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Geometry practice questions

40 questions from the trade math and blueprint reading practice test.

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Geometry practice test

10 questions, graded as you go, with the reason for every answer. No sign-up.

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Sample questions

A triangular gable end is 28 ft wide at the base and 7 ft high at the peak. What is its area in square feet?

Answer in sq ft.

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98 sq ft

Area = 1/2 × base × height = 0.5 × 28 × 7 = 98 sq ft.

Reference: Area of a triangle: A = ½ × b × h

A round tank is 10 in in diameter. About how long must a strap be to wrap once around it?

  1. 78.5 in
  2. 62.8 in
  3. 31.4 in
  4. 15.7 in
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C. 31.4 in

Circumference = π × diameter = 3.1416 × 10 = 31.4 in. 78.5 is the area (πr²) in square inches, and 62.8 comes from using the diameter in the radius formula 2πr.

Reference: Circumference of a circle: C = πd

A circular concrete pad is 6 ft in diameter. What is its area in square feet? Round to one decimal place.

Answer in sq ft.

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28.3 sq ft

Radius = 6 ÷ 2 = 3 ft. Area = π × r² = 3.1416 × 3² = 3.1416 × 9 = 28.27 sq ft, about 28.3 sq ft.

Reference: Area of a circle: A = πr²

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