Praxis 7813 Math Practice Problems- Questions and Answers
1. A rectangular message board in Aleyah's dor- The bulletin board has a width of 48
mitory room has a length of 30 inches and a inches.
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?
2. 0.02 = 2/100
3. 0.2= 2/10, 20/100
4. 2= 200/100, 20/10
5. Which of the following fractions has a value be- 3/4
tween the values of the fractions 7/9 and 8/11?
6. Which THREE of the following word problems A. Ms. Bronson works the same
can be represented by a division equation that number of hours each day. After 8
has an unknown quotient? days of work, she had worked 32
hours. How many hours does Ms.
Bronson work each day?
C.Micah used the same number of
sheets of paper in each of 5 note-
books. He used 45 sheets of paper
in all. How many sheets of paper
did Micah use in each notebook?
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?
, Praxis 7813 Math Practice Problems- Questions and Answers
7. Last Tuesday, a group of 5 researchers in a lab- Between 4 3/4 and 5 hours
oratory recorded observations during a 24-hour
period. The day was broken into 5 non-overlap-
ping 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?
8. Which TWO of the following inequalities are C. 0.56>0.506
true? E. 0.506<0.65
9. A grocery store sells both green grapes and red (1.5 + 2.25) x (2.89 - 0.75)
grapes for a regular price of $2.89 per pound.
Nelson buys 1.5 pounds of green grapes and
2.25 pounds of red grapes at the store on a day
when the regular price is reduced by $0.75 per
pound.
Which of the following expressions represents
the amount, in dollars, that Nelson will pay for
the grapes?
10. A chef at a restaurant uses 1515 liter of lemon 1/4
juice and 310310 liter of teriyaki sauce to make a
marinade for 2 kilograms of salmon.
How many liters of marinade does the chef use
per kilogram of salmon?
11. Which of the following word problems can be A set of 5 baskets holds a total of 16
represented by the equation 4 x n + 8 = 16? apples. The first basket has 8 apples
and the other baskets each hold an
equal number of apples. How many
, Praxis 7813 Math Practice Problems
Study online at https://quizlet.com/_efn5vq
apples are in each of the other bas-
kets?
12. The scenario in a word problem states that an How many packages of pens and
office supply store sells pens in packages of 12 how many packages of pencils are
and pencils in packages of 20. needed to have the same number
Which of the following questions about the sce- of pens as pencils?
nario involves finding a common multiple of 12
and 20 ?
13. Joshua walks the length of each of three trails 280 minutes
on a hike. The first trail is 3.6 kilometers long.
The second trail is 3.7 kilometers long. The third
trail is 600 meters shorter than the sum of the
lengths of the first two trails. Joshua walks at
an average speed of 3 kilometers per hour over
the course of the entire hike. How many minutes
does it take Joshua to complete his hike?
14. A student incorrectly answered the problem 94.03 x 10 = 94.030
305.74×100. Student's work: 305.74 x 100 =
305.7400. Which of the following student work
samples shows incorrect work that is most simi-
lar to the preceding work?
15. Mr. Varela asked his students to define a square A. A square is a rectangle that has 4
in terms of other two-dimensional geometric fig- sides of equal length.
ures. D.A square is a rhombus that is also
Which two of the following student definitions a rectangle.
precisely define a square?
16. During a lesson in her second-grade class, Ms.
Costa draws two squares of the same size, each
1. A rectangular message board in Aleyah's dor- The bulletin board has a width of 48
mitory room has a length of 30 inches and a inches.
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?
2. 0.02 = 2/100
3. 0.2= 2/10, 20/100
4. 2= 200/100, 20/10
5. Which of the following fractions has a value be- 3/4
tween the values of the fractions 7/9 and 8/11?
6. Which THREE of the following word problems A. Ms. Bronson works the same
can be represented by a division equation that number of hours each day. After 8
has an unknown quotient? days of work, she had worked 32
hours. How many hours does Ms.
Bronson work each day?
C.Micah used the same number of
sheets of paper in each of 5 note-
books. He used 45 sheets of paper
in all. How many sheets of paper
did Micah use in each notebook?
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?
, Praxis 7813 Math Practice Problems- Questions and Answers
7. Last Tuesday, a group of 5 researchers in a lab- Between 4 3/4 and 5 hours
oratory recorded observations during a 24-hour
period. The day was broken into 5 non-overlap-
ping 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?
8. Which TWO of the following inequalities are C. 0.56>0.506
true? E. 0.506<0.65
9. A grocery store sells both green grapes and red (1.5 + 2.25) x (2.89 - 0.75)
grapes for a regular price of $2.89 per pound.
Nelson buys 1.5 pounds of green grapes and
2.25 pounds of red grapes at the store on a day
when the regular price is reduced by $0.75 per
pound.
Which of the following expressions represents
the amount, in dollars, that Nelson will pay for
the grapes?
10. A chef at a restaurant uses 1515 liter of lemon 1/4
juice and 310310 liter of teriyaki sauce to make a
marinade for 2 kilograms of salmon.
How many liters of marinade does the chef use
per kilogram of salmon?
11. Which of the following word problems can be A set of 5 baskets holds a total of 16
represented by the equation 4 x n + 8 = 16? apples. The first basket has 8 apples
and the other baskets each hold an
equal number of apples. How many
, Praxis 7813 Math Practice Problems
Study online at https://quizlet.com/_efn5vq
apples are in each of the other bas-
kets?
12. The scenario in a word problem states that an How many packages of pens and
office supply store sells pens in packages of 12 how many packages of pencils are
and pencils in packages of 20. needed to have the same number
Which of the following questions about the sce- of pens as pencils?
nario involves finding a common multiple of 12
and 20 ?
13. Joshua walks the length of each of three trails 280 minutes
on a hike. The first trail is 3.6 kilometers long.
The second trail is 3.7 kilometers long. The third
trail is 600 meters shorter than the sum of the
lengths of the first two trails. Joshua walks at
an average speed of 3 kilometers per hour over
the course of the entire hike. How many minutes
does it take Joshua to complete his hike?
14. A student incorrectly answered the problem 94.03 x 10 = 94.030
305.74×100. Student's work: 305.74 x 100 =
305.7400. Which of the following student work
samples shows incorrect work that is most simi-
lar to the preceding work?
15. Mr. Varela asked his students to define a square A. A square is a rectangle that has 4
in terms of other two-dimensional geometric fig- sides of equal length.
ures. D.A square is a rhombus that is also
Which two of the following student definitions a rectangle.
precisely define a square?
16. During a lesson in her second-grade class, Ms.
Costa draws two squares of the same size, each
