Foundation November 2017 Paper 1 Q14
14 Here are two fractions.
\[\frac{7}{5} \qquad\qquad \frac{5}{7}\]Work out which of the fractions is closer to 1
You must show all your working. (3)
| Answer | Mark | Notes |
|---|---|---|
| \(\dfrac{5}{7}\) supported | P1 | for \(\dfrac{7}{5} = 1.4\) or \(\dfrac{5}{7} = 0.7..\) or compares \(\dfrac{1}{7}\) to \(\dfrac{1}{5}\) or compare \(\dfrac{5}{7}\) to 1 eg \(1 - \dfrac{5}{7}\ \left(= \dfrac{2}{7}\right)\) or compare \(\dfrac{7}{5}\) to 1 eg \(\dfrac{7}{5} = 1\dfrac{2}{5}\) or eg \(\dfrac{49}{35}\) or \(\dfrac{14}{35}\) or \(\dfrac{25}{35}\) oe |
| P1 | for \(\dfrac{7}{5} = 1.4\) and \(\dfrac{5}{7} = 0.7..\) or compares \(\dfrac{5}{7}\) to 1 eg \(1 - \dfrac{5}{7}\ \left(= \dfrac{2}{7}\right)\) and \(\dfrac{7}{5}\) to 1 eg \(\dfrac{7}{5} = 1\dfrac{2}{5}\) or two correct fractions with common denominator eg \(\dfrac{49}{35}\) and \(\dfrac{25}{35}\) | |
| C1 | for \(\dfrac{5}{7}\) with supporting evidence |