4MA0 Higher January 2015 Paper 3R Q9
9 Show that \(7\dfrac{1}{2} - 4\dfrac{2}{3} = 2\dfrac{5}{6}\)
(3)
| Scheme | Marks |
|---|---|
| \(\dfrac{15}{2} - \dfrac{14}{3} = \dfrac{45a}{6a} - \dfrac{28a}{6a}\) | M1 |
| M1 | |
| shown | A1 |
| (3 marks) |
Notes
M1: Correct improper fractions
M1: Correct fractions with a common denominator a multiple of 6
A1: dep on M2 Improper fraction required eg \(\dfrac{17}{6}\), \(\dfrac{34}{12}\)
Alt method
| Scheme | Marks |
|---|---|
| M1 | |
| M1 | |
| A1 |
Notes
M1: \((7)\dfrac{3}{6} - (4)\dfrac{4}{6}\) (ie can ignore integer parts)
M1: \(-\dfrac{1}{6}\)
A1: Improper fraction required eg \(\dfrac{17}{6}\), \(\dfrac{34}{12}\) or \(3 - \dfrac{1}{6}\)
Answer dep on M2
Alt method
| Scheme | Marks |
|---|---|
| M1 | |
| M1 | |
| A1 |
Notes
M1: \(7\dfrac{3}{6} - 4\dfrac{4}{6}\)
M1: \(6\dfrac{9}{6} - 4\dfrac{4}{6}\)
A1: \(2\dfrac{5}{6}\) required before final answer
Answer dep on M2
NB: Follow one strand that gives most marks