1MA0 Foundation June 2014 Paper 2 Q21
*21 Here are two fractions.
\(\dfrac{2}{3}\) \(\dfrac{7}{8}\)
Which of these fractions has a value closer to \(\dfrac{3}{4}\)?
You must show clearly how you get your answer. (3)
| Answer | Mark | Notes |
|---|---|---|
| \(\dfrac{2}{3}\) | 3 | M1 for attempting to write at least two fractions expressed with a common denominator with at least one of the two fractions correct A1 for three correct fractions with suitable common denominator C1 (dep M1) for correct conclusion from comparison of their three OR M1 for writing at least two of the fractions as decimals ie \(\dfrac{2}{3}\) as 0.66(…) or 66(.6…)%, \(\dfrac{7}{8}\) as 0.87(5) or 87.(5)%, \(\dfrac{3}{4}\) as 0.75 or 75% A1 for three correct decimals or percentages C1 (dep M1) for correct conclusion from comparison of their three OR M1 for finding two fractions of the same number e.g. \(\dfrac{2}{3}\) of 48 or \(\dfrac{7}{8}\) of 48 (may be implied by shading a fraction of a rectangle divided into e.g. 48 parts) A1 for three correct values or three correct diagrams with shading C1 (dep M1) for correct conclusion from comparison of their three OR M1 for attempting to find the difference between \(\dfrac{3}{4}\) and \(\dfrac{2}{3}\) and between \(\dfrac{3}{4}\) and \(\dfrac{7}{8}\) at least one pair of fractions expressed with a suitable common denominator and at least one of the two fractions correct A1 for \(\frac{1}{12}\) and \(\frac{1}{8}\) or 0.08(333...) and 0.12(5) C1 (dep M1) for correct conclusion from comparison of the 2 differences. |