Foundation June 2023 Paper 1 Q17
17 There are 200 counters in a bag.
38 counters are red.
52 counters are blue.
The rest of the counters are yellow or green.
There are the same number of yellow counters as green counters.
What percentage of the counters in the bag are yellow? (4)
| Answer | Mark | Mark scheme |
|---|---|---|
| 27.5 | P1 | for process to find number of yellow and green counters, eg \(200 - 38 - 52\ (= 110)\) OR for process to express red and blue counters as a percentage of 200, eg \(\dfrac{38 + 52}{200} \times 100\) oe \((= 45)\) |
| P1 | for process to find number of yellow counters and/or the number of green counters eg \(\text{``}110\text{''} \div 2\ (= 55)\) OR for process to express the sum of the yellow and green counters as a percentage of 200, eg \(\dfrac{\text{``}110\text{''}}{200} \times 100\ (= 55)\) or \(100 - \text{``}45\text{''}\ (= 55)\) | |
| P1 | for a complete process to express the number of yellow counters as a percentage, eg \(\dfrac{\text{``}55\text{''}}{200} \times 100\) or \(\text{``}55\text{''} \div 2\) | |
| A1 | for 27.5 oe |