Calculate the distance that Michael travels.

Calculate how long Michael takes in seconds.

Unit penalty (UP) may apply in this question.

${\text{Distance}} = \pi  \times 500 + 2 \times 750$     (M1)

(UP)     $= 3070{\text{ m}}$     (A1)     (C2)

[2 marks]

Unit penalty (UP) may apply in this question.

${\text{140 km}}{{\text{h}}^{ - 1}} = \frac{{140 \times 1000}}{{60 \times 60}}{\text{ m}}{{\text{s}}^{ - 1}}$     (M1)

$= 38.9{\text{ m}}{{\text{s}}^{ - 1}}$     (A1)

${\text{Time}} = \frac{{3070}}{{38.889}}$     (M1)

(UP)     $= 78.9{\text{ seconds}}$ (accept $79.0$ seconds)     (A1)(ft)     (C4)

[4 marks]

Candidates generally answered part (a) well. A usual mistake was taking $500$ as the radius. Some candidates worked out the area rather than the circumference. A good number of candidates correctly answered part (b). Others seemed to get lost in the conversion with multiplication by $3600$ and not multiplying by $1000$ being common errors. Again follow through marks could be awarded from the candidate’s answer to part (a) provided working was shown.

Candidates generally answered part (a) well. A usual mistake was taking $500$ as the radius. Some candidates worked out the area rather than the circumference. A good number of candidates correctly answered part (b). Others seemed to get lost in the conversion with multiplication by $3600$ and not multiplying by $1000$ being common errors. Again follow through marks could be awarded from the candidate’s answer to part (a) provided working was shown.