Mathematics · Oct / Nov 2022 · Paper 42 · Question 2
0580
As printed in the paper
The question as text
All the lengths in this question are measured in centimetres. x x 9 – x NOT TO SCALE The diagram shows a solid cuboid with a square base.
Read automatically from the paper; the printed page above is exact.
Show the answer and mark scheme
2(a)(i)[1]
28 [1]
2(a)(ii)[4]
Correct curve [4]
B3FT for 9 or 10 correct points or B2FT for 7 or 8 correct points or B1FT for 5 or 6 correct points
2(a)(iii)[2]
2.5 to 2.8 8.2 to 8.5 [2]
B1 for each value
2(b)(i)[2]
2x2 + 4x(9 – x) oe 2x2 + 36x – 4x2 oe Leading to 36x – 2x2 [2]
M1 Accept the sum of individual areas if done in smaller parts A1 With intermediate step shown and brackets removed with no errors or omissions
2(b)(ii)[3]
144 [3]
B1 for x = 6 identified from graph or using calculus
M1 for 36 × their6 – 2 × (their 6)2
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