Higher January 2022 Paper 1 Q1
1
(a) Simplify \(a^7 \times a^4\) (1)
(b) Simplify \(w^{15} \div w^3\) (1)
(c) Simplify \((8x^5y^3)^2\) (2)
(d) Make \(t\) the subject of \(c = t^3 - 8v\) (2)
| Scheme | Marks |
|---|---|
| \(a^{11}\) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| \(w^{12}\) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| \(64x^{10}y^6\) | B2 |
| (2) |
Notes
B2: if not B2 then award B1 for 2 correct parts as part of a product eg \(kx^{10}y^6\) where \(k \ne 64\)
or \(64x^ky^6\) where \(k \ne 10\)
or \(64x^{10}y^k\) where \(k \ne 6\)
| Scheme | Marks |
|---|---|
| \(c + 8v = t^3\) | M1 |
| \(t = \sqrt[3]{c + 8v}\) | A1 |
| (2) | |
| (6 marks) |
Notes
A1: oe
SCB1 for an answer of \(t = \dfrac{c + 8v}{3}\) oe