I just published the playlist of video explanations to all of the math questions in the Decemeber 2014 ACT 72G test.

Online Resource for ACT Math

You are here: Home / Blog

I just published the playlist of video explanations to all of the math questions in the Decemeber 2014 ACT 72G test.

Here is a practice question on simplifying trigonometric expressions.

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

- $\quad \csc \theta$
- $\quad \sec \theta$
- $\quad \cot \theta$
- $\quad \tan \theta$
- $\quad \cos \theta$

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 $a=$ ?

- $\quad -\dfrac{3}{2}$
- $\quad -\dfrac{2}{3}$
- $\quad \dfrac{2}{3}$
- $\quad \dfrac{3}{2}$
- $\quad \dfrac{10}{3}$

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?

- $\quad \dfrac{1}{4}$
- $\quad \dfrac{1}{2}$
- $\quad 1$
- $\quad 2$
- $\quad 4$

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?

- $\quad (x-2)^2 + (y-3)^2 = 16$
- $\quad (x+2)^2 + (y-3)^2 = 16$
- $\quad (x-2)^2 + (y+3)^2 = 16$
- $\quad (x+2)^2 + (y-3)^2 = 64$
- $\quad (x-2)^2 + (y+3)^2 = 64$