Photo AI

Jorge recorded the scorers of 120 goals - OCR - GCSE Maths - Question 9 - 2017 - Paper 1

Question icon

Question 9

Jorge-recorded-the-scorers-of-120-goals-OCR-GCSE Maths-Question 9-2017-Paper 1.png

Jorge recorded the scorers of 120 goals. He started to draw a pie chart to show the results. (a) How many goals did Simon score? (b) The table shows the other play... show full transcript

Worked Solution & Example Answer:Jorge recorded the scorers of 120 goals - OCR - GCSE Maths - Question 9 - 2017 - Paper 1

Step 1

How many goals did Simon score?

96%

114 rated

Answer

To find out how many goals Simon scored, we first determine the goals scored by the other players listed in the table. The total number of goals recorded is 120, and the goals scored by Wayne, Harry, and Obi can be summed up as follows:

  • Wayne scored 48 goals.
  • Harry scored 5 goals.
  • Obi's goals can be calculated from the angle of the pie chart, which is given as 72°.

To find Obi's goals:

Using the proportion, we can say: Obi’s goals=(72360)×120=24 goals\text{Obi's goals} = \left( \frac{72}{360} \right) \times 120 = 24 \text{ goals}

Therefore, the total goals scored by Wayne, Harry, and Obi is: 48+5+24=77 goals48 + 5 + 24 = 77 \text{ goals}

To find Simon's goals, we subtract this from the total: Simon’s goals=12077=43 goals\text{Simon’s goals} = 120 - 77 = 43 \text{ goals}

Step 2

Complete the table?

99%

104 rated

Answer

Using the previous calculations, we can fill in the table:

Name of scorerNumber of goalsAngle of sector
Wayne48144°
Harry515°
Obi2472°
Antony39117°

Step 3

Complete the pie chart.

96%

101 rated

Answer

The completed pie chart should include sections for each scorer, accurately representing their respective goals as follows:

  • Simon: 43 goals (Angle = (43120)×360=129°\left( \frac{43}{120} \right) \times 360 = 129°)
  • Wayne: 48 goals (Angle = 144°)
  • Harry: 5 goals (Angle = 15°)
  • Obi: 24 goals (Angle = 72°)
  • Antony: 39 goals (Angle = (39120)×360=117°\left( \frac{39}{120} \right) \times 360 = 117°)

Ensure that each section is labeled correctly.

Join the GCSE students using SimpleStudy...

97% of Students

Report Improved Results

98% of Students

Recommend to friends

100,000+

Students Supported

1 Million+

Questions answered

;