4MA0 Higher June 2011 Paper 4 Q5
5
(a) Simplify
(i) \(a \times a \times a \times a\),
(ii) \(5a \times 6b\),
(iii) \(q^8 \div q^2\).
(3)(b) Solve \(5 - 2y = 12\) (2)
(c) \(v = w^2 - 2w\).
Work out the value of \(v\) when \(w = 6\) (2)
Work out the value of \(v\) when \(w = 6\) (2)
| Scheme | Marks |
|---|---|
| (i) \(a^4\) | B1 |
| (ii) \(30ab\) | B1 |
| (iii) \(q^6\) | B1 |
| (3) |
Notes
B1: not a4 accept upper case A
B1: accept ab30, 30ba, a30b, b30a (no × signs allowed)
accept upper case A and/or B
B1: accept upper case Q
Apart from questions 5b, 8, 15d, 20b, 21b, 23, 24b (where the mark scheme states otherwise) the correct answer, unless clearly obtained by an incorrect method, should be taken to imply correct working.
| Scheme | Marks |
|---|---|
| \(5 - 12 = 2y\) oe | M1 |
| − 3.5 oe | A1 |
| (2) |
Notes
M1: or 5 − 12 ÷ 2 or 12 − 5 ÷ −2
A1: ans dependent on M1 (above numerical methods acceptable)
| Scheme | Marks |
|---|---|
| \(6^2 - 2 \times 6\) oe | M1 |
| 24 | A1 |
| (2) | |
| (Total 7 marks) |
Notes
M1: accept 36 − 12