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Mathematical Aptitude Flashcards

7 cards from real OTEE 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 Aptitude flashcards as text
  1. If 3x + 7 = 25, what is the value of x?

    Answer: 6

    Subtract 7 from both sides to get 3x = 18, then x = 6.

  2. One number is 4 more than twice another number, and their sum is 22. What is the smaller number?

    Answer: 6

    Let n = smaller; 2n + 4 + n = 22 → 3n = 18 → n = 6.

  3. Which values of x satisfy the equation x² − 5x + 6 = 0?

    Answer: x = 2 and x = 3

    Factor as (x − 2)(x − 3) = 0, giving x = 2 or x = 3.

  4. A cadet receives a 15% pay raise and now earns $23 per hour. What was the original hourly rate?

    Answer: $20.00

    1.15x = 23, so x = 23 ÷ 1.15 = $20.00.

  5. Solve for y: 2(y − 3) = 4y − 10

    Answer: y = 2

    2y − 6 = 4y − 10 → −2y = −4 → y = 2.

  6. If f(x) = 2x² − 3x + 1, what is f(3)?

    Answer: 10

    f(3) = 2(9) − 3(3) + 1 = 18 − 9 + 1 = 10.

  7. A training camp has twice as many enlisted soldiers as officers. If there are 15 officers, what is the total number of people in the camp?

    Answer: 45

    15 officers + 2 × 15 enlisted = 15 + 30 = 45 total.