FTCE K-6 MATH EXAMS 2025/2026 QUESTIONS AND
SOLUTIONS GRADED A+
✔✔Principal Fitzmorris has put together a presentation. He wants to show the number
of students in each grade as a proportion of the total number of students at the school.
What should he use? - ✔✔E. pie chart
✔✔Cassie is solving the following math problem.
The number of people going to a movie on Monday is 95. If increased by a factor of 5
on Saturday night, what is the attendance at the movie on Saturday night? - ✔✔E.
multiply 5 by 95
✔✔In terms of number theory, which of the following is true? - ✔✔B. Only whole
numbers ending in 0, 2, 4, 6, and 8 are divisible by 2.
✔✔Which of the following statements about numbers is true? - ✔✔C. A fraction is the
same as a rational number
✔✔Ms. Wood is using a contextual approach to teaching math to her first-grade class.
What would you expect to see in her classroom? - ✔✔A. students learning about
measurements by making recipes
✔✔Kaitlyn is using tans in her class. What mathematical concept is Kaitlyn most likely
to be learning? - ✔✔B. spatial reasoning
✔✔Measures of central tendency - ✔✔C. describe data as a single number.
✔✔In the following data set, 9 is which of the following?
1, 4, 6, 7, 9, 13, 14, 14, 21 - ✔✔D. median
✔✔In a data set, what is the average distance from each data point in the set to the
average? - ✔✔D. the absolute standard deviation
✔✔Mr. Green is teaching his third-grade students about money and money
management using "Green Bucks." Just as workers get paid to come to work, his
students get "paid" to come to class and get there on time. His students also get paid
for their "work" in class or for homework. Higher grades get more money; however,
students can get paid "overtime" by correcting their work. He has a variety of ways in
which students can spend their money. They can buy small items at the "Green Store"
each week, purchase recess or free time, or save for monthly "Big Green Deals." What
method is Mr. Green using? - ✔✔B. simulation
✔✔Each day, Mr. Varnado has a "problem of the day" as bellwork for his 5th grade
class. In today's problem, he shows them how to use 8 toothpicks to make the shape of
, a fish. Then he challenges them to move 3 of the toothpicks so that the fish is going in
the opposite direction. This type of problem would be classified as a - ✔✔C. puzzle.
✔✔Ms. Cane's fifth-grade math class has been learning about expressions. Which
student made the correct comment about expressions? - ✔✔C. Collier: Verbal
expressions use the language of math.
✔✔Jennifer is sorting beads. She has made several groups. One group contains beads
that are both red and round. One group contains beads that are both blue and round.
One group contains beads that are both blue and square. One group contains beads
that are both red and square. In Piagetian terms, Jennifer's ability to sort beads is at the
- ✔✔D. concrete level
✔✔Becky is learning about place value. Given the number, 1345.29, which of the
following is correctly matched with its place value? - ✔✔D. 5, ones place
✔✔Mr. Ellis is teaching his first-grade students subtraction and wants them to
understand the correct vocabulary for each part of a problem. Given the problem 12 - 3
= 9, which word would be used to label the 3? - ✔✔B. subtrahend
✔✔6(5 + 3) = (6 x 5) + (6 x 3) exemplifies - ✔✔A. the distributive property of
multiplication over addition.
✔✔PEMDAS is an acronym for remembering - ✔✔the order of operations.
✔✔3+addend = sum - ✔✔3+addend = sum
✔✔Minuend - Subtrahend = Difference - ✔✔Minuend - Subtrahend = Difference
✔✔3 x Factor = Product - ✔✔3 x Factor = Product
✔✔Divided / Divisor = Quotient - ✔✔Divided / Divisor = Quotient
✔✔Multiplicative property - ✔✔ax1=a
✔✔Property of reciprocals - ✔✔a x 1/a = a
✔✔Additive property of 0 is - ✔✔a + 0 = a
✔✔Commutative property for addition/multiplication is - ✔✔a+b = b+a
axb=bxa
SOLUTIONS GRADED A+
✔✔Principal Fitzmorris has put together a presentation. He wants to show the number
of students in each grade as a proportion of the total number of students at the school.
What should he use? - ✔✔E. pie chart
✔✔Cassie is solving the following math problem.
The number of people going to a movie on Monday is 95. If increased by a factor of 5
on Saturday night, what is the attendance at the movie on Saturday night? - ✔✔E.
multiply 5 by 95
✔✔In terms of number theory, which of the following is true? - ✔✔B. Only whole
numbers ending in 0, 2, 4, 6, and 8 are divisible by 2.
✔✔Which of the following statements about numbers is true? - ✔✔C. A fraction is the
same as a rational number
✔✔Ms. Wood is using a contextual approach to teaching math to her first-grade class.
What would you expect to see in her classroom? - ✔✔A. students learning about
measurements by making recipes
✔✔Kaitlyn is using tans in her class. What mathematical concept is Kaitlyn most likely
to be learning? - ✔✔B. spatial reasoning
✔✔Measures of central tendency - ✔✔C. describe data as a single number.
✔✔In the following data set, 9 is which of the following?
1, 4, 6, 7, 9, 13, 14, 14, 21 - ✔✔D. median
✔✔In a data set, what is the average distance from each data point in the set to the
average? - ✔✔D. the absolute standard deviation
✔✔Mr. Green is teaching his third-grade students about money and money
management using "Green Bucks." Just as workers get paid to come to work, his
students get "paid" to come to class and get there on time. His students also get paid
for their "work" in class or for homework. Higher grades get more money; however,
students can get paid "overtime" by correcting their work. He has a variety of ways in
which students can spend their money. They can buy small items at the "Green Store"
each week, purchase recess or free time, or save for monthly "Big Green Deals." What
method is Mr. Green using? - ✔✔B. simulation
✔✔Each day, Mr. Varnado has a "problem of the day" as bellwork for his 5th grade
class. In today's problem, he shows them how to use 8 toothpicks to make the shape of
, a fish. Then he challenges them to move 3 of the toothpicks so that the fish is going in
the opposite direction. This type of problem would be classified as a - ✔✔C. puzzle.
✔✔Ms. Cane's fifth-grade math class has been learning about expressions. Which
student made the correct comment about expressions? - ✔✔C. Collier: Verbal
expressions use the language of math.
✔✔Jennifer is sorting beads. She has made several groups. One group contains beads
that are both red and round. One group contains beads that are both blue and round.
One group contains beads that are both blue and square. One group contains beads
that are both red and square. In Piagetian terms, Jennifer's ability to sort beads is at the
- ✔✔D. concrete level
✔✔Becky is learning about place value. Given the number, 1345.29, which of the
following is correctly matched with its place value? - ✔✔D. 5, ones place
✔✔Mr. Ellis is teaching his first-grade students subtraction and wants them to
understand the correct vocabulary for each part of a problem. Given the problem 12 - 3
= 9, which word would be used to label the 3? - ✔✔B. subtrahend
✔✔6(5 + 3) = (6 x 5) + (6 x 3) exemplifies - ✔✔A. the distributive property of
multiplication over addition.
✔✔PEMDAS is an acronym for remembering - ✔✔the order of operations.
✔✔3+addend = sum - ✔✔3+addend = sum
✔✔Minuend - Subtrahend = Difference - ✔✔Minuend - Subtrahend = Difference
✔✔3 x Factor = Product - ✔✔3 x Factor = Product
✔✔Divided / Divisor = Quotient - ✔✔Divided / Divisor = Quotient
✔✔Multiplicative property - ✔✔ax1=a
✔✔Property of reciprocals - ✔✔a x 1/a = a
✔✔Additive property of 0 is - ✔✔a + 0 = a
✔✔Commutative property for addition/multiplication is - ✔✔a+b = b+a
axb=bxa
