O-LevelMathematicsNumber4024/22 · May/June 2016 · Q16 Marks
Each year the Reds play the Blues in a baseball match.
- (a)In 2014, there were 40 500 tickets sold for the match. In 2015, the number of tickets sold was 2.4% more than in 2014. Calculate the number of tickets sold for the match in 2015.[1]
- (b)In 2015, the cost per ticket for the match was $68.25. The cost per ticket for the match increased by 5% from 2014 to 2015. Calculate the cost per ticket for the match in 2014.[2]
- (c)Calculate the percentage increase, from 2014 to 2015, in the total money taken for the match.[3]
Mark scheme
Marking points from the official mark scheme (May/June 2016). The mark or mark type is shown in brackets.
- [1] (a) 41 472 or 41 470 or 41 500 cao
- [2] (b) $65 (not from 64.84 rounded )
- [2] (b) M1 for 1.05x = 68.25 soi
- [3] (c) 7.50 – 7.60
- [3] (c) [M2 for 1.05 × 1.024 oe]
- [3] (c) or M1 for 40500 × their 65 [=2632500]
- [3] (c) and M1 their 41 472 × 68.25[= 2830464]
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