ACT Math Practice

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Check out some mixed ACT Math Practice below!

ACT MATH PRACTICE

1.A watering pump is filling up a 5 foot cylindrical basin at a rate of 4ft3 per minute. If the radius is 3 ft, what percent of the basin is filled after 20 minutes?

  1. 43%
  2. 57%
  3. 52%
  4. 48%

1    B

1   2. If the surface area of a cube is 216 m2, what is the volume of the cube?

  1. 216 m3
  2. 64 m3
  3. 69 m3
  4. 36 m3

1      A

g

.

Finding input and output values.

  1. Sin(3b)=.75. Find all values for b.

 

  1. Tan (y)=.45. Find all values for y.

 

  1. If y=sin(α) and x=cos(α), describe the shape of the following:

sin(α)*cos(α)=1

sin2(α) + cos2(α)=9

  1. Describe the graphs of the following in an x-y Cartesian coordinate system:
  2. 4x-3y=90
  3. x2 +(y-9)2=50
  4. x2-6 +y2-10y+30=40

A cylinder is inscribed in a rectangular solid. The rectangular solid has a height that is three times the width and a volume of 80. Find the surface area and volume of the cylinder.

 

 

 

The triangle ABC has one side, AB, with length of 10. Another side, BC has length of 12. Find the range of possible values for the area of triangle ABC.

 

 

 

Line Q intersects the origin. Line P follows 6x-12y=30 and is perpendicular to line Q. If line Q also passes through (t,t+1), find the value of t2+4t-5.

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