Foundation June 2023 Paper 2 Q22
22 There are 48 counters in a bag.
There are only red counters and blue counters in the bag.
number of red counters : number of blue counters = 1 : 2
Helen has to work out how many red counters are in the bag.
She says,
“There are 24 red counters in the bag because 1 is half of 2 and 24 is half of 48”
Is Helen correct?
You must give a reason for your answer. (1)
| Answer | Mark | Mark scheme |
|---|---|---|
| No with reason | C1 | for No and valid reason, eg compares \(\dfrac{1}{3}\) with \(\dfrac{1}{2}\) or 16 (with 24) Acceptable examples No, \(\dfrac{1}{3}\) are red not \(\dfrac{1}{2}\) There are 16 red counters (not 24) No as she has used the ratio 1:1 (not 1:2) Incorrect as it is 16 : 32 No as she should divide by 3 (as \(1 + 2 = 3\)) No as they would both be 24 so it doesn’t fit in the ratio 1 : 2 No because \(24 + 48 = 72\) Not acceptable examples Yes, … No as the number of red counters would be lower There is 1 red for every 2 blue |