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A sports team played the same number of matches in 2019 and 2020 - OCR - GCSE Maths - Question 4 - 2021 - Paper 3
Question 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 2... show full transcript
Worked Solution & Example Answer:A sports team played the same number of matches in 2019 and 2020 - OCR - GCSE Maths - Question 4 - 2021 - Paper 3
Step 1
What fraction of the matches did the team win in 2019?
Answer
To determine the fraction of matches won in 2019, we first look at the pie chart. Since the pie chart shows three sections for wins, draws, and losses, we can assign the following values based on the pie chart:
- Wins: 1 section
- Draws: 1 section
- Losses: 1 section
Assuming the pie chart equally divides the matches played into three segments, the team won 1 out of 3 sections. Therefore, the fraction of matches won is:
rac{1}{3}
Step 2
Did the team's results improve in 2020? Explain how you know.
Answer
To assess if the team's results improved in 2020, we compare the win, draw, and loss sections of the pie chart for both years.
In 2020, if the fraction of wins increased compared to 2019 (for example, if the wins increased to 2 sections out of 3), we can conclude that the team improved its performance. Conversely, if the number of wins did not increase, or decreased, we would conclude that the results did not improve.
Thus, we can say:
"The team's results improved in 2020 because the fraction of wins increased compared to 2019."