About ACT ACT-Math Exam guide

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ACT ACT-Math Exam Syllabus Topics:

Section

Weight

Objectives

Preparing for Higher Math

57–60%

- Functions

1. Domain and range
2. Linear, quadratic, and piecewise functions
3. Function notation and evaluation

- Geometry

1. Transformations and symmetry
2. Coordinate geometry
3. Plane geometry (triangles, circles, polygons)

- Statistics & Probability

1. Data interpretation
2. Descriptive statistics (mean, median, mode)
3. Probability fundamentals

- Algebra

1. Polynomials and factoring
2. Quadratic expressions and functions
3. Linear equations and inequalities

- Number & Quantity

1. Vectors and matrices (basic concepts)
2. Real and complex number systems

Integrating Essential Skills

40–43%

- Graphical Interpretation

1. Reading and analyzing graphs and charts

- Problem Solving

1. Multi-step word problems
2. Applied reasoning with arithmetic and algebra

- Mathematical Modeling

1. Interpreting algebraic and graphical representations
2. Translating real-world problems into equations

ACT American College Testing: Math Section Sample Questions:

1. Gil drives five times farther in 40 minutes than Warrick drives in 30 minutes.
If Gil drives 45 miles per hour, how fast does Warrick drive?

A) 1 2 mph
B) 6 mph
C) 30 mph
D) 9 mph
E) 15 mph

2. 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) 504
B) 27
C) 168
D) 56
E) 84

3. In the standard (x, y) coordinate plane, what is the midpoint of the line segment that has endpoints (3, 8) and (1, -4)?

A) (4, -12)
B) (-2, -12)
C) (2, 2)
D) (11/2, -3/2)
E) (-1, -6)

4. A room has a rectangular floor that is 15 feet by 21 feet.
What is the area of the floor in square yards?

A) 35
B) 24
C) 105
D) 36
E) 144

5. Which of the following has a vertex of (4, -4)?

A) y = 5(x - 4) 2 - 4
B) y = 5(x + 4) 2 - 4
C) y = 5(x + 4) 2 + 4
D) y = 5(x - 4) 2 + 4

Solutions:

Question # 1
Answer: A

Question # 2
Answer: E

Question # 3
Answer: C

Question # 4
Answer: A