GED Mathematical reasoning 3

Question 1

A cylinder has a radius of 4 cm and a height of 10 cm. Using π ≈ 3.14, what is its volume?

Accepted Answer

502.4 cm³

Answer

V = πr²h = 3.14 × 4² × 10 = 3.14 × 16 × 10 = 502.4 cm³.

Question 2

On a coordinate plane, what is the distance between points (1, 2) and (5, 5)?

Accepted Answer

5 units

Answer

Distance = √[(5−1)² + (5−2)²] = √[16 + 9] = √25 = 5 units.

Question 3

Angles A and B are supplementary. If angle A = 115°, what is angle B?

Accepted Answer

65°

Answer

Supplementary angles sum to 180°. Angle B = 180° − 115° = 65°.

Question 4

A scale drawing of a room uses a scale of 1 inch = 4 feet. If the room appears 6.5 inches long in the drawing, what is the actual length?

Accepted Answer

26 ft

Answer

Actual length = drawing length × scale factor = 6.5 inches × 4 ft/inch = 26 feet.

Question 5

What is the surface area of a cube with side length 5 cm?

Accepted Answer

150 cm²

Answer

A cube has 6 equal square faces. SA = 6 × s² = 6 × 5² = 6 × 25 = 150 cm².

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