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FTCE Math GKT Exam 2025/2026 – 120+ Solved Questions & Explanations | Algebra, Geometry, Probability, Graphs, Word Problems

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This document features 120+ solved questions with step-by-step solutions from the FTCE General Knowledge Test (GKT) – Mathematics Section, updated for the 2025/2026 Florida teacher certification cycle. It is tailored for aspiring educators seeking to fulfill Florida’s state requirement for math proficiency through the GKT exam, often needed for initial teacher certification. All problems are presented in multiple-choice format, matching official FTCE standards and structure. Detailed explanations are included to help users understand both the correct answers and the test-taking logic. Covered domains include: Number Operations & Proportions: order of operations, ratios, proportions, percent problems, unit conversions Algebraic Thinking: solving linear equations, inequalities, expressions, systems of equations, exponents, and polynomials Data & Probability: interpreting charts and tables, probability of compound events, mean/median/mode/range, box plots Geometry & Measurement: perimeter, area, volume, triangles, circles, coordinate plane, slopes, and angle properties Graph Interpretation: analyzing bar graphs, line graphs, coordinate planes, and function behavior Applied Word Problems: multi-step real-world applications involving cost, distance, time, and percent changes Perfect for: Teacher candidates preparing for the FTCE GKT Math exam Florida educators in alternative certification programs (e.g., Educator Preparation Institutes) College of Education students fulfilling GKT math readiness requirements Tutors and test prep centers supporting future teachers The solutions support math comprehension beyond memorization, ensuring users gain confidence in solving diverse problem types under timed conditions. Keywords: FTCE math GKT, Florida teacher test, GKT algebra problems, FTCE geometry review, teacher certification Florida, FTCE proportions, probability questions FTCE, graph analysis GKT, data interpretation test, slope and graphing, solving equations FTCE, word problems education, GKT practice test math, FTCE coordinate plane, FTCE test prep 2025

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Uploaded on
September 23, 2025
Number of pages
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Written in
2025/2026
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Math GKT 2025/2026 Exam Questions
with 100% Correct Answers | Latest
Update



Mrs. Green was told that she could reduce her heating expenses at least

20% by increasing the insulation of her house. After doing so, she found

her average monthly bill for oil decreased from $80 to $60. What fractional

part of her former heating expenses did Mrs. Green save by adding

insulation. - 🧠 ANSWER ✔✔1/4


A woman buys eight items at the grocery store. The lightest item weighs 6

ounces and the heaviest item weighs 14 ounces. The woman buys 4 items

the weigh 10 ounces per item. Which of the following is the maximum

weight of the items purchased? - 🧠 ANSWER ✔✔88oz.


Simplify


6-8/2x4 - 🧠 ANSWER ✔✔-10

,Simplify


(1+2) to the 2 power -2(3-4)to the 3 power - 🧠 ANSWER ✔✔11


In triangle ABC, AB=AC and angle A measures 40. What is the measure of

angle B? - 🧠 ANSWER ✔✔70


The driving distance between tallahassee and Tampa is 280 miles. If 1/2

inch on a map represents 40 miles, what is the distance in inches between

the cities? - 🧠 ANSWER ✔✔3.5 in.


A milligram would be the most appropriate unit to use for measuring the

mass of a - 🧠 ANSWER ✔✔Feather with a 1-inch length


A child is cutting steaks from a 12-pound section of beef. Allowing '/2

pound for waste, how many 8-ounce steaks can be prepared from the

section of beef? - 🧠 ANSWER ✔✔23 steaks


If fencing is $4.00 per yard, how much will it cost a farmer to fence a

rectangular field with dimensions 300 feet by 600 feet? - 🧠 ANSWER

✔✔$2400


Find an algebraic expression equivalent to 2x/3 + 3y14 - 🧠 ANSWER

✔✔8x/12 + 9y112

,The function h = 2d + 4 represents the height (h) in inches of a plant after a

certain number of days' (d) growth. Which of the following represents the

height of the plant for the first two days? - 🧠 ANSWER ✔✔d=0 1 2


h=4 6 8

Which algebraic expression can be used,to determine the sale price?

(chart) regular price/sale price - 🧠 ANSWER ✔✔S=3/4 r


Which of the following is the solution of 3(4-2x)-(2x-2)=38 - 🧠 ANSWER

✔✔-3


Which of the following values is the solution to the given equation? 2(h —

6) = -(16 + 3h) - 🧠 ANSWER ✔✔-4/5


Which of the following values is the solution to the given equation?


6 — 2(4-x)=8 - 🧠 ANSWER ✔✔5


The teacher is following the student work shown below. The student was

attempting to find an equivalent expression for

(x — 1)(x + 1) — (x + 2)(x — 2)

Step 1: (x — 1)(x + 1) — (x - 2)(x + 2) = (x2 — 1) — (x2— 4)

Step 2: (x2 — 1) — ( x2 7 4) = x2— 1 — x2 - 4

COPYRIGHT©PROFFKERRYMARTIN 2025/2026. YEAR PUBLISHED 2025. COMPANY REGISTRATION NUMBER: 619652435. TERMS OF USE.
PRIVACY STATEMENT. ALL RIGHTS RESERVED

, Step 3: x2-1—x2-4x2—x2-l-4

Step 4: x2— x2 — 1 — 4 = -5

The teacher notes that the student committed a single error. During which

of the following steps did the student first commit the error? - 🧠 ANSWER

✔✔Step 2


A salesperson earns $50 a day plus a 25% commission of all sales_ Which

of the following graphs shows the salesperson's earnings per day? - 🧠

ANSWER ✔✔Graph B


Which of the following sets of ordered pairs represents a function? - 🧠

ANSWER ✔✔{(0,0), (1,1)}


Line A is described by the equation 4.y t 3x = 12. Line B is parallel to line A.

Which of the following is the slope of line B? - 🧠 ANSWER ✔✔-3/4


A student recorded the number of chin-ups she did at the gym during the

past few weeks. The following list shows her chin-up totals.

13, 6, 23, 7, 8, 23, 9, 16, 12, 14

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