MORE INFO

The ACT Math test consists of 60 questions that must be answered within the 60-minute time limit. All of the math questions are five-choice, multiple-choice questions. These questions draw from six areas of math that most students have covered by the end of their 11th grade year: pre-algebra, elementary algebra, intermediate algebra, coordinate geometry, plane geometry, and trigonometry. Below you can find more detailed information about the specific skills these questions test, as well as sample ACT Math questions and answer explanations.

**ACT Math Test Question Types**

Math Questions (Total of 60 questions) | ||
---|---|---|

Math Area | Examples | # of Questions |

Pre-Algebra |
whole numbers, fractions, decimals, and integers; positive integer powers and square roots; ratio, proportion, and percent; multiples and factors; absolute value; one variable, linear equations; probability and counting problems; data interpretation; and mean, median, and mode |
14 questions |

Elementary Algebra |
variables, polynomials, factoring, quadratic equations, linear inequalities, integer exponents, and square roots |
10 questions |

Intermediate Algebra |
quadratic formula, radical and rational expressions, inequalities, absolute value, sequences, systems of equations, quadratic inequalities, functions, matrices, polynomial roots, and complex numbers |
9 questions |

Coordinate Geometry |
number line graphs; graphs of points, lines, polynomials, circles, and other curves; relationships between equations and graphs; slope; properties of parallel and perpendicular lines; distance formula; midpoint formula; transformations; and conics |
9 questions |

Plane Geometry |
plane figures (triangles, rectangles, parallelograms, trapezoids, circles); angles; parallel lines; perpendicular lines; translations, reflections, and rotations; 3-D geometry; perimeter, area, and volume; and logical reasoning and proofs |
14 questions |

Trigonometry |
right triangle trigonometric ratios; trigonometric functions, identities, and equations; and trigonometric functions modeling |
4 questions |

**Sample ACT Math Test Questions**

To give you a better feel for the format and content of the ACT Math test, let's take a look at a few sample ACT Math questions.

*Pre-Algebra Question: Mean, Median, and Mode*

70, 80, 50, 20, 80, 30, 80

Seven students took an art history exam. Their scores are listed above. Which of the following statements regarding the scores is true?

I. The average (arithmetic mean) is greater than 70.

II. The mode is greater than 70.

III. The median is greater than 70.

A. |
None |

B. |
II only |

C. |
I and II only |

D. |
II and III only |

E. |
I, II, and III |

** Answer: **First, find the average (arithmetic mean) of the test scores. Mean = (70 + 80 + 50 + 20 + 80 + 30 + 80)/7 = 58.57. 58.57 is not greater than 70. Therefore, item I. is not true, and we can eliminate choices C and E. Second, find the median of the test scores. To do so, put the test scores in ascending or descending order: 20, 30, 50, 70, 80, 80, 80. The median (the number in the middle) is 70. Therefore, item III. is not true, and we can eliminate choice D. Third, find the mode of the test scores (the number that appears most frequently): 80. Therefore, item II. is true. Choice B is the correct answer.

*Plane Geometry Question: Plane Figures and Angles*

If line *m* intersects the square as shown, what must the value of *x* + *y* be?

A. |
45 |

B. |
75 |

C. |
85 |

D. |
90 |

E. |
180 |

** Answer: **The sides of a square are parallel, so line

For additional ACT Math test sample questions, visit the ACT website.

**Related Topics**

- For information about the ACT English section, visit our ACT English page.
- For information about the ACT Reading section, visit our ACT Reading page.
- For information about the ACT Science section, visit our ACT Science page.
- For information about the ACT Writing section, visit our ACT Writing page.

StudyPoint is a national leader in one-to-one, in-home test prep and academic tutoring. The test-taking techniques and strategies taught in our SAT tutoring and ACT tutoring programs enable students to earn higher test scores and gain admissions to competitive colleges and universities. Our expert subject tutors and personalized lesson plans help students earn better grades and become happier, more confident students. Whether you're looking for a math tutor, or any other type of academic tutoring, StudyPoint can help. To learn about tutoring programs in your area, feel free to contact us for more information.

StudyPoint offers private, in-home SAT, PSAT, ACT & SSAT tutoring. Our staff also includes expert math, science, foreign language, and writing tutors.

LEARN MOREOur newsletter is designed to offer you grade- and season- specific information that will help you navigate and stay on top of the college admissions process. We need high school graduation year to provide you with timely, relevant information. You can unsubscribe at any time.

© 1999 - 2017 StudyPoint, Inc. All Rights Reserved.

SAT® is a registered trademark of the College Board, which was not involved in the production of, and does not endorse this product. ACT® is the registered trademark of ACT, Inc. StudyPoint has no affiliation with ACT, Inc., which was not involved in the production of, and does not endorse this product. PSAT/NMSQT® is a trademark jointly owned by the College Board and the National Merit Scholarship Corporation, which were not involved in the production of, and do not endorse this product. All test names and other trademarks are the property of the respective trademark holders. None of the trademark holders are affiliated with StudyPoint or this website.