Best ACT Math Study Resources 2026: Free and Paid Options by Target Score

Updated on May 23, 2026. ACT exam details reviewed against official ACT resources at act.org.

Best ACT Math Study Resources 2026: Free and Paid Options by Target Score

The ACT Math section gives you 60 questions in exactly 60 minutes — one minute per question. Unlike the SAT, the entire ACT Math section allows calculator use. What changes your score is not calculator access but which of the six topic areas you are strongest and weakest in. A student targeting 20 has different weak spots than one targeting 30, and the right resources differ accordingly.

What topics are on the ACT Math section?

The ACT publishes approximate question counts for each content area:

• Pre-Algebra (20–25%, approximately 14 questions): Fractions, decimals, percentages, integer properties, ratios, proportions, basic statistics (mean, median, mode). This is the most frequently tested area and the most commonly underestimated by students targeting scores above 25.
• Elementary Algebra (15–20%, approximately 11 questions): Linear equations in one variable, inequalities, substitution, simple algebraic expressions.
• Intermediate Algebra (15–20%, approximately 11 questions): Quadratic equations (factoring, quadratic formula), systems of equations, absolute value equations, radical expressions, sequences.
• Coordinate Geometry (15–20%, approximately 11 questions): Graphing linear equations, slope, distance formula, midpoint formula, conic sections at an introductory level.
• Plane Geometry (20–25%, approximately 14 questions): Triangles (area, perimeter, similar triangles, Pythagorean theorem), circles (area, circumference, arc length), polygons, parallel lines with transversals, 3D solid volumes.
• Trigonometry (5–10%, approximately 7 questions): Sine, cosine, tangent definitions in right triangles; basic trigonometric identities; graphing trig functions at an introductory level.

Diagnosis first: take a full ACT Math section and categorize your wrong answers by topic. Students below 20 nearly always have Pre-Algebra or Elementary Algebra gaps. Students in the 20–26 range typically struggle with Coordinate and Plane Geometry. Students targeting 30+ need to master the Intermediate Algebra and Trigonometry questions that appear in the last 15–20 questions of the section.

ACT Math resource comparison: free vs. paid options

Resource	Cost	Question Count	Adaptive	Best Score Target
ACT Academy (Official)	Free	Full test	Limited	Any — official and free
Khan Academy	Free	Full coverage	No	Below 22, algebra focus
Official ACT Online Prep	$39.95	5 full tests	No	Any — most realistic practice
The Princeton Review ACT Prep	$179+	6+ full tests	Yes	22–30
Magoosh ACT	$129/6 mo.	200+ questions	Yes	26–36
PrepScholar ACT	$39.95/mo.	Targeted drills	Yes	28–36

Score-band study resource recommendations

• Below 20: Start with ACT Academy (free) for foundational Pre-Algebra and Elementary Algebra content. Khan Academy's arithmetic and algebra sections fill the same role. Do not use timed practice until achieving 70%+ accuracy on untimed drills. At this stage, accuracy matters more than pacing.
• 20–26: Official ACT Online Prep or The Princeton Review — you need realistic full-length tests with explanations, not just topic drills. Add Coordinate Geometry and Plane Geometry review (these two domains combined are 30–40% of questions and commonly undertargeted).
• 27–36: Magoosh or PrepScholar for adaptive drilling on hardest question types. At this level, errors are not conceptual — they are pacing, trap avoidance, or rare topic gaps (trig identities, complex number sequences). Analyze every wrong answer to identify the specific error type.

Five ACT Math question types worked in full

Pre-Algebra: ratio and proportion

Problem: A car travels 240 miles using 8 gallons of gas. How many gallons does it need to travel 420 miles at the same rate?

Setup: 240 miles / 8 gallons = 30 miles per gallon. 420 miles ÷ 30 mpg = 14 gallons. Alternatively: 240/8 = 420/x → x = 420 × 8 / 240 = 14.

Elementary Algebra: solving a linear equation

Problem: If 3x + 7 = 22, what is x?

Setup: 3x = 22 − 7 = 15 → x = 5. ACT trap: look for answer choices that include x = 22/3 (forgetting to subtract 7 first) or x = 9.67 (dividing 22 by 3 without isolating x).

Coordinate Geometry: slope from two points

Problem: What is the slope of the line through (2, 3) and (6, 11)?

Setup: Slope = (y₂ − y₁) / (x₂ − x₁) = (11 − 3) / (6 − 2) = 8/4 = 2. Trap: reversing the subtraction order (3−11)/(2−6) = −8/−4 = 2 also works, but mixing orders — (11−3)/(2−6) = 8/−4 = −2 — gives the wrong sign.

Plane Geometry: rectangle perimeter

Problem: A rectangle has perimeter 36 and length 12. What is the width?

Setup: Perimeter = 2(length + width) → 36 = 2(12 + w) → 18 = 12 + w → w = 6. Trap: dividing 36 by 4 (treating it as a square) gives w = 9.

Trigonometry: cosine from a right triangle

Problem: In a right triangle with hypotenuse 10 and adjacent side 6, what is cos θ?

Setup: cos θ = adjacent / hypotenuse = 6/10 = 0.6. Mnemonic: SOH-CAH-TOA. CAH: Cosine = Adjacent/Hypotenuse. Trap: students who confuse sin (opposite/hypotenuse) and cos would calculate 8/10 = 0.8 (the opposite side from Pythagorean theorem: √(10²−6²) = 8).

8-week ACT Math study plan by score band

• Below 20 (8 weeks): Weeks 1–4: Pre-Algebra and Elementary Algebra daily drills (20 problems/session). Weeks 5–6: Timed practice by topic. Weeks 7–8: Two full timed ACT Math sections per week with error review.
• 20–26 (8 weeks): Weeks 1–2: Coordinate Geometry (slope, distance, midpoint). Weeks 3–4: Plane Geometry (triangles, circles, area/volume). Weeks 5–6: Timed full sections. Weeks 7–8: Two full practice tests with category error tracking.
• 27–36 (8 weeks): Weeks 1–2: Intermediate Algebra (quadratics, systems) and Trigonometry. Weeks 3–4: Hard multi-step problems from official prep materials. Weeks 5–8: Full timed practice tests; zero tolerance for careless errors on Pre-Algebra and Elementary Algebra questions.

Official ACT practice materials are available at ACT.org official test preparation — start there before purchasing any third-party resource. For English section resources, see our guide to ACT English study resources.

For adaptive drilling that targets your exact weak topic areas with questions at your current difficulty level, SimpuTech's ACT AI tutor identifies where you are losing points and builds targeted practice sets. Start your free session at simputech.com.