Numeracy Higher June 2018 Unit 1 Q8
8. Eirlys works for an accountancy firm.
She receives an annual salary, which is paid in equal instalments.
Eirlys has calculated that, so far this financial year, she has been paid \(0{\cdot}41\dot{6}\) of her annual salary.
(a) Express \(0{\cdot}41\dot{6}\) as a fraction in its lowest terms. [3]
(b) Use your answer from part (a) to find the number of months’ pay Eirlys has received. [1]
| Scheme | Marks | Comments |
|---|---|---|
| e.g. 100x = 41·666… and 1000x = 416·666… and attempt to subtract | M1 | Or equivalent Correct values need to be used in the attempted subtraction |
| (x =) = \(\dfrac{375}{900}\) or \(\dfrac{4125}{9900}\) or \(\dfrac{41625}{99900}\) | A1 | Allow A1 for e.g. 3.75/9 |
| = \(\dfrac{5}{12}\) | A1 | Must be in lowest terms FT ‘their 375/900’ provided of equivalent difficulty Accept unsupported \(\dfrac{5}{12}\) only |
| Scheme | Marks | Comments |
|---|---|---|
| (Number of months’ pay received =) 5 | B1 | FT ‘their derived 5/12’ × 12 truncated or rounded, provided their answer < 12 |