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OAR Math Skills: Geometry Questions and Answers Flashcards

6 cards from real OAR practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 6 OAR Math Skills: Geometry Questions and Answers flashcards as text

  1. The legs of a right triangle measure 9 and 12. What is the length of the hypotenuse?

    Answer: 15

    By the Pythagorean theorem, c = sqrt(81 + 144) = sqrt(225) = 15.

  2. What is the area of a trapezoid with bases of 10 cm and 14 cm and a height of 6 cm?

    Answer: 72 sq cm

    Area = (1/2)(b1 + b2)(h) = (1/2)(10 + 14)(6) = (1/2)(24)(6) = 72 sq cm.

  3. An arc subtends a central angle of 60 degrees in a circle of radius 12 cm. What is the arc length?

    Answer: 4pi cm

    Arc length = (theta/360) x 2*pi*r = (60/360) x 24pi = 4pi cm.

  4. A cone has a radius of 5 cm and a slant height of 13 cm. What is its lateral surface area in terms of pi?

    Answer: 65pi sq cm

    Lateral surface area = pi*r*l = pi*5*13 = 65pi sq cm.

  5. Two parallel lines are cut by a transversal. If one alternate interior angle measures 72 degrees, what does the other alternate interior angle measure?

    Answer: 72 degrees

    Alternate interior angles formed by parallel lines and a transversal are congruent, so both measure 72 degrees.

  6. What is the volume of a sphere with a diameter of 6 cm, in terms of pi?

    Answer: 36pi cu cm

    Radius = 3, so volume = (4/3)*pi*r^3 = (4/3)*pi*27 = 36pi cu cm.