CLT Math 3

Question 1

A triangle has angles measuring 45°, 55°, and x°. What is x?

Accepted Answer

80

Answer

The angles of a triangle sum to 180°, so x = 180 - 45 - 55 = 80.

Question 2

The area of a circle with radius 5 is closest to:

Accepted Answer

78.5

Answer

Area = πr² = π(25) ≈ 78.54.

Question 3

In a right triangle, the two legs measure 9 and 12. What is the hypotenuse?

Accepted Answer

15

Answer

By the Pythagorean theorem, c = √(81 + 144) = √225 = 15.

Question 4

Two parallel lines are cut by a transversal. If one co-interior (same-side interior) angle is 110°, the other is:

Accepted Answer

70°

Answer

Co-interior angles are supplementary, so the other angle = 180° - 110° = 70°.

Question 5

A rectangle has a perimeter of 36 and a length of 10. What is its width?

Accepted Answer

6

Answer

P = 2(l + w), so 36 = 2(10 + w), giving w = 8. Wait — 2(10+w)=36 → 10+w=18 → w=8. Answer is 8.

(CLT) Classical Learning Test Practice Test