Koydo
CDLNCLEXIELTSOpen Koydo

ACT · 8% of test plan

Math: Pre-Algebra & Elementary Algebra for the ACT Exam

Pre-Algebra questions are the most accessible ACT Math questions and consistently the highest-scoring area for students who prepare systematically. They include: operations on integers, fractions, and decimals; ratio and proportion; percent increase/decrease; simple probability; mean/median/mode; and basic linear equations. Mastering these questions first is the highest-ROI strategy for students scoring below 24 on Math, since they guarantee points before tackling the harder question types.

ACT Inc. — ACT Test Specifications: Mathematics section content areas and question distribution.

Locale-specific study guides

Pass-rate data, regulatory context, and study tips for Math: Pre-Algebra & Elementary Algebra all change by candidate locale. Pick your context:

Common failure modes

These are the patterns that cause most candidates to lose marks on this topic. Recognising them in advance is half the work.

  • !Calculation errors on fraction arithmetic — especially dividing fractions (multiply by reciprocal, don't invert the wrong one)
  • !Confusing "percent of" with "percent more than" — a $100 item at 20% more is $120, not $20
  • !On basic statistics questions, computing the mean when the question asks for the median — re-read what measure is requested
  • !Not converting rates to common units before setting up a proportion

Study tips

  • 1Master the "of means multiply" rule for percent problems: "What is 35% of 80?" → 0.35 × 80. This converts every percent word problem into multiplication.
  • 2Memorize the median-finding procedure: sort values first, then find the middle (or average the two middle values for an even number of data points).
  • 3For ratio problems, always find the value of one "part" first: if the ratio is 3:7 and total is 40, one part = 40/10 = 4.
  • 4Review order of operations (PEMDAS) systematically — ACT pre-algebra questions use carefully constructed expressions where PEMDAS errors lead to incorrect answers.

Sample ACT Math: Pre-Algebra & Elementary Algebra questions

These sample items mirror the format and difficulty of real ACT questions. Practice with thousands more on the free Koydo question bank.

  1. 1

    A store sells a jacket for $120. During a sale, the price is reduced by 15%. What is the sale price?

    • A$18
    • B$100
    • C$102Correct
    • D$105
    Why this answer?

    15% of $120 = 0.15 × 120 = $18 discount. Sale price = $120 − $18 = $102. Alternatively, sale price = 120 × 0.85 = $102. Option A is just the discount amount, a common error. (Illustrative.)

  2. 2

    The ages of five siblings are 8, 11, 14, 14, and 18. What is the median age?

    • A11
    • B13
    • C14Correct
    • D18
    Why this answer?

    The data is already sorted: 8, 11, 14, 14, 18. With five values, the median is the middle value — the third: 14. Note that 14 also happens to be the mode, but the median is what's asked. The mean would be 65/5 = 13, which is option B — a common wrong-answer trap.

  3. 3

    If 3/4 of a number is 27, what is the number?

    • A20.25
    • B36Correct
    • C81
    • D108
    Why this answer?

    (3/4) × n = 27. Multiply both sides by 4/3: n = 27 × (4/3) = 108/3 = 36. Alternatively, if 3/4 = 27, then 1/4 = 9, so the whole = 4 × 9 = 36.

Practice ACT — English, Math, Reading, Science — free.

Section-by-section drills aligned to current ACT content.

Start free ACT practice →