Higher November 2018 Paper 1 Q20
20.
(a) Write \(\dfrac{5}{12}\) as a recurring decimal. [1]
(b)
(i) Write \(1{\cdot}\dot{2}\dot{7}\) as an improper fraction. [2]
(ii) Hence calculate \((1{\cdot}\dot{2}\dot{7})^2\), giving your answer as a mixed number in its simplest form. [2]
| Scheme | Marks | Comments |
|---|---|---|
| \(0.41\dot{6}\) | B1 |
| Scheme | Marks | Comments |
|---|---|---|
| (i) \(100x = 127.\dot{2}\dot{7}\) and \(x = 1.\dot{2}\dot{7}\) and attempt to subtract | M1 | or equivalent |
| \(\dfrac{126}{99}\) or equivalent | A1 | Allow \(1\dfrac{27}{99}\) |
| (ii) \(\dfrac{14}{11} \times \dfrac{14}{11}\) with an attempt to multiply | M1 | or equivalent e.g. \(\dfrac{126}{99} \times \dfrac{126}{99}\); FT ‘their derived \(\dfrac{126}{99}\)’ |
| \(1\dfrac{75}{121}\) | A1 | CAO |
| (5) |