ParaPro Math Practice Test

A farmer has a rectangular field that measures 125 feet by 200 feet. He wants to enclose the field with a fence. What is the total length of fencing, in feet, that he will need for the job?

On the number line above, where is the number $\frac{7}{3}$ located?

Tavon’s flight is 270 minutes long. How many hours does the flight last?

In a factory, there are two separate containers of stress balls. In the first container are 80 balls, and in the second are 90 balls. 40% of the balls in the first container are defective, and 20% in the second container are defective. In total, how many balls in the two containers are defective?

Ayana wants to buy as many bags of mulch as possible with her \$305, and she would like them to be delivered to her house. The cost is \$8.00 per bag and there is a \$21.00 delivery charge. The mulch is only sold in full bags. How many bags can Ayana buy?

A family ordered $2$ large pizzas for lunch. They ate $\frac{7}{8}$ of one pizza and $\frac{1}{4}$ of the other pizza. How much pizza was left?

Ryan buys a sweatshirt that costs \$50. A sales tax of 6% is added to the price. If Ryan gives three \$20 bills, how much change should he expect to receive?

An equation and solution are shown below. One student asks for an explanation of how to arrive at that solution. Which explanation would be the best for the paraprofessional to provide?

Equation: $x + 17 = 11$

Solution: $x = −6$

Tyler struggled with his math class early in the year, but he has been working hard to improve his scores. There is one test left, and he is hoping that his final average test score will be 75. What score will Tyler need to get on Test 6 to finish the year with an average score of 75?

What is the solution to the following equation?

$8.77 − 10.16 =$

Jodi buys nine pens at \$1.10 per pen. Which of the following represents the change she would receive if she purchased the pens using a \$20 bill?

Hotdogs are sold in packs of 8. Bob buys five packs of hotdogs. If buns are sold in packs of 6, what is the least number of packs Bob can buy and still have enough buns for the hotdogs?

The area of the circle shown below is $100π$. What is the diameter (D) of the circle?

Find the greatest common factor of $33$ and $44$.

Arrange the following fractions in order from least to greatest.

$\dfrac{7}{5}, \dfrac{15}{4}, \dfrac{3}{2}, \dfrac{11}{4}, \dfrac{13}{3}$

Devon owns a house cleaning company and has to give price quotes to potential customers. He figures out his price by assuming a $\$25$ base charge and then adding $\$8$ for each bathroom and $\$4$ for each other room. If he uses $P$ to represent the price, $B$ for bathrooms, and $R$ for other rooms, which of the following represents his price quote formula?

Rose’s circular archery target has an area of 400$π$ square inches. What is the diameter of her target?

Which of the following numbers is the greatest?

$\dfrac{2}{3}$, $0.6$, $\dfrac{13}{22}$, $0.08$

Which of the following fractions is greater than 0.4 and less than 0.5?

Coach Douglas is getting ready for another soccer season. He purchased 20 cones for \$1.25 per cone, 3 balls for \$25 per ball, and 12 practice vests for \$3.50 per vest. How much did the coach spend in total on the items?

What is the value of the expression given below?

$26 − 7(3 + 5) ÷ 4 + 2$

$5^3 × 8^2 =$

Which of the following is the BEST estimate of 3995 × 102?

One can of paint will cover 200 square feet. How many cans of paint will be needed to paint a large rectangular wall that is 66 feet long and 18 feet tall?

A student is calculating the average of a list of seven numbers. After adding the seven numbers together, he accidentally multiplied by 7 instead of dividing and got 392. Which of the following could the ParaProfessional have the student do to get the correct average without having to clear the calculator and start over?

At a used book store, Valentina purchased three books for $\$2.65$ each. If she paid with a $\$20$ bill, how much change did she receive?

$6 × (15 − 8) − (3 − 10)$

The correct solution to the above problem is $49$. What would be the correct solution if both pairs of parentheses were removed?

Emma, Olivia, Ava, and Amelia were left an inheritance by their grandmother. If Emma receives one-eighth of the inheritance, Olivia receives one-quarter of the inheritance, Ava receives three-eighths of the inheritance, and Amelia receives the remainder, what fraction of the inheritance does Amelia receive?

The number of accidents occurring at a dangerous intersection is shown in the chart above. What is the average number of accidents per year during the four years shown (2015–2018)?

If you first add 4 to Kaden’s age and then multiply this sum by 3, you will have his father’s age of 51 years old. Which of the following properly represents this statement algebraically?