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ACT ACT-Math Exam Syllabus Topics:

ACT American College Testing: Math Section Sample Questions:

1. The graph of a function y = f ( x ) consists of 3 line segments.
The graph and the coordinates of the endpoints of the 3 line segments are shown in the standard ( x , y ) coordinate plane below.

What is the area, in square coordinate units, of the region bounded by the graph of y = f ( x ), the positive y -axis, and the positive x -axis?

A) 13
B) 14
C) 10
D) 20
E) 15

2. The fluctuation of water depth at a pier is shown in the figure below.

One of the following values gives the positive difference, in feet, between the greatest water depth and the least water depth shown in this graph.
Which value is it?

A) 3
B) 9
C) 6
D) 12
E) 19

3. The number 1,001 is the product of the prime numbers 7, 11, and 13. Knowing this, what is the prime factorization of 30,030?

A) 3 · 7 · 10 · 11 · 13
B) 2 · 3 · 5 · 7 · 11 · 13
C) 2 · 5 · 7 · 11 · 13
D) 3 · 7 · 10 · 13
E) 30 · 7 · 11 · 13

4. A car departs Little Rock, Ark., traveling to a baseball game located nine miles east and 12 miles north of the departure point. About how many miles is the game from the departure point?

A) 3
B) 63
C) 21
D) 15

5. In the diagram above of f(x), for how many values does f(x) = -1?

A) 3
B) 4
C) 0
D) 1
E) 2

Solutions: