Mathematics · Oct / Nov 2025 · Paper 42 · Question 15
0580
As printed in the paper
The question as text
A ė 140Ě C Ñ 180 m 300 m 112 m NOT TO SCALE The diagram shows a field, AÑCė, in the shape of a quadrilateral. Ñė is a straight path across the field.
Read automatically from the paper; the printed page above is exact.
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15(a)[3]
392 or 392.4 to 392.5 [3]
M2 for 2 + 2 −× × × 300 112 2 300 112 cos140 OR 2 + 2 − × × ×
M1 for 300 112 2 300 112 cos140
A1 for 154 022[…]
15(b)[3]
10.6 or 10.7 or 10.55 to 10.69 [3]
M2 for 112sin140 their (a) oe 2 + 2 − 2 300 ( their (a) ) 112 = or cos[ DBC ] × × 2 300 their (a) 112 their (a) oe
or M1 for DBC = sin sin140 or 2 = 2 + 2 − × × × 112 300 ( their (a) ) 2 300 their (a) cos DBC oe
15(c)[4]
279 or 278.9… [4]
M3 for ) ÷ 1 (35 900 – 1 112 300 sin140 2 × × × × 180 oe 2 OR
M1 for 1 112 300 sin140 2 × × × oe
M1 for recognition that the shortest distance from D is perpendicular to AB
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