Compass Math Pool 1

Question 1

If a gas tank can hold 30 gallons, how many gallons does it contain when it is three-fifths full?

Accepted Answer

18

Answer

To find three-fifths of 30 gallons, you multiply the total capacity by the fraction. (3/5) * 30 = 90/5 = 18. Therefore, the tank contains 18 gallons when it is three-fifths full.

Question 2

If x = y, what does 4(x-y) + 7 =?

Accepted Answer

7

Answer

Given that x = y, the term (x-y) in the expression becomes (x-x) or (y-y), which simplifies to 0. Substituting this into the expression, we get 4(0) + 7. This simplifies further to 0 + 7, which equals 7.

Question 3

In a bag of candy, there are 4 Tootsie Rolls, 3 Lollipops, 5 Hershey Kisses and 6 Starbursts. If you select one piece of candy at random, what is the probability that it will be a lollipop?

Accepted Answer

1/6

Answer

To calculate the probability of selecting a lollipop, divide the number of lollipops by the total number of candies. There are 3 lollipops and a total of 4+3+5+6 = 18 candies. So, the probability is 3/18, which simplifies to 1/6.

Question 4

If 0.05z = 1, then z =

Accepted Answer

20

Answer

To solve for z, you need to isolate it by dividing both sides of the equation by 0.05. So, z = 1 / 0.05. Dividing 1 by 0.05 (or 1 by 5/100) gives you 1 * (100/5), which equals 20.

Question 5

How long will it take to reach a town 250 miles a way if you drive 50 miles per hour?

Accepted Answer

5 hours

Answer

To find the time it takes to travel a certain distance, you use the formula Time = Distance / Rate. Given a distance of 250 miles and a rate of 50 miles per hour, the time taken is 250 / 50, which equals 5 hours.

COMPASS Practice Test

COMPASS Practice Test

Compass Math Pool 1