Mathematics · Oct / Nov 2024 · Paper 41 · Question 4
0580
As printed in the paper
Show the answer and mark scheme
4(a)(i)[2]
22.5 [2]
M1 for 11.25 [ ] 20 × 100 oe + + 11.25 18.75
4(a)(ii)[2]
9 : 15 : 16 [2]
M1 for 1125 : 1850 : 2000 or better
4(a)(iii)[7]
5 9 or 0.556 or 0.5555 to 0.5556 [3]
×
M2 for 20 25 oe × 15[ 60]
or M1 for 20 × 25 or for their distance ÷ (15 [× 60]) oe 2 h 40 mins [4]
Approach 1
B3 for 8 [h]oe or 160 [mins] or 9600[s] 3
Or M3 for 5000 ÷ (18.75 × 25 × 4)[h] oe or 5000 ÷ (18.75 × 25 ÷ 15)[mins] oe or 5000 ÷ ((18.75 × 25 × 4) ÷ (60 × 60))[secs] oe
Or M2 for (18.75 × 25 × 4)[m/h] oe or (18.75 × 25 ÷ 15)[m/min] oe or (18.75 × 25 × 4) ÷ (60 × 60))[m/sec] oe
Or B1 for 200 or 1 km =1000m soi After 0 scored
SC1 for time Figs 267 or figs 2666 to 2667 or figs 16 or figs 96 Approach 2
B3 for 160 [mins]
Or M3 for 15 × 5000 ÷ (18.75 × 25) [mins] oe
Or M2 for 5000 ÷ (18.75 × 25) oe
Or B1 for 200 or 1 km =1000m soi After 0 scored
SC1 for time figs 16
4(a)(iv)[3]
17.1 or 17.14 to 17.15 [3]
− 3 100 5
M2 for 20 × oe 100 k
or M1 for 20 × 100 − 5 where k is 2, or 100 4 − 3 100 5 or for 20 × oe seen and spoiled 100
4(b)[3]
2500 [3]
−
M2 for 425to450 or 450 12.5 or + 10 0.5 10 to 11 − 425 to 450 or 450 12.5 630 600 660 to
or M1 for 10.5 or 9.5 or 437.5 or 462.5 or 630[s] or 570[s]
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