Foundation November 2020 Paper 3 Q8
8
(a) Jo walks every day.
This week she walked an average of 2300 steps a day.
Next week she plans to increase this by 15%.
Work out how many steps she plans to walk in total next week? [4]
(b) Jo buys a pair of walking boots for £63 in a sale.
She saves \(\dfrac{1}{10}\) of the original price of the boots.
Work out how much money Jo saves. [3]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 18 515 | 4 | M3 for \(7 \times 2300 \times 1.15\) oe or M2 for \(2300 \times 1.15\) oe soi 2645 or \(7 \times 2300 \times 0.15\) soi 2415 or M1 for \(2300 \times 0.15\) oe soi 345 or \(7 \times 2300\) soi 16 100 | oe may be \(\div 100\) and \(\times 115\). If non calculator method then must see operations to award M unless implied by correct value. See Appendix |
Appendix
Exemplar responses for 8a
8a Non calculator methods. e.g.
| 2300 ÷ 100 = n n × 115 (or 2300 + n × 15) | 2300 ÷ 100 = n n × 15 | 100% → 2300 1% → 23 ÷ 100 115% → 2645 × 115 | 100% → 2300 1% → 23 15% → 345 115% → 2300 + 345 | 100% → 2300 1% → 25 15% → 375 115% → 2675 |
| n can be incorrect but operations seen so M2 | n can be incorrect but operations seen so M1 | “→” may be “of 2300” or “is” or “=” or missed out Values can be incorrect as operations seen. M2 | “→” may be “of 2300” or “is” or “=” or missed out Values must be correct as no operations seen: M2 If stopping at line 3 or next step incorrect then M1 | “→” may be “of 2300” or “is” or “=” or missed out Values incorrect. As no operations seen: M0 |
If a candidate successfully demonstrates a step in the method the marks are awarded, even if they then misuse the step
However, if the method is embedded in other, wrong steps, so there is no clear step shown from the scheme, the mark is not awarded.
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 7 | 3 | M2 for \(63 \div 9\) OR M1 \(\dfrac{1}{10} : \dfrac{9}{10} = x : 63\) oe soi or B1 for \(\dfrac{9}{10}\) or 0.9 or 9 or 7 seen | Alternative: M2 for \(63 \div [0].9 - 63\) oe or M1 for \(63 \div [0].9\) oe For M1 Accept \(1 : 9 = x : 10\) |