4MA0 Foundation June 2013 Paper 2 Q10
10
(a) Simplify
(i) \(t + t + t\)
(ii) \(b \times 5 \times a\)
(2)(b) Solve
(i) \(8x - 3 = 9\)
(ii) \(7y - 6 = 2y + 8\)
Show clear algebraic working.
(5)Show clear algebraic working.
(c) Expand and simplify
\((x - 6)(x + 9)\) (2)
\((x - 6)(x + 9)\) (2)
| Scheme | Marks |
|---|---|
| (i) \(3t\) | B1 |
| (ii) \(5ab\) | B1 |
| (2) |
Notes
B1: accept \(t3\)
B1: any combination but do NOT accept multiplication signs
| Scheme | Marks |
|---|---|
| (i) \(8x = 9 + 3\) | M1 |
| 1.5 oe | A1 |
| (ii) \(5y = 14\) or \(7y - 2y = 14\) or \(5y = 8 + 6\) or \(5y - 14 = 0\) | M2 |
| 2.8 | A1 |
| (5) |
Notes
M1: or \(9 + 3 \div 8\) with or without brackets
M2: for correct rearrangement with \(y\) terms on one side and numbers on the other AND correct collection of terms on at least one side or for correct collection of to 2 terms
M1 for correct rearrangement with \(y\) terms on one side and numbers on the other eg \(7y - 2y = 8 + 6\) or correct collection and simplification of either numbers or \(y\) terms eg. \(5y - 6 = 8\) or \(5y = a\) or \(by = 14\)
A1: 2.8 oe dependent on at least one M1
| Scheme | Marks |
|---|---|
| \(x^2 - 6x + 9x - 54\) | M1 |
| \(x^2 + 3x - 54\) | A1 |
| (2) |
Notes
M1: 4 correct terms ignoring signs or for 3 correct terms out of 4 terms with signs