4MA0 Foundation June 2013 Paper 1R Q12
12
(a) Write these fractions in order of size.
Start with the smallest fraction.
\[\frac{5}{6} \qquad \frac{4}{5} \qquad \frac{2}{3} \qquad \frac{11}{15}\] (2)
Start with the smallest fraction.
\[\frac{5}{6} \qquad \frac{4}{5} \qquad \frac{2}{3} \qquad \frac{11}{15}\] (2)
(b) Show that \(\dfrac{4}{9} - \dfrac{1}{6} = \dfrac{5}{18}\) (2)
| Scheme | Marks |
|---|---|
| \(\dfrac{2}{3}, \dfrac{11}{15}, \dfrac{4}{5}, \dfrac{5}{6}\) | B2 |
| (2) |
Notes
B2: B1 3 fractions in correct order
or 2 fractions correctly converted to decimals (rounded or truncated)
or 2 fractions expressed as equivalent fractions with denominator of 30
or \(\dfrac{5}{6}, \dfrac{4}{5}, \dfrac{11}{15}, \dfrac{2}{3}\)
| Scheme | Marks |
|---|---|
| \(\dfrac{8}{18} - \dfrac{3}{18}\) or \(\dfrac{8n}{18n} - \dfrac{3n}{18n}\) | M1 |
\(\dfrac{8}{18} - \dfrac{3}{18} = \dfrac{5}{18}\) or \(\dfrac{8n}{18n} - \dfrac{3n}{18n} = \dfrac{5n}{18n}\left(= \dfrac{5}{18}\right)\) | A1 |
| (2) |
Notes
M1: for 2 correct fractions with a common denominator a multiple of 9 & 6
A1: \(\dfrac{5}{18}\) coming from \(\dfrac{8}{18} - \dfrac{3}{18}\) or for final fraction equivalent to \(\dfrac{5}{18}\)