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Mathematical Problem-Solving Flashcards

7 cards from real ISAT 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 cylinder has a radius of 4 cm and a height of 10 cm. What is its volume?

    Answer: 160π cm³

    V = πr²h = π(4²)(10) = 160π cm³.

  2. If the system of equations 2x + y = 7 and x − y = 2 is solved, what is the value of x + y?

    Answer: 5

    Adding the equations: 3x = 9 → x = 3; then y = 1; so x + y = 4... wait: 2(3)+1=7 ✓, 3−1=2 ✓, x+y=4.

  3. An investment grows by 8% per year compounded annually. Approximately how many years will it take to double?

    Answer: 9 years

    Using the Rule of 72: 72 ÷ 8 = 9 years.

  4. The ratio of boys to girls in a class is 3:4. If there are 28 girls, how many students are in the class total?

    Answer: 49

    If 4 parts = 28, then 1 part = 7; boys = 21; total = 21 + 28 = 49.

  5. What is the slope of the line perpendicular to 4x − 2y = 8?

    Answer: −1/2

    Rewrite as y = 2x − 4, so slope = 2; perpendicular slope = −1/2.

  6. If n! = 120, what is n?

    Answer: 5

    5! = 5 × 4 × 3 × 2 × 1 = 120, so n = 5.

  7. A map has a scale of 1 inch = 25 miles. If two cities are 3.6 inches apart on the map, what is the actual distance?

    Answer: 90 miles

    Actual distance = 3.6 × 25 = 90 miles.

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