General Knowledge: Mathematics
1 free practice test · 35 questions · 1h 40min · No sign-up required
About This Exam
The Mathematics subtest is one of four subtests of the FTCE General Knowledge Test (082). It assesses your ability to solve mathematical problems at approximately the high school level, covering arithmetic, algebra, geometry, measurement, and statistics. An on-screen four-function calculator and a mathematics reference sheet are provided during the real exam. This subtest tests your own math skills, not your ability to teach mathematics.
What's Covered
- Number sense, concepts, and operations — fractions, decimals, percentages, ratios, order of operations, and real-world applications of arithmetic
- Geometry and measurement — area, perimeter, volume, surface area, unit conversions, properties of geometric figures, and similar figures
- Algebraic thinking and the coordinate plane — solving equations and inequalities, evaluating expressions, identifying functions, slope, linear equations, and graphing
- Probability, statistics, and data interpretation — mean, median, mode, range, standard deviation interpretation, probability, sampling methods, correlation vs. causation, and reading graphs
For the official exam description, see the official FTCE General Knowledge Test page.
Study Tips
- A four-function calculator is provided on the real exam, so you do not need to memorize complex calculations. Focus on knowing when and how to set up problems correctly.
- Geometry and measurement questions are common. Memorize the formulas for area and perimeter of rectangles, triangles, and circles, and the volume of rectangular prisms and cylinders.
- For word problems, identify what is being asked before you start calculating. Many errors come from solving for the wrong quantity.
- Statistics questions frequently test whether you understand the difference between mean, median, and mode — and when each is the most appropriate measure. Know that the mean is affected by outliers while the median is not.
- Be careful with questions about misleading graphs. The most common trick is a vertical axis that does not start at zero, which exaggerates differences between bars or data points.
How to Register
Register at fl.nesinc.com. The full General Knowledge Test costs $130. You can take all four subtests together or schedule them separately. A scaled score of 200 is required to pass each subtest. Military personnel, veterans, and their spouses may be eligible for certification exam fee waivers through the Florida Department of Education.
About Our Practice Tests
All questions are original and written to match the difficulty, format, and topic coverage of the real exam based on official exam descriptions. We offer two modes: Practice Mode gives you instant feedback and explanations after each question, and Test Mode simulates the real exam with a timer and no feedback until you submit. Both modes are completely free with no account required.
Sample Practice Questions
Review these sample questions to get a feel for the exam. For the full interactive experience, use the Practice Tests above.
- A) $13.50
- B) $15.00
- C) $31.50
- D) $33.00
View Answer & Explanation
Correct Answer:
C) $31.50
Explanation:
30% of $45 = 0.30 x 45 = $13.50 discount. Sale price = $45 - $13.50 = $31.50.
- A) 4
- B) 8
- C) 16
- D) 28
View Answer & Explanation
Correct Answer:
C) 16
Explanation:
Following the order of operations: (18 - 6) = 12; (2 + 1) = 3; 12 / 3 = 4; (4 x 3) = 12; 4 + 12 = 16.
- A) 81.0
- B) 84.5
- C) 85.0
- D) 86.0
View Answer & Explanation
Correct Answer:
B) 84.5
Explanation:
Drop the lowest grade (67). Remaining grades: 78, 84, 91, 85. Mean = (78 + 84 + 91 + 85) / 4 = 338 / 4 = 84.5.
- A) 0.250
- B) 0.375
- C) 0.380
- D) 0.833
View Answer & Explanation
Correct Answer:
B) 0.375
Explanation:
3/8 = 3 divided by 8 = 0.375. You can verify: 0.375 x 8 = 3.
- A) 12 3/4
- B) 14 1/2
- C) 16 1/2
- D) 18 3/4
View Answer & Explanation
Correct Answer:
C) 16 1/2
Explanation:
2 3/4 = 11/4. For 6 batches: 11/4 x 6 = 66/4 = 16 2/4 = 16 1/2 cups.