50 ACT Math Formulas You Need to Know Numbers and Quantities 1. Arithmetic Sequences an = a1 + (n − 1)d This formula defines a sequence of numbers where the difference between each consecutive term is the same. The first term of the sequence is a1, the nth term of the sequence is an, and the constant difference between…
Overview of the ACT Math Section 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…
ACT has announced that a new version of the ACT test (the Core ACT) would be released in April 2025, and the current ACT test (the Classic ACT) would be phased out over the course of 2025. The first official Core ACT practice test has been released. Although it’s hard to draw concrete conclusions from a…
Things to Do With the Questions Simplify Sometimes an equation will be given in an unsimplified form. If a formula is given unsimplified, the first thing to do is to simplify it. The question is not written that way by accident, it’s done to make the problem seem more challenging or harder to solve. Once it’s…
A step function is a function that includes a series of horizontal lines, which jump from one to the other at regular intervals. Here is an example question from the 2017 ACT: For ABC cabs, the price of a taxi fare jumps $2 each time the fare reaches a new whole number value. This means…
The ACT sometimes likes to include questions that involve 3D objects that have a number of faces on the object. The faces on the object will be common geometric shapes such as triangles, squares, or occasionally more complex shapes such as hexagons. Key things to remember for faces on 3D figure questions are: Here is…
Factorials express a product of multiple consecutive integers starting at 1. Factorials look like an exclamation point, which is placed next to either a variable or a whole number. However, even when placed next to a variable it still indicates a whole number reached by multiplying that variable by all of the integers before that…