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Mathematical Problem Solving & Number Operations Flashcards

7 cards from real BSEP 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 & Number Operations flashcards as text

  1. An employee's salary increased from $42,000 to $46,200. What percentage raise did they receive?

    Answer: 10%

    (46200 − 42000) / 42000 × 100 = 4200/42000 × 100 = 10%.

  2. What is the value of √144 + √25?

    Answer: 17

    √144 = 12 and √25 = 5; 12 + 5 = 17.

  3. A class of 30 students has a test average of 78. If 5 more students join and their average is 82, what is the new overall average?

    Answer: 78.6

    (30×78 + 5×82) / 35 = (2340 + 410) / 35 = 2750 / 35 ≈ 78.6.

  4. Which of the following is a rational number?

    Answer: 0.333...

    0.333... = 1/3, which can be expressed as a fraction of two integers.

  5. A pipe fills a tank in 6 hours. A second pipe fills it in 4 hours. Working together, how long will they take to fill the tank?

    Answer: 2.4 hours

    Combined rate = 1/6 + 1/4 = 2/12 + 3/12 = 5/12 per hour; time = 12/5 = 2.4 hours.

  6. Evaluate: −8 + (−3) × 4 ÷ (−6)

    Answer: −6

    Following order of operations: (−3) × 4 = −12; −12 ÷ (−6) = 2; −8 + 2 = −6.

  7. A map uses a scale of 1 inch = 25 miles. Two cities are 3.6 inches apart on the map. What is the actual distance?

    Answer: 90 miles

    3.6 × 25 = 90 miles.