GED Mathematical reasoning 2

Question 1

A rectangle has a length of 12 cm and a width of 7 cm. What is its perimeter?

Accepted Answer

38 cm

Answer

Perimeter of a rectangle = 2(length + width) = 2(12 + 7) = 2(19) = 38 cm.

Question 2

Find the area of a triangle with a base of 10 inches and a height of 6 inches.

Accepted Answer

30 sq in

Answer

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

Question 3

What is the volume of a rectangular box (prism) with length 5 ft, width 4 ft, and height 3 ft?

Accepted Answer

60 ft³

Answer

Volume of a rectangular prism = l × w × h = 5 × 4 × 3 = 60 cubic feet.

Question 4

In a right triangle, the two legs measure 6 cm and 8 cm. What is the length of the hypotenuse?

Accepted Answer

10 cm

Answer

Using the Pythagorean theorem: c² = 6² + 8² = 36 + 64 = 100, so c = √100 = 10 cm.

Question 5

A circular pond has a radius of 7 meters. Using π ≈ 3.14, what is the area of the pond?

Accepted Answer

153.86 m²

Answer

Area = π × r² = 3.14 × 7² = 3.14 × 49 = 153.86 m².

GED Practice Test