MTTC Mathematics Test Questions
and Answers
C - ANS-Which of the following problem-solving strategies would be most effective and
appropriate to use in solving the problem below?
A company puts a free toy in each box of cereal and states that there is a one in four
chance of getting the astronaut toy with each purchase. On average, how many boxes
will need to be purchased to get an astronaut?
A.expressing numbers in base four
B. working backwards to find an equation
C. simulating the situation using a random process
D. graphing points on a coordinate system to find a pattern
D - ANS-A fifth-grade teacher is writing an article about mathematics activities in the
classroom. The article describes how students used manipulatives to solve
measurement problems. The teacher included trademark symbols with the name of the
manipulatives. The teacher also included photographs of students working with the
manipulatives. None of the students in the photographs were identified by name. To
ensure compliance with ethical guidelines, the teacher should take which of the
following actions prior to posting the article on the Internet?
A. providing links to the manufacturers of the manipulatives that have trademarked
names
B. providing a disclaimer stating that the school district does not endorse the
pedagogical methods used
C. explicitly identifying the manipulatives being used in a caption below each
photograph
D. obtaining permission from parents/guardians before posting pictures of the students
A - ANS-A fourth-grade teacher is planning a unit in which students will use a computer
application to create their own tessellations. The teacher would like to develop a series
of related activities and assessments to help develop students' mathematical reasoning
skills related to the use of the application. Which of the following topics would be most
appropriate for the additional materials to address?
A. reflections, rotations, and translations
B. area of composite figures
C. similarity and proportional reasoning
D. graphs of simple equations
, B - ANS-Use the problem and solution below to answer the question that follows.
Problem: Show that x + x = 2x.
Solution: Use the distributive property to factor an x from the expression shown below.
x + x = xtimes(1 + 1)
We know that 1 + 1 = 2. Therefore, x + x = xtimes(1 + 1) = xtimes(2), which is the same
as 2x by the commutative property.
The solution provided can best be described as:
A. an axiom.
B. a proof.
C. a postulate.
D. a definition.
C - ANS-A student's work sample is shown below.
2/3 + 2 3/4 = 2/3 + 3/4 +2 = 2/3 * 4/4 + 3/4 * 3/3 = 8/12 + 9/12 = 17/12 + 2 = 1 17/12 +2
= 1 5/12 + 2 = 3 5/12
Which of the following statements best evaluates the student's work?
A. The student found the common denominator incorrectly.
B. The student converted the mixed numeral incorrectly.
C. The student used the equal sign incorrectly.
D. The student used the order of operations incorrectly.
C - ANS-Integers are a subset of which of the following sets of numbers?
A. negative numbers
B. natural numbers
C. rational numbers
D. irrational numbers
D - ANS-Which of the following activities is most effective for creating a foundation for
understanding the concept of multiplication?
A. practicing basic addition facts with numbers 1 through 10
B. using base-ten blocks to model two-digit numbers
C. modeling equality of numbers with a balance scale
D. skip counting by different intervals on a number line
B - ANS-If the least common denominator is used to perform the operation , what will be
the value of the numerator for the equivalent representation of ?
A. 2a
and Answers
C - ANS-Which of the following problem-solving strategies would be most effective and
appropriate to use in solving the problem below?
A company puts a free toy in each box of cereal and states that there is a one in four
chance of getting the astronaut toy with each purchase. On average, how many boxes
will need to be purchased to get an astronaut?
A.expressing numbers in base four
B. working backwards to find an equation
C. simulating the situation using a random process
D. graphing points on a coordinate system to find a pattern
D - ANS-A fifth-grade teacher is writing an article about mathematics activities in the
classroom. The article describes how students used manipulatives to solve
measurement problems. The teacher included trademark symbols with the name of the
manipulatives. The teacher also included photographs of students working with the
manipulatives. None of the students in the photographs were identified by name. To
ensure compliance with ethical guidelines, the teacher should take which of the
following actions prior to posting the article on the Internet?
A. providing links to the manufacturers of the manipulatives that have trademarked
names
B. providing a disclaimer stating that the school district does not endorse the
pedagogical methods used
C. explicitly identifying the manipulatives being used in a caption below each
photograph
D. obtaining permission from parents/guardians before posting pictures of the students
A - ANS-A fourth-grade teacher is planning a unit in which students will use a computer
application to create their own tessellations. The teacher would like to develop a series
of related activities and assessments to help develop students' mathematical reasoning
skills related to the use of the application. Which of the following topics would be most
appropriate for the additional materials to address?
A. reflections, rotations, and translations
B. area of composite figures
C. similarity and proportional reasoning
D. graphs of simple equations
, B - ANS-Use the problem and solution below to answer the question that follows.
Problem: Show that x + x = 2x.
Solution: Use the distributive property to factor an x from the expression shown below.
x + x = xtimes(1 + 1)
We know that 1 + 1 = 2. Therefore, x + x = xtimes(1 + 1) = xtimes(2), which is the same
as 2x by the commutative property.
The solution provided can best be described as:
A. an axiom.
B. a proof.
C. a postulate.
D. a definition.
C - ANS-A student's work sample is shown below.
2/3 + 2 3/4 = 2/3 + 3/4 +2 = 2/3 * 4/4 + 3/4 * 3/3 = 8/12 + 9/12 = 17/12 + 2 = 1 17/12 +2
= 1 5/12 + 2 = 3 5/12
Which of the following statements best evaluates the student's work?
A. The student found the common denominator incorrectly.
B. The student converted the mixed numeral incorrectly.
C. The student used the equal sign incorrectly.
D. The student used the order of operations incorrectly.
C - ANS-Integers are a subset of which of the following sets of numbers?
A. negative numbers
B. natural numbers
C. rational numbers
D. irrational numbers
D - ANS-Which of the following activities is most effective for creating a foundation for
understanding the concept of multiplication?
A. practicing basic addition facts with numbers 1 through 10
B. using base-ten blocks to model two-digit numbers
C. modeling equality of numbers with a balance scale
D. skip counting by different intervals on a number line
B - ANS-If the least common denominator is used to perform the operation , what will be
the value of the numerator for the equivalent representation of ?
A. 2a
