Foundation June 2022 Paper 2 Q9
9
(a) Ali revises each day for five days.
On each of the first four days he revises from 5 pm to 8 pm
On the fifth day he starts revising at 1 pm
He finishes when he has revised for a total of 18 hours for the five days.
What time does he finish on the fifth day? [3 marks]
(b) Sofia is revising for Maths.
She tries to work out \(3 \times (4 + 2)\)
Here is her working.
| \(\begin{aligned} 3 \times (4 + 2) &= 12 + 3 \\ &= 15 \end{aligned}\) |
What mistake has she made? [1 mark]
| Answer | Mark | Comments |
|---|---|---|
| \((8 - 5) \times 4\) or \(3 \times 4\) or 12 | M1 | oe may be implied |
| 18 \(-\) their 12 or 6 | M1 | oe \(8 \leqslant\) their \(12 \leqslant 16\) may be implied by their correct ft answer |
| 7 (pm) | A1ft | allow 7.00 (pm) or 19.00 (pm) ft 1 (pm) + their 6 with M0M1 awarded |
Additional guidance
| Allow dot, colon, comma, space or no space in time notation | |
| \(18 - 12 = 6\), Answer 6 (pm) | M1M1A0 |
| \(4 \times 4 = 16\), \(18 - 16 = 2\), Answer 3 (pm) | M0M1A1ft |
| \(3 \times 5 = 15\), \(18 - 15 = 3\), Answer 4 (pm) | M0M1A1ft |
| \((5 - 8) \times 4 = 12\) (reverse subtraction recovered and could go on to score up to M1M1A1ft) | |
| \((5 - 8) \times 4 = 8\) (reverse subtraction not recovered but could go on to score up to M0M1A1ft) |
| Answer | Mark | Comments |
|---|---|---|
| Valid explanation or correct calculation | B1 | eg she hasn’t multiplied 2 by 3 or \(3 \times 2 = 6\) or answer is 18 |
Additional guidance
| A correct calculation may be seen by Sofia’s work | |
| It should be \(3 \times 6\) | B1 |
| It should be 18 | B1 |
| \(3 \times 6 = 18\) | B1 |
| 3 should be 6 | B1 |
| Needs to multiply everything in the brackets (by 3) | B1 |
| She should have done the brackets first | B1 |
| She should have added 4 and 2 first | B1 |
| She did \(3 \times 4\) but not \(3 \times 2\) | B1 |
| She didn’t use BIDMAS and work out the brackets first | B1 |
| Accept highlighting the second 3 as the error (with no subsequent incorrect calculation seen) eg It shouldn’t be \(+\) 3 | B1 |
| A correct calculation or answer 18 with any or no explanation | B1 |
| A correct explanation alongside an incorrect calculation | B0 |
| She didn’t use BODMAS / BIDMAS | B0 |
| She didn’t expand / multiply out the brackets correctly | B0 |
| 3 should be 2 | B0 |
| It should be 14 | B0 |
| The brackets are in the wrong place | B0 |