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Mathematics Flashcards

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

Read the first 6 Mathematics flashcards as text

  1. What is the least common multiple (LCM) of 8 and 12?

    Answer: 24

    The LCM of 8 and 12 is 24 because it is the smallest number divisible by both 8 and 12.

  2. Solve for y: 5y - 8 = 2y + 10.

    Answer: 6

    Subtracting 2y from both sides gives 3y - 8 = 10; adding 8 gives 3y = 18, so y = 6.

  3. What is the probability of rolling an even number on a standard six-sided die?

    Answer: 1/2

    Three of the six faces (2, 4, 6) are even, giving a probability of 3/6 = 1/2.

  4. The hypotenuse of a right triangle is 13 and one leg is 5. What is the other leg?

    Answer: 12

    Using the Pythagorean theorem: 5² + b² = 13² → 25 + b² = 169 → b² = 144 → b = 12.

  5. What is the value of 4! (4 factorial)?

    Answer: 24

    4! = 4 × 3 × 2 × 1 = 24.

  6. Which expression is equivalent to (x + 3)(x - 2)?

    Answer: x² + x - 6

    Using FOIL: x² - 2x + 3x - 6 = x² + x - 6.

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Sources & references

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  1. bsss.act.edu.au — Eligibility, exam format, passing score · verified Oct 2026
  2. bsss.act.edu.au — Test delivery, late registration, retake policy · verified Oct 2026