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Mathematical Knowledge Principles Flashcards

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

Read the first 7 Mathematical Knowledge Principles flashcards as text

  1. What is the slope of the line passing through points (2, 3) and (4, 11)?

    Answer: 4

    Slope equals (11 - 3)/(4 - 2) = 8/2 = 4.

  2. If the average of 4, 8, and x is 10, what is x?

    Answer: 18

    The sum must be 30, so x = 30 - 4 - 8 = 18.

  3. What is the volume of a cube with an edge length of 4?

    Answer: 64

    Volume of a cube equals edge cubed, so 4³ = 64.

  4. Simplify: √72.

    Answer: 6√2

    72 = 36 × 2, so √72 = 6√2.

  5. If 3^x = 81, what is x?

    Answer: 4

    Since 3⁴ = 81, x equals 4.

  6. What is 15% of 240?

    Answer: 36

    15% of 240 equals 0.15 × 240 = 36.

  7. Two angles of a triangle measure 45° and 65°. What is the third angle?

    Answer: 70°

    Angles sum to 180°, so 180 - 45 - 65 = 70°.