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You are here: Home / Archives for ACT Practice Questions

ACT Practice Question: Trigonometric Expressions

January 31, 2015 Leave a Comment

 
Here is a practice question on simplifying trigonometric expressions.

For all $\theta$, $\quad \sin \theta + {(\cot \theta})(\cos{\theta})$ is equivalent to

  1. $\quad \csc \theta$
  2. $\quad \sec \theta$
  3. $\quad \cot \theta$
  4. $\quad \tan \theta$
  5. $\quad \cos \theta$

Choice A

Filed Under: ACT Practice Questions

ACT Practice Question: Lines in Coordinate Plane

January 12, 2015 Leave a Comment

 
Here is a practice question on straight lines in the coordinate plane.

If the point $(a, -2)$ falls on the straight line $2y-3x=-6$ in the standard $(x, y)$ coordinate plane, then $a=$ ?

  1. $\quad -\dfrac{3}{2}$
  2. $\quad -\dfrac{2}{3}$
  3. $\quad \dfrac{2}{3}$
  4. $\quad \dfrac{3}{2}$
  5. $\quad \dfrac{10}{3}$

Choice C

Filed Under: ACT Practice Questions

ACT Practice Question: Cylinders in Geometry

December 28, 2014 Leave a Comment

 
Here is a practice question on how the volume of a cylinder varies with its height and radius.

The radius of a right circular cylinder is doubled and the height of the cylinder is halved to form a new right circular cylinder. The volume of the new
cylinder is how many times the volume of the original cylinder?

  1. $\quad \dfrac{1}{4}$
  2. $\quad \dfrac{1}{2}$
  3. $\quad 1$
  4. $\quad 2$
  5. $\quad 4$

Choice D

Filed Under: ACT Practice Questions

ACT Practice Question: Circles in Coordinate Geometry

November 20, 2014 Leave a Comment

 
Here is a practice question on how the equation of a circle in the coordinate plane is related to the coordinates of its center and radius.

In the standard $(x, y)$ plane, a circle has a center at $(2, -3)$ and a circumference of $8\pi$. Which of the following is an equation for this circle?

  1. $\quad (x-2)^2 + (y-3)^2 = 16$
  2. $\quad (x+2)^2 + (y-3)^2 = 16$
  3. $\quad (x-2)^2 + (y+3)^2 = 16$
  4. $\quad (x+2)^2 + (y-3)^2 = 64$
  5. $\quad (x-2)^2 + (y+3)^2 = 64$

Choice C

Filed Under: ACT Practice Questions

ACT Practice Question: Exponent terms being subtracted

October 29, 2014 Leave a Comment

 
Here is a practice question on subtracting exponent expressions, remember that there are no general rules for adding and subtracting exponent terms.

$\dfrac{1}{3^{30}} – \dfrac{2}{3^{31}}$ is equal to

  1. $\quad \dfrac{2}{3^{61}}$
  2. $\quad \dfrac{1}{3^{31}}$
  3. $\quad \dfrac{1}{3^{30}}$
  4. $\quad \dfrac{2}{3^{30}}$
  5. $\quad \dfrac{1}{3}$

Choice B

Filed Under: ACT Practice Questions

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