sin × their 97 sin45
or M1 for sin their 97 sin45 = oe AB 10.9
4(c)[3]
72.8 to 72.81… [3]
M2 for 1 1 ( ) × × + × × 6.4 10.9 sin38 their 15.3 10.9 sin38 2 2 oe
or M1 for 1 × × × 6.4 10.9 sin38 oe 2 or 1 × × × their 15.3 10.9 sin38 oe 2
or M1 for height =10.9 × sin38 oe
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