Praxis Elementary Exam Questions With
Answers Correct
1. County Population
Brookhaven 74,702
Columbus 70,472
Davidson 74,072
Washington 74,720
The chart shows the populations of four neighboring counties. Quyen lives
in the county with a population of 70,000+4,000+70+270,000+4,000+70+2. In
which county does Quyen live?
A.Brookhaven
B.Columbus
C.Davidson
D.Washington: C. Davidson
The question requires an understanding of how to compose and decompose multidigit numbers. The expanded
form 70,000+4,000+70+270,000+4,000+70+2 corresponds to the number 74,072, which is the population of Davidson
County.
2. Which of the following is an algebraic expression?
A.6x−4
B.6y<4
C.6z=4
D.6+4: A. 6x-4
The question requires an understanding of how to ditterentiate between algebraic expressions and equations. An
algebraic expression is made of constants, variables, and algebraic operations. While (A) is an algebraic expression,
(B) is an algebraic inequality, (C) is an algebraic equation, and (D) is a numerical expression.
3. (2/3)/(4/3)+(3/5)x(5/3)^2
,Which of the following is equivalent to the expression shown?
A. 2/9
B. 13/6
, C. 23/9
D. 55/18: B. 13/6
The question requires an understanding of how to solve problems using the order of operations. By using
the order of operations and the fact that dividing is equivalent to multiplying by the inverse, the expression
(2/3)/(4/3)+(3/5)x(5/3)^2 can be simplified to (2/3)x(3/4)+(3/5)x(25/9). Performing both multiplications yields
(1/2)+(5/3), which is equivalent to (13/6).
4. Mary has a rectangular garden in her backyard. The garden measures 5(3/4)
feet wide by 7(1/2) feet long. What is the area of the garden?
A. 26(1/2) square feet
B. 35(3/8) square feet
C. 36(1/8) square feet
D. 43(1/8) square feet: D. 43(1/8) square feet
The question requires an understanding of how to find the area and perimeters of polygons. If a rectangle has a length
of ℓℓ units and a width of w units, then its area is ℓ×wℓ×w square units.
5. (I can't insert the image of the figures so I am sorry)
The first three figures in a pattern are shown. The 1st figure is composed of
two triangles and one square. Each figure after the 1st figure is composed of
two triangles and one square more than the preceding figure. How many line
segments are in the 10th figure of the pattern?
A.35
B.38
C.41
D.44: A. 35
The question requires an understanding of how to identify and extend a pattern. The first figure has 8 line segments.
Adding a square to each figure is equivalent to adding 3 line segments. So the number of line segments of the nth figure
can be described by the equation f(n)=5+3n, with n=1,2,3,... Therefore the 10th figure of the pattern has f(n)=5+3×10,
or 35 line segments.
Answers Correct
1. County Population
Brookhaven 74,702
Columbus 70,472
Davidson 74,072
Washington 74,720
The chart shows the populations of four neighboring counties. Quyen lives
in the county with a population of 70,000+4,000+70+270,000+4,000+70+2. In
which county does Quyen live?
A.Brookhaven
B.Columbus
C.Davidson
D.Washington: C. Davidson
The question requires an understanding of how to compose and decompose multidigit numbers. The expanded
form 70,000+4,000+70+270,000+4,000+70+2 corresponds to the number 74,072, which is the population of Davidson
County.
2. Which of the following is an algebraic expression?
A.6x−4
B.6y<4
C.6z=4
D.6+4: A. 6x-4
The question requires an understanding of how to ditterentiate between algebraic expressions and equations. An
algebraic expression is made of constants, variables, and algebraic operations. While (A) is an algebraic expression,
(B) is an algebraic inequality, (C) is an algebraic equation, and (D) is a numerical expression.
3. (2/3)/(4/3)+(3/5)x(5/3)^2
,Which of the following is equivalent to the expression shown?
A. 2/9
B. 13/6
, C. 23/9
D. 55/18: B. 13/6
The question requires an understanding of how to solve problems using the order of operations. By using
the order of operations and the fact that dividing is equivalent to multiplying by the inverse, the expression
(2/3)/(4/3)+(3/5)x(5/3)^2 can be simplified to (2/3)x(3/4)+(3/5)x(25/9). Performing both multiplications yields
(1/2)+(5/3), which is equivalent to (13/6).
4. Mary has a rectangular garden in her backyard. The garden measures 5(3/4)
feet wide by 7(1/2) feet long. What is the area of the garden?
A. 26(1/2) square feet
B. 35(3/8) square feet
C. 36(1/8) square feet
D. 43(1/8) square feet: D. 43(1/8) square feet
The question requires an understanding of how to find the area and perimeters of polygons. If a rectangle has a length
of ℓℓ units and a width of w units, then its area is ℓ×wℓ×w square units.
5. (I can't insert the image of the figures so I am sorry)
The first three figures in a pattern are shown. The 1st figure is composed of
two triangles and one square. Each figure after the 1st figure is composed of
two triangles and one square more than the preceding figure. How many line
segments are in the 10th figure of the pattern?
A.35
B.38
C.41
D.44: A. 35
The question requires an understanding of how to identify and extend a pattern. The first figure has 8 line segments.
Adding a square to each figure is equivalent to adding 3 line segments. So the number of line segments of the nth figure
can be described by the equation f(n)=5+3n, with n=1,2,3,... Therefore the 10th figure of the pattern has f(n)=5+3×10,
or 35 line segments.
