ACT Sample Questions ›› Mathematics

ACT Sample Questions : Mathematics

The ACT Mathematics sample questions contains questions on the following topics:

• Pre-Algebra
• Elementary Algebra
• Intermediate Algebra
• Coordinate Geometry
• Plane Geometry
• Trigonometry

Some ACT mathematics sample questions are given below:

1. Which of the following is equivalent to (x)(x)(x)(x), for all x ?
   1. 4x
   2. x4
   3. x + 4
   4. 4 x
   5. 2x2

   Answer: B

2. A rectangle is twice as long as it is wide. If the width of the rectangle is 3 inches, what is the rectangle's area, in square inches?
   1. 6
   2. 9
   3. 12
   4. 15
   5. 18

   Answer: E

3. How many solutions are there to the equation x2 - 15 = 0 ?
   1. 0
   2. 1
   3. 2
   4. 4
   5. 15

   Answer: C

4. A circle with center (-3,4) is tangent to the x-axis in the standard (x,y) coordinate plane. What is the radius of this circle?
   1. 3
   2. 4
   3. 5
   4. 9
   5. 16

   Answer: B

5. Which of the following is divisible by 3 (with no remainder)?
   1. 2,725
   2. 4,210
   3. 4,482
   4. 6,203
   5. 8,105

   Answer: C

6. A particle travels 1 * 10 ⁸ centimeters per second in a straight line for 4 * 10 ^-6 seconds. How many centimeters has it traveled?
   1. 2.5 * 10²
   2. 2.5 * 10¹³
   3. 4 * 10²
   4. 4 * 10^-14
   5. 4 * 10^-48

   Answer: C

7. The triangle below is isosceles and is drawn to scale. What is the measure of angle N ?

   

   1. 22^o
   2. 68^o
   3. 78^o
   4. 79^o
   5. 89^o

   Answer: D

8. What is the least value of x that satisfies the equation x² - 7x + 6 = 6 ?
   1. -7
   2. -6
   3. -4
   4. 0
   5. 1

   Answer: D

9. What is the largest possible product for 2 even integers whose sum is 34 ?
   1. 64
   2. 68
   3. 120
   4. 240
   5. 288

   Answer: E

10. The measures of the angles of a triangle are in the ratio of 2x:3x:5x as illustrated below. What is the measure of the smallest angle in the triangle?

    

    1. 18^o
    2. 20^o
    3. 30^o
    4. 36^o
    5. 40^o

    Answer: D