Praxis Practice Test Math 7813 questions and answers
2023 with complete solution
A rectangular message board in Aleyah's dormitory room has a length of 30 inches and
a perimeter of 108 inches. A rectangular bulletin board in the hallway outside Aleyah's
room is twice as long and twice as wide as the message board.
Which of the following statements about the bulletin board is true?
The bulletin board has a width of 48 inches.
The bulletin board has a length of 96 inches.
The area of the bulletin board is twice the area of the message board.
The perimeter of the bulletin board is four times the perimeter of the message board.
Option (A) is correct. Since the message board has a length of 30 inches and a
perimeter of 108 inches, the width of the message board can be found by solving the
equation 2(30)+2w=108 for w. To solve the equation for w, subtract 60 from both sides
of the equation and then divide both sides of the equation by 2 to find that w=24. This
means that the length and width of the bulletin board are 60 inches and 48 inches,
respectively, and it can be concluded that the area of the message board is 720 square
inches, the perimeter of the bulletin board is 216 inches, and the area of the bulletin
board is 2,880 square inches. Thus, the only true statement is that the bulletin board
has a width of 48 inches.
Match each fraction with its equivalent decimal number.
20/100
2/10
20/10
200/100
2/100
Categories:
0.02
0.2
2
2/100 = 0.02
20/100 and 2/10 = 0.2
20/10 and 200/100 = 2
Which of the following fractions has a value between the values of the fractions 7/9 and
8/11?
1/2
2/3
3/4
4/5
Option (C) is correct.
Which three of the following word problems can be represented by a division equation
that has an unknown quotient?
, A.) Ms. Bronson works the same number of hours each day. After 8 days of work, she
had worked 32 hours. How many hours does Ms. Bronson work each day?
B.) Mr. Kanagaki put tape around 6 windows before painting a room. He used 7 feet of
tape for each window. How many feet of tape did he use?
C.) Micah used the same number of sheets of paper in each of 5 notebooks. He used
45 sheets of paper in all. How many sheets of paper did Micah use in each notebook?
D.) Each shelf in a school supply store has 8 packs of markers on it. Each pack has 12
markers in it. How many markers are on each shelf in the store?
E.) Trina gave each of 7 friends an equal number of beads to use to make a bracelet.
She gave the friends a total of 63 beads. How many beads did she give to each friend?
Options (A), (C), and (E) are correct.
Answer the question below by clicking on the correct response.
Question:
Last Tuesday, a group of 5 researchers in a laboratory recorded observations during a
24-hour period. The day was broken into 5 nonoverlapping shifts of equal length, and
each researcher recorded observations during one of the shifts.
Which of the following best represents the amount of time each researcher spent
recording observations last Tuesday?
Between 4 and 4 1/4
hours
Between 4 1/4
and 4 1/2
hours
Between 4 1/2
and 4 3/4
hours
Between 4 3/4
and 5 hours
Option (D) is correct. Since the 24-hour period is broken into 5 overlapping shifts of
equal length, the problem is solved by finding 24/5
Which two of the following inequalities are true?
0.56>0.605
0.065>0.56
0.56>0.506
0.605<0.056
0.506<0.65
0.65<0.605
Options (C) and (E) are correct. To compare these decimal numbers, first compare the
digits in the tenths place—the decimal number with the greater digit in the tenths place
will be the greater number. If the digits in the tenths place are the same, compare the
2023 with complete solution
A rectangular message board in Aleyah's dormitory room has a length of 30 inches and
a perimeter of 108 inches. A rectangular bulletin board in the hallway outside Aleyah's
room is twice as long and twice as wide as the message board.
Which of the following statements about the bulletin board is true?
The bulletin board has a width of 48 inches.
The bulletin board has a length of 96 inches.
The area of the bulletin board is twice the area of the message board.
The perimeter of the bulletin board is four times the perimeter of the message board.
Option (A) is correct. Since the message board has a length of 30 inches and a
perimeter of 108 inches, the width of the message board can be found by solving the
equation 2(30)+2w=108 for w. To solve the equation for w, subtract 60 from both sides
of the equation and then divide both sides of the equation by 2 to find that w=24. This
means that the length and width of the bulletin board are 60 inches and 48 inches,
respectively, and it can be concluded that the area of the message board is 720 square
inches, the perimeter of the bulletin board is 216 inches, and the area of the bulletin
board is 2,880 square inches. Thus, the only true statement is that the bulletin board
has a width of 48 inches.
Match each fraction with its equivalent decimal number.
20/100
2/10
20/10
200/100
2/100
Categories:
0.02
0.2
2
2/100 = 0.02
20/100 and 2/10 = 0.2
20/10 and 200/100 = 2
Which of the following fractions has a value between the values of the fractions 7/9 and
8/11?
1/2
2/3
3/4
4/5
Option (C) is correct.
Which three of the following word problems can be represented by a division equation
that has an unknown quotient?
, A.) Ms. Bronson works the same number of hours each day. After 8 days of work, she
had worked 32 hours. How many hours does Ms. Bronson work each day?
B.) Mr. Kanagaki put tape around 6 windows before painting a room. He used 7 feet of
tape for each window. How many feet of tape did he use?
C.) Micah used the same number of sheets of paper in each of 5 notebooks. He used
45 sheets of paper in all. How many sheets of paper did Micah use in each notebook?
D.) Each shelf in a school supply store has 8 packs of markers on it. Each pack has 12
markers in it. How many markers are on each shelf in the store?
E.) Trina gave each of 7 friends an equal number of beads to use to make a bracelet.
She gave the friends a total of 63 beads. How many beads did she give to each friend?
Options (A), (C), and (E) are correct.
Answer the question below by clicking on the correct response.
Question:
Last Tuesday, a group of 5 researchers in a laboratory recorded observations during a
24-hour period. The day was broken into 5 nonoverlapping shifts of equal length, and
each researcher recorded observations during one of the shifts.
Which of the following best represents the amount of time each researcher spent
recording observations last Tuesday?
Between 4 and 4 1/4
hours
Between 4 1/4
and 4 1/2
hours
Between 4 1/2
and 4 3/4
hours
Between 4 3/4
and 5 hours
Option (D) is correct. Since the 24-hour period is broken into 5 overlapping shifts of
equal length, the problem is solved by finding 24/5
Which two of the following inequalities are true?
0.56>0.605
0.065>0.56
0.56>0.506
0.605<0.056
0.506<0.65
0.65<0.605
Options (C) and (E) are correct. To compare these decimal numbers, first compare the
digits in the tenths place—the decimal number with the greater digit in the tenths place
will be the greater number. If the digits in the tenths place are the same, compare the
