Higher June 2018 Paper 1 Q12
12.
(a) Find the value of each of the following.
(i) \(9^{-\frac{1}{2}}\) [1]
(ii) \(625 \times \dfrac{5^6}{5^9}\) [2]
(b) Simplify \((2ab^3)^4\). [2]
(c) Estimate the value of \(76^{\frac{2}{3}}\). [2]
Estimate …………
| Scheme | Marks | Comments |
|---|---|---|
| (i) \(\dfrac{1}{3}\) | B1 | Accept \(\pm\dfrac{1}{3}\) |
| (ii) 5 | B2 | B1 for \(\dfrac{5^{10}}{5^9}\) or for \(\dfrac{625}{125}\) or \(5^4 \times 5^{-3}\) or equivalent |
| Scheme | Marks | Comments |
|---|---|---|
| \(16a^4b^{12}\) | B2 | B1 for any 2 correct elements of the product e.g. \(2^4a^4b^{12}\) |
| Scheme | Marks | Comments |
|---|---|---|
| Any answer in the range (16 , 20) | B2 | B1 for sight of \(4^3 = 64\) or \(5^3 = 125\) or \(64^{\frac{2}{3}}\) or \(125^{\frac{2}{3}}\) or equivalent or for \(\left(\sqrt{16}\right)^3\) or \(\left(\sqrt{25}\right)^3\) |
| (7) |