Foundation January 2019 Paper 2 Q8
8
(a) Write \(\dfrac{19}{5}\) as a mixed number. (1)
There are 84 animals in a field.
10 of the animals are horses.
45 of the animals are sheep.
The rest of the animals are cows.
(b) What fraction of the animals in the field are cows? (2)
(c) Write these fractions in order of size.
Start with the smallest fraction.
Start with the smallest fraction.
\(\dfrac{3}{4} \qquad \dfrac{11}{12} \qquad \dfrac{5}{8} \qquad \dfrac{9}{20}\)
(2)(d) Show that \(\;\dfrac{23}{24} - \dfrac{3}{8} = \dfrac{7}{12}\) (2)
| Scheme | Marks |
|---|---|
| \(3\dfrac{4}{5}\) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| 84 – 10 – 45 (= 29) | M1 |
| \(\dfrac{29}{84}\) | A1 |
| (2) |
Notes
A1: SCB1 for \(\dfrac{55}{84}\)
| Scheme | Marks |
|---|---|
| 0.75, 0.916…, 0.625, 0.45 | M1 |
| \(\dfrac{9}{20}, \dfrac{5}{8}, \dfrac{3}{4}, \dfrac{11}{12}\) | A1 |
| (2) |
Notes
M1: for conversion to common form
A1: SC: if M0 award B1 for any 3 fractions in the correct order or for all fractions in correct reverse order
| Scheme | Marks |
|---|---|
| \(\dfrac{23}{24} - \dfrac{9}{24}\) oe | M1 |
| shown | A1 |
| (2) | |
| (7 marks) |
Notes
M1: for two fractions with a common denominator with at least one numerator correct
A1: for \(\dfrac{14}{24}\) oe and then \(\dfrac{7}{12}\)