Higher November 2022 Paper 4 Q8
8 A bag contains 35 balls.
Each ball is either red or green.
The ratio of red balls to green balls is 3 : 2.
Work out the smallest number of balls of each colour that have to be added to the bag so that the ratio of red balls to green balls becomes 7 : 3.
You must show your working.
Number of red balls added to the bag = ……………
Number of green balls added to the bag = …………… [5]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 14 1 with correct working | 5 | B2 for 21 and 14 or M1 for \(\frac{35}{3 + 2}\) oe AND B2 for 35 and 15 OR B1 for 42 with 18 or 21 with 4 or 49 with 21 or 28 with 7 etc If 0, 1 or 2 scored, instead award SC3 for answer 14 and 1 with no or insufficient working If 0 or 1 scored, instead award SC2 for answer red = 14 or for answer [red=] 1 and [green=] 14 with no or insufficient working | “Correct working” requires evidence of at least the first B2 |