ILTS Math Exam Questions with
Complete Solutions21
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+2. In which county does Quyen live?
A.Brookhaven
B.Columbus
C.Davidson
D.Washington - ANSWERS-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.
Which of the following is an algebraic expression?
A.6x−4
B.6y<4
C.6z=4
D.6+4 - ANSWERS-A. 6x-4
,The question requires an understanding of how to differentiate 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.
(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 - ANSWERS-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).
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 - ANSWERS-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.
(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 - ANSWERS-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.
Which of the following is a statistical question?
Select all that apply.
A.What is the daily high temperature for an August day in Cheyenne, Wyoming?
B.How many speeches did George Washington make during his life?
C.How many minutes did Hannah spend talking on her phone on August 28, 2016 ?
D.What was the average number of miles a week run by the members of the Hereford High
School cross-country team last month? - ANSWERS-A. What is the daily high temperature for an
August day in Cheyenne, Wyoming?
D.What was the average number of miles a week run by the members of the Hereford High
School cross-country team last month?
The question requires an understanding of how to identify statistical questions. A statistical
question is one that can be answered by collecting data and where there will be variability in
the data collected.
Which word describes each angle in an equilateral triangle?
Complete Solutions21
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+2. In which county does Quyen live?
A.Brookhaven
B.Columbus
C.Davidson
D.Washington - ANSWERS-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.
Which of the following is an algebraic expression?
A.6x−4
B.6y<4
C.6z=4
D.6+4 - ANSWERS-A. 6x-4
,The question requires an understanding of how to differentiate 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.
(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 - ANSWERS-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).
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 - ANSWERS-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.
(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 - ANSWERS-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.
Which of the following is a statistical question?
Select all that apply.
A.What is the daily high temperature for an August day in Cheyenne, Wyoming?
B.How many speeches did George Washington make during his life?
C.How many minutes did Hannah spend talking on her phone on August 28, 2016 ?
D.What was the average number of miles a week run by the members of the Hereford High
School cross-country team last month? - ANSWERS-A. What is the daily high temperature for an
August day in Cheyenne, Wyoming?
D.What was the average number of miles a week run by the members of the Hereford High
School cross-country team last month?
The question requires an understanding of how to identify statistical questions. A statistical
question is one that can be answered by collecting data and where there will be variability in
the data collected.
Which word describes each angle in an equilateral triangle?
