Higher November 2019 Unit 1 Q14
14.
(a) Express \(0{\cdot}4\dot{7}\dot{5}\) as a fraction. [2]
(b) Circle the correct answer for the following statement.
\(16^{-\frac{3}{4}}\) is equal to [1]
\(16^{-\frac{3}{4}}\) is equal to [1]
\(-12\) \(\dfrac{1}{8}\) \(-8\) \(\dfrac{1}{12}\) \(-16{\cdot}75\)
| Scheme | Marks | Comments |
|---|---|---|
| \(x = 0{\cdot}4757575.....100x = 47{\cdot}5757575.....\) with an attempt to subtract | M1 | Or correct values \(1000x\) and \(10x\), or equivalent. M0 for use of \(x = 0{\cdot}475475475.....\) |
| 471/990 or 157/330 ISW | A1 | An answer of 47·1/99 gains M1 only. |
Alternative method
| Scheme | Marks | Comments |
|---|---|---|
| (0·4 + 0·07575....=) 4/10 + 75/990 or equivalent | M1 | |
| 471/990 or equivalent ISW | A1 |
| Scheme | Marks | Comments |
|---|---|---|
| \(\dfrac{1}{8}\) | B1 |