Foundation November 2024 Paper 2 Q20
20 \(N\) is a number.
17% of \(N\) is 357
(a) Work out the value of \(N\) (2)
In 2019, the population of a village was 650
In 2020, the population of the village was 806
(b) Work out the percentage increase in the population. (3)
| Scheme | Marks |
|---|---|
357 ÷ 0.17 oe or \(0.17N = 357\) or \(\dfrac{17}{100} \times N = 357\) oe or \(\dfrac{357 \times 100}{17}\) oe eg 357 × 5.8(82…) | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: 2100 | A1 |
| (2) |
Notes
M1: a correct calculation for \(N\) or a correct equation in \(N\)
(not 17% × \(N\) = 357)
A1: cao
| Scheme | Marks |
|---|---|
806 – 650 (= 156) or \(\dfrac{806}{650}\) (=1.24) oe | M1 |
\(\dfrac{806 - 650}{650}(\times 100)\;(= 0.24(\times 100))\) or “1.24” ×100 (= 124) or (1.24 – 1) × 100 | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: 24 | A1 |
| (3) | |
| (5 marks) |
Notes
M1: a correct calculation for the percentage increase or seeing 124 or 0.24 as either the answer or in part of the working.
A1: cao
(SCB1 if no marks scored for an answer of 19.3 – 19.4)