Higher November 2021 Paper 1 Q14
14.
(a) Estimate the value of \(\sqrt[5]{33}\). [1]
(b) Find the value of \(\left(\dfrac{5}{4}\right)^{-2}\), giving your answer as a decimal. [3]
(c) Find the value of \(49^{\frac{3}{2}}\). [2]
(d) Write \(0{\cdot}0\dot{8}\dot{3}\) as a fraction. [2]
| Scheme | Marks | Comments |
|---|---|---|
| Answer in range 2 to 2.2 inclusive | B1 |
| Scheme | Marks | Comments |
|---|---|---|
| 0.64 | B3 | B2 for \(\dfrac{16}{25}\) or equivalent fraction or B1 for \(\left(\dfrac{4}{5}\right)^2\) or \(\left(\dfrac{25}{16}\right)^{-1}\) oe |
| Scheme | Marks | Comments |
|---|---|---|
| 343 | B2 | B1 for sight of \(7^3\) or \(7 \times 7 \times 7\) or \(\left(\sqrt{49}\right)^3\) or \(\sqrt{49^3}\) |
| Scheme | Marks | Comments |
|---|---|---|
| \(1000x = 83.\dot{8}\dot{3}\) and \(10x = 0.\dot{8}\dot{3}\) or \(100x = 8.3\dot{8}\dot{3}\) and \(x = 0.0\dot{8}\dot{3}\) and attempt to subtract | M1 | or equivalent |
| \(\dfrac{83}{990}\) | A1 | ISW |
| (8) |