The ACT Math Test assesses the mathematical skills students are expected to obtain before grade 12 (meaning through advanced algebra and basic trigonometry, but not calculus).
What to Know:
It’s the second section of the ACT
You have a 60-minute time limit
You will face 60 multiple choice questions
You get to use a calculator for the whole test (but it must be an approved one)
What to Study:
Geometry formulas for the area, volume, and surface area of basic shapes (unlike the SAT, the ACT won’t give you these!)
Multiple-choice math test strategies such as “backsolving” the problem using the answer choices, substituting in numbers, and estimating.
decimals, fractions, integers, positive and negative numbers, square roots, scientific notation, factors, ratios, proportions, percents, charts and graphs of statistics
exponents, evaluating algebraic expressions through substitution, using variables to express relationships, algebraic operations, and factoring quadratic equations
quadratic formula, rational and radical expressions, absolute value equations and inequalities, sequences and series, systems of equations, quadratic inequalities, functions, matrices, roots of polynomials, probability, and complex numbers
evaluating points and lines on a graph, polynomials, circles and other curves, graphing inequalities, slope, parallel and perpendicular lines, distance, midpoints, and conics
angles and relationships among perpendicular and parallel lines, properties of circles, ellipses, rectangles, triangles, parallelograms, trapezoids, transformations, area, volume, three-dimensional geometry
Trigonometry (on a very basic level)
trigonometric relations in right angles, values and properties of trig functions, graphing trig functions, using trig identities, solving trig equations
What Not to Study:
Trigonometry beyond the very basics. However, you should know:
how to solve right triangles
the unit circle
tan θ = sin θ / cos θ
sin^2 θ + cos^2 θ = 1
what sine, cosine, and tangent graphs look like
Where to Start:
Right here! First, read How to Get a Perfect 36 on ACT Math: The Jurassic Guide, which will guide you through all the basics (if you’re a beginner) and how to improve your score (if you’ve already taken the test). There’s a lot to know, and we are here to help! On this page, you will find math review lessons for all of the content tested on the ACT as well as test-specific strategies to help you find answers quickly and efficiently so you can get your best score.
The total cost to rent a tour bus for a day is the same for any party over fifteen. If the cost is $720 for a group of sixteen, how much less would a group of twenty-four riders have to pay per person than a group of sixteen?