Free SAT Math Additional Topics Geometry and Trigonometry Practice Test

Question 1

What is the area of a circle with radius 5?

Accepted Answer

25π

Answer

Area = πr² = π(5)² = 25π.

Question 2

In a right triangle, the two legs have lengths 3 and 4. What is the hypotenuse?

Accepted Answer

5

Answer

By the Pythagorean theorem: c² = 3² + 4² = 9 + 16 = 25. So c = 5.

Question 3

What is the circumference of a circle with diameter 10?

Accepted Answer

10π

Answer

Circumference = πd = π(10) = 10π.

Question 4

A rectangle has length 8 and width 5. What is its perimeter?

Accepted Answer

26

Answer

Perimeter = 2(l + w) = 2(8 + 5) = 2(13) = 26.

Question 5

In a right triangle, if sin(θ) = 3/5, what is cos(θ)?

Accepted Answer

4/5

Answer

Using the Pythagorean identity: sin²θ + cos²θ = 1. (3/5)² + cos²θ = 1 → 9/25 + cos²θ = 1 → cos²θ = 16/25 → cosθ = 4/5.

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