FTCE ELEMENTARY EDUCATION K 6
MATHEMATICS TEST BANK 2026
COMPLETE STUDY SHEET SOLVED
QUESTIONS
● During a lesson on using models in mathematics, a teacher asks the
students to figure out how many hours they spend on homework for all
their classes each year. In asking this question, the teacher has asked the
class to:
A
demonstrate an understanding of the estimation process.
B
demonstrate their ability to use statistics with data.
C
demonstrate the use of symbols to represent mathematical quantities.
D
demonstrate their proficiency with the use of proofs.. Answer:
demonstrate an understanding of the estimation process.
Students will need to apply several estimates to determine the amount of
time they spend on homework each year.
● Fill in the blank. In a triangular prism, there are ______ vertices.
4
,5
6
8. Answer: 6
In a three-dimensional shape, vertices are where two or more edges or
line segments meet. A triangular prism has 2 triangular bases connected
by 3 sides. This forms 6 vertices.
● Mr. Beehler divides his students into teams of 4 and gives each team a
large whiteboard and a set of manipulative tiles. Mr. Beehler then writes
a complex mathematical problem on the board for all of the teams to see.
Mr. Beehler asks each team to solve the problem in as many different
ways as they can and to draw or write each procedure on their
whiteboards. After the teams are finished, they present their different
solutions to the class.
Which component of math fluency are the teams practicing during this
activity?
A
rate
B
accuracy
C
flexibility
D
automaticity. Answer: flexibility
, Flexibility is the ability to solve problems in multiple ways, which is
what each team is asked to do.
● A fifth-grade teacher is beginning a unit on equivalent fractions with
her students. If this is an introductory lesson, which of the following
activities would be the most effective in helping the students understand
the concept of equivalent fractions?
A
begin with the concept that 50¢ is ½ of $1; 25¢ is ½ of 50¢; 5¢ is ½ of
10¢
B
compare pictures showing ½ of a variety of different objects
C
use pattern blocks to model different fractions equivalent to ½
D
find as many fractions as possible equivalent to ½ in one minute.
Answer: use pattern blocks to model different fractions equivalent to ½
Since this is an introductory activity, concrete, proportional manipulative
materials like this should be used for concept development. It is
important not to rush past this step and to use a variety of different
materials to develop and reinforce understanding of this concept.
● A student is working through a double-digit multiplication problem
and turns in the work pictured. Which of the following best describes the
student's error?
MATHEMATICS TEST BANK 2026
COMPLETE STUDY SHEET SOLVED
QUESTIONS
● During a lesson on using models in mathematics, a teacher asks the
students to figure out how many hours they spend on homework for all
their classes each year. In asking this question, the teacher has asked the
class to:
A
demonstrate an understanding of the estimation process.
B
demonstrate their ability to use statistics with data.
C
demonstrate the use of symbols to represent mathematical quantities.
D
demonstrate their proficiency with the use of proofs.. Answer:
demonstrate an understanding of the estimation process.
Students will need to apply several estimates to determine the amount of
time they spend on homework each year.
● Fill in the blank. In a triangular prism, there are ______ vertices.
4
,5
6
8. Answer: 6
In a three-dimensional shape, vertices are where two or more edges or
line segments meet. A triangular prism has 2 triangular bases connected
by 3 sides. This forms 6 vertices.
● Mr. Beehler divides his students into teams of 4 and gives each team a
large whiteboard and a set of manipulative tiles. Mr. Beehler then writes
a complex mathematical problem on the board for all of the teams to see.
Mr. Beehler asks each team to solve the problem in as many different
ways as they can and to draw or write each procedure on their
whiteboards. After the teams are finished, they present their different
solutions to the class.
Which component of math fluency are the teams practicing during this
activity?
A
rate
B
accuracy
C
flexibility
D
automaticity. Answer: flexibility
, Flexibility is the ability to solve problems in multiple ways, which is
what each team is asked to do.
● A fifth-grade teacher is beginning a unit on equivalent fractions with
her students. If this is an introductory lesson, which of the following
activities would be the most effective in helping the students understand
the concept of equivalent fractions?
A
begin with the concept that 50¢ is ½ of $1; 25¢ is ½ of 50¢; 5¢ is ½ of
10¢
B
compare pictures showing ½ of a variety of different objects
C
use pattern blocks to model different fractions equivalent to ½
D
find as many fractions as possible equivalent to ½ in one minute.
Answer: use pattern blocks to model different fractions equivalent to ½
Since this is an introductory activity, concrete, proportional manipulative
materials like this should be used for concept development. It is
important not to rush past this step and to use a variety of different
materials to develop and reinforce understanding of this concept.
● A student is working through a double-digit multiplication problem
and turns in the work pictured. Which of the following best describes the
student's error?
