Mastery Challenge: Geometry, Probability & Data Interpretation

The sum of the angles in a triangle is always:

• 360°

• 270°

• 180°

• 90°

If the sides of a triangle are 3 cm, 4 cm, and 5 cm, what type of triangle is it?

• Equilateral

• Isosceles

• Right-angled

• Obtuse

The sum of opposite angles in a cyclic quadrilateral is always:

• 90°

• 120°

• 180°

• 360°

If the length of a rectangle is doubled and the width is halved, what happens to the area?

• Increases

• Decreases

• Remains the same

• Becomes zero

What is the measure of each interior angle of a regular hexagon?

• 90°

• 108°

• 120°

• 150°

The number of tangents that can be drawn from a point outside a circle is:

• 1

• 2

• 3

• Infinite

If a triangle has sides 8 cm, 15 cm, and 17 cm, then its area is:

• 30 cm²

• 60 cm²

• 75 cm²

• 90 cm²

If the radius of a circle is 7 cm, what is its area? (Use π = 3.14)

• 120 cm²

• 154 cm²

• 175 cm²

• 200 cm²

If the perimeter of a square is 40 cm, what is its area?

• 50 cm²

• 75 cm²

• 100 cm²

• 120 cm²

The exterior angle of a triangle is equal to:

• The sum of two opposite interior angles

• The sum of all interior angles

• The largest interior angle

• None of the above