Learn with ACT : ACT-Math training material for 100% pass
Last Updated: Aug 27, 2026
No. of Questions: 280 Questions & Answers with Testing Engine
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ACT ACT-Math Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Geometry | 20% | - Triangles (including right triangles) - Coordinate geometry - 3D shapes and volume - Trigonometry (sine, cosine, tangent) - Lines, angles, and planes - Circles and circular sectors - Quilaterals and polygons |
| Functions | 20% | - Function transformations - Exponential and logarithmic functions - Modeling with functions - Function definition and notation - Linear, quadratic, and polynomial functions |
| Statistics & Probability | 15% | - Data collection and representation - Probability calculations - Measures of center and spread - Bivariate data and scatterplots - Statistical inference |
| Integrating Essential Skills | 20% | - Combining multiple skills in complex problems - Rates, percentages, and proportional relationships - Area, surface area, and volume calculations - Average and median calculations |
| Number & Quantity | 12% | - Integer and rational exponents - Quantities and units - Real and complex number systems - Vectors and matrices |
| Algebra | 20% | - Exponential relationships - Rational and radical equations - Linear equations and inequalities - Quadratic equations and inequalities - Systems of equations |
ACT American College Testing: Math Section Sample Questions:
1. In parallelogram ABCD below,
is a diagonal, the measure of
is 40°, and the
measure of
is
57°.
What is the measure of
?
A) 57°
B) 83°
C) 40°
D) 77°
E) 97°
2. If 4x + 5 = 15, then 10x + 5 =:
A) 30.
B) 22.5.
C) 15.
D) 25.
E) 2.5.
3. Melissa runs the 50-yard dash five times, with times of 5.4 seconds, 5.6 seconds, 5.4 seconds, 6.3 seconds, and 5.3 seconds.
If she runs a sixth dash, which of the following would change the mean and mode of her scores, but not the median?
A) 5.3 seconds
B) 6.3 seconds
C) 5.6 seconds
D) 5.4 seconds
E) 5.5 seconds
4. Given a positive integer n such that i n = 1, which of the following statements about n must be true? (Note: i 2 = -1)
A) When n is divided by 4, the remainder is 3.
B) When n is divided by 4, the remainder is 1.
C) Cannot be determined from the given information.
D) When n is divided by 4, the remainder is 0.
E) When n is divided by 4, the remainder is 2.
5. The average of 5 distinct scores has the same value as the median of the 5 scores. The sum of the 5 scores is 420.
What is the sum of the 4 scores that are NOT the median?
A) 336
B) 360
C) 315
D) 320
E) 350
Solutions:
| Question # 1 Answer: B | Question # 2 Answer: A | Question # 3 Answer: A | Question # 4 Answer: D | Question # 5 Answer: A |
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