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ACT Math — ACT practice for the ACT Math credential
ACT Math is the ACT Math credential. ACT writes the outline; a fail is another sitting fee and a delayed start, not a school-curve disappointment. Related CoStudy banks (sat_math, sat_reading_writing, act_verbal) test different sittings — using one as a stand-in for ACT Math is how people fail the appointment they paid for.
CoStudy’s ACT Math bank holds 80 multiple-choice questions and 250 flashcards. The published material this bank is written against begins: ACT Math content categories: Pre-Algebra; Elementary Algebra; Intermediate Algebra; Coordinate Geometry; Plane Geometry; Trigonometry (60 questions, 60 minutes) Every multiple-choice item on this page shows the full rationale in the HTML. CoStudy is not ACT. We do not have live items, and we do not guarantee a result.
- 330 total items
- 80 multiple choice
- 250 flashcards
Exam facts
Copied from the cited official page on the date shown. Rows marked unverified were not confirmed on that pass — check the certifying body before you pay or schedule. CoStudy is not the exam owner.
| Fact | Detail | Source |
|---|---|---|
| What it is | ACT Math is administered under ACT. CoStudy is independent practice, not the exam owner. | ACT's test descriptions · as of 2026-10 |
| Published outline | ACT Math content categories: Pre-Algebra; Elementary Algebra; Intermediate Algebra; Coordinate Geometry; Plane Geometry; Trigonometry (60 questions, 60 minutes) | ACT's test descriptions · as of 2026-10 |
| Passing score / pass rate | Only the certifying body publishes a cut score or pass rate. This page does not invent one. (unverified) | ACT's test descriptions · as of 2026-10 |
| Fees and eligibility | Application, sitting, and retake rules live on ACT’s site and can change. Confirm there before you pay. | ACT's test descriptions · as of 2026-10 |
How this bank is different
- ACT Math is one SAT or ACT section, not the whole admissions sitting.
- Pacing is part of the exam. Untimed glossary work will not show you where the clock goes.
- SAT and ACT are different tests with different timing. Do not drill them as one pile.
Exam format and blueprint
ACT Math content categories: Pre-Algebra; Elementary Algebra; Intermediate Algebra; Coordinate Geometry; Plane Geometry; Trigonometry (60 questions, 60 minutes)
Study timeline
Rotate mixed sets so one topic cannot hide. A blended percentage hides the chapter that will fail you.
Six-week ACT Math block — 10–14 hours/week
Weeks 1–4: mixed practice with an error log. Week 5: only the item types you miss. Week 6: timed full-length sittings. Do not add a second exam’s outline in the last ten days.
Twelve-week working-hours plan — 6–8 hours/week
Two or three evenings and one weekend block. Keep a written error log keyed to chapters, not to “I was tired.” The last fourteen days are timing and weak-chapter repair only. If you are also sitting a related exam (sat_math), do not merge the decks.
Free ACT Math practice questions
A sample of 8 multiple-choice questions from the bank, with the full rationale shown.
30-60-90 right triangle has side ratios:
- 1 : 1 : √2
- 1 : 2 : 3
- 1 : √3 : 2 (shortest leg : longer leg : hypotenuse)
- 3 : 4 : 5
Answer: C — 1 : √3 : 2 (shortest leg : longer leg : hypotenuse)
30-60-90: 1 : √3 : 2. 45-45-90: 1 : 1 : √2 (isoceles right). Memorize both; ACT tests heavily. 3-4-5 and 5-12-13: Pythagorean triples — useful for shortcuts.
If 30% of a number is 24, what is the number?
- 40
- 60
- 72
- 80
Answer: D — 80
Set 0.30 × N = 24, so N = 24 / 0.30 = 80. Quick mental math: 24 ÷ 0.3 = 24 × (10/3) = 80.
Equation of line through (0, 2) with slope 3:
- y = 3x + 2 (slope-intercept form: y = mx + b)
- y = 2x + 3
- y = 3x − 2
- 3y = x + 2
Answer: A — y = 3x + 2 (slope-intercept form: y = mx + b)
Slope-intercept: y = mx + b. m = 3, b = 2 (y-intercept). Point-slope alternative: y − 2 = 3(x − 0). General form: ax + by = c.
Express 0.0001275 in scientific notation:
- 1.275 × 10⁻³
- 12.75 × 10⁻⁴
- 1.275 × 10⁻⁴
- 1.275 × 10⁴
Answer: C — 1.275 × 10⁻⁴
C) Move the decimal 4 places right; coefficient between 1 and 10. A) Wrong exponent. B) Coefficient must be < 10. D) Wrong sign on exponent.
The interior angles of a regular hexagon sum to:
- 360°
- 540°
- 720°
- 900°
Answer: C — 720°
Sum of interior angles = (n − 2) × 180°. For hexagon (n = 6): (6 − 2)(180) = 4 × 180 = 720°. Each interior angle = 720/6 = 120°.
If f(x) = 2x² − 3, then f(−2) =
- −11
- −5
- 11
- 5 (2(4) − 3 = 8 − 3)
Answer: D — 5 (2(4) − 3 = 8 − 3)
Substitute x = −2: f(−2) = 2(−2)² − 3 = 2(4) − 3 = 5. Note (−2)² = +4 (parens square the negative). Functions notation: f(input) → output.
Solve the system: 2x + 3y = 12 and x − y = 1.
- x = 3, y = 2
- x = 1, y = 0
- x = 5, y = 4
- x = 0, y = 4
Answer: A — x = 3, y = 2
From eq 2: x = y + 1. Substitute: 2(y + 1) + 3y = 12 → 5y + 2 = 12 → y = 2. Then x = 3. Verify: 2(3) + 3(2) = 12 ✓ and 3 − 2 = 1 ✓.
Solve: 3(x − 2) = 2x + 1
- x = 5
- x = 3
- x = 7 (3x − 6 = 2x + 1 → x = 7)
- x = −7
Answer: C — x = 7 (3x − 6 = 2x + 1 → x = 7)
Distribute: 3x − 6 = 2x + 1. Subtract 2x: x − 6 = 1. Add 6: x = 7. Check: 3(7−2) = 15; 2(7)+1 = 15 ✓.
ACT Math flashcards
6 sample cards from the 250 in the bank.
Perimeter of rectangle?
2(L + W).
Item $80 with 25% off. Sale price?
$80 × 0.75 = $60.
Composition: f(g(x)) when f(x) = x+2, g(x) = 3x?
f(3x) = 3x + 2.
Discriminant < 0 means?
Two complex/imaginary solutions; no real.
Standard parabola: y = x². Vertex form: y = (x-h)² + k.
Use to graph any parabola.
Right triangle: angle 45°, leg 7. Hypotenuse?
7√2.
Practise the full ACT Math bank
These samples are a small slice. The full bank runs flashcards, multiple choice and timed mock exams with per-chapter progress tracking, on the web and in the iOS app.
Frequently asked
What is the ACT Math exam?
ACT Math content categories: Pre-Algebra; Elementary Algebra; Intermediate Algebra; Coordinate Geometry; Plane Geometry; Trigonometry (60 questions, 60 minutes)
How is CoStudy’s ACT Math bank organised?
It holds 330 items (80 multiple-choice, 250 flashcards). Free samples on this page include the full rationale, with no account.
Should I study ACT Math and sat math as one pile?
No. ACT Math is its own sitting. Related banks on CoStudy (sat_math, sat_reading_writing, act_verbal) exist because candidates confuse neighbouring credentials. Use the outline for the exam on your voucher.
Where do ACT Math fees, cut scores, and pass rates live?
On ACT’s published pages — start at ACT's test descriptions. This page quotes a number only when we retrieved it from an official URL, and otherwise says unverified. Prep blogs that tabulate every exam’s price are often stale.
Are these real ACT Math exam questions?
No. CoStudy does not have live items. The samples below are original practice written to the published outline, with rationales. Anyone selling “real exam dumps” is describing something you should not buy.
Primary source
This bank is written against ACT's published exam material. Check ACT's test descriptions for the current outline, fees and eligibility rules — those change, and the certifying body is the only authority on them. CoStudy is not affiliated with ACT.
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