Practice Test Geeks(MPT) UCF Math Placement Test Practice Test
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Problem Solving Flashcards

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

Read the first 7 Problem Solving flashcards as text

  1. A boat travels 24 miles upstream in 3 hours and returns downstream in 2 hours. What is the speed of the current?

    Answer: 2 mph

    Upstream speed = 8 mph, downstream = 12 mph; current = (12−8)/2 = 2 mph.

  2. A coin is flipped and a standard die is rolled. What is the probability of getting heads and a number greater than 4?

    Answer: 1/6

    P(heads) = 1/2; P(>4) = 2/6 = 1/3; combined = 1/2 × 1/3 = 1/6.

  3. A piece of wire 60 cm long is bent into a rectangle whose length is twice its width. What is the length?

    Answer: 20 cm

    2(l+w) = 60 and l = 2w → 2(2w+w) = 60 → 6w = 60 → w = 10, l = 20.

  4. An investment grows from $500 to $605 in one year. What is the annual interest rate?

    Answer: 21%

    Rate = (605 − 500)/500 = 105/500 = 0.21 = 21%.

  5. If x + y = 10 and x − y = 4, what is the value of x²− y²?

    Answer: 40

    x² − y² = (x+y)(x−y) = 10 × 4 = 40.

  6. A 12-foot shadow is cast by a 8-foot pole. At the same time, a nearby tree casts a 30-foot shadow. How tall is the tree?

    Answer: 20 feet

    8/12 = h/30 → h = 8 × 30 / 12 = 20 feet.

  7. A number is increased by 25% and then decreased by 20%. What is the net percent change?

    Answer: 0%

    1 × 1.25 × 0.80 = 1.00; net change = 0%.