Mathematics · Oct / Nov 2021 · Paper 42 · Question 7

π or 51 16 π final answer 3 3 [2]

M1 for 1 4 × 3 π × 2 3 oe 2

2.4[0] [4]

B3 for answer in range 2.396… to 2.40… OR

M3 for their 16 π + π × 22 × 5.2 + 3 π oe 1 × = 88 π × 2 2 h 3 3

or M2 for 88 π – their 16 π – π × 22 × 5.2 3 3 oe

or M1 for π × 22 × 5.2 oe 1 π × 2 × oe soi or 2 h 3

1 hour 38 min or 1 hour 37.8 min to 1 hour 37.9… min [3]

B2 for 1.63[2…] or 98 [mins] or 97.8 to 97.9… ] π × 88 620 3

or M1 for [× 60] oe 35000

8.5[0] or 8.496 to 8.497 [4]

M3 for [r= ] 65 oe 140 1 sin140 π − 360 2

or M2 for 140 360 π × r2 – 1 2 r2 × sin140 [=65] oe

or M1 for either area expression seen