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Syllabus: Mathematics for ACT | Mathematics for ACT PDF Download

The ACT consists of 4 tests (English, Math, Reading, and Science) and an optional Writing test (Essay). The duration of the ACT is 3 hours 35 minutes with the essay and 2 hours 55 minutes without the essay. There are two breaks in the test.

Syllabus: Mathematics for ACT | Mathematics for ACTOverview

  • The Math test is the second section of the ACT test. It evaluates the mathematical abilities that students have developed throughout their high school math coursework. 
  • Knowledge of basic formulas and computational skills can prove to be a great advantage on this test. 
  • This section of the ACT test checks your overall math aptitude and preparedness for an entry-level college course.

Syllabus: Mathematics for ACT | Mathematics for ACT

Detailed Syllabus

1. Essential Skills

  • This section contains complex problems like proportional relationships, rates, percentages, median, average, and expressing numbers in different ways.

2. Higher Mathematics

  • The higher mathematics section contains direct questions to test the candidate’s knowledge of formulas, concepts, and fundamental mathematical basics. The various topics in the higher mathematics section are:

Topic

Weightage

Questions

Topics

Pre-algebra

20 - 25%

14

number problems, divisibility, percentages, fractions, square roots, ratios, mean, median, mode, factors, primes, multiples, probability, place values, absolute values, exponents, series

Elementary algebra

15 - 20%

10

quadratic equations, substitution, simplifying expressions, linear equations, inequalities, multiplying binomials

Intermediate algebra

15 - 20%

9

logarithms, functions, equations, matrices, inequalities, sequences and patterns, complex numbers

Coordinate geometry

15 - 20%

9

surface area, volume, lines and angles, properties of circles, triangles, parallelograms, and other shapes

Plane geometry

20 - 25%

14

inequalities, distance and mid-points, slope calculation, line equation, conic sections.

Trigonometry

5 - 10%

4

trigonometric identities and graphs, graphing trigonometric functions, trigonometric equations

Tips for Mathematics Section

Using Calculators Wisely

  • All math problems can be solved without a calculator, and many are best tackled without one.
  • Use good judgment in deciding when to use a calculator. For some problems, it's helpful to do scratch work before resorting to calculations.

Problem-Solving Approach

  • Solve problems by working through them, usually starting with scratch work.
  • Glance over answer choices after reading the questions, but avoid working backwards from all five choices as it can be time-consuming.

Finding the Solution

  • Once solved, match your answer with the choices provided.
  • If your answer isn't among the choices, carefully review the problem for missed information or check if your chosen equation can be transformed into one of the provided choices.

Ensuring Completeness

  • Ensure your answer covers all necessary steps, as many questions involve multiple steps and intermediate results.

Reasonableness of Answers

  • Consider whether your answer is reasonable for the given situation, as computation errors may lead to impractical solutions.

Checking Answers

  • Before finishing the section, review questions and answers for common errors to ensure correctness.
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