Mathematics · Oct / Nov 2023 · Paper 41 · Question 3
0580
As printed in the paper
Show the answer and mark scheme
3(a)(i)[1]
227 900 000 [1]
3(a)(ii)[2]
51 200 or 51 190 or 51 194 [2]
M1 for 35.8 100 × 143 000 After 0 scored
SC1 for answer figs 512 or figs 5119 or figs 51194
3(a)(iii)[1]
2.43 or 2.434… [1]
3(a)(iv)[2]
3000 or 3004 to 3005 [2]
× 9 4.495 10
M1 for [× 100] oe × 1.496 10 8 After 0 scored
SC1 for answer figs 3 or figs 3004…. or figs 3005
3(a)(v)[2]
1.52 or 1.522… [2]
B1 for 1AU = 1.5[0] × 108 or 1.497… × 108 [km] or [ ] = × − 9 × − 9 1km 6.68 10 6.678 or 10 AU OR × × 5.2 2.279[ 10 ] 8
M1 for oe × 8 7.786[ 10 ] After 0 scored
SC1 for answer figs 152 or figs 1522……
3(a)(vi)[2]
4890 or 4885… [2]
39.2
M1 for d × + 1 = 6800 oe 100
3(b)(i)[2]
2.9979 × 105 × 602 × 24 × 365.25 = 9.4606… × 1012 [2]
M1 After
M0 SC1 for 2.9979 × 105 × 31557600 oe A1
3(b)(ii)[2]
2.54 or 2.536 to 2.537 [2]
× 2.4 10 19
M1 for oe 9.461 10 × 12
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