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100+ Free WEST-E Middle Level Mathematics (NES 203) Practice Questions

Pass your WEST-E / NES Middle Grades Mathematics (203) Test exam on the first try — instant access, no signup required.

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2026 Statistics

Key Facts: WEST-E Middle Level Mathematics (NES 203) Exam

220

Passing Scaled Score

NES Middle Grades Mathematics (203) test page

$119

Test Fee (2026)

NES Middle Grades Mathematics (203) test page

150

Selected-Response Questions

NES Middle Grades Mathematics (203) test page

5 hours

Testing Time

NES Middle Grades Mathematics (203) test page

4 domains

Content Domains

NES Middle Grades Mathematics (203) framework

33%

Algebra and Functions Weight

NES Middle Grades Mathematics (203) framework

Grades 4-9

Endorsement Range

Washington PESB endorsement requirements

The WEST-E Middle Level Mathematics test is delivered as the NES Middle Grades Mathematics (203) test and is Washington's content-knowledge exam for the middle-level math endorsement (grades 4-9). It is a computer-based test with 150 selected-response (multiple-choice) questions and a passing scaled score of 220. The four content domains are weighted as Number Sense and Operations 17%, Algebra and Functions 33%, Measurement and Geometry 25%, and Statistics, Probability, and Discrete Mathematics 25%. The current public fee is $119 and the appointment runs 5 hours 15 minutes, with an on-screen scientific calculator and formulas page provided. This free 100-question bank mirrors the official domain weighting so candidates can practice across every content area.

Sample WEST-E Middle Level Mathematics (NES 203) Practice Questions

Try these sample questions to test your WEST-E Middle Level Mathematics (NES 203) 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 correctly converts the fraction 3/8 to a decimal and a percent?
A.0.375 and 37.5%
B.0.38 and 3.8%
C.0.83 and 83%
D.0.0375 and 3.75%
Explanation: Dividing 3 by 8 gives 0.375. To express this as a percent, multiply by 100, yielding 37.5%. Fraction-to-decimal-to-percent conversions are a core number sense skill on the WEST-E.
2Evaluate the expression 8 + 4 × (6 - 2) ÷ 2 using the order of operations.
A.16
B.24
C.12
D.20
Explanation: Work inside the parentheses first: 6 - 2 = 4. Then multiply and divide left to right: 4 × 4 = 16, then 16 ÷ 2 = 8. Finally add: 8 + 8 = 16. Order of operations (PEMDAS) is foundational number-sense content.
3A submarine descends from sea level to -180 feet, then rises 75 feet. What is its final depth relative to sea level?
A.-105 feet
B.-255 feet
C.105 feet
D.-255 feet below the rise
Explanation: Start at -180 feet and rise 75 feet, which is addition: -180 + 75 = -105 feet. The negative sign indicates the submarine is still below sea level. Integer operations in real-world contexts are common WEST-E items.
4Which list orders the numbers from least to greatest: -2/3, 0.7, -1, 5/8?
A.-1, -2/3, 5/8, 0.7
B.-2/3, -1, 5/8, 0.7
C.-1, -2/3, 0.7, 5/8
D.0.7, 5/8, -2/3, -1
Explanation: Convert to decimals: -1, -0.667, 0.625, 0.7. Ordering least to greatest gives -1, -2/3, 5/8, 0.7. Comparing and ordering rational numbers requires converting to a common form.
5A recipe uses 3 cups of flour for every 2 cups of sugar. If a baker uses 12 cups of flour, how many cups of sugar are needed to keep the same ratio?
A.8 cups
B.6 cups
C.18 cups
D.10 cups
Explanation: Set up the proportion 3/2 = 12/x. Cross-multiplying gives 3x = 24, so x = 8 cups. Proportional reasoning with ratios is heavily emphasized in middle-grades mathematics.
6A car travels 150 miles in 2.5 hours. What is its average speed as a unit rate?
A.60 miles per hour
B.75 miles per hour
C.375 miles per hour
D.50 miles per hour
Explanation: A unit rate divides the quantity by the time: 150 miles ÷ 2.5 hours = 60 miles per hour. Computing unit rates is a key proportional-reasoning skill.
7Which property is illustrated by the equation 7 × (4 + 9) = 7 × 4 + 7 × 9?
A.Distributive property
B.Associative property
C.Commutative property
D.Identity property
Explanation: The distributive property of multiplication over addition states a(b + c) = ab + ac. Here 7 is distributed across the sum 4 + 9. Recognizing algebraic properties supports flexible computation.
8Estimate the product 48 × 21 by rounding each factor to the nearest ten. Which estimate is most reasonable?
A.1,000
B.800
C.1,200
D.900
Explanation: Rounding 48 to 50 and 21 to 20 gives 50 × 20 = 1,000. The exact product is 1,008, so 1,000 is a reasonable estimate. Estimation and checking for reasonableness are explicitly tested.
9Which of the following numbers is irrational?
A.√7
B.√16
C.0.25
D.3/11
Explanation: An irrational number cannot be written as a ratio of two integers and has a non-terminating, non-repeating decimal. √7 ≈ 2.6457... is irrational because 7 is not a perfect square. Understanding the structure of the real number system is foundational.
10What is the greatest common factor (GCF) of 36 and 48?
A.12
B.6
C.16
D.24
Explanation: The prime factorization of 36 is 2² × 3² and of 48 is 2⁴ × 3. The GCF takes the lowest power of each shared prime: 2² × 3 = 12. GCF and LCM are core number-theory topics.

About the WEST-E Middle Level Mathematics (NES 203) Exam

The WEST-E Middle Level Mathematics test, delivered as the NES Middle Grades Mathematics (203) test, is the content-knowledge assessment for Washington's middle-level mathematics teaching endorsement (grades 4-9). The computer-based test includes 150 selected-response questions organized into four content domains spanning number sense and operations, algebra and functions, measurement and geometry, and statistics, probability, and discrete mathematics.

Questions

150 scored questions

Time Limit

5 hours of testing (5 hours 15 minutes total appointment)

Passing Score

220 scaled score

Exam Fee

$119 (Washington PESB / Evaluation Systems group of Pearson (NES))

WEST-E Middle Level Mathematics (NES 203) Exam Content Outline

17% of this test

Number Sense and Operations (Domain I)

Understanding the structure of the real number system including rational and irrational numbers; operations with integers, fractions, decimals, and percents; order of operations and number properties; ratios, rates, and proportional reasoning; exponents and scientific notation; greatest common factor, least common multiple, and prime factorization; and estimation and reasonableness checking.

33% of this test

Algebra and Functions (Domain II)

Representing relationships in tables, graphs, equations, and verbal form; solving linear equations, inequalities, and systems; slope, intercepts, and rate of change; function notation, evaluation, and identifying functions; simplifying and factoring expressions; arithmetic, geometric, and recursive sequences; and comparing linear with quadratic and exponential relationships.

25% of this test

Measurement and Geometry (Domain III)

Unit conversion within and between measurement systems; perimeter, area, surface area, and volume of two- and three-dimensional figures; the Pythagorean theorem; angle relationships and parallel lines cut by a transversal; similarity and scale factor; coordinate geometry including distance and midpoint; and transformations and symmetry.

25% of this test

Statistics, Probability, and Discrete Mathematics (Domain IV)

Measures of center and spread; interpreting data displays such as box plots and scatter plots; sampling, bias, and correlation; probability of simple, complementary, independent, dependent, and mutually exclusive events; expected value; the fundamental counting principle and permutations; sequences and recursion; and graph theory.

How to Pass the WEST-E Middle Level Mathematics (NES 203) Exam

What You Need to Know

  • Passing score: 220 scaled score
  • Exam length: 150 questions
  • Time limit: 5 hours of testing (5 hours 15 minutes total appointment)
  • Exam fee: $119

Keys to Passing

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

WEST-E Middle Level Mathematics (NES 203) Study Tips from Top Performers

1Allocate study time by domain weight: Algebra and Functions is the heaviest at 33%, followed by Measurement/Geometry and Statistics/Probability at 25% each
2Practice multi-step problems in linear equations, systems, slope, and functions because the algebra domain dominates the test
3Drill area, surface area, and volume formulas along with the Pythagorean theorem, similarity, and coordinate geometry for the measurement domain
4Review probability rules (independent, dependent, complementary, mutually exclusive), expected value, and counting principles for the statistics and discrete math domain
5Use the provided on-screen scientific calculator and formulas page in practice so you are comfortable with the testing tools
6Practice estimation and reasonableness checks to catch arithmetic errors quickly under the 5-hour time limit

Frequently Asked Questions

What is on the WEST-E Middle Level Mathematics (NES 203) test?

The test covers four content domains: Number Sense and Operations (17%), Algebra and Functions (33%), Measurement and Geometry (25%), and Statistics, Probability, and Discrete Mathematics (25%). All domains are assessed with selected-response (multiple-choice) questions, with Algebra and Functions carrying the heaviest weight at one-third of the test.

How many questions are on the NES Middle Grades Mathematics (203) test and what is the format?

The computer-based test has 150 selected-response (multiple-choice) questions. Some questions are pretest items being evaluated for future use and do not affect your score. There are no constructed-response or open-response assignments on this test.

What is the passing score for the WEST-E Middle Level Mathematics test?

You need a scaled score of 220 to pass the NES Middle Grades Mathematics (203) test, the standard passing score used across NES content tests. Scores are reported on a common scale rather than as a percentage correct.

How much does the WEST-E / NES 203 math test cost in 2026?

The current public registration fee for the NES Middle Grades Mathematics (203) test is $119. Always confirm the exact amount in your Pearson registration account before checkout, since additional service fees may apply.

How long is the WEST-E Middle Level Mathematics test appointment?

The total appointment is 5 hours and 15 minutes, which includes about 15 minutes for the tutorial and nondisclosure agreement, leaving 5 hours for the actual test. Budget your time across all 150 selected-response questions.

Is a calculator allowed on the WEST-E Middle Level Mathematics test?

The NES Middle Grades Mathematics (203) test provides an on-screen scientific calculator and a formulas reference page within the computer-based testing platform, so you do not bring your own calculator. Practice using the provided tools rather than memorizing every formula.