There are very few trigonometry questions on the ACT Mathematics Test. The questions test the basic trigonometric ratios which are related to right triangles.

Plane Geometry questions test plane geometry concepts such as Properties and Relations of Plane Figures.

Plane figures include Triangles; Circles; Rectangles; Parallelograms; Trapezoids; Angles, Parallel Lines, and Perpendicular Lines; Perimeter, Area, and Volume.

The Coordinate Geometry (Cartesian Coordinate Plane) questions test coordinate geometry concepts such as Number Line Graphs; Equation of a Line; Slope; Parallel and Perpendicular Lines; and Distance and Midpoint Formulas.

The Intermediate Algebra (ninth or tenth grade level) questions test intermediate algebraic concepts such as Quadratic Formula; Radical and Rational Expressions; Inequalities and Absolute Value Equations; Sequences; Systems of Equations; Logarithms; Roots of Polynomials; and Matrices.

The Elementary Algebra (eighth or ninth grade level) questions test elementary algebraic concepts such as Functions; Polynomial Operations and Factoring Simple Quadratic Expressions; Linear Inequalities with One Variable; and Properties of Integer Exponents and Square Roots.

The Pre-Algebra (seventh or eighth-grade level) questions test basic algebraic concepts such as operations Using Whole Numbers, Fractions, and Decimals; Square Roots; Exponents; Scientific Notation; Ratios, Proportions, and Percent; Linear Equations with One Variable; Absolute Value; and Simple Probability.

The mathematics test is a 60-question, 60-minute test designed to assess the mathematical skills students have typically acquired in courses taken up to the beginning of grade 12. Most questions are self-contained. Some questions may belong to a set of several questions. 

A ramp for loading trucks is 13 feet long and covers 12 feet along the level ground, as shown below. How many feet high is the highest point on the ramp?

1. 1
2. 2
3. 4
4. 5
5. 6 1/4

Two workers were hired to begin work at the same time. Worker A’s contract called for a starting salary of $20,000 with an increase of $800 after each year of employment. Worker B’s contract called for a starting salary of $15,200 with an increase of $2,000 after each year of employment. If x represents the number of full years’ employment (that is, the number of yearly increases each worker has received), which of the following equations could be solved to determine the number of years until B’s yearly salary equals A’s yearly salary?

1. 20,000 + 800x = 15,200 + 2,000x
2. 20,000 + 2,000x = 15,200 + 800x
3. (20,000 + 800)x = (15,200 + 2,000)x
4. (2,000 + 800)x = 20,000 - 15,200
5. (2,000 - 800)x = 20,000 + 15,200

A square is circumscribed about a circle of 7-foot radius, as shown below. What is the area of the square, in square feet?

1. 49
2. 56
3. 98
4. 49π
5. 196

One of the following is an equation of the linear relation shown in the standard (x,y) coordinate plane below. Which equation is it?

1. y = 5x
2. y = 2x
3. y = 5x + 2
4. y = 2x - 5
5. y = 2x + 5

A certain computer performs 1.5 × 10⁸ calculations per second. How many seconds would it take this computer to perform 6.0 × 10¹⁶ calculations?

1. 2.5 × 10^-9
2. 9.0 × 10⁰
3. 4.0 × 10²
4. 4.0 × 10⁸
5. 9.0 × 10²⁴

Hai has $100 available to buy USB drives to back up data for his business computers. Each USB drive has a price of $8, and Hai will pay a sales tax of 7% of the total price of the USB drives. What is the maximum number of USB drives Hai can buy?

1. 11
2. 12
3. 13
4. 14
5. 15

The 8-sided figure below is divided into 5 congruent squares. The total area of the 5 squares is 125 square inches. What is the perimeter, in inches, of the figure?

1. 25
2. 60
3. 80
4. 100
5. 125

While doing a problem on his calculator, Tom meant to divide a number by 2, but instead he accidentally multiplied the number by 2. Which of the following calculations could Tom then do to the result on the calculator screen to obtain the result he originally wanted?

1. Subtract the original number
2. Multiply by 2
3. Multiply by 4
4. Divide by 2
5. Divide by 4

What is the least common multiple of 30, 20, and 70 ?

1. 40
2. 42 
3. 120 
4. 420 
5. 42,000

If f(x) = 9x² + 5x - 8, then f(-2) = ?

1. -54
2. -18
3. 18
4. 36
5. 38

In the figure below, A, D, C, and E are collinear. AD, BD, and BC are all the same length, and the angle measure of ∠ABD is as marked. What is the degree measure of ∠BCE ?

1. 50°
2. 100°
3. 105°
4. 130°
5. 160°

If 12(x - 11) = -15, then x = ?

1. -49/4
2. -13/6
3. -5/4
4. -1/3
5. 39/4

Mark and Juanita own a sandwich shop. They offer 3 kinds of bread, 5 kinds of meat, and 3 kinds of cheese. Each type of sandwich has a combination of exactly 3 ingredients: 1 bread, 1 meat, and 1 cheese. How many types of sandwiches are possible?

1. 11
2. 15
3. 30
4. 45
5. 120

Tickets for a community theater production cost $6 each when bought in advance and $8 each when bought at the door. The theater group’s goal is at least $2,000 in ticket sales for opening night. The theater group sold 142 opening-night tickets in advance. What is the minimum number of tickets they need to sell at the door on opening night to make their goal?

1. 143
2. 144
3. 192
4. 250
5. 357

What is the value of the expression √[m/(x - 3)] when x = -1 and m = -16 ?

1. -2 
2. 2
3. 2√2
4. 2i
5. 2i√2

Consider the 3 statements below to be true.

1. All insects that are attracted to honey are ants.
2. Insect I is not an ant.
3. Insect J is attracted to honey.

Which of the following statements is necessarily true?

1. Insect I is an ant not attracted to honey.
2. Insect I is an ant attracted to honey.
3. Insect I is attracted to honey.
4. Insect J is not attracted to honey.
5. Insect J is an ant.

Kaya ran 1 2/5 miles on Monday and 2 1/3 miles on Tuesday. What was the total distance, in miles, Kaya ran during those 2 days?

1. 3 2/15
2. 3 3/8
3. 3 2/5
4. 3 7/15
5. 3 11/15