At school sports day, javelin throws are scored by distance band: a throw of at least 30 metres scores 8 points, a throw of at least 20 metres but under 30 ...
Question 1 Report
At school sports day, javelin throws are scored by distance band: a throw of at least 30 metres scores 8 points, a throw of at least 20 metres but under 30 metres scores 5 points, and a shorter throw scores 2 points. A competitor also earns a bonus of 3 points for a new personal best. Adaeze throws 32 metres, a personal best. Bayo throws 24 metres, not a personal best.
- Work out Adaeze's points from her throw distance alone. (1)
- Work out Adaeze's total points, including her bonus. (1)
- Work out Bayo's total points. (1)
- Work out the difference between Adaeze's and Bayo's total points. (2)
- State who scored more points, giving a reason based on your answer to part (d). (1)
Answer Details
This question applies a banded scoring rule based on distance, plus a separate bonus condition, and then compares two competitors' totals.
(a) Adaeze's throw of 32 metres is at least 30 metres, so it scores 8 points from distance alone. [1 mark]
(b) Adding her personal-best bonus of 3 points: \(8 + 3 = 11\) points in total. [1 mark]
(c) Bayo's throw of 24 metres is at least 20 metres but under 30 metres, so it scores 5 points; since it is not a personal best, no bonus is added, giving 5 points in total. [1 mark]
(d) The difference between their totals is \(11 - 5 = 6\) points. [2 marks]
(e) Since the difference is positive in Adaeze's favour, Adaeze scored more points, 6 points more than Bayo. [1 mark]
The distance bands only affect the score from the throw itself; the personal-best bonus is a separate, fixed addition that depends on whether the throw beat a competitor's own previous best, not on how far it landed.
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