Foundation June 2023 Paper 1 Q11
11 A total of 700 tickets were on sale for a football match.
452 of the tickets were sold.
(a) How many tickets were not sold? (2)
For a different football match,
297 tickets were sold for £9.50 each.
399 tickets were sold for £19.50 each.
(b) Work out an estimate for the total amount of money paid for these tickets.
You must show all your working. (3)
You must show all your working. (3)
(c) Is your answer to part (b) an underestimate or an overestimate?
Give a reason for your answer. (1)
Give a reason for your answer. (1)
| Answer | Mark | Mark scheme |
|---|---|---|
| 248 | P1 | for \(700 - 452\) |
| A1 | cao |
| Answer | Mark | Mark scheme |
|---|---|---|
| 11000 | P1 | for evidence of rounding values to 1 significant figure, eg 300 or 400 or 10 or 9 or 20 |
| P1 | (dep on P1) for beginning a process to work with ticket sales, eg. \(300 \times 10\ (= 3000)\) or \(290 \times 10\ (= 2900)\) or \(297 \times 10\ (= 2970)\) or \(300 \times 9\ (= 2700)\) or \(300 \times 9.5\ (= 2850)\) or \(290 \times 9\ (= 2610)\) or \(297 \times 9\ (= 2673)\) OR \(400 \times 20\ (= 8000)\) or \(390 \times 20\ (= 7800)\) or \(399 \times 20\ (= 7980)\) or \(400 \times 19.5\ (= 7800)\) or \(400 \times 19\ (= 7600)\) | |
| A1 | for using correct values giving an answer in the range 10 200 to 11 000 from calculations using their rounded values |
Additional guidance
Note: not \(290 \times 9.5\ (= 2755)\)
or \(297 \times 9.5\ (= 2821.5)\)
Note: not \(390 \times 19\ (= 7410)\)
or \(390 \times 19.5\ (= 7605)\)
or \(399 \times 19\ (= 7581)\)
or \(399 \times 19.5\ (= 7780.5)\)
Award 0 marks for an answer in the range with no supportive working
| Answer | Mark | Mark scheme |
|---|---|---|
| Overestimate with reason | C1 | (dep on P2 in (b)) for overestimate and reason, eg (ft from (b)) true total amount of money paid will be less as all values were rounded up |
Additional guidance
Must relate to estimation and not to rounding of their final answer
and they must have a final answer to part (b)