Numeracy Higher November 2017 Unit 1 Q6
6. Daniel has made a pizza to share with some friends.
After he has taken his share, he calculates that he has \(0{\cdot}8\dot{3}\) of the pizza left.
Daniel shares what he has left equally between 3 of his friends.
Calculate the fraction of the whole pizza that each of these 3 friends will have.
Give your answer as a fraction in its lowest terms. [4]
| Scheme | Marks | Comments |
|---|---|---|
| e.g. 10x = 8·333… and 100x = 83·333… and attempt to subtract | M1 | Or equivalent |
| 75/90 or equivalent | A1 | e.g. 825/990 or 5/6. Allow e.g. 7∙5/9 |
| (Fraction of pizza each of the 3 friends receive =) 5/18 (ISW) | A2 | FT ‘their 75/90’ provided M1 awarded A1 for 75/270 or equivalent, e.g. 275/990, 7∙5/27 Alternative method: M1 for 0·2777… (showing that the 7 repeats; from 0·8333÷3) M1 for e.g. 10x=2·777… and 100x=27·777… and attempt to subtract A2 for 5/18 A1 for e.g. 25/90 or 275/990 or 2∙5/9 |