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100+ Free MTTC Mathematics (Elementary) (089) Practice Questions

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What is the prime factorization of 180?

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2026 Statistics

Key Facts: MTTC Mathematics (Elementary) (089) Exam

220

Passing Scaled Score

MTTC field 089 test page

$129

Test Fee (2026)

MTTC field 089 test page

80 MC

Test Format

MTTC field 089 test page

2.5 hours

Testing Time

MTTC field 089 test page

4 subareas

Content Domains

MTTC field 089 test objectives

28%

Heaviest Subarea Weight

MTTC field 089 test objectives

100%

Multiple-Choice Score Weight

MTTC field 089 test objectives

MTTC Mathematics (Elementary) (089) is Michigan's elementary mathematics content test, delivered by Pearson as a computer-based exam with 80 multiple-choice questions and a fixed passing scaled score of 220. The test is weighted across four subareas: Mathematical Processes and Number Concepts (28%), Patterns, Algebraic Relationships, and Functions (28%), Measurement and Geometry (22%), and Data Analysis, Statistics, Probability, and Discrete Mathematics (22%). The current public fee is $129 and candidates have 2 hours 30 minutes of testing time within a 2-hour-45-minute appointment. An approved graphing calculator is required. This free 100-question bank mirrors the official objective weighting so candidates can practice across every subarea.

Sample MTTC Mathematics (Elementary) (089) Practice Questions

Try these sample questions to test your MTTC Mathematics (Elementary) (089) exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1A teacher asks students to show that 0.75 and 3/4 are equal. Which representation best demonstrates that these two values are equivalent?
A.Shading 3 of 4 equal parts of a region and shading 75 of 100 equal parts of an identical region
B.Writing 0.75 as the fraction 75/10
C.Counting by tenths until reaching 0.75
D.Rounding 0.75 up to the nearest whole number
Explanation: Equivalence between 3/4 and 0.75 is best shown with area models: 3 of 4 equal parts and 75 of 100 equal parts cover the same fraction of identical wholes. Since 3/4 = 75/100 = 0.75, the shaded regions match, making the equivalence visible and conceptual rather than procedural.
2A recipe that serves 4 people requires 3 cups of flour. Using proportional reasoning, how many cups of flour are needed to serve 10 people?
A.7.5 cups
B.6 cups
C.9 cups
D.12 cups
Explanation: Set up the proportion 3/4 = x/10. Cross-multiplying gives 4x = 30, so x = 7.5 cups. Proportional reasoning preserves the ratio of flour to servings, scaling 3 cups for 4 people up by a factor of 10/4 = 2.5.
3Which of the following numbers is irrational?
A.the square root of 7
B.0.333... (repeating)
C.the square root of 16
D.22/7
Explanation: An irrational number cannot be written as a ratio of two integers and has a non-terminating, non-repeating decimal expansion. The square root of 7 is approximately 2.6457..., which never terminates or repeats, so it is irrational.
4What is the greatest common factor (GCF) of 48 and 60?
A.12
B.6
C.24
D.240
Explanation: Prime factorization 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 = 4 x 3 = 12. So 12 is the largest number that divides both 48 and 60 evenly.
5A store offers a 20% discount on a jacket originally priced at $80, then adds 6% sales tax to the discounted price. What is the final amount the customer pays?
A.$67.84
B.$64.00
C.$70.40
D.$84.80
Explanation: First apply the 20% discount: $80 x 0.80 = $64. Then add 6% tax: $64 x 1.06 = $67.84. The order matters because tax is calculated on the discounted price, not the original price.
6Which property of operations is illustrated by the equation 7 x (4 + 9) = (7 x 4) + (7 x 9)?
A.Distributive property of multiplication over addition
B.Associative property of multiplication
C.Commutative property of addition
D.Identity property of multiplication
Explanation: The distributive property states that multiplying a number by a sum equals the sum of the individual products: a x (b + c) = (a x b) + (a x c). Here 7 is distributed across both 4 and 9, which is foundational for teaching multi-digit multiplication.
7A student computes 3/4 + 2/3 and gets 5/7. Which best describes the student's error and the correct procedure?
A.The student added numerators and denominators directly; instead, rewrite with a common denominator of 12 to get 9/12 + 8/12 = 17/12
B.The student should have multiplied the fractions, giving 6/12
C.The student forgot to simplify; 5/7 is correct but must be reduced
D.The student should add only the numerators, giving 5/4
Explanation: Fractions can only be added once they share a common denominator. The least common denominator of 4 and 3 is 12, so 3/4 = 9/12 and 2/3 = 8/12, giving 9/12 + 8/12 = 17/12. Adding numerators and denominators separately is a classic misconception.
8What is the value of the expression 24 / (6 - 2) + 3 x 2 using the order of operations?
A.12
B.9
C.10
D.15
Explanation: Following the order of operations, evaluate parentheses first: 6 - 2 = 4. Then 24 / 4 = 6 and 3 x 2 = 6. Finally, add: 6 + 6 = 12. Division/multiplication are done left to right before addition.
9In the number 4,738.156, what is the value of the digit 5?
A.5 hundredths
B.5 tenths
C.5 thousandths
D.5 tens
Explanation: Place value to the right of the decimal point runs tenths, hundredths, thousandths. The 5 is in the second decimal place, the hundredths place, so its value is 5 hundredths, or 0.05.
10A car travels 150 miles in 3 hours. At the same rate, how far will it travel in 5 hours?
A.250 miles
B.200 miles
C.300 miles
D.450 miles
Explanation: The unit rate is 150 miles / 3 hours = 50 miles per hour. Over 5 hours at 50 mph, the distance is 50 x 5 = 250 miles. Finding the unit rate first makes proportional problems straightforward.

About the MTTC Mathematics (Elementary) (089) Exam

The MTTC Mathematics (Elementary) (089) test is a subject-area assessment within the Michigan Test for Teacher Certification program, administered by Pearson Evaluation Systems. The computer-based test includes 80 multiple-choice questions organized into four subareas: Mathematical Processes and Number Concepts, Patterns, Algebraic Relationships, and Functions, Measurement and Geometry, and Data Analysis, Statistics, Probability, and Discrete Mathematics.

Questions

80 scored questions

Time Limit

2 hours 30 minutes of testing (2 hours 45 minutes total appointment)

Passing Score

220 scaled score

Exam Fee

$129 (Michigan Department of Education / Pearson)

MTTC Mathematics (Elementary) (089) Exam Content Outline

28% of this test

Mathematical Processes and Number Concepts (Subarea I)

Mathematical reasoning, problem-solving strategies, and estimation; proportional reasoning with ratios, rates, and percents; number systems and place value including rational and irrational numbers; operations with integers, fractions, and decimals; and number theory topics such as factors, multiples, GCF, LCM, prime factorization, and divisibility rules.

28% of this test

Patterns, Algebraic Relationships, and Functions (Subarea II)

Recognizing and generalizing patterns and sequences; translating between words, tables, graphs, and symbolic expressions; solving and graphing linear equations, inequalities, and systems; quadratic functions and factoring; and nonlinear and exponential relationships including growth and decay.

22% of this test

Measurement and Geometry (Subarea III)

Measurement attributes, units, and conversions; perimeter, area, surface area, and volume; properties and classification of two- and three-dimensional figures; the Pythagorean theorem; angle relationships and polygon angle sums; congruence, similarity, scale, and geometric transformations; and coordinate geometry.

22% of this test

Data Analysis, Statistics, Probability, and Discrete Mathematics (Subarea IV)

Organizing and interpreting data displays; measures of central tendency and spread; data collection and sampling methods; theoretical and experimental probability of simple, complementary, independent, and dependent events; expected value; and discrete mathematics including the counting principle, permutations, combinations, and algorithms.

How to Pass the MTTC Mathematics (Elementary) (089) Exam

What You Need to Know

  • Passing score: 220 scaled score
  • Exam length: 80 questions
  • Time limit: 2 hours 30 minutes of testing (2 hours 45 minutes total appointment)
  • Exam fee: $129

Keys to Passing

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

MTTC Mathematics (Elementary) (089) Study Tips from Top Performers

1Allocate study time by subarea weight: Number Concepts and Algebra are heaviest at 28% each, while Measurement/Geometry and Data/Probability are 22% each
2Practice multi-step problems in proportional reasoning, solving equations, area and volume, and probability because the test rewards calculation fluency
3Master core formulas (area, perimeter, volume, the Pythagorean theorem) but rely on the provided on-screen reference sheet for less common ones
4Get comfortable with your approved graphing calculator before test day, since you must bring one and use it efficiently under time pressure
5Use estimation and number sense to check whether computed answers are reasonable
6Review common elementary-student misconceptions in fractions, place value, and operations, since reasoning items often probe conceptual understanding

Frequently Asked Questions

What is on the MTTC Mathematics (Elementary) (089) test?

The test covers four subareas: Mathematical Processes and Number Concepts (28%), Patterns, Algebraic Relationships, and Functions (28%), Measurement and Geometry (22%), and Data Analysis, Statistics, Probability, and Discrete Mathematics (22%). All content is assessed through multiple-choice questions.

How many questions are on the MTTC 089 test and what is the format?

The computer-based MTTC Mathematics (Elementary) (089) test has 80 multiple-choice questions. There are no constructed-response or open-response items on this field; the entire score is based on the selected-response questions.

What is the passing score for MTTC Mathematics (Elementary) (089)?

You need a scaled score of 220 to pass the MTTC Mathematics (Elementary) (089) test. The MTTC uses 220 as the fixed passing scaled score across all of its tests.

How much does the MTTC 089 test cost in 2026?

The current test fee for MTTC Mathematics (Elementary) (089) is $129. Always confirm the exact amount in your Pearson registration account before checkout, since additional service fees may apply.

How long is the MTTC 089 test and is a calculator allowed?

You have 2 hours and 30 minutes of testing time within a total appointment of 2 hours and 45 minutes, which includes a 15-minute tutorial. You must bring an approved graphing calculator, and on-screen formulas are provided during the test.

When will I get my MTTC 089 score?

MTTC results are typically reported within about six weeks of your test date. Your unofficial pass or no-pass status and scaled score are reported through your Pearson account on the published score-report date.