Foundation January 2023 Paper 2R Q7
7 In a field, there are 60 sheep and 24 cows.
(a) Find the ratio of the number of sheep to the number of cows.
Give your ratio in its simplest form. (2)
Give your ratio in its simplest form. (2)
In a barn, there are only white ducks and brown ducks.
In the barn, the ratio
number of white ducks : number of brown ducks = 3 : 7
(b) What fraction of the ducks in the barn are white? (1)
Giles and Sarah share some bales of hay in the ratio 11 : 4
Sarah receives 20 bales of hay.
(c) Work out how many bales of hay are shared in total. (3)
| Scheme | Marks |
|---|---|
| eg 60 : 24 | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: 5 : 2 | A1 |
| (2) |
Notes
M1: for any ratio equivalent to 60 : 24 or for an answer of 2 : 5
| Scheme | Marks |
|---|---|
| \(\dfrac{3}{10}\) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
eg 20 ÷ 4 (= 5) or 20 ÷ 4 × 11 (= 55) or \(\dfrac{x}{11} = \dfrac{20}{4}\) or \(\dfrac{x}{20} = \dfrac{11}{4}\) | M1 |
| eg 11 × “5” + 20 or (11 + 4) × “5” | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: 75 | A1 |
| (3) | |
| (6 marks) |
Notes
M1: for a correct first step
M1: for a complete method
M2 for \(\dfrac{20}{4} \times 15\)