Here are some Compass math sample questions from our Compass practice math download.

As you will see when clicking on the answers link at the bottom of the page, our Compass math download shows comprehensive, step-by-step solutions and explanations.

By looking at the in-depth explanations in our Compass math download, you can learn the tips and tricks that you need to know in order to solve even the toughest math problems on the Compass Test.

## Math Download - Free Compass Math Sample

1) What is the value of ^{x - 3}/_{2 - x} when *x* = 1?

A) 2

B) −2

C) ^{1}/_{2}

D) −^{1}/_{2}

E) −^{4}/_{3}

2) A runner of a 100 mile endurance race ran at a speed of 5 miles per hour for the first 80 miles of the race and *x* miles per hour for the last 20 miles of the race. What equation represents the runner's average speed for the entire race?

A) 100 ÷ [(80 ÷ 5) + (20 ÷ *x*)]

B) 100 × [(80 ÷ 5) + (20 ÷ *x*)]

C) 100 ÷ [(80 × 5) + (20 × *x*)]

D) 100 × [(80 × 5) + (20 × *x*)]

E) [(80 ÷ 5) + (20 ÷ *x*)] ÷ 100

3) What is the determinant of the following matrix?

A) *jk* − *mn*

B) *jk* + *mn*

C) *jn* − *mk*

D) *jn* + *mk*

E) *jm* − *kn*

4)

In the above figure, XY and WZ are parallel, and lengths are provided in units. What is the area of trapezoid WXYZ in square units?

A) 24

B) 30

C) 34

D) 36

E) 39

5) The street that runs between the hospital (H) and the police station (P) in the illustration below forms a 65° angle. If the police station (P) is 2.5 miles from the fire station (F), what equation below calculates the distance of the fire station from the hospital?

A) 2.5 × tan65°

B) 2.5 ÷ tan65°

C) 2.5 × cos65°

D) 2.5 × sin65°

E) 2.5 ÷ cos65°