# AEPA Middle Grades Mathematics (NT203): Practice & Study Guide Final Exam

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#### Question 1 1. What is the correct representation of the value 1,795,402 in scientific notation?

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Question 2
2.
What is the value of the ninth term in the following sequence of numbers?

( 113, 160, 207, 254…)

#### Question 3 3. A pet store has 18 puppies available for sale: 3 German Shepherds, 1 Doberman Pinscher, 2 Beagles, 4 Poodles, 2 Labradors, 3 Cocker Spaniels, 1 Rottweiler, and 2 Collies. What is the probability that the next dog that the store sells will be a Beagle?

#### Question 4 4. Alan is a running back for his high school football team. The number of rushing yards he gained during the first 5 games of the season were 111, 87, 96, 133 and 78, respectively. What is the mean number of rushing yards per game that Alan had during this period?

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Question 5
5.
What is the domain of the following function?

f(*x*) = 2*x* - 5 / ( x + 11 )

*x*) = 2

*x*- 5 / ( x + 11 )

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Question 6
6.
Given the right triangle in the figure below, what is the length of Side *C* if the lengths of Sides *A* and *B* are 39 inches and 52 inches, respectively?

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Question 7
7.
The following equation is an example of which mathematical property?

3/7 × 8^( 4 + 1 ) / 2 = ?

#### Question 8 8. Which of the of the following numbers has the greatest value?

#### Question 9 9. A college football team has 45 members that are in the senior class, which equates to 60% of the team members. What is the total number of members on the team?

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Question 10
10.
What is the solution for *x* in the following inequality: -5*x* + 8 > -12 ?

#### Question 11 11. A square-shaped lot has an area of 64 square meters. How much fencing would be needed to surround the lot's perimeter?

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Question 12
12.
Which mathematical operation should be performed first in the following equation to arrive at the correct answer?

3/7 × 8^( 4 + 1 ) / 2 = ?

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Question 13
13.
What are the Cartesian coordinates of the vertex of the following parabola?

8 × ( *x* - 3 )^2 = 4*y* + 12

*x*- 3 )^2 = 4

*y*+ 12

#### Question 14 14. Doug's science class has 20 students. The students are seated in 4 rows of desks with 5 desks per row. How many different seating arrangements are possible in the science classroom?

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Question 15
15.
Which of the following equations is the inverse of the function f(*x*) = 2/7*x* + 4?

#### AEPA Middle Grades Mathematics (NT203): Practice & Study Guide Final Free Practice Test Instructions

Choose your answer to the question and click 'Continue' to see how you did. Then click 'Next Question' to answer the next question. When you have completed the free practice test, click 'View Results' to see your results. Good luck!