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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

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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?

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Answer

To determine the fraction of matches won in 2019, we need to examine the pie chart for that year.

Assuming the pie chart indicates that the team won 30% of their matches in 2019:

The fraction can be represented as:

Fraction of matches won=Number of WinsTotal Matches=30100=310\text{Fraction of matches won} = \frac{\text{Number of Wins}}{\text{Total Matches}} = \frac{30}{100} = \frac{3}{10}

Thus, the team won ( \frac{3}{10} ) of their matches in 2019.

Step 2

Did the team’s results improve in 2020? Explain how you know.

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Answer

To assess if the team's results improved in 2020, we compare the winning percentage from both years.

If the pie chart for 2020 shows that the team won 50% of their matches, we would conclude that:

Yes, the team's results improved in 2020 because they won a higher percentage of matches compared to 2019.

This could be inferred numerically as:

  • 2019: 30% wins
  • 2020: 50% wins

The increase from 30% to 50% indicates a notable improvement in performance.

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