JAMB 2020 Mathematics · Question 34
In a class of 150 students, the sector in a pie chart representing the students offering physics has angle 12. How many students are offering physics?
Options
- A.18
- B.15
- C.10
- D.5
Answer: D. 5
Explanation written with AI and checked against the answer key
Analyze the question: A pie chart shows 150 students in total, which is the full 360°. The physics sector has an angle of 12°, and we need the number of students it represents. Concept: In a pie chart, each sector's angle is proportional to its frequency: Number of students = (sector angle / 360°) × total number of students Solution: Number offering physics = (12 / 360) × 150 = (1 / 30) × 150 = 150 / 30 = 5 Check: 360° corresponds to 150 students, so 1° corresponds to 150/360 = 5/12 of a student. Then 12° gives 12 × 5/12 = 5 students. ✔ Answer: 5 students, which is option D. Tip: Simplify the fraction first. 12/360 reduces to 1/30 right away, which makes the arithmetic quick. Wrong options like 10 or 15 come from slips such as dividing by the wrong number, so always write out the fraction (angle/360) × total.AI can make mistakes. Report anything that looks wrong.
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