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MTTC Mathematics Test Questions with accurate detailed
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solutions
Which of the following problem-solving strategies would be most effective and appropriate
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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
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C. simulating the situation using a random process
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D. graphing points on a coordinate system to find a pattern - ✔✔C
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A fifth-grade teacher is writing an article about mathematics activities in the classroom. The
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article describes how students used manipulatives to solve measurement problems. The
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teacher included trademark symbols with the name of the manipulatives. The teacher also
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included photographs of students working with the manipulatives. None of the students in
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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
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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
|| || || || || || || || || || || ||
, 2
D. obtaining permission from parents/guardians before posting pictures of the students -
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✔✔D
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
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B. area of composite figures
|| || || ||
C. similarity and proportional reasoning
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D. graphs of simple equations - ✔✔A
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Use the problem and solution below to answer the question that follows.
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Problem: Show that x + x = 2x. || || || || || || ||
Solution: Use the distributive property to factor an x from the expression shown below.
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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.|| ||
MTTC Mathematics Test Questions with accurate detailed
|| || || || || || ||
solutions
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 - ✔✔C
|| || || || || || || || || || || ||
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
|| || || || || || || || || || || ||
, 2
D. obtaining permission from parents/guardians before posting pictures of the students -
|| || || || || || || || || || || ||
✔✔D
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 - ✔✔A
|| || || || || ||
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.|| ||
