4400 Higher June 2004 Paper 4 Q19
19
(a) Expand and simplify \((3p - 2q)(2p + 5q)\) (2)
(b) Simplify \((2x^2y^4)^3\) (2)
(c) Simplify \((a^4b^{-3})^{-2}\) (2)
(d) Simplify \((27p^6)^{\frac{1}{3}}\) (2)
| Scheme | Marks |
|---|---|
| \(6p^2 + 15pq - 4pq - 10q^2\) | M1 |
| \(6p^2 + 11pq - 10q^2\) | A1 |
| (2) |
Notes
M1: for 3 terms correct
A1: cao
| Scheme | Marks |
|---|---|
| \(8x^6y^{12}\) | B2 |
| (2) |
Notes
B2: (B1 for 2 of 3 parts correct)
| Scheme | Marks |
|---|---|
| \(a^{-8}b^6\) | B2 |
| (2) |
Notes
B2: (B1 for one part correct)
Accept \(\dfrac{1}{a^8b^{-6}}\)
| Scheme | Marks |
|---|---|
| \(3p^2\) | B2 |
| (2) | |
| (8 marks) |
Notes
B2: (B1 for one part correct)