The total money received from ticket sales for one match is $1 183000. Find the number of tickets sold for this match.
- (a)(i)The total money received from ticket sales for one match is $1 183000. Find the number of tickets sold for this match.[1]
- (a)(ii)The cost of one ticket at $67.60 is 4% more than the cost of one ticket last year. Calculate the cost of one ticket last year. $[2]
- (b)The number of seats in the basketball stadium is 20545. The number of seats sold for the first match of the season is 19340. Calculate the percentage of the seats in the stadium that are sold. %[1]
- (c)A team plays 41 matches. For the 41 matches, the mean number of seats sold per match is 16440. The total number of seats sold for the first 21 matches is 329 000. Calculate the mean number of seats sold per match for the last 20 matches.[3]
- (d)(i)The table shows the salaries of three basketball players. Basketball player | Salary ($) ---|--- Stephen | 8.27 × 10⁶ Joe | 4.29 × 10⁶ Tristan | 3.64 × 10⁷ Find the difference between the salaries of Tristan and Stephen. $[1]
- (d)(ii)The total Joe earns is his salary plus a bonus of $x. The total he earns is 102.5% of his salary. Calculate the value of x. x =[2]
Mark scheme
Marking points from the official mark scheme (May/June 2024). The mark or mark type is shown in brackets.
- [1] 17 500
- [2] 65[.00] nfww
- [2] M1 for (100+4)/100 x = 67.60 soi
- [1] 94.1 or 94.13...
- [3] 17 252
- [3] M1 for 16440×41 oe
- [3] M1 for (their 674040-329000)/20 oe
- [1] 28 130 000 or 2.813 × 10⁷ oe
- [1] ISW attempts to convert to or from standard form
- [2] 107 250 or 1.0725 × 10⁵ oe
- [2] ISW attempts to convert to or from standard form
- [2] M1 for (102.5/100) × 4.29 × 10⁶ – 4.29 × 10⁶ oe
- [2] or (4.29×10⁶ + x)/(4.29×10⁶) ×100=102.5 oe
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