Question 1: Calculate the measure of each exterior angle of a regular hexagon.

Answer: 60

Question 2: What is the measure of each exterior angle of a regular octagon?

Answer: 45

Question 3: A regular polygon has 12 sides. Calculate the measure of each exterior angle.

Answer: 30

Question 4: Construct a triangle where each exterior angle is 120°. Is this possible? Explain your reasoning.

Answer: No, because the sum of exterior angles of any polygon is 360°, and dividing 360° by 120° gives 3 sides, which forms an equilateral triangle.

Question 5: A regular polygon has an exterior angle of 30°. How many sides does it have?

Answer: 12

Question 6: Explain why the sum of all exterior angles of any polygon is always 360°.

Answer: Because as you turn around the polygon, the total amount of turning is a full circle, which is 360°.

Question 7: A polygon has 15 sides. Calculate the measure of each exterior angle.

Answer: 24

Question 8: A regular polygon’s exterior angles measure 72°. How many sides does it have? Show your working.

Answer: 5

Question 9: Identify the common mistake students might make when calculating exterior angles. How can it be corrected?

Answer: Students might mistakenly divide 360° by the number of sides without checking if the polygon is regular. To correct this, verify if the polygon is regular before using the formula.

Question 10: Plot the graph of y = 2x for x from 0 to 6. Use the grid to assist your drawing.

Answer: Students draw a straight line passing through points (0,0), (1,2), (2,4), (3,6), (4,8), (5,10), (6,12).

Question 11: A regular pentagon has an exterior angle of 72°. Construct the pentagon on the grid and verify all exterior angles are correct.

Answer: Students construct a pentagon with each exterior angle measuring 72°, confirming the angles sum to 360° and each interior angle as 108°.