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Two groups of students go on a water sport holiday - OCR - GCSE Maths - Question 7 - 2018 - Paper 1
Question 7
Two groups of students go on a water sport holiday. Each student chooses one activity. Students in Group A choose from Diving, Swimming, Paddleboarding and Kayaking... show full transcript
Worked Solution & Example Answer:Two groups of students go on a water sport holiday - OCR - GCSE Maths - Question 7 - 2018 - Paper 1
Step 1
Complete this table for Group A.
Answer
To complete the table, we need to find the number of students who chose Swimming and Paddleboarding, as well as the corresponding angles for these activities.
Step 1: Find Total Students
First, we calculate the total number of students in Group A:
- Diving: 5 students
- Kayaking: 9 students
- Total = 5 + x + y + 9
Step 2: Find Number of Students Choosing Paddleboarding
The total angle in a pie chart is always 360°. We already have the angles for Diving (60°) and Kayaking (108°).
Calculating the remaining angle for Swimming and Paddleboarding:
- Remaining angle = 360° - (60° + 108°) = 360° - 168° = 192°.
Step 3: Distributing the Remaining Angle
We assume that the remaining angle is split between Swimming and Paddleboarding based on the number of students in each. Let the number of students in Swimming be denoted by x and Paddleboarding by y. Since we do not have those exact values, we need to express them based on total students:
Using the angle proportions:
- For Swimming: rac{x}{x+y} imes 192° = ext{Angle for Swimming}
- For Paddleboarding: rac{y}{x+y} imes 192° = ext{Angle for Paddleboarding}
Assuming students' distribution varies, we can commonly evaluate either variable if more data is given or use total students for reference as needed.