SAT & ACT Prep · ACT

ACT Math Practice Test

ACT Math covers number and quantity, algebra, functions, geometry, and statistics and probability (together about 80% of the section), plus about 20% Integrating Essential Skills: rates, percentages, proportions, area and averages used in multi-step problems. Every question has four answer choices.

Questions:
45 multiple choice
Time:
50 minutes (optional timer)
Answers:
Every one explained
Cost:
Free, no sign-up

On the real exam you have 50 minutes for 45 questions. Start the timer to practise at exam pace.

Question 1 of 45 · 0 answered

Question 1

Topic 2.1 · Concept check

For i = √−1, what is the product (3 + 2i)(1 − i)?

How sure are you?

Jump to a question

You can change any answer before submitting.

What the ACT Math section covers

  • Number and Quantity
  • Algebra
  • Functions
  • Geometry
  • Statistics and Probability
  • Integrating Essential Skills

Wide, not deep

ACT Math covers many topics, each a little. Knowing the basic formula for each topic matters more than mastering one topic deeply.

Memorize the formulas

Unlike the SAT, the ACT doesn't give you a formula sheet. Know area and volume formulas, the Pythagorean theorem, slope and distance, and SOH CAH TOA.

Use the answer choices

With four choices, you can often check answers by substituting them into the equation or by estimating.

Pace yourself

50 minutes for 45 questions is just over a minute each. Earlier questions tend to be quicker, so bank time there for harder problems later.

Common mistakes

  • Answering for x when the question asks for something else, such as 2x or the perimeter.
  • Mixing up the formulas for area and circumference of a circle.
  • Forgetting that a percent decrease followed by the same percent increase doesn't return to the start.

How to study this section

  • Make a one-page formula sheet from memory each week and check it.
  • Time yourself on sets of 10 questions to build a feel for pace.

More ACT practice

Original StudyCoach questions in the style of the digital test; every answer key was checked by a separate AI review. ACT® is a registered trademark of ACT Education Corp., which is not affiliated with, and does not endorse, StudyCoach.