ACT Math study materials
ACT Math study resources

ACT Math study plan

ACT Math · Give each week a clear focus.

8 weeks · About 6 hours per week

Week 1

Algebra

  • Solve 40 linear equations and linear inequalities, including absolute-value cases, showing each step without a calculator.

  • Translate 10 word problems into single-variable equations, solve them, and check each answer against the original wording.

  • Factor and expand 25 polynomial expressions covering common factors, difference of squares, and basic trinomials.

  • Simplify 15 rational expressions and solve 10 rational equations, stating the restricted values for each.

Your checkpoint

A 30-question Algebra quiz scored at 80% or better, with every missed item reworked on a separate correction page.

Week 2

Functions & Algebra

  • Evaluate function notation for 25 inputs, including composite functions and simple inverses.

  • Convert 20 quadratics among standard, vertex, and factored forms, and read off the vertex and intercepts from each.

  • Match 15 equations to their graph behaviors: intercepts, end behavior, and basic asymptotes.

  • Solve 10 systems of two equations by both substitution and elimination and verify each solution graphically.

Your checkpoint

A handwritten two-page function and graph reference sheet, plus 25 practice items worked correctly on the first attempt.

Week 3

Geometry

  • Compute perimeter, area, surface area, and volume for 20 figures, including unit conversions on at least 5 of them.

  • Apply the Pythagorean theorem, distance formula, and midpoint formula across 15 problems.

  • Solve 15 triangle problems using angle sums, similarity, and right-triangle side ratios.

  • Write and use equations of 10 lines and circles in the coordinate plane.

Your checkpoint

A formula sheet reproduced from memory and checked against notes, plus 20 geometry practice items worked correctly.

Week 4

Geometry & Functions

  • Solve 15 circle problems covering arc length, sector area, chords, central angles, and inscribed angles.

  • Find areas and volumes of 10 composite figures by decomposing them into known shapes.

  • Re-solve 20 items missed in weeks 1 through 3 and log the error type for each.

  • Complete a 25-question mixed section in 30 minutes without pausing the timer.

Your checkpoint

A 40-question mixed mid-plan test covering domains 2, 3, and 4, scored at 75% or better under timing.

Week 5

Number and Quantity

  • Set up and solve 20 ratio, proportion, and rate problems, including multi-step unit-rate conversions.

  • Compute 20 percent-change, percent-of, and successive-percent problems, distinguishing increase from decrease.

  • Apply exponent and radical rules to simplify 25 expressions, including rational exponents.

  • Convert between decimal, fraction, and scientific notation for 15 values, and order 10 mixed-format numbers from least to greatest.

Your checkpoint

A 30-question Number and Quantity quiz scored at 80% or better, with a one-line rule written for each item missed.

Week 6

Statistics and Probability

  • Compute mean, median, mode, range, and weighted average for 12 data sets, including one-value-changes cases.

  • Read and interpret box plots and histograms to answer 10 questions about spread, quartiles, and outliers.

  • Calculate probabilities of 15 simple and compound events, including complementary and conditional cases.

  • Solve 10 counting problems using the fundamental counting principle, permutations, and combinations as appropriate.

Your checkpoint

A 25-question Statistics and Probability quiz scored at 85% or better, plus one page naming the recurring misread-question patterns found.

Week 7

Algebra & Functions & Geometry & Number and Quantity & Statistics and Probability

  • Rank your three weakest subtopics from the accumulated error log and drill 20 items in each.

  • Work 60 mixed practice questions spread evenly across all five domains, untimed, recording time per question.

  • Rewrite every still-missed item from the error log as a rule or worked template.

  • Set a per-question time budget and rehearse it on 20 questions, stopping at the limit for each.

Your checkpoint

An error log with zero unresolved entries across the full 60-question mixed set, plus a written pacing target.

Week 8

Algebra & Functions & Geometry & Number and Quantity & Statistics and Probability

  • Take two full-length timed math sections under test conditions, no interruptions.

  • Review both sections item by item and classify each miss as content gap, misread, or pacing.

  • Recall the full formula and rule sheet from memory in under 10 minutes, twice.

  • Redo 15 items from the two timed sections that were missed, aiming for zero repeat errors.

Your checkpoint

Two completed timed sections with scores recorded and a one-page final review card containing only the rules you missed most.

Milestones

Week 4: Score 75% or better on the timed 40-question mixed test covering Algebra, Functions, and Geometry, and report the error log with all week 1-3 misses reworked.

Week 6: Score 85% or better on the Statistics and Probability quiz and 80% or better on the Number and Quantity quiz, with no unresolved error-log items from either.

Week 8: Complete two full-length timed math sections at or above your target score with no section left blank, and hold a final review card covering every recurring error type.