JAMB Mathematics 2020 Paper

Concept:In a pie chart, the angle of each sector is directly proportional to the quantity it represents.Explanation:The complete pie chart represents all $150$ students in the class.A full circle subtends an angle of $360^\circ$.Therefore, $360^\circ$ corresponds to $150$ students.The physics sector has an angle of $12^\circ$.So the fraction of students offering physics equals $\frac{12}{360}$ of the total number of students.Number of physics students $= \frac{12}{360} \times 150$.Simplify the fraction: $\frac{12}{360} = \frac{1}{30}$.So the number of physics students $= \frac{1}{30} \times 150 = 5$.As a quick check, $5$ students out of $150$ gives an angle of $\frac{5}{150} \times 360^\circ = 12^\circ$, which matches the sector angle given.Answer:$5$ students are offering physics.The correct option is D.