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FTCE General Knowledge Mathematics Practice Test 1 Exam Questions & Verified Answers | Algebra, Inequalities, Geometry, Percentages, Fractions, Decimals, Ratios, Probability & Word Problems | Updated 2026/2027 | Instant Download

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FTCE General Knowledge Mathematics Practice Test 1 Exam Questions & Verified Answers is an exam-focused mathematics review resource covering essential concepts tested in the FTCE General Knowledge Mathematics section. It combines multiple-choice questions with answer explanations and step-by-step mathematical reasoning to help candidates review problem-solving strategies and strengthen their understanding of core mathematics skills. Topics covered include: • Algebraic equations and solving for unknown variables • Rectangle perimeter and geometric word problems • Writing and interpreting inequalities • Greater than, less than, and “no less than” inequality relationships • Commission, base pay, and financial word problems • Comparing negative numbers and numerical values • Square roots and ordering real numbers • Converting percentages, fractions, and decimals • Ordering numbers from least to greatest • Percent calculations and proportional reasoning • Cell phone billing and cost-sharing problems • Data charges, percentages, and multi-step calculations • Probability using favorable outcomes and total outcomes • Fractions and probability • Mathematical word problems • Quantitative reasoning and problem-solving • Arithmetic and number sense • Geometry and measurement • Algebraic reasoning • Test-taking strategies for interpreting mathematical questions This resource is useful for FTCE General Knowledge Mathematics preparation, teacher certification exam review, and focused study of common algebra, geometry, probability, percentage, fraction, decimal, and quantitative reasoning concepts. The included explanations demonstrate how to identify the correct mathematical operation, translate word problems into equations or inequalities, compare numerical values, convert between numerical forms, and solve probability and percentage problems efficiently. Updated 2026/2027 | Instant Download

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FTCE General
Knowledge
Mathematics practice
test 1 Exam Questions
Provided with A+
Graded Answers |
Latest Updated 2026

,The length of a deck is 5 less than twice the width with a perimeter of 62 feet.
What is the width of the deck rounded to the nearest tenth?



A. 12.0


B. 12.3


C. 12.8


D. 13.1


A. 12.0



This question is asking you to find the perimeter. Perimeter is the result of
ADDING all the sides of the shape. In this case, we have a rectangular deck. The
length is 5 less than twice the width, which is written 2w-5. And the width is just
w.


When you add up all the sides, you


get; 2w-5 + 2w-5 + w +w=62


6w - 10 =62


Solve the equation by adding 10 to each


side: 6w -10 =62


6w = 72


Divide each side by 6:


w = 12




Left and right side of the rectangle- w

,Top and bottom of the rectangle- 2w-5


A car salesperson makes 30% commission from all sales during the month. His base
pay is
$240 per month plus what he makes on sales commission. Which of the
following inequalities represents his pay at the end of the month so that he
makes no less than
$640?



A. .3x + 240 < 640


B. .3x + 240 > 640


C. .3x + 240 <_ 640


D. .3x + 240 >_ 640


D. .3x + 240 >_ 640


In this equation, you are being asked to write an equation, not solve an
equation. Pay attention to the very last line in the question, ". he
make NO LESS THAN $640?"
Immediately eliminate any answer choice with a less than sign (<), so A and C
are out. Then look at the greater than (>) signs in your answer choices. If he
makes NO LESS than $640, that means he can make exactly $640 and he can
make more than $640. So, the correct choice should be greater than or equal
to (>_), and that makes D the correct choice.

, Of the following, which number is greatest?


-12, - 10, -21/2, -Square root 145



A. -12


B. -10


C. -21/2


D. - square root 145


D. - square root 145


Pay attention to the negative numbers here. -10 is greater than any of the other
numbers:
-12, -21/10 = -10.5, - square root 145 = -12.04

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