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Pre-Algebra & Number (Foundations)

Core skills for this exam family.

Phase 2 · ACT Math

Pre-Algebra & Number: core idea

lcm(a,b)=abgcd⁡(a,b)\mathrm{lcm}(a,b)=\frac{ab}{\gcd(a,b)}.

Example problem: hint and answer

Evaluate 18−3(4)18-3(4).

Hint: Multiply before subtracting. Answer: 6.

Practice (9 problems — type your answers)

  • 1. Find 35\frac{3}{5} of 4545.

  • 2. What is the least common multiple of 88 and 1212?

  • 3. Simplify 2128\frac{21}{28}.

  • 4. Convert 0.1250.125 to a fraction in simplest form.

  • 5. What is 262^6?

  • 6. Find 169\sqrt{169}.

  • 7. A 7272 dollar bill is split equally among 99 people. What does each pay?

  • 8. What is the remainder when 5353 is divided by 77?

  • 9. Order 0.60.6, 58\frac58, and 0.590.59 from least to greatest.

Pre-Algebra & Number Practice Problems — Foundations