Mathematics · May / June 2025 · Paper 42 · Question 27
0580
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The question as text
0580/42/M/J/25 © UCLES 2025 27 ė C Î A ç NOT TO SCALE The diagram shows a cube. Calculate the angle between the diagonal Aė and the base AÎCç. [4]
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35.3 or 35.26… [4]
M3 for correct numerical trig statement for angle PAC e.g. l or 1 tan = oe 2 + 2 2 l l l or 1 or sin = oe 2 + 2 + 2 3 l l l + l 2 l 2 2 or cos = or oe + + 3 l 2 l 2 l 2 where l is a value
or M2 for a correct Pythagoras statement soi or correct trig statement for diagonal of a face with angle 45 used soi e.g. For side length k, AC shown as k 2
or M1 for recognition of angle PAC
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