Foundation June 2019 Paper 2R Q18
18 Show that \(\;5\dfrac{2}{3} - 2\dfrac{3}{4} = 2\dfrac{11}{12}\)
(3)
| Scheme | Marks |
|---|---|
| \(\dfrac{17}{3} (-) \dfrac{11}{4}\) oe or \(5\dfrac{8}{12} (-) 2\dfrac{9}{12}\) | M1 |
| \(\dfrac{68}{12} - \dfrac{33}{12}\) or \(4\dfrac{20}{12} - 2\dfrac{9}{12}\) | M1 |
| \(\dfrac{35}{12} = 2\dfrac{11}{12}\) | A1 |
| (3) | |
| (3 marks) |
Notes
M1: Sight of \(\dfrac{17}{3}\) and \(\dfrac{11}{4}\) or \(5\dfrac{8}{12}\) and \(2\dfrac{9}{12}\)
M1: or \(\dfrac{68n}{12n} - \dfrac{33n}{12n}\)
A1: Dep on M2
Alternative scheme
| Scheme | Marks |
|---|---|
| \(3 (+) \left(\dfrac{2}{3} - \dfrac{3}{4}\right)\) | M1 |
| \(3 (+) \left(\dfrac{8}{12} - \dfrac{9}{12}\right)\) | M1 |
| \(3 - \dfrac{1}{12} = 2\dfrac{11}{12}\) | A1 |
Notes
A1: Dep on M2
Alternative scheme
| Scheme | Marks |
|---|---|
\(4\dfrac{5}{3} - 2\dfrac{3}{4}\) \(2 (+) \left(\dfrac{5}{3} - \dfrac{3}{4}\right)\) | M1 |
| \(2 (+) \left(\dfrac{20}{12} - \dfrac{9}{12}\right)\) | M1 |
| \(= 2\dfrac{11}{12}\) | A1 |
Notes
A1: Dep on M2