A pie chart shows the favourite sports of all students in a P6 cohort. The Football sector has an angle of 72° and represents 12 students. The Basketball sector has an angle of 150°. The remaining sectors are Badminton (90°) and Swimming (48°). How many students chose Basketball as their favourite sport?
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Worked Solution
Step 1: Find the total number of students using the Football sector.
The Football sector (72°) represents 12 students.
Fraction of circle for Football = 72 ÷ 360 = 1/5
Total students = 12 ÷ (1/5) = 12 × 5 = 60 students
Step 2: Find the number of students who chose Basketball.
Fraction of circle for Basketball = 150 ÷ 360 = 5/12
Basketball students = 5/12 × 60 = 25 students
25 students chose Basketball as their favourite sport.
Correct answer: 25
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