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

#### A visual organizer for planning, making forecasts, and linking old and new information

While a KWL chart is a useful visual organizer, it is specifically designed for gathering and organizing information before, during, and after reading to support comprehension and critical thinking. It stands for "What I Know," "What I Want to Know," and "What I Learned."

#### The significance of a digit's place in a number.

The significance of a digit's place in a number is a fundamental concept known as place value. Place value refers to the value or worth of a digit based on its position or place within a number.

#### 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)?

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

#### Raymart and Adam both achieved high scores in their favorite video game, "Space Attack," with 139,750 and 99,190 points respectively. Which of the following best represents the difference in points between Raymart and Adam?

The difference in points between Raymart and Adam can be found by subtracting Adam's score from Raymart's score:

Raymart's score - Adam's score = 139,750 - 99,190 = 40,560

Therefore, the best representation of the difference in points between Raymart and Adam is 40,560 points. The given option of 41,000 points is not an accurate representation of the calculated difference.

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

If the value of y is between 0.0078 and 0.01, then y could indeed be 0.0099. This value falls within the given range of 0.0078 to 0.01.

#### The vertical axis of a coordinate grid.

The vertical axis of a coordinate grid is commonly referred to as the Y-axis. It is one of the two axes that form the coordinate system, with the other being the horizontal axis, known as the X-axis.

#### 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?

To determine the digit in the tenth place of the number 514.196, Shaun can use the aid of a paraprofessional by following these steps:

1. Identify the decimal point in the number. In this case, the decimal point is located between the digit 4 and the digit 1.

2. Count the digits to the right of the decimal point. In this case, there are three digits to the right of the decimal point: 1, 9, and 6.

3. The digit in the tenth place is the digit immediately to the right of the decimal point. In this case, the digit in the tenth place is 1.

Therefore, with the help of a paraprofessional, Shaun can determine that the digit in the tenth place of the number 514.196 is 1.

#### Reading's ultimate goal

The ultimate goal of reading is comprehension. Comprehension refers to the ability to understand and make meaning from written text. When reading, comprehension involves actively engaging with the text, constructing meaning, and extracting information, ideas, and concepts from the written words.

#### A grid with the numbers 1–100 is a good place value strategy.

A grid with the numbers 1-100, commonly known as a hundred chart or hundred board, is an effective place value strategy in mathematics education. It is a grid that displays the numbers from 1 to 100 in a structured layout.

#### When reading aloud with a partner, students alternately read different passages and ask and respond to text-related questions.

The activity you are describing is called partner reading. It is a cooperative reading strategy where two students take turns reading different passages or sections of a text aloud. They also engage in asking and responding to text-related questions to enhance comprehension and promote discussion.

#### A paraprofessional offers the following word puzzle assistance to a group of children.

"A store employee does not add tax to food purchases. For a gallon of milk, she charges $3.21, and for two pounds, $2.40. a box of cereal, and $3.68 for an apple. The cereal is discounted by $0.75 thanks to a customer's coupon. What are the grocery costs?”

Which of the following statements would correctly solve the problem?

The correct statement to solve the problem would be:

"Add $3.21, $2.40, and $3.68. Then subtract $0.75."

To find the cost of the groceries, we need to add the prices of the gallon of milk ($3.21), 2 lbs. of apples ($2.40), and the box of cereal ($3.68). Then we subtract the coupon discount of $0.75 from the total.

By following the provided statement, we correctly perform the addition of the prices and then subtract the coupon discount to determine the cost of the groceries.

#### The first letter of a word

#### To the nearest hundredth, what is 317.93371?

To round 317.93371 to the nearest hundredth, we look at the digit in the thousandth place, which is 3.

Since 3 is less than 5, we round down, which means the digit in the hundredth place (the next decimal place to the right) remains the same.

Therefore, rounding 317.93371 to the nearest hundredth gives us 317.93.

#### How might someone helping a pupil explain how to solve the following puzzle to them?

421.45 × 10.09 is approximately equal to:

#### 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?

Let's simplify the given and provided alternative expressions to determine if they are equivalent.

Given expression:

(5 x $7.50) - (3 x $5.00)

Simplifying:

(5 x $7.50) - (3 x $5.00)

= $37.50 - $15.00

= $22.50

Alternative expression:

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

Simplifying:

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

= 3 ($2.50) + 2 x $7.50

= $7.50 + 2 x $7.50

= $7.50 + $15.00

= $22.50

As we can see, both expressions simplify to $22.50. Therefore, the alternative expression 3 ($7.50 - $5.00) + 2 x $7.50 is equivalent to the given expression and could also have been used by Nathan.