Mathematics · May / June 2026 · Paper 42 · Question 16
0580
As printed in the paper
The question as text
NOT TO SCALE Ð C Ģ A ģ Ĥ 16.5 cm 28 cm AÐCĢģ is a square-based pyramid. ģC and ÐĢ intersect at Ĥ. AĤ is perpendicular to the base ÐCĢģ. . cm ÈC 16 5 ¦ and cm AĦ 28 ¦ .
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16(a)[1]
4 [1]
16(b)[2]
2541 cao [2]
Do not accept e.g. 2540.7… = 2541 for 2 marks. 2
M1 for 1 3 × 16.52 × 28 oe Answer 2540 implies M1
16(c)[4]
30.3 or 30.33… [4]
Mark at most accurate. 2 2 16.5 16.5 +
M3 for 282 + oe 2 2 2 2 16.5 16.5
or M2 for [BF2 = ] + oe For M2 do not accept if method or value for BF 2 2 is associated with the wrong side. or [BF2 =] 16.52 ÷ 2 oe Accept e.g. x, FC for BF (but not an incorrect 2 + 2 16.5 16.5 side). or [BF = ] BF2 = 136.125 2 BF BF BF = 33 2 16.5 = 16.5 = = 11.7 or 11.66 to 11.67 or sin 45 or cos45 or better 4
or M1 for BD2 =16.52 + 16.52 oe For M1 it must be clearly BD, may be indicated on diagram if used in this part. BD2 = 544.5 BD = 33 2 = 23.3 or 23.33… 2
16(d)[2]
67.28 to 67.53… [2]
M1 for Mark at most accurate. 28 = their sin(...) oe 28 (c) tan(...) = their BF or M1 accept e.g. = their BF cos(...) their (c) their BF ≠ 28 or 16.5 or 8.25 or 23.3[3…]
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