Career upgrade: Learn practical AI skills for better jobs and higher pay.
Level up
PracticeVideosBlogFlashcardsEspañol
All Practice Exams

100+ Free MTLE Mathematics (Grades 5-12) Practice Questions

Pass your MTLE Mathematics (Grades 5-12) Subtests 1 and 2 (Tests 207 and 208) exam on the first try — instant access, no signup required.

✓ No registration✓ No credit card✓ No hidden fees✓ Start practicing immediately
100+ Questions
100% Free
1 / 100
Question 1
Score: 0/0

Using the quadratic formula, what is the discriminant of 2x^2 + 4x + 5 = 0, and what does it indicate?

A
B
C
D
to track
Same family resources

Explore More MTLE Minnesota Teacher Licensure Exams

Continue into nearby exams from the same family. Each card keeps practice questions, study guides, flashcards, videos, and articles in one place.

MTLE Chemistry (Grades 9-12) (058)

Practice Questions

MTLE Communication Arts/Literature (Grades 5-12) (202)

Practice Questions

MTLE Early Childhood Education (Birth to Grade 3) (204)

Practice Questions

MTLE Earth and Space Science (Grades 9-12) (060)

Practice Questions

MTLE Elementary Education (Grades K-6) (191)

Practice Questions

MTLE English as a Second Language (Grades K-12) (194)

Practice Questions
2026 Statistics

Key Facts: MTLE Mathematics (Grades 5-12) Exam

228 / 227

Passing Scaled Scores (Subtest 1 / Subtest 2)

MTLE Mathematics (5-12) test page

$78.50

Fee Per Subtest (2026)

MTLE Mathematics (5-12) test page

48 MC

Questions Per Subtest

MTLE Mathematics (5-12) test page

1 hr 15 min

Testing Time Per Subtest

MTLE Mathematics (5-12) test page

5 subareas

Content Subareas Across 2 Subtests

MTLE Mathematics (5-12) frameworks

57%

Functions, Algebra, and Calculus Weight (Subtest 1)

MTLE Mathematics (5-12) Subtest 1 framework

2 subtests

Both Required for Licensure

MTLE Mathematics (5-12) test page

MTLE Mathematics (Grades 5-12) is Minnesota's secondary mathematics content licensure test, administered by Pearson for PELSB as two computer-based subtests. Subtest 1 (Test 207) is weighted Number Sense 43% and Functions, Algebra, and Calculus 57%; Subtest 2 (Test 208) is weighted Measurement and Geometry 38%, Data, Probability, and Discrete Mathematics 37%, and Mathematical Processes 25%. Each subtest has about 48 multiple-choice questions with 1 hour 15 minutes of testing time, and the passing scaled scores are 228 for Subtest 1 and 227 for Subtest 2. The current fee is $78.50 per subtest. This free 100-question bank mirrors the official subarea weighting across both subtests so candidates can practice every content area.

Sample MTLE Mathematics (Grades 5-12) Practice Questions

Try these sample questions to test your MTLE Mathematics (Grades 5-12) exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Which of the following sets is the set of all numbers that can be written in the form a/b, where a and b are integers and b is not equal to 0?
A.The rational numbers
B.The irrational numbers
C.The whole numbers
D.The integers
Explanation: By definition, a rational number is any number expressible as a ratio a/b of two integers with a nonzero denominator. This includes all integers, terminating decimals, and repeating decimals.
2A number is divisible by 6 if and only if it is divisible by which of the following pairs of numbers?
A.2 and 3
B.1 and 6
C.2 and 4
D.3 and 9
Explanation: Because 6 = 2 x 3 and 2 and 3 are relatively prime (coprime), a number is divisible by 6 exactly when it is divisible by both 2 and 3. This is a consequence of the fundamental theorem of arithmetic.
3What is the greatest common factor (GCF) of 48 and 60?
A.12
B.6
C.24
D.240
Explanation: Factoring gives 48 = 2^4 x 3 and 60 = 2^2 x 3 x 5. The GCF takes the lowest power of each shared prime: 2^2 x 3 = 12.
4What is the least common multiple (LCM) of 8, 12, and 18?
A.72
B.36
C.144
D.216
Explanation: Prime factorizations are 8 = 2^3, 12 = 2^2 x 3, and 18 = 2 x 3^2. The LCM uses the highest power of each prime: 2^3 x 3^2 = 8 x 9 = 72.
5Which property of real numbers is illustrated by the equation a(b + c) = ab + ac?
A.The distributive property
B.The associative property of addition
C.The commutative property of multiplication
D.The identity property of multiplication
Explanation: The distributive property of multiplication over addition states that multiplying a sum by a number equals the sum of the individual products, exactly the form a(b + c) = ab + ac.
6Simplify the expression: (3/4) + (2/3) - (1/2).
A.11/12
B.4/9
C.7/12
D.5/6
Explanation: Using a common denominator of 12: 3/4 = 9/12, 2/3 = 8/12, and 1/2 = 6/12. Then 9/12 + 8/12 - 6/12 = 11/12.
7Evaluate the expression 2 + 3 x 4^2 - 6 / 2 using the order of operations.
A.47
B.77
C.44
D.26
Explanation: Apply exponents first: 4^2 = 16. Then multiplication and division left to right: 3 x 16 = 48 and 6 / 2 = 3. Finally add and subtract: 2 + 48 - 3 = 47.
8A shirt originally priced at $40 is discounted by 25%, and then 8% sales tax is applied to the discounted price. What is the final amount paid?
A.$32.40
B.$30.00
C.$33.00
D.$34.40
Explanation: The discount gives 40 x (1 - 0.25) = 40 x 0.75 = $30. Tax adds 8%: 30 x 1.08 = $32.40.
9The ratio of boys to girls in a class is 3 to 5. If there are 24 boys, how many students are in the class total?
A.64
B.40
C.48
D.56
Explanation: If 3 parts equal 24 boys, then 1 part equals 8 students. Girls are 5 parts = 40, so the total is 24 + 40 = 64 students.
10Which of the following is equal to 0.00045 written in scientific notation?
A.4.5 x 10^-4
B.4.5 x 10^-3
C.45 x 10^-5
D.4.5 x 10^4
Explanation: To write 0.00045 in scientific notation, place the decimal after the first nonzero digit: 4.5. The decimal moved 4 places to the right, so the exponent is -4: 4.5 x 10^-4.

About the MTLE Mathematics (Grades 5-12) Exam

The MTLE Mathematics (Grades 5-12) test is the subject-matter assessment for the Minnesota grades 5-12 mathematics teaching license. It is delivered by Pearson as two computer-based subtests, each with approximately 48 multiple-choice questions. Subtest 1 (Test 207) covers Number Sense and Functions, Algebra, and Calculus, while Subtest 2 (Test 208) covers Measurement and Geometry, Data, Probability, and Discrete Mathematics, and Mathematical Processes. Candidates must pass both subtests for licensure.

Questions

100 scored questions

Time Limit

1 hour 15 minutes of testing per subtest (1 hour 30 minutes total appointment per subtest)

Passing Score

Subtest 1: 228; Subtest 2: 227 (scaled scores)

Exam Fee

$78.50 per subtest (Minnesota PELSB / Pearson)

MTLE Mathematics (Grades 5-12) Exam Content Outline

43% of Subtest 1

Number Sense (Subtest 1, Subarea I)

Properties of real and complex number systems, integers, divisibility, primes, GCF and LCM, operations with fractions, decimals, and percents, ratios and proportions, exponents and roots, scientific notation, order of operations, and estimation and number sense.

57% of Subtest 1

Functions, Algebra, and Calculus (Subtest 1, Subarea II)

Linear, quadratic, polynomial, rational, exponential, and logarithmic functions; solving equations, inequalities, and systems; factoring; sequences and series; function composition, inverses, domain, and range; and introductory calculus including limits, derivatives, and integrals.

38% of Subtest 2

Measurement and Geometry (Subtest 2, Subarea I)

Principles of measurement and unit conversion; perimeter, area, surface area, and volume; properties and relationships of two- and three-dimensional figures; the Pythagorean theorem and right-triangle trigonometry; coordinate geometry; and transformational geometry.

37% of Subtest 2

Data, Probability, and Discrete Mathematics (Subtest 2, Subarea II)

Measures of center and spread, data displays and interpretation, correlation, sampling and study design, theoretical and experimental probability, the counting principle, permutations and combinations, and discrete mathematics topics such as graph theory.

25% of Subtest 2

Mathematical Processes (Subtest 2, Subarea III)

Mathematical connections and communication, including interdisciplinary links and appropriate use of technology, reasoning and proof, problem solving and interpreting solutions, multiple representations, addressing student misconceptions, and developing content-area reading skills to support learning in mathematics.

How to Pass the MTLE Mathematics (Grades 5-12) Exam

What You Need to Know

  • Passing score: Subtest 1: 228; Subtest 2: 227 (scaled scores)
  • Exam length: 100 questions
  • Time limit: 1 hour 15 minutes of testing per subtest (1 hour 30 minutes total appointment per subtest)
  • Exam fee: $78.50 per subtest

Keys to Passing

  • Complete 500+ practice questions
  • Score 80%+ consistently before scheduling
  • Focus on highest-weighted sections
  • Use our AI tutor for tough concepts

MTLE Mathematics (Grades 5-12) Study Tips from Top Performers

1Allocate study time by weight: Functions, Algebra, and Calculus is the heaviest subarea at 57% of Subtest 1
2Practice multi-step computation in number sense, algebra, geometry, and probability because the multiple-choice items reward calculation fluency
3Review introductory calculus (limits, derivatives, integrals) since it appears within the Functions, Algebra, and Calculus subarea of Subtest 1
4Memorize core formulas (area, volume, the Pythagorean theorem, the quadratic formula) but rely on the provided formulas page for less common relationships
5For Mathematical Processes, study reasoning, proof, connections, communication, common student misconceptions, and content-area reading strategies
6Take timed mixed practice sets for each subtest to build pacing for the 1 hour 15 minute testing window

Frequently Asked Questions

What is on the MTLE Mathematics (Grades 5-12) test?

The test has two subtests. Subtest 1 (Test 207) covers Number Sense (43%) and Functions, Algebra, and Calculus (57%). Subtest 2 (Test 208) covers Measurement and Geometry (38%), Data, Probability, and Discrete Mathematics (37%), and Mathematical Processes (25%). All items are multiple-choice.

How many questions are on the MTLE Mathematics (5-12) test and what is the format?

Each subtest contains approximately 48 multiple-choice questions and is delivered by computer. You take Subtest 1 and Subtest 2 separately, and both must be passed to qualify for the Minnesota grades 5-12 mathematics license.

What is the passing score for MTLE Mathematics (5-12)?

The passing scaled score is 228 for Subtest 1 (Test 207) and 227 for Subtest 2 (Test 208). These standards reflect the passing scores PELSB established for candidates testing on or after February 5, 2024. You must pass both subtests.

How much does the MTLE Mathematics (5-12) test cost in 2026?

The registration fee is $78.50 per subtest, or about $157 for both subtests. Always confirm the exact amount in your Pearson registration portal before checkout, since additional service fees may apply.

How long is each MTLE Mathematics (5-12) subtest?

Each subtest is scheduled for a total appointment of 1 hour and 30 minutes, which includes about 15 minutes for the tutorial and nondisclosure agreement, leaving 1 hour and 15 minutes of actual testing time per subtest.

Is a calculator allowed on the MTLE Mathematics (5-12) test?

Yes. The computer-based testing platform provides an on-screen scientific calculator and a formulas reference page, so you do not bring your own calculator. Practice using the provided tools and formulas rather than memorizing every constant.