ACT Math · Number & Quantity

Number operations and exponents practice questions

Each free question on this page comes with its answer and a full explanation.

  1. Question 1Simplify: (a^3/4)^4/3 for a > 0.
  2. Question 6Which expression is equivalent to √(200)?
  3. Question 44What is (3.2 × 10^5)(2 × 10^-3)?
  4. Question 45Which expression is equivalent to (2x^-3y²)^-2 for x, y ≠ 0?
  5. Question 46The repeating decimal 0.63 (63 repeating) is equivalent to which fraction?
  6. Question 89Which expression is equivalent to 5√(3) with a rationalized denominator?
  7. Question 90What is the greatest common factor of 24 and 36?
  8. Question 173What is the real cube root of -125?
  9. Question 174What is the prime factorization of 360?
  10. Question 176What is the value of -2² + 3(-1)³?
  11. Question 220Which expression is equivalent to 43+√(5) with a rationalized denominator?
  12. Question 221What is (8 × 10^7) ÷ (2 × 10^-2)?
  13. Question 222Which best describes √(16)?
  14. Question 223If |x| + |y| = 10 and x = 6, what are the possible values of y?
  15. Question 227Solve for x: √(2x - 3) = 5.
  16. Question 229What is (2x - 3)²?

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