Foundation January 2022 Paper 1 Q9
9
(a) Write \(\dfrac{39}{150}\) as a percentage. (1)
There are 30 dogs staying in some boarding kennels.
12 of the dogs are brown.
(b) What fraction of the dogs in the boarding kennels are not brown?
Give your fraction in its simplest form. (2)
Give your fraction in its simplest form. (2)
(c) Show that \(\quad \dfrac{4}{9} + \dfrac{1}{6} = \dfrac{11}{18}\) (2)
| Scheme | Marks |
|---|---|
| 26 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| eg \(\dfrac{30 - 12}{30}\left(= \dfrac{18}{30} \text{ oe}\right)\) | M1 |
| \(\dfrac{3}{5}\) | A1 |
| (2) |
Notes
M1: for \(\dfrac{18}{30}\) or other correct but unsimplified fraction
or an answer of \(\dfrac{2}{5}\)
| Scheme | Marks |
|---|---|
| eg \(\dfrac{8}{18} + \dfrac{3}{18}\) or \(\dfrac{24}{54} + \dfrac{9}{54}\) oe | M1 |
Working required eg \(\dfrac{8}{18} + \dfrac{3}{18} = \dfrac{11}{18}\) or \(\dfrac{24}{54} + \dfrac{9}{54} = \dfrac{33}{54} = \dfrac{11}{18}\) oe | A1 |
| (2) | |
| (5 marks) |
Notes
M1: for two fractions with a correct common denominator with at least one numerator correct
A1: dep on M1, for a complete correct method leading to \(\dfrac{11}{18}\)