Foundation November 2021 Paper 3 Q4
4 A sports team played the same number of matches in 2019 and 2020.
The two pie charts summarise their results.
(a) What fraction of the matches did the team win in 2019? [1]
(b) Did the team’s results improve in 2020?
Explain how you know. [1]
Explain how you know. [1]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(\dfrac{90}{360}\) oe fraction | 1 | Expect \(\dfrac{1}{4}\) but ignore attempts to cancel initially correct fraction but not convert to decimal or percentage Answer 0.25 after \(\dfrac{1}{4}\) seen scores 0 | |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Yes oe and [in 2020] they won more matches (or double the number of matches) than [in 2019] oe or The win fraction went up to ½ oe [from ¼ oe] The win fraction got bigger | 1 | See appendix Must be clear reference to win not “it” Do not allow comparing with unlike (e.g. W and L) only unless clearly indicating that W replaced L as majority” oe ½ or ¼ may be degrees Allow error in 2020 win fraction Must be an implied comparison | |
Appendix
Exemplar responses for Q4b
| Response | Mark | |
|---|---|---|
| Yes They lost fewer matches [in 2020] | 1 | |
| Yes The sector for win is bigger [in 2020] | Implied comparison by “biggER” | 1 |
| Yes Win is a half and it was a quarter oe | Comparison of like with like | 1 |
| Yes the fraction/number/ of wins doubled | 1 | |
| Yes in 2020 they won more than 2019 and lost less | Ignore the last three words | 1 |
| Yes the win rate increased by another ¼ | BOD if “another” missing. Indicates improvement | 1 |
| They improved because they won \(\frac{2}{3}\) when they won \(\frac{1}{3}\) before | BOD means double following \(\frac{1}{3}\) seen in (a) | 1 |
| Yes they have won much more than last at least 170° | Condone the “at least 170°” | 1 |
| Yes In 2019 they lost the most and in 2020 they won the most | Unlike but indicates majority has changed | 1 |
| Yes They got an extra half of wins than in 2019 | BOD “extra half”. Implies improvement | 1 |
| Yes The win section is larger than draw which is ¼, which is what they won before | Implies “Win larger than ¼ and “before” implies 2019 | 1 |
| Yes In 2020 the team won 50% of their matches which is ¼ more than 2019 | BOD the ¼ more. Implies improvement | 1 |
| Yes The pie chart in 2020 shows the team won ½ | No comparison stated | 0 |
| Yes it went from ¼ to ½ | Do not condone “it” for “win” | 0 |
| Yes It’s \(\frac{1}{4}\) [in 2019] and now [in 2020] it’s \(\frac{1}{2}\) | Unclear what “its” refers to. Must be clearly WIN | 0 |
| Yes They won half instead of lost half | No marks as don’t compare like with like (They could still have won half in 2019) | 0 |
| Yes The fraction has gone up to a half | Not clearly about wins | 0 |
| Yes ½ of the matches won and only ¼ lost | No marks as don’t compare like with like | 0 |