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ACT ACT-Math Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Topic 1: Integrating Essential Skills | 40–43% | - Rates, averages, and unit conversion - Multi-step arithmetic and pre-algebra - Problem-solving in real-world contexts - Logical reasoning and estimation |
| Topic 2: Modeling | Integrated throughout | - Apply models across all content domains - Create and interpret mathematical models - Refine and evaluate model solutions |
| Topic 3: Preparing for Higher Math | 57–60% | - Statistics & Probability
|
ACT American College Testing: Math Section Sample Questions:
For what value of x is the equation 22x + 7 = 215 true?
- A. 44
- B. 2
- C. 11
- D. 4
- E. 16
Correct Answer: D 🗳️
What is the tenth term of the sequence: 5, 15, 45, 135, ... ?
- A. (5 × 3) 9
- B. 5 × 3 10
- C.

- D. 5 10
- E. 5 × 3 9
Correct Answer: E 🗳️
A spinner is divided into eight equal regions, labeled one through eight.
If Jenna spins the wheel, what is the probability that she will spin a number that is less than four and greater than two?
- A. 9/32
- B. 1/8
- C. 1/2
- D. 3/8
- E. 3/4
Correct Answer: B 🗳️
FILL BLANK
The function
. If j(k) = -8 when j = -3, what is the value of k ?
Correct Answer:
6
The diagonal of one face of a cube measures 4√2 in.
What is the volume of the cube?
- A. 192 in 3
- B. 96 in 3
- C. 24√2 in 3
- D. 128√2 in 3
- E. 64 in 3
Correct Answer: E 🗳️




