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7813 Math Praxis Questions with Detailed
Verified Answers
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?
A.The bulletin board has a width of 48 inches.
B.The bulletin board has a length of 96 inches.
C.The area of the bulletin board is twice the area of the message board.
D.The perimeter of the bulletin board is four times the perimeter of the
message board. Ans: Correct Answer: A
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=1082(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=24w=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.
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Match each fraction with its equivalent decimal number.
20/100, 2/10, 20/10, 200/100, 2/100 Ans: Correct Answer: First
column: E; Second column: A, B; Third column: C, D
The correct answers are that 2/100 is equivalent to 0.02, 20/100 and
2/10 are equivalent to 0.2, and 20/10 and 200/100 are equivalent to 2.
The decimal equivalent of any fraction can be found by dividing the
numerator of the fraction by its denominator. Please note that credit for
the correct answer is given regardless of the boxes in which the fractions
are placed when matched with their equivalent decimal numbers.
Which of the following fractions has a value between the values of the
fractions 7/9 and 8/11 ? Ans: Option (C) is correct.
Since 7/9≈0.78≈0.78 and 8/11≈0.73, the fraction 3/4 has a value
between the values of 7/9 and 8/11 because 3/4=0.75.
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?
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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? Ans: Options (A), (C), and (E) are correct. The
word problem in option (A) can be represented by the equation
32÷8=□32÷8=□, the word problem in option (C) can be represented by
the equation 45÷5=□45÷5=□, and the word problem in option (E) can be
represented by the equation 63÷7=□63÷7=□. The word problem in
option (B) can be represented by the equation 7×6=□7×6=□ or the
equation □÷6=7, and the word problem in option (D) can be represented
by the equation 12×8=□ or the equation □÷8=12; however, neither of
these word problems can be represented by a division equation that has
an unknown quotient.
Last Tuesday, a group of 5 researchers in a laboratory recorded
observations during a 24-hour period. The day was broken into 5 non
overlapping 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?
A.Between 4 and 4 1/4 hours
B.Between 4 1/4 and 4 1/2 hours
C.Between 4 1/2 and 4 3/4 hours
D.Between 4 3/4 and 5 hours Ans: 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 is equivalent to 4
7813 Math Praxis Questions with Detailed
Verified Answers
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?
A.The bulletin board has a width of 48 inches.
B.The bulletin board has a length of 96 inches.
C.The area of the bulletin board is twice the area of the message board.
D.The perimeter of the bulletin board is four times the perimeter of the
message board. Ans: Correct Answer: A
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=1082(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=24w=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.
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Match each fraction with its equivalent decimal number.
20/100, 2/10, 20/10, 200/100, 2/100 Ans: Correct Answer: First
column: E; Second column: A, B; Third column: C, D
The correct answers are that 2/100 is equivalent to 0.02, 20/100 and
2/10 are equivalent to 0.2, and 20/10 and 200/100 are equivalent to 2.
The decimal equivalent of any fraction can be found by dividing the
numerator of the fraction by its denominator. Please note that credit for
the correct answer is given regardless of the boxes in which the fractions
are placed when matched with their equivalent decimal numbers.
Which of the following fractions has a value between the values of the
fractions 7/9 and 8/11 ? Ans: Option (C) is correct.
Since 7/9≈0.78≈0.78 and 8/11≈0.73, the fraction 3/4 has a value
between the values of 7/9 and 8/11 because 3/4=0.75.
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?
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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? Ans: Options (A), (C), and (E) are correct. The
word problem in option (A) can be represented by the equation
32÷8=□32÷8=□, the word problem in option (C) can be represented by
the equation 45÷5=□45÷5=□, and the word problem in option (E) can be
represented by the equation 63÷7=□63÷7=□. The word problem in
option (B) can be represented by the equation 7×6=□7×6=□ or the
equation □÷6=7, and the word problem in option (D) can be represented
by the equation 12×8=□ or the equation □÷8=12; however, neither of
these word problems can be represented by a division equation that has
an unknown quotient.
Last Tuesday, a group of 5 researchers in a laboratory recorded
observations during a 24-hour period. The day was broken into 5 non
overlapping 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?
A.Between 4 and 4 1/4 hours
B.Between 4 1/4 and 4 1/2 hours
C.Between 4 1/2 and 4 3/4 hours
D.Between 4 3/4 and 5 hours Ans: 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 is equivalent to 4
