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GED Mathematical Reasoning Preparation Course: GED geometry and measurement

Untimed topic quiz: 17 questions on GED geometry and measurement, with an explanation after each answer. Questions and answers are shuffled every time.

  • Course
  • United States
  • 100 questions
  • Checked October 13, 2026
  • Fact-checked October 13, 2026
Start with the lessonsGED Mathematical Reasoning Preparation: Lessons: about 420 minutes of reading. Every test question is covered in the lessons.

Topic quiz 3: GED geometry and measurement

  1. Question 1 of 17

    A rectangular yard is 14 feet long and 9 feet wide. What is its perimeter?
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    Answer: D. 46 feet

    Perimeter of a rectangle = 2l + 2w = 2(14) + 2(9) = 46 feet.

  2. Question 2 of 17

    A room is 12 feet by 15 feet. How much carpet covers the floor?
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    Answer: C. 180 square feet

    Area of a rectangle = length × width = 12 × 15 = 180 square feet.

  3. Question 3 of 17

    A triangle has a base of 10 inches and a height of 7 inches. What is its area?
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    Answer: A. 35 square inches

    Area of a triangle = 1/2 × base × height = 1/2 × 10 × 7 = 35 square inches.

  4. Question 4 of 17

    A circle has a radius of 5 inches. Using π ≈ 3.14, what is its area?
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    Answer: A. 78.5 square inches

    Area = πr² = 3.14 × 5 × 5 = 78.5 square inches. 31.4 is the circumference, not the area.

  5. Question 5 of 17

    A round table has a diameter of 14 inches. Using π ≈ 3.14, what is its circumference?
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    Answer: D. 43.96 inches

    Circumference = πd = 3.14 × 14 = 43.96 inches. Use the diameter, or 2 × the radius.

  6. Question 6 of 17

    A trapezoid has parallel sides of 8 feet and 12 feet and a height of 5 feet. What is its area?
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    Answer: B. 50 square feet

    Area = 1/2 × h × (b₁ + b₂) = 1/2 × 5 × (8 + 12) = 50 square feet.

  7. Question 7 of 17

    A right triangle has legs of 9 inches and 12 inches. How long is the hypotenuse?
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    Answer: A. 15 inches

    Pythagorean theorem: a² + b² = c². 81 + 144 = 225, and √225 = 15 inches.

  8. Question 8 of 17

    A 13-foot ladder leans on a wall. Its base is 5 feet from the wall. How high up the wall does it reach?
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    Answer: D. 12 feet

    The ladder is the hypotenuse: 5² + h² = 13², so h² = 169 − 25 = 144 and h = 12 feet.

  9. Question 9 of 17

    A rectangular patio is 20 feet by 12 feet. A 5-foot by 5-foot square in one corner is a planter, not paved. What area is paved?
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    Answer: B. 215 square feet

    Whole patio: 20 × 12 = 240 square feet. Subtract the planter: 5 × 5 = 25. 240 − 25 = 215 square feet.

  10. Question 10 of 17

    A rectangle has an area of 84 square inches and a width of 7 inches. What is its length?
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    Answer: D. 12 inches

    Area = length × width, so length = 84 ÷ 7 = 12 inches.

  11. Question 11 of 17

    A storage box is 2 feet by 3 feet by 4 feet. What is its volume?
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    Answer: A. 24 cubic feet

    Volume of a rectangular prism = l × w × h = 2 × 3 × 4 = 24 cubic feet.

  12. Question 12 of 17

    How much paper is needed to cover all six faces of a box that is 2 feet by 3 feet by 4 feet?
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    Answer: D. 52 square feet

    Surface area = 2(lw + lh + wh) = 2(6 + 8 + 12) = 2 × 26 = 52 square feet.

  13. Question 13 of 17

    A can is a cylinder with a radius of 3 inches and a height of 10 inches. Using π ≈ 3.14, what is its volume?
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    Answer: A. 282.6 cubic inches

    Volume of a cylinder = πr²h = 3.14 × 9 × 10 = 282.6 cubic inches.

  14. Question 14 of 17

    A cone has a radius of 3 inches and a height of 8 inches. Using π ≈ 3.14, what is its volume?
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    Answer: A. 75.36 cubic inches

    Volume of a cone = 1/3 × πr²h = 1/3 × 3.14 × 9 × 8 = 75.36 cubic inches. Without the 1/3 you would get 226.08.

  15. Question 15 of 17

    A pyramid has a square base 6 feet on each side and a height of 10 feet. What is its volume?
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    Answer: B. 120 cubic feet

    Volume of a pyramid = 1/3 × base area × height = 1/3 × 36 × 10 = 120 cubic feet.

  16. Question 16 of 17

    A ball has a radius of 3 inches. Using π ≈ 3.14, what is its volume?
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    Answer: C. 113.04 cubic inches

    Volume of a sphere = 4/3 × πr³ = 4/3 × 3.14 × 27 = 113.04 cubic inches.

  17. Question 17 of 17

    Each side of a cube-shaped box is doubled. What happens to the volume?
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    Answer: A. It becomes 8 times as large

    Volume = s³. If s doubles, the volume is (2s)³ = 8s³, so it is 8 times as large.

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