Practice Test GeeksIMSA - Intermediate Math Skill Assesment Practice Test
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Mixed Deck — All IMSA Topics Flashcards

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

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  1. Which of the following is a linear function?

    Answer: f(x) = 2x + 5

    f(x) = 2x + 5 is linear because the variable x has an exponent of 1.

  2. A box contains 20 items: 8 defective and 12 good. If 2 are randomly tested, what is the probability both are good (without replacement)?

    Answer: 66/190

    P = (12/20) × (11/19) = 132/380 = 66/190.

  3. If 5 workers can complete a job in 12 days, how many days will 10 workers take to complete the same job?

    Answer: 6

    This is an inverse proportion: 5 × 12 = 10 × x, so x = 6 days.

  4. What is the domain of f(x) = 1/(x − 3)?

    Answer: All real numbers except x = 3

    The function is undefined when the denominator equals zero, i.e., when x = 3.

  5. What does a negative slope indicate about a line?

    Answer: The line falls from left to right

    A negative slope means that as x increases, y decreases, so the line falls from left to right.

  6. What does the graph of y = x² look like?

    Answer: A parabola opening upward

    y = x² is a quadratic equation whose graph is a U-shaped parabola opening upward.

  7. A table shows data: x: 1, 2, 3, 4 and y: 5, 10, 15, 20. Which equation represents this relationship?

    Answer: y = 5x

    For every unit increase in x, y increases by 5, and when x = 1, y = 5, confirming y = 5x.

  8. If two angles of a triangle are 35 degrees and 55 degrees, what is the measure of the third angle?

    Answer: 90 degrees

    The sum of the angles in a triangle is always 180 degrees. So, 180 - (35 + 55) = 90 degrees.

  9. In a right triangle, one leg is 8 and the hypotenuse is 10. What is the other leg?

    Answer: 6

    By the Pythagorean theorem: 8² + b² = 10², so 64 + b² = 100, giving b = 6.

  10. A pie chart shows 30% of a company's budget goes to marketing. If the total budget is $500,000, how much is spent on marketing?

    Answer: $150,000

    30% of $500,000 = 0.30 × 500,000 = $150,000.

  11. What is the mode of the following set of numbers: 2, 4, 4, 4, 6, 7, 8, 9?

    Answer: 4

    The mode is the number that appears most frequently in the data set, which is 4 in this case.

  12. Express 0.35 as a fraction in simplest form.

    Answer: 7/20

    0.35 = 35/100; dividing numerator and denominator by 5 gives 7/20.

  13. Which number is divisible by both 3 and 4?

    Answer: 36

    36 ÷ 3 = 12 and 36 ÷ 4 = 9, so 36 is divisible by both.

  14. If h(t) = −16t² + 64t represents the height of an object, what is h(2)?

    Answer: 64

    h(2) = −16(4) + 64(2) = −64 + 128 = 64.

  15. Two parallel lines are cut by a transversal. Alternate interior angles are:

    Answer: Equal

    When a transversal cuts parallel lines, alternate interior angles are always equal.

  16. Two workers together can finish a task in 6 hours. Worker A alone takes 10 hours. How long does Worker B alone take?

    Answer: 15 hours

    Combined rate = 1/6; A's rate = 1/10; B's rate = 1/6 − 1/10 = 5/30 − 3/30 = 2/30 = 1/15, so B takes 15 hours.

  17. The ratio of A to B is 3:5 and the ratio of B to C is 4:7. What is the ratio of A to C?

    Answer: 12:35

    Making B common: A:B = 12:20 and B:C = 20:35, so A:C = 12:35.

  18. A map uses a scale of 1 inch = 25 miles. If two cities are 3.5 inches apart on the map, what is the actual distance?

    Answer: 87.5 miles

    Actual distance = 3.5 × 25 = 87.5 miles.

  19. What is 35% of 280?

    Answer: 98

    35% of 280 = 0.35 × 280 = 98.

  20. A cylinder has radius 3 and height 5. What is its volume? (Use π ≈ 3.14)

    Answer: 141.3

    Volume = πr²h = 3.14 × 9 × 5 = 141.3.