Mathematics · May / June 2021 · Paper 41 · Question 5
0580
As printed in the paper
The question as text
NOT TO SCALE 6.4 cm 10.6 cm 78° 58° X C B A The diagram shows triangle ABC. X is a point on BC. AX = 10.6 cm, XC = 6.4 cm, angle ABC = 58° and angle AXB = 78°.
Read automatically from the paper; the printed page above is exact.
Show the answer and mark scheme
5(a)[4]
13.5 or 13.47… [4]
B1 for angle 102 seen
M2 for 2 2 10.6 + 6.4 − 2 10.6 × × 6.4 × cos 180 ( − 78 ) OR
M1 for 2 2 10.6 + 6.4 − 2 10.6 × × 6.4 × cos 180 ( − 78 )
A1 for 181.5…
5(b)[4]
8.68 or 8.682 to 8.683 nfww [4]
B1 for angle = 44
M2 for sin(180 – 58 – 78) × 10.6 sin 58 oe
or M1 for sin(180 − 58 − 78) sin58 = oe x 10.6
5(c)[3]
78.2 or 78.17 to 78.19… [3]
M2 for 1 10.6 2 × × ( 6.4 + their 8.68 ) × sin 78 ( ) oe OR
M1 for 1 2 × 10.6 × 6.4 × sin(180 – 78) oe
M1 for 1 10.6 2 × × their 8.68 sin78 × oe
Make a free account to save your answers and see your weak topics and ask the AI why a wrong answer is wrong.