Question 1: If a pie chart shows that 90 degrees represents 15 students in a class, how many students are represented by a 120-degree sector?

Answer: 25

Question 2: A survey shows that 30% of students prefer basketball. If 120 students were surveyed, how many students prefer basketball?

Answer: 36

Question 3: Calculate the frequency for the 'Soccer' sector, which takes up 60 degrees on a pie chart representing 240 students.

Answer: 40

Question 4: A pie chart shows that 25% of a group of 200 people like ice cream. How many people like ice cream?

Answer: 50

Question 5: In a pie chart, the 45-degree sector represents 45 students. What is the total number of students surveyed?

Answer: 60

Question 6: A pie chart has a sector of 90 degrees representing 30 people. What is the total number of people surveyed?

Answer: 120

Question 7: A school's survey shows 40 students prefer football, which accounts for 25% of the students. How many students are there in total?

Answer: 160

Question 8: If 18 students like swimming, and this represents 15% of the class, how many students are in the class?

Answer: 120

Question 9: A pie chart shows a sector of 150 degrees representing 50 students. Determine the total number of students surveyed.

Answer: 120

Question 10: A survey reports that 60 students prefer baseball, which is 30% of the total students. Calculate the total number of students.

Answer: 200

Question 11: A pie chart shows a sector of 72 degrees representing a certain number of students. If the total number of students is 180, how many students does this sector represent?

Answer: 36

Question 12: Common mistake: A student calculates the frequency correctly as 30, but then mistakenly thinks the total students are 100. Identify and correct the mistake based on the sector angle being 108 degrees and total students being 180.

Answer: The correct calculation is (108/360) * 180 = 54 students. The mistake was assuming 30 students correspond to 108 degrees without using the formula.