Question 1: Calculate the angle in degrees in a pie chart that represents 25% of the data.

Answer: 90

Question 2: A pie chart indicates that 15% of responses are for a certain option. What is the corresponding central angle?

Answer: 54

Question 3: In a pie chart, if a segment measures 72°, what percentage of the data does this segment represent?

Answer: 20

Question 4: Construct a sector in the pie chart with an angle of 135°. What percentage of the data does this sector represent?

Answer: 37.5

Question 5: A pie chart shows that 40% of the data belongs to category A. What is the angle of category A's sector?

Answer: 144

Question 6: If a sector in a pie chart measures 81°, what percentage of the total data does this sector represent?

Answer: 22.5

Question 7: A pie chart shows three segments: 30°, 60°, and an unknown segment. The total circle is 360°. Find the size of the unknown segment.

Answer: 270

Question 8: In a survey, 25% of respondents preferred option X. Calculate the central angle for option X in the pie chart.

Answer: 90

Question 9: A pie chart has a segment measuring 45°. What percentage of the data does this segment represent?

Answer: 12.5

Question 10: A sector measures 108°. What percentage of the data does this sector represent?

Answer: 30

Question 11: A student draws a sector with an angle of 150° in a pie chart. What percentage does this sector represent? Show your working.

Answer: 41.67

Question 12: An error is made when calculating angles: a student calculates 40% as 144°. Identify the mistake and correct it.

Answer: Incorrect: 40% of 360° = 144°, which is correct. But if they printed the angle as 144° for 40%, the mistake is in the interpretation; they should understand the percentage directly converts to degrees with the formula: angle = percentage × 3.6.