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OAR Math Skills: Geometry Flashcards

7 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 7 OAR Math Skills: Geometry flashcards as text

  1. A sphere has a radius of 3 in. What is its volume? (Use π ≈ 3.14)

    Answer: 113.04 in³

    V = (4/3) × π × r³ = (4/3) × 3.14 × 27 = 113.04 in³.

  2. Two similar triangles have corresponding sides in a ratio of 3:5. If the area of the smaller triangle is 27 cm², what is the area of the larger triangle?

    Answer: 75 cm²

    The area ratio equals the square of the side ratio: (3/5)² = 9/25; larger area = 27 × (25/9) = 75 cm².

  3. A sector of a circle has a central angle of 90° and radius 8 cm. What is the area of the sector? (Use π ≈ 3.14)

    Answer: 50.24 cm²

    Area = (θ/360°) × πr² = (90/360) × 3.14 × 64 = 0.25 × 200.96 = 50.24 cm².

  4. A line passes through points (0, 4) and (3, 10). What is the equation of the line?

    Answer: y = 2x + 4

    Slope = (10 − 4)/(3 − 0) = 6/3 = 2; y-intercept = 4; equation: y = 2x + 4.

  5. Which transformation maps a figure onto itself only if the figure has rotational symmetry?

    Answer: Rotation

    A rotation maps a figure onto itself only when the figure has rotational symmetry about the center of rotation.

  6. A right circular cylinder has a volume of 502.4 cm³ and height of 10 cm. What is its radius? (Use π ≈ 3.14)

    Answer: 4 cm

    V = πr²h → r² = 502.4 ÷ (3.14 × 10) = 502.4 ÷ 31.4 = 16; r = 4 cm.

  7. In triangle PQR, PQ = QR = 10 and PR = 12. What is the height from Q to PR?

    Answer: 8

    The height bisects PR at 6; using Pythagoras: h = √(10² − 6²) = √(100 − 36) = √64 = 8.