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Numerical Operations MCQs for MDCAT Practice

Math Reasoning section, Numerical Operations chapter. Up to eight free sample questions, each with the correct answer and a worked explanation. The full chapter opens in the app.

The bank has 779 active questions on this chapter. Your first 500 practice attempts are free, and every attempt includes a worked explanation.

  1. Question 1
    sin² θ + cos² θ always equals:
    • 0
    • 1 (correct answer)
    • 2
    • It varies
    Correct answer: B
    The Pythagorean identity sin² θ + cos² θ = 1 is a fundamental trigonometric relationship applicable to all angles.
  2. Question 2
    What is the smallest number divisible by all single-digit numbers (1–9)?
    • 2520 (correct answer)
    • 1260
    • 1440
    • 1080
    Correct answer: A
    Find the Least Common Multiple (LCM) of single-digit numbers (1-9) to determine the smallest number divisible by all of them.
  3. Question 3
    What length, in centimeters, is equivalent to a length of 51 meters? (1 meter = 100 centimeters)
    • 0.051
    • 0.51
    • 5,100 (correct answer)
    • 51,000
    Correct answer: C
    Converts meters to centimeters using the given conversion factor to find the equivalent length.
  4. Question 4
    The number 0.666… (recurring) is equal to:
    • 2/3 (correct answer)
    • 1/3
    • 3/5
    • 5/6
    Correct answer: A
    Convert recurring decimals to fractions: 0.666... is a common recurring decimal with a straightforward conversion method.
  5. Question 5
    log₉(3²) = ?
    • 1 (correct answer)
    • 2
    • 4
    • 0.5
    Correct answer: A
    This question tests the fundamental properties of logarithms, specifically how to simplify expressions involving powers within the logarithm.
  6. Question 6
    x⁻² = 1/25. Find x.
    • 5
    • 1/5
    • ±5 (correct answer)
    • ±1/5
    Correct answer: C
    Solve for x given x⁻² = 1/25. This tests understanding of negative exponents and quadratic equations.
  7. Question 7
    The ascending order of 0.3,1/5 and 15% is
    • 0.3, 1/5 and 15%
    • 1/5, 0.3 and 15%
    • 0.3, 15% and 1/5
    • 15%, 1/5 and 0.3 (correct answer)
    Correct answer: D
    Comparing and ordering numbers presented in different formats (decimal, fraction, percentage) requires conversion to a common format.
  8. Question 8
    cot 0° = ?
    • 0
    • 1
    • Undefined (correct answer)
    • ∞
    Correct answer: C
    Understanding the definition of cotangent as the ratio of cosine to sine is crucial for evaluating trigonometric functions at key angles like 0°.

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Read the full Numerical Operations chapter notes: Numerical Operations notes. Or browse every chapter.