Foundation June 2021 Paper 1 Q19
19 On a farm there are chickens, ducks and pigs.
The ratio of the number of chickens to the number of ducks is 7 : 2
The ratio of the number of ducks to the number of pigs is 5 : 9
There are 36 pigs on the farm.
Work out the number of chickens on the farm.
(3)
| Scheme | Marks |
|---|---|
| eg (36 ÷ 9) × 5 or 20 [ducks] or 20 : 36 or for writing the 3 parts of the ratio correctly eg 35 : 10 : 18 oe | M1 |
“20” ÷ 2 = 10 and 10 × 7 oe or \(\dfrac{36}{18} \times 35\) oe | M1 |
| Working not required, so correct answer scores full marks (unless from obvious incorrect working) Answer: 70 | A1 |
| (3) | |
| (3 marks) |
Notes
M1: for a fully correct calculation for the number of ducks or stating 20 ducks – may be shown in a ratio – does not need to be labelled if it is clear that the number or calculation refers to the number of ducks
M1: for a correct calculation to find the number of chickens.
(award the M2 for 70 : 20 : 36 or a different order if intention is clear eg by labels)