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JAMB Mathematics 2013 Paper

Question : 36

Total: 47

The pie chart above shows the statistical distribution of 80 students in five subjects in an examination. Calculate how many student offer Mathematics.

Validate

Solution:

5x° + (16x - 24)° + 5x° + (4x + 12)° + (6x + 12)° = 360°

36x° - 24 + 12 + 12 = 360°

36x° = 360°

x° =

\frac{360^{\circ}}{36}

= 10°

Thus, the angle of sector representing Mathematics is 5 x 10° = 50°. Hence the number of students who offer mathematics is

\frac{50}{360} \times 80 \approx 11

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