Practice Test GeeksAFOQT Practice Test
← All AFOQT Flashcard Decks

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 circumference of a circle with a radius of 7? (Use π ≈ 3.14)

    Answer: 43.96

    Circumference equals 2πr, so 2(3.14)(7) ≈ 43.96.

  2. Factor the expression: x² - 9.

    Answer: (x + 3)(x - 3)

    This is a difference of squares, factoring to (x + 3)(x - 3).

  3. If 5 pencils cost $1.25, how much do 12 pencils cost at the same rate?

    Answer: $3.00

    Each pencil costs $0.25, so 12 pencils cost 12 × $0.25 = $3.00.

  4. What is the value of the expression 6! / 5!?

    Answer: 6

    6! divided by 5! cancels to leave just 6.

  5. A rectangle has a length of 8 and a width of 5. What is its diagonal length (rounded)?

    Answer: 9.4

    The diagonal equals the square root of (8² + 5²) = √89 ≈ 9.4.

  6. Solve the inequality: 2x + 3 > 11.

    Answer: x > 4

    Subtract 3 to get 2x > 8, then divide by 2 to get x > 4.

  7. What is the greatest common factor (GCF) of 24 and 36?

    Answer: 12

    The largest number dividing both 24 and 36 evenly is 12.