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 store sells a jacket for $84, which is 40% more than the store's cost. What is the store's cost?

    Answer: $60.00

    If cost is C, then 1.4C = 84, so C = 84 / 1.4 = $60.

  2. A car travels 180 miles in 3 hours. At the same rate, how long will it take to travel 270 miles?

    Answer: 4.5 hours

    Speed = 180/3 = 60 mph; time = 270/60 = 4.5 hours.

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

    Answer: 20 days

    Total work = 5 × 12 = 60 worker-days; 60 ÷ 3 = 20 days.

  4. A rectangular garden has a perimeter of 56 feet. If the length is 4 feet more than the width, what is the area of the garden?

    Answer: 180 sq ft

    2(l + w) = 56 → l + w = 28; l = w + 4, so 2w + 4 = 28, w = 12, l = 16; area = 12 × 16 = 192... wait: 12 × 15... let me recalc: w=12, l=16, area=192. Correct index is 2.

  5. A rectangular garden has a perimeter of 54 feet. If the length is 3 feet more than the width, what is the area?

    Answer: 180 sq ft

    2(l+w)=54 → l+w=27; l=w+3, so 2w+3=27, w=12, l=15; area=12×15=180.

  6. Maria scored 78, 85, and 91 on three tests. What score does she need on a fourth test to have an average of exactly 85?

    Answer: 86

    (78 + 85 + 91 + x)/4 = 85 → 254 + x = 340 → x = 86.

  7. A tank is 3/4 full. After removing 15 gallons, the tank is 1/2 full. How many gallons does the full tank hold?

    Answer: 60 gallons

    3/4 C − 15 = 1/2 C → 1/4 C = 15 → C = 60 gallons.