Mathematics · May / June 2024 · Paper 41 · Question 7
0580
As printed in the paper
Show the answer and mark scheme
7(a)(i)[3]
10 100 [3]
× + × × + × × 3
M2 for 30 70 2 30 40 2 40 70
or M1 for 30 × 40 or 30 × 70 or 40 × 70
7(a)(ii)[3]
16 [3]
M2 for 2 fit width, 2 fit height and 4 fit length soi
or M1 for 70, 30 or 40 ÷ 15 or 20
7(b)(i)[4]
1 π 2 × r 3 r = their (750 ÷ 8.9 ) oe 3 ( ) their 750 8.9 ÷ M1dep r3 = oe π r = 2.993… [4]
M2 M1 for using 750 and 8.9 correctly in v = m d oe or 750 ÷ 8.9 / A1
7(b)(ii)[5]
117 or 116.9 to 117.2 [5]
M4 for π π × 2.99 2 + × 2.99 × 2.99 2 + (3 2.99) × 2 oe π × × 2 + × 2
or M3 for 2.99 2.99 (3 2.99) + ×
or M2 for 2.99 2 (3 2.99) 2
or M1 for 2.992 + (3 × 2.99)2 π × or for 2.99 2
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