Mathematics · May / June 2020 · Paper 42 · Question 5
0580
As printed in the paper
The question as text
NOT TO SCALE 350 m North 400 m A B C D 450 m 140° The diagram shows a field ABCD. The bearing of B from A is 140°. C is due east of B and D is due north of C. AB = 400 m, BC = 350 m and CD = 450 m.
Read automatically from the paper; the printed page above is exact.
Show the answer and mark scheme
5(a)[2]
[0]38 or [0]37.9 or [0]37.87... [2]
M1 for tan = 350 450 oe If 0 scored,
SC1 for answer [0]52 or [0]52.1 or [0]52.12 to [0]52.13
5(b)[6]
624 or 623.8 to 623.9 [6]
M2 for 450 – 400 sin 50
or M1 for sin 50 = ... 400
M2 for 350 + 400 cos 50
or M1 for cos 50 = ... 400
M1 for (their (450 – 400 sin 50))2 + (their (350 + 400 cos 50))2
5(c)[4]
10 min 8 s [4]
B3 for 10.1 or 10.13…
or M2 for (400 + 350 + 450 + their DA) ÷ 3 [÷ 60] oe
or M1 for any distance ÷ 3
M1 for rounding their minutes into minutes and seconds to nearest second if clearly seen
Make a free account to save your answers and see your weak topics and ask the AI why a wrong answer is wrong.