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ACT ACT-Math Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Topic 1: Integrating Essential Skills | 40–43% | - Multi-step arithmetic and pre-algebra - Logical reasoning and estimation - Rates, averages, and unit conversion - Problem-solving in real-world contexts |
| Topic 2: Preparing for Higher Math | 57–60% | - Algebra
|
| 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:
Question 1
What is the difference between 1.8 and
? (Note: A bar indicates a digit pattern that is repeated.)
A.
B.
C.
D.
E. 
Question 2
The expression
can be reduced to:
A. x + 5.
B.
C.
D. 1.
E. 
Question 3
Greg has nine paintings. The Hickory Museum has enough space to display three of them.
From how many different sets of three paintings does Greg have to choose?
A. 56
B. 84
C. 27
D. 504
E. 168
Question 4
The length of a rectangle is one greater than three times its width. If the perimeter of the rectangle is 26 feet, what is the area of the rectangle?
A. 100 ft 2
B. 78 ft 2
C. 30 ft 2
D. 13 ft 2
E. 24 ft 2
Question 5
The sum of 2 positive numbers is 151. The lesser number is 19 more than the square root of the greater number.
What is the value of the greater number minus the lesser number?
A. 91
B. 121
C. 19
D. 66
E. 85
Solutions:
| Question 1 Answer: D | Question 2 Answer: B | Question 3 Answer: B | Question 4 Answer: C | Question 5 Answer: A |
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