4MA0 Foundation June 2016 Paper 2R Q14
14 Here are four numbers.
\(\dfrac{5}{8} \qquad 58\% \qquad 0.6 \qquad \dfrac{31}{50}\)
(a) Write these numbers in order of size.
Start with the smallest number. (2)
Start with the smallest number. (2)
At a school, \(\dfrac{5}{8}\) of the teachers are male.
There are 72 teachers at the school.
(b) Work out how many female teachers there are at the school. (3)
| Scheme | Marks |
|---|---|
0.625, 0.58, 0.6(0), 0.62 Answer: 58%, 0.6, \(\dfrac{31}{50}\), \(\dfrac{5}{8}\) | B2 |
| (2) |
Notes
B2: For all in correct order
Award B1 for 3 in correct order or all correct in reverse order or for \(\dfrac{5}{8} = 0.625\) or 62.5% and \(\dfrac{31}{50} = 0.62\) or 62%
| Scheme | Marks |
|---|---|
| \(\dfrac{5}{8} \times 72 = 45\) or \(1 - \dfrac{5}{8} = \dfrac{3}{8}\) | M1 |
| 72 − ‘45’ or \(\dfrac{3}{8} \times 72\) | M1 |
| 27 | A1 |
| (3) |
Notes
M1: Finding 5/8 of 72 (=45) or showing 3/8 female
M1: Total minus male or finding 3/8 of 72
A1: cao