CLAST Geometry and Measurement 1

Question 1

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

Accepted Answer

30 cm²

Answer

Area of a triangle = ½ × base × height = ½ × 10 × 6 = 30 cm².

Question 2

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

Accepted Answer

12 m

Answer

Perimeter = 2(l + w); 36 = 2(l + 6); 18 = l + 6; l = 12 meters.

Question 3

In a right triangle, one leg is 6 and the other leg is 8. What is the hypotenuse?

Accepted Answer

10

Answer

Using the Pythagorean theorem: c² = 6² + 8² = 36 + 64 = 100; c = 10.

Question 4

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

Accepted Answer

31.4 cm

Answer

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

Question 5

Two angles of a triangle measure 45° and 75°. What is the third angle?

Accepted Answer

60°

Answer

The sum of angles in a triangle is 180°; third angle = 180 − 45 − 75 = 60°.

CLAST - College Level Academic Skills Test Practice Test