Foundation June 2025 Paper 3 Q10
10
(a) £4.56 is paid using the smallest possible number of coins.
What is the modal value of the coins used?
You must show your working. [2 marks]
(b) Here is a list of five numbers.
5 9 4 16 8
An extra number is put into the list.
The median of the numbers is now 7
Work out the extra number. [2 marks]
| Answer | Mark | Comments |
|---|---|---|
| Answer £2 and £2, £2, 50p, 5p, 1p | B2 | any order B1 Answer £2 or a set of coins which total £4.56 or correct modal value for their set of coins SC1 Answer 2 and 2, 2, 50, 5, 1 or Answer 2 and 2, 2, 0.50, 0.05, 0.01 |
Additional guidance
| SC1 is for an otherwise correct response with all or some units missing eg Answer 2 and £2, 2, 50p, 5, 1 | SC1 |
| Units must be seen on answer and all coins for B2 | |
| Units must be seen for B1 on answer £2 or on all coins for a set of coins which total £4.56 or on answer and all coins for the correct modal value for their set of coins | |
| Accept £0.50, condone £0.50p | |
| Units of the form 0.50p are incorrect | |
| Use of one or more coins that do not exist is max B1 for Answer £2 | |
| Answer £2 and 2, 2, 50, 5, 1 | B1 |
| 2, 2, 50, 5, 1 without answer £2 | B0 |
| £1, £1, £1, £1, 50p, 5p, 1p | B1 |
| Answer 1 and 1, 1, 1, 1, 50, 5, 1 | B0 |
| Answer | Mark | Comments |
|---|---|---|
| ordered list 4 5 8 9 16 or ordered list with an extra number (extra may be correct or incorrect) or indication of middle numbers as 6 and 8 | M1 | list in ascending or descending order |
| 6 | A1 |
Additional guidance
| M1 may be awarded for correct work with no answer or incorrect answer, even if this is seen amongst multiple attempts | |
| 4 5 7 8 9 16 (ordered list with incorrect extra) | M1 |
| 4 5 8 9 16 1 (ordered list with incorrect extra) | M1 |
| 4 5 6 8 9 16 (ordered list with correct extra) and answer 7 | M1A0 |