Core Academic Skills Assessment Core Academic Skills Assessment Mathematics: Geometry and Measurement 2

Question 1

What is the circumference of a circle with a diameter of 10 cm? (Use π ≈ 3.14)

Accepted Answer

31.4 cm

Answer

Circumference = π × diameter = 3.14 × 10 = 31.4 cm.

Question 2

Two angles are supplementary. If one angle measures 65°, what is the measure of the other angle?

Accepted Answer

115°

Answer

Supplementary angles sum to 180°, so the other angle = 180° − 65° = 115°.

Question 3

A triangle has sides of length 5, 12, and 13. What type of triangle is this?

Accepted Answer

Right triangle

Answer

Since 5² + 12² = 25 + 144 = 169 = 13², the Pythagorean theorem is satisfied, making it a right triangle.

Question 4

What is the area of a triangle with a base of 8 meters and a height of 5 meters?

Accepted Answer

20 m²

Answer

Area of a triangle = ½ × base × height = ½ × 8 × 5 = 20 m².

Question 5

How many degrees are in a complete rotation (full circle)?

Accepted Answer

360°

Answer

A full rotation around a central point equals 360 degrees.

Core Academic Skills Assessment Practice Test