Question 1: A scientist conducted an experiment measuring the proportion of different gases in a sample. If oxygen makes up 40% of the sample, what is the angle in degrees of its corresponding sector in a pie chart?

Answer: 144

Question 2: In a science experiment, a diagram shows that 25% of the data is attributed to a certain gas. Calculate the angle of this gas's sector in the pie chart.

Answer: 90

Question 3: A pie chart displays the results of a biology experiment with the following proportions: 50% for Plant A, 30% for Plant B, and the rest for Plant C. Find the angle for Plant C’s sector.

Answer: 54

Question 4: Fluency & Practice: A chemical reaction produces three gases in the ratio 1:2:3. Calculate the angles of the pie chart sectors for each gas.

Answer: 60, 120, 180

Question 5: A researcher divides data into four categories: 10%, 20%, 30%, and 40%. Calculate the angles for each category’s sector.

Answer: 36, 72, 108, 144

Question 6: Problem Solving & Reasoning: In a science experiment, the data shows 15% of the results are from a specific reaction. The total angle of its sector in a pie chart is 54°. What is the total percentage of the other reactions combined?

Answer: 85

Question 7: A pie chart represents the distribution of four different chemicals used in an experiment. The angles for three of them are 72°, 108°, and 144°. Find the angle for the fourth chemical.

Answer: 36

Question 8: Challenge & Extension: A scientist notes that a sector measuring 81° in a pie chart corresponds to 45% of the data. Verify this percentage and suggest what the total data percentage would be if the sector was 90°.

Answer: 45%. Total data = 100% for 90° sector.

Question 9: Error analysis: A student calculates that a sector of 60° represents 25% of the data. Identify and correct the mistake in this calculation.

Answer: Correct calculation: 60° is 25% only if total is 240°. Accurate percentage = (60/360)*100 = 16.67%.

Question 10: Mixed Review: Calculate the sector angles for a data set with proportions 60%, 25%, 10%, and 5%.

Answer: 216, 90, 36, 18