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ACT ACT-Math Exam Syllabus Topics:

Section

Weight

Objectives

Topic 1: Integrating Essential Skills

40–43%

- Problem-solving in real-world contexts
- Logical reasoning and estimation
- Rates, averages, and unit conversion
- Multi-step arithmetic and pre-algebra

Topic 2: Modeling

Integrated throughout

- Create and interpret mathematical models
- Apply models across all content domains
- Refine and evaluate model solutions

Topic 3: Preparing for Higher Math

57–60%

- Functions

1. Domain and range analysis
2. Linear, radical, polynomial, and logarithmic functions
3. Function definition and notation
4. Graph interpretation and transformation

- Geometry

1. Surface area, volume, and trigonometric ratios
2. Plane and coordinate geometry
3. Triangles, circles, and polygons
4. Congruence, similarity, and measurement

- Number & Quantity

1. Ratios, proportions, and percentages
2. Real and complex number systems
3. Vectors and matrices
4. Integer and rational exponents

- Algebra

1. Quadratic expressions and functions
2. Linear, polynomial, radical, and exponential equations
3. Systems of equations and inequalities
4. Modeling algebraic relationships

- Statistics & Probability

1. Basic statistical modeling
2. Measures of central tendency and spread
3. Counting techniques and probability rules
4. Data representation and interpretation

ACT American College Testing: Math Section Sample Questions:

Question #1

A 12-piece chicken meal is ordered at a local KFC, but the family ordering has decided it will give the four chicken breasts included to a homeless person.
What are the chances one of the remaining pieces is a drumstick?

A. 1/16
B. 1/12
C. 1/8
D. 1/10

Reveal Solution Discussion 0

Correct Answer: C 🗳️

Question #2

The Smith family is planning to build a 3-room cabin which consists of 2 bedrooms (BR) and 1 living room (LR). Shown below are the rectangular floor plan (left figure) and a side view of the cabin (right figure). In the side view, the roof forms an isosceles triangle ( ΔABC ), the walls are perpendicular to the level floor (

),

, F is the midpoint of

, and

.

During the week the Smiths plan to roof the cabin, there is 20% chance of rain each day.
Mrs. Smith will install a ceiling fan in each room of the cabin and will place curtains over the 4 windows. Each of the ceiling fans has a price of $52.00. The price of curtains for each small window (S) is $39.50, and the price of curtains for the large window (L) is twice that for the small window.
Based on this information, which of the following values is closest to the total price Mrs. Smith will pay for curtains and ceiling fans?