Question 1: Calculate the angle in degrees for a sector representing 25% of a pie chart.

Answer: 90

Question 2: If a pie chart has a sector with an angle of 54°, what percentage of the whole does this sector represent?

Answer: 15

Question 3: A sector of a pie chart measures 72°. What proportion of the chart does this sector represent as a percentage?

Answer: 20

Question 4: Construct a sector with an angle of 135° on your grid, representing 30% of a pie chart. Show your drawing.

Answer: Student draws sector with 135° angle, labeled as 30%

Question 5: A pie chart shows 40% of data in one sector. Calculate the angle of that sector.

Answer: 144

Question 6: In a pie chart, a sector measures 81°. What percentage of the total does this sector represent?

Answer: 22.5

Question 7: A sector with an angle of 108° is part of a circle. What percentage does it represent? Show your working.

Answer: 30

Question 8: A pie chart has sectors with angles of 60°, 90°, and 30°. What is the remaining angle in the chart?

Answer: 180

Question 9: A sector representing 35% of a pie chart has an angle of 126°. Is this correct? Explain your reasoning.

Answer: Yes, because 35% of 360° = 126°

Question 10: Identify and correct the mistake in this calculation: A sector of 50% corresponds to 180°.

Answer: Incorrect, 50% of 360° is 180°, so the calculation is actually correct.

Question 11: A pie chart shows 10%, 25%, and 15% sectors. Calculate the remaining percentage and its corresponding angle.

Answer: 50%; 180°

Question 12: Challenge: Construct a pie chart segment that represents exactly one quarter of the circle. Show your drawing and label the angle.

Answer: 90° sector, labeled as 25%