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Mathematical Problem Solving Flashcards

7 cards from real ITBS 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 Problem Solving flashcards as text

  1. A rectangular room is 15 feet long and 10 feet wide. Carpet costs $3.50 per square foot. How much will it cost to carpet the entire room?

    Answer: $525.00

    Area = 15 × 10 = 150 sq ft; 150 × $3.50 = $525.00.

  2. If 5 workers can build a fence in 12 days, how many days will it take 10 workers to build the same fence?

    Answer: 6 days

    Doubling the workers halves the time: 12 ÷ 2 = 6 days.

  3. A class of 30 students took a test. 60% scored above 80. How many students scored 80 or below?

    Answer: 12

    60% above 80 means 40% scored 80 or below: 40% × 30 = 12 students.

  4. A cylinder has a radius of 5 cm and a height of 10 cm. Using π ≈ 3.14, what is the approximate volume?

    Answer: 785 cm³

    V = π × r² × h = 3.14 × 25 × 10 = 785 cm³.

  5. A store is having a 30% off sale. A jacket originally costs $80. What is the sale price?

    Answer: $56

    Discount = 30% × $80 = $24; sale price = $80 − $24 = $56.

  6. Two buses leave the same station at 9:00 AM. Bus A travels north at 45 mph and Bus B travels south at 55 mph. How far apart are they after 2 hours?

    Answer: 200 miles

    Bus A travels 45 × 2 = 90 miles and Bus B travels 55 × 2 = 110 miles; total distance = 90 + 110 = 200 miles.

  7. The ratio of boys to girls in a club is 3:5. If there are 40 members total, how many are boys?

    Answer: 15

    Total ratio parts = 3 + 5 = 8; boys = (3/8) × 40 = 15.