FTCE K-6 MATH TEST PAPER 2025/2026 QUESTIONS AND
SOLUTIONS GRADED A+
✔✔Christopher is learning about the meanings of metric prefixes. Which prefix and
meaning are correctly matched? - ✔✔A. hecto, 10^2
✔✔Ms. Duncan's students have the following scores on a math test. What is true of the
scores?
Ken Mary Audre Phil Luke Jasper Megan Kate Tomas Maria
100 50 65 90 95 85 75 100 100 90 - ✔✔B. The average is 85. 100 + 50 + 65 + 90 + 95
+ 85 + 75 + 100 + 100 + 90/10 = 850/10 =85.
✔✔Based on the information in Question 33, what is the absolute standard deviation for
the scores on Mrs. Duncan's math test?Ken Mary Audre Phil Luke Jasper Megan Kate
Tomas Maria
100 50 65 90 95 85 75 100 100 90 - ✔✔C. 13 he absolute standard deviation is equal to
sum of the absolute values of each score - mean/total number of scores. 100 - 85 = 15;
50 - 85 = 35; 65 -85 = 20; 90 - 85 = 5; 95 - 85 = 10; 85 - 85 = 0; 75 - 85 = 10; 100 - 85 =
15; 100 - 85 = 15; 90 -85 = 5; 15 + 35 + 20 + 5 + 10 + 0 + 10 + 15 + 15 + 5 = 130/10=
13.
✔✔Alyssa is adding 37, 11, and 22. She thinks, "7 + 1 + 2 = 10 and 30 + 10 + 20 = 60
and 60 + 10 = 70 so the answer is 70." What process is she using to solve the
equation? - ✔✔A. compensation compensation is a form of addition in which numbers
are grouped by tens and ones.
✔✔Which sign makes the following statement true?
18 ? () = 9 - ✔✔B. /
✔✔Convert 1/8 to a decimal - ✔✔C. .125
✔✔Ms. Arton's students are working in small groups on computers to conduct research
for their math projects. As she walks around the room, she notices that some students
have difficulty interacting in the groups and that others are having problems using the
technology. This is an example of - ✔✔A. behavioral assessment
✔✔Mr. Jeffries has ordered some new materials for his first-grade math class. One of
the items he ordered is a set of ten different colored, rectangular pieces ranging in
lengths from 1 cm to 10 cm. What material is this? - ✔✔E. cuiseinaire rods
✔✔In the equation 37 x 16 = 592, 592 is called the - ✔✔B. product
✔✔In terms of cognitive complexity and depth of learning in the Florida Standards
Depth of Knowledge Levels, which activity is at the Moderate: Basic Application of Skills
, & Concepts level? - ✔✔D. Mr. Carpenter's third-grade class records and graphs
weather data.
✔✔What is true of fractions? - ✔✔C. They can be written as decimals
✔✔The relationship between two variables is - ✔✔A. a correlation
✔✔Which of the following is a summative assessment? - ✔✔B. unit exam
✔✔Learner-centered instruction - ✔✔is informed by constructivist theories in which
children are actively involved in exploring and learning.
✔✔Cooperative Learning: - ✔✔structured groups which combine positive
interdependence (e.g., each person has an important contribution to the success of the
entire group) with individual accountability to develop social skills as well as content
knowledge through group interactions and processing
✔✔•Collaborative Learning: - ✔✔loosely structured groups that allow students to learn
from and with each other
✔✔Peer Tutoring: - ✔✔one student helps another student master a concept
✔✔Problem-Based Learning: - ✔✔working together to solve complex, open-ended
problems (e.g., creating a menu for Thanksgiving dinner for a given number of people
which includes serving sizes/ amounts and then using grocery ads to determine the cost
per person for the dinner)
✔✔•Simulations: - ✔✔Depicting and modeling real-life situations (e.g., stock market
game; getting "paid" for classroom tasks and then using the "money" to purchase goods
or services)
✔✔•Instructional Games: - ✔✔Rule-guided competition for practicing and refining
concepts (e.g., math bingo; drill and practice software or online apps)
✔✔Contextual Learning: - ✔✔authentic real-life situations (e.g., learning math and
science by having a class garden project)
✔✔manipulatives - ✔✔give students concrete ways to assimilate concepts, but tangible
materials are appropriate and helpful in all subject areas.
✔✔Piaget's Theory (and neo-Piagetian) - ✔✔The theory describes learning in discrete
and predictable cognitive stages. This theory also describes learners moving from
simpler and concrete ways of thinking to more complex and abstract ways of thinking
and problem solving.
SOLUTIONS GRADED A+
✔✔Christopher is learning about the meanings of metric prefixes. Which prefix and
meaning are correctly matched? - ✔✔A. hecto, 10^2
✔✔Ms. Duncan's students have the following scores on a math test. What is true of the
scores?
Ken Mary Audre Phil Luke Jasper Megan Kate Tomas Maria
100 50 65 90 95 85 75 100 100 90 - ✔✔B. The average is 85. 100 + 50 + 65 + 90 + 95
+ 85 + 75 + 100 + 100 + 90/10 = 850/10 =85.
✔✔Based on the information in Question 33, what is the absolute standard deviation for
the scores on Mrs. Duncan's math test?Ken Mary Audre Phil Luke Jasper Megan Kate
Tomas Maria
100 50 65 90 95 85 75 100 100 90 - ✔✔C. 13 he absolute standard deviation is equal to
sum of the absolute values of each score - mean/total number of scores. 100 - 85 = 15;
50 - 85 = 35; 65 -85 = 20; 90 - 85 = 5; 95 - 85 = 10; 85 - 85 = 0; 75 - 85 = 10; 100 - 85 =
15; 100 - 85 = 15; 90 -85 = 5; 15 + 35 + 20 + 5 + 10 + 0 + 10 + 15 + 15 + 5 = 130/10=
13.
✔✔Alyssa is adding 37, 11, and 22. She thinks, "7 + 1 + 2 = 10 and 30 + 10 + 20 = 60
and 60 + 10 = 70 so the answer is 70." What process is she using to solve the
equation? - ✔✔A. compensation compensation is a form of addition in which numbers
are grouped by tens and ones.
✔✔Which sign makes the following statement true?
18 ? () = 9 - ✔✔B. /
✔✔Convert 1/8 to a decimal - ✔✔C. .125
✔✔Ms. Arton's students are working in small groups on computers to conduct research
for their math projects. As she walks around the room, she notices that some students
have difficulty interacting in the groups and that others are having problems using the
technology. This is an example of - ✔✔A. behavioral assessment
✔✔Mr. Jeffries has ordered some new materials for his first-grade math class. One of
the items he ordered is a set of ten different colored, rectangular pieces ranging in
lengths from 1 cm to 10 cm. What material is this? - ✔✔E. cuiseinaire rods
✔✔In the equation 37 x 16 = 592, 592 is called the - ✔✔B. product
✔✔In terms of cognitive complexity and depth of learning in the Florida Standards
Depth of Knowledge Levels, which activity is at the Moderate: Basic Application of Skills
, & Concepts level? - ✔✔D. Mr. Carpenter's third-grade class records and graphs
weather data.
✔✔What is true of fractions? - ✔✔C. They can be written as decimals
✔✔The relationship between two variables is - ✔✔A. a correlation
✔✔Which of the following is a summative assessment? - ✔✔B. unit exam
✔✔Learner-centered instruction - ✔✔is informed by constructivist theories in which
children are actively involved in exploring and learning.
✔✔Cooperative Learning: - ✔✔structured groups which combine positive
interdependence (e.g., each person has an important contribution to the success of the
entire group) with individual accountability to develop social skills as well as content
knowledge through group interactions and processing
✔✔•Collaborative Learning: - ✔✔loosely structured groups that allow students to learn
from and with each other
✔✔Peer Tutoring: - ✔✔one student helps another student master a concept
✔✔Problem-Based Learning: - ✔✔working together to solve complex, open-ended
problems (e.g., creating a menu for Thanksgiving dinner for a given number of people
which includes serving sizes/ amounts and then using grocery ads to determine the cost
per person for the dinner)
✔✔•Simulations: - ✔✔Depicting and modeling real-life situations (e.g., stock market
game; getting "paid" for classroom tasks and then using the "money" to purchase goods
or services)
✔✔•Instructional Games: - ✔✔Rule-guided competition for practicing and refining
concepts (e.g., math bingo; drill and practice software or online apps)
✔✔Contextual Learning: - ✔✔authentic real-life situations (e.g., learning math and
science by having a class garden project)
✔✔manipulatives - ✔✔give students concrete ways to assimilate concepts, but tangible
materials are appropriate and helpful in all subject areas.
✔✔Piaget's Theory (and neo-Piagetian) - ✔✔The theory describes learning in discrete
and predictable cognitive stages. This theory also describes learners moving from
simpler and concrete ways of thinking to more complex and abstract ways of thinking
and problem solving.
