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ACT ACT-Math Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Topic 1: Integrating Essential Skills | 40–43% | - Logical reasoning and estimation - Problem-solving in real-world contexts - Multi-step arithmetic and pre-algebra - Rates, averages, and unit conversion |
| Topic 2: Preparing for Higher Math | 57–60% | - Statistics & Probability
|
| Topic 3: Modeling | Integrated throughout | - Apply models across all content domains - Create and interpret mathematical models - Refine and evaluate model solutions |
ACT American College Testing: Math Section Sample Questions:
Which of the following number pairs is in the ratio 4:5?
- A. 4/5, 5/4
- B. 1/5, 4/5
- C. 1, 4/5
- D. 1/5, 1/4
- E. 1/4, 1/5
Correct Answer: D 🗳️
The expression 9 × ( x - 3) + 2 × (4 x + 4) is equivalent to:
- A. x - 19
- B. (x - 19) / 17
- C. x - 17
- D. 17x - 19
Correct Answer: D 🗳️
Which of the following expressions is a factor of x3 - 64?
- A. x - 4
- B. x + 64
- C. x 2 + 16
- D. x + 4
- E. x 2 - 4x + 16
Correct Answer: A 🗳️
The length of a rectangle is 5 inches longer than the width. The perimeter of the rectangle is 40 inches.
What is the width of the rectangle, in inches?
- A. 7.5
- B. 15
- C. 8
- D. 17.5
- E. 16
Correct Answer: A 🗳️
FILL BLANK
Matt weighs 3/5 of Paul's weight. If Matt were to gain 4.8 pounds, he would weigh 2/3 of Paul's weight.
What is Matt's weight in pounds?
Correct Answer:
43.2





