IMSA Geometry and Spatial Reasoning

Question 1

What is the area of a triangle with base 10 and height 6?

Accepted Answer

30

Answer

Area of a triangle = (1/2) × base × height = (1/2) × 10 × 6 = 30.

Question 2

A rectangle has a perimeter of 36 cm and a width of 6 cm. What is its length?

Accepted Answer

12 cm

Answer

Perimeter = 2(l + w), so 36 = 2(l + 6), giving l = 12 cm.

Question 3

How many degrees are in the interior angles of a hexagon?

Accepted Answer

720°

Answer

The sum of interior angles of an n-gon is (n-2) × 180°; for a hexagon: (6-2) × 180° = 720°.

Question 4

What is the circumference of a circle with radius 7? (Use π ≈ 3.14)

Accepted Answer

43.96

Answer

Circumference = 2πr = 2 × 3.14 × 7 = 43.96.

Question 5

Two angles are supplementary. One angle measures 65°. What is the other?

Accepted Answer

115°

Answer

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

IMSA - Intermediate Math Skill Assesment Practice Test