Pre-Algebra Practice Test: Basic Geometry
- Basic Geometry
- 10 questions
- 14 minutes
This test covers angles, perimeter and area of basic shapes, circles, volume of rectangular prisms and right triangles. Tip: area is measured in square units and volume in cubic units, so check the units in your answer.
Tap an option to mark your answer. You can change your mind, or tap the same option again to leave the question blank. The correct answers and explanations appear when you finish the test.Tap an option to answer; tap it again to leave the question blank.
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Question 1
Two angles are supplementary. One of them measures 65°. What is the measure of the other?
Correct answer: D
Supplementary angles add up to 180°: 180° − 65° = 115°. The answer 25° uses 90°, which is for complementary angles.
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Question 2
Two angles of a triangle measure 48° and 67°. What is the third angle?
Correct answer: B
The angles of a triangle add up to 180°: 180° − 48° − 67° = 65°. The value 115° is just the sum of the two given angles.
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Question 3
A triangle has a base of 10 cm and a height of 7 cm. What is its area?
Correct answer: A
Area of a triangle = ½ × base × height = ½ × 10 × 7 = 35 cm². Forgetting the ½ gives 70 cm².
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Question 4
A circle has a radius of 5 inches. Using π ≈ 3.14, what is its circumference?
Correct answer: C
Circumference = 2πr = 2 × 3.14 × 5 = 31.4 inches. The value 78.5 is the area (πr²).
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Question 5
A circle has a diameter of 8 cm. Using π ≈ 3.14, what is its area?
Correct answer: B
The radius is 8 ÷ 2 = 4 cm, so the area is 3.14 × 4² = 50.24 cm². Using the diameter as the radius gives 200.96 cm².
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Question 6
A rectangular box is 4 ft long, 3 ft wide and 5 ft high. What is its volume?
Correct answer: D
Volume = length × width × height = 4 × 3 × 5 = 60 ft³. The value 94 is the surface area.
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Question 7
What is the perimeter of a rectangle that is 9 m long and 4 m wide?
Correct answer: A
Perimeter = 2 × (9 + 4) = 26 m. The value 36 is the area in square meters, and 13 counts each side only once.
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Question 8
Two straight lines cross and form four angles. One of the angles measures 72°. What is the measure of an angle next to it (adjacent to it)?
Correct answer: C
Adjacent angles formed by two crossing lines lie on a straight line, so they add up to 180°: 180° − 72° = 108°. The angle opposite (vertical) to the 72° angle is also 72°, but it is not adjacent.
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Question 9
A right triangle has legs of 5 cm and 12 cm. How long is the hypotenuse?
Correct answer: D
By the Pythagorean theorem, c² = 5² + 12² = 25 + 144 = 169, so c = 13 cm. Simply adding the legs gives 17 cm.
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Question 10
A parallelogram has a base of 12 inches, a height of 5 inches and slanted sides that are 6 inches long. What is its area?
Correct answer: A
Area of a parallelogram = base × height = 12 × 5 = 60 in². Multiplying by the slanted side (12 × 6 = 72) is the common trap, because the height must be perpendicular to the base.
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