4MA0 Foundation June 2013 Paper 2 Q18
18
(a) Show that \(\dfrac{7}{8} - \dfrac{5}{6} = \dfrac{1}{24}\) (2)
(b) Show that \(\dfrac{5}{8} \div \dfrac{7}{12} = 1\dfrac{1}{14}\) (2)
| Scheme | Marks |
|---|---|
| \(\dfrac{21}{24} - \dfrac{20}{24}\) | B2 |
| (2) |
Notes
B2: B2 for both fractions written correctly with a common denominator, followed, if necessary, by cancelling to \(\dfrac{1}{24}\)
B1 for 1 correct fraction with denominator of a multiple of 24
| Scheme | Marks |
|---|---|
| \(\dfrac{5}{8} \times \dfrac{12}{7}\) or \(\dfrac{15}{24} \div \dfrac{14}{24}\) | M1 |
| \(\dfrac{60}{56}\) | A1 |
| (2) |
Notes
M1: leaving first fraction unchanged, changing ÷ to × and inverting the second fraction or converting each fraction with a common denominator of 24 oe with ÷ sign
A1: \(\dfrac{60}{56}\) from the × or \(\dfrac{15}{14}\) from the ÷