FREE ParaPro Core Plus (Math Version 1) Questions and Answers

Question 1

The addition of three two-digit numbers is demonstrated below using the usual addition technique.

4z
27
+x5
y14

If x, y, and z each represent a different digit from 0 to 9, what is the value of (x)(y)(z)?

Accepted Answer

8

Answer

First, analyze the units column: z + 7 + 5 results in a units digit of 4, meaning z + 12 ends in 4. This implies z must be 2 (2 + 12 = 14), with 1 carried over to the tens column. Next, for the tens column: the carried-over 1 + 4 + 2 + x results in a tens digit of y and a units digit of 1. So, 7 + x must equal 11 (since x is a single digit), making x = 4 and y = 1. Since x=4, y=1, and z=2 are all different digits, the value of (x)(y)(z) is 4 * 1 * 2 = 8.

Question 2

A pupil is unsure about how to approach the subsequent difficulty. What is the best course of action to take?

Accepted Answer

Multiply by the reciprocal of the second fraction

Answer

When dividing fractions, the standard procedure is to 'keep, change, flip.' This means you keep the first fraction as it is, change the division operation to multiplication, and then flip the second fraction (find its reciprocal). Therefore, multiplying by the reciprocal of the second fraction is the correct and most fundamental step to solve a fraction division problem.

Question 3

David, a tutor, decides to buy five calculators at a store for $7.50 each with the intention of giving one to each of his students. The following day, he learns that the same calculator has dropped in price to $5.00 and that he would only have three tutoring clients rather than five. He returns the five calculators and replaces them with three new ones at a discounted price. To calculate the amount he should get back from the store, he applies the following phrase.

(5 x $7.50) – (3 x $5.00)

Which of the following expressions could David also have used?

Accepted Answer

3 ($7.50 - $5.00) + 2 x $7.50

Answer

David's initial expression calculates the total money spent minus the total cost of the new purchase. The equivalent expression, 3 ($7.50 - $5.00) + 2 x $7.50, breaks down the refund differently. It accounts for the savings on the three calculators he ultimately kept (paying $5.00 instead of $7.50) and adds the full refund for the two calculators he returned without replacement. Both methods correctly calculate the total amount of money David should receive back from the store.

Question 4

Which of the following may y be if its value is between 0.0078 and 0.01?

Accepted Answer

0.0099

Answer

To determine which value for 'y' is between 0.0078 and 0.01, we need to compare each option. The number 0.0099 is greater than 0.0078 (since 99 is greater than 78 in the thousandths and ten-thousandths places) and also less than 0.01 (which can be written as 0.0100). Therefore, 0.0099 is the only option that falls within the specified range.

Question 5

Shaun is unsure of which digit, out of 514.196, belongs in the tenth place. How might he find it with the aid of a paraprofessional?

Accepted Answer

It’s the digit immediately to the right of the decimal point

Answer

In the decimal number system, place values to the right of the decimal point represent fractions. The first digit immediately to the right of the decimal point holds the 'tenths' place value. For example, in 514.196, the digit '1' is in the tenths place, representing one-tenth (1/10).

ParaPro Assessment Test Practice Test

ParaPro Assessment Test Practice Test

FREE ParaPro Core Plus (Math Version 1) Questions and Answers