FREE ParaPro Math Questions and Answers

Question 1

A 125 by 200 foot rectangular field belongs to a farmer. He wants to build a fence to enclose the field. How many feet worth of material will he need in total for the job?

Accepted Answer

650

Answer

Explanation:
This question is really asking for the perimeter of the field. Add up all of the sides to find the perimeter:
(125⋅2)+(200⋅2)=650

Question 2

There are two different containers of stress balls in a manufacturing. There are 80 balls in the first container and 90 balls in the second. 20% of the balls in the second container and 40% of the balls in the first container both have defects. How many faulty balls are there in total between the two containers?

Accepted Answer

50

Answer

Explanation:
Calculate the number of defective balls in each container and then add these two amounts:
40% of 80
=0.40⋅80=32
20% of 90
=0.20⋅90=18
32+18=50

Question 3

Peter intends to spend $305 on as many bags of mulch as he can, and he wants them delivered to her house. The price per bag is $8.00, and the shipping fee is $21.00. Mulch is only offered for sale in whole bags. How many bags is Peter able to buy?

Accepted Answer

35

Answer

Explanation:
From Peter's initial amount of $305, a flat $21.00 delivery charge is deducted:
$305−$21.00=$284.00
We can then divide this amount by the cost per bag to find the total number of bags that Peter can buy:
$284.00÷$8.00 =35.5 bags
However, the question states that the mulch can only be sold in full bags, so we must round our answer down to ensure that Peter doesn't exceed his budget.

Question 4

A $50 sweater was purchased by Peter. How much change should Peter anticipate getting if he gives the salesperson three $20 bills and a 6% sales tax is added to the price?

Accepted Answer

7

Answer

Explanation:
To determine the total amount owed, we need to determine the sales tax:
6% of $50=.06⋅50=$3
(Or, you might recognize that 6% of $100 = $6, so 6% of $50 must be half of $6, or $3.)
Total amount owed =$50+$3=$53
Three $20 bills =3⋅$20=$60
$60−$53=$7 change.

Question 5

Formula: x+17=11.
Answer: x = 6
Above is an equation with its solution. A pupil requests an explanation. What would be the best justification for the paraprofessional to offer?

Accepted Answer

Subtract 17 from both sides of the equation.

Answer

Explanation:
Given x+17=11 to solve we want to isolate the variable, x. To do this most efficiently, we subtract 17 from both sides

ParaPro Assessment Test Practice Test

ParaPro Assessment Test Practice Test

FREE ParaPro Math Questions and Answers