Foundation November 2024 Paper 1 Q20
20
(a) Work out \(3\dfrac{1}{2} - 1\dfrac{1}{6}\)
Give your answer as a mixed number. (2)
Give your answer as a mixed number. (2)
(b) Show that \(5\dfrac{1}{4} \div 2\dfrac{1}{3} = 2\dfrac{1}{4}\) (3)
| Answer | Mark | Mark scheme |
|---|---|---|
| \(2\dfrac{1}{3}\) | M1 | for a method to subtract by writing both fractions with a common denominator with at least one correct numerator, eg \(3\dfrac{3}{6} - 1\dfrac{1}{6}\) or \(\dfrac{3}{6} - \dfrac{1}{6}\ \left(= \dfrac{2}{6}\right)\) or \(\dfrac{21}{6} - \dfrac{7}{6}\ \left(= \dfrac{14}{6}\right)\) or \(\dfrac{42}{12} - \dfrac{14}{12}\ \left(= \dfrac{28}{12}\right)\) |
| A1 | for \(2\dfrac{1}{3}\) or an equivalent mixed number |
Additional guidance
Do not ISW incorrect further work from correct equivalent mixed number
| Answer | Mark | Mark scheme |
|---|---|---|
| Shown | M1 | for conversion to improper fractions, eg \(\dfrac{21}{4}\) or \(\dfrac{7}{3}\) or \(\dfrac{9}{4}\) |
| M1 | (dep) for method to divide by a fraction, eg \(\dfrac{21}{4} \times \dfrac{3}{7}\) or \(\dfrac{63}{12} \div \dfrac{28}{12}\) | |
| C1 | for complete work showing each stage as far as \(\dfrac{9}{4}\) or \(2\dfrac{7}{28}\) |
Additional guidance
Must see an intermediate step, eg \(\dfrac{63}{28}\) must be seen and then cancelled or correct cancelling seen before the multiplication