Foundation January 2020 Paper 1 Q8
8
(a) Simplify \(\quad 6m - 2k + 5m - k\) (2)
\(P = 2a + 3b\)
(b) Work out the value of \(P\) when \(a = 5\) and \(b = 8\) (2)
\(P = 2a + 3b\)
(c) Work out the value of \(a\) when \(P = 16\) and \(b = 20\) (3)
| Scheme | Marks |
|---|---|
| \(11m - 3k\) | B2 |
| (2) |
Notes
B2: If not B2 then award B1 for either \(11m\) or \(-3k\)
| Scheme | Marks |
|---|---|
| 2 × 5 + 3 × 8 or 10 + 24 | M1 |
| 34 | A1 |
| (2) |
Notes
M1: for substituting the values of \(a\) and \(b\) into \(P\)
| Scheme | Marks |
|---|---|
| \(16 = 2a + 3 \times 20\) or \(16 = 2a + 60\) or \(P - 3b = 2a\) | M1 |
| \(16 - 60 = 2a\) \(-44 = 2a\) oe or or \(16 - 2 \times 30 = 2a\) or \(16 - 60 = 2a\) | M1 |
| −22 | A1 |
| (3) | |
| (7 marks) |
Notes
M1: for substituting the values of \(P\) and \(b\) into the equation or rearranging the equation \(P = 2a + 3b\) for \(2a\) correctly
M1: for rearranging the equation for \(2a\) correctly or substituting the values of \(P\) and \(b\) into the correctly rearranged equation