HOTS Mathematics Primary 6 Pie Charts

A pie chart represents a school's timetable for a 360-minute school day. The school decides to increase English time by 20 minutes, taking those 20 minutes from Mathematics. What will be the new sector angle for Mathematics in the updated pie chart?

A 60°
B 70°
C 80°
D 40°
Show Worked Solution

Worked Solution

Step 1: Understand the scale — the total school day is 360 minutes and the full pie chart is 360°, so 1 minute = 1 degree. Step 2: Current Mathematics time. Mathematics sector = 80° → 80 minutes Step 3: After the change, Mathematics time. 80 − 20 = 60 minutes Step 4: Convert back to degrees. 60 minutes × (360° ÷ 360 minutes) = 60° The new Mathematics sector angle is 60°.

Correct answer: 60°

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