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100+ Free NES Mathematics (304) Practice Questions

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For 0 degrees <= theta <= 360 degrees, which values solve cos(theta) = 0?

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Key Facts: NES Mathematics (304) Exam

304

Official NES Mathematics test code

WEST tests list and NES Mathematics test page

~150

Official multiple-choice questions

Washington NES Mathematics (304) test page

5 hours

Testing time

Washington NES Mathematics (304) test page

5h 15m

Total appointment time

Washington NES Mathematics (304) test page

220

Passing score

Washington NES Mathematics (304) test page

$119

Official test fee

Washington NES Mathematics (304) test page

Calculator + formula page

Provided testing materials

Washington NES Mathematics (304) test page

19 / 24 / 19 / 19 / 19

Official domain percentage split

Washington NES Mathematics (304) profile

Use current official code 304 for Washington Mathematics. The official test has approximately 150 multiple-choice questions, up to 5 hours of testing time within a 5 hour 15 minute appointment, a passing score of 220, a provided scientific calculator and formula page, and a $119 fee. The official profile weights are 19% Mathematical Processes and Number Sense, 24% Patterns/Algebra/Functions, 19% Measurement/Geometry, 19% Trigonometry/Calculus, and 19% Statistics/Probability/Discrete Mathematics.

Sample NES Mathematics (304) Practice Questions

Try these sample questions to test your NES Mathematics (304) exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1A class has 250 students. If 18% of the students are absent on a field-trip day, how many students are absent?
A.45
B.18
C.36
D.50
Explanation: Convert 18% to 0.18 and multiply by 250: 0.18(250) = 45. So 45 students are absent.
2A recipe uses 3 cups of flour for every 2 cups of oats. If 8 cups of oats are used, how many cups of flour are needed?
A.12
B.8
C.10
D.16
Explanation: The oat amount is multiplied by 4, from 2 cups to 8 cups. Multiply the flour amount by the same factor: 3 x 4 = 12 cups.
3Which number is the greatest common factor of 84 and 126?
A.42
B.21
C.14
D.84
Explanation: Prime factorization gives 84 = 2^2 x 3 x 7 and 126 = 2 x 3^2 x 7. The common factors with the least exponents are 2 x 3 x 7 = 42.
4Which set is not closed under subtraction?
A.Whole numbers
B.Integers
C.Rational numbers
D.Real numbers
Explanation: Whole numbers are not closed under subtraction because 3 - 5 = -2, and -2 is not a whole number.
5Which expression represents the statement: five less than twice a number n?
A.2n - 5
B.5 - 2n
C.2(n - 5)
D.5n - 2
Explanation: Twice the number is 2n. Five less than that quantity is 2n - 5.
6A cyclist's distance changes from 20 miles to 50 miles over 6 hours. What is the average rate of change?
A.5 miles per hour
B.6 miles per hour
C.8 miles per hour
D.12 miles per hour
Explanation: Average rate of change is change in distance divided by change in time: (50 - 20) / 6 = 30 / 6 = 5 miles per hour.
7A store sells notebooks for $1.95 each. Which estimate is most reasonable for the cost of 48 notebooks before tax?
A.About $96
B.About $50
C.About $120
D.About $150
Explanation: Round $1.95 to about $2 and 48 to about 50. Then 2 x 48 is about 96, or 2 x 50 is about 100, so $96 is the most reasonable estimate.
8Which statement is the contrapositive of: If a quadrilateral is a square, then it has four congruent sides?
A.If a quadrilateral does not have four congruent sides, then it is not a square.
B.If a quadrilateral has four congruent sides, then it is a square.
C.If a quadrilateral is not a square, then it does not have four congruent sides.
D.If a quadrilateral has four congruent sides, then it is not a square.
Explanation: The contrapositive of if p then q is if not q then not p. Here p is being a square and q is having four congruent sides.
9For which truth values of p and q is the conditional statement p -> q false?
A.p is true and q is false
B.p is true and q is true
C.p is false and q is true
D.p is false and q is false
Explanation: A conditional p -> q is false only when the hypothesis p is true and the conclusion q is false.
10What is (3 + 2i)(1 - 4i) in standard form?
A.11 - 10i
B.-5 - 10i
C.11 + 10i
D.-5 + 14i
Explanation: Multiply: 3(1) + 3(-4i) + 2i(1) + 2i(-4i) = 3 - 12i + 2i - 8i^2. Since i^2 = -1, this is 3 - 10i + 8 = 11 - 10i.

About the NES Mathematics (304) Exam

Washington NES Mathematics (304) is the current official content knowledge assessment for candidates seeking the Mathematics endorsement on a Washington teaching certificate. The test is delivered as a computer-based multiple-choice exam and is listed by WEST under current NES code 304, replacing older WEST-E math code references for this endorsement area.

Assessment

Approximately 150 multiple-choice questions; computer-based test

Time Limit

5 hours testing time; 5 hours 15 minutes total appointment time

Passing Score

220

Exam Fee

$119 (Pearson Evaluation Systems / National Evaluation Series (NES) for Washington WEST)

NES Mathematics (304) Exam Content Outline

19%

Mathematical Processes and Number Sense

Problem solving, reasoning, proof, mathematical communication, representation, connections, real and complex number systems, number theory, operations, estimation, ratios, proportions, percents, and algebraic properties.

24%

Patterns, Algebra, and Functions

Sequences, patterns, algebraic expressions, equations, inequalities, systems, linear, quadratic, polynomial, rational, radical, exponential, logarithmic, absolute value, and piecewise functions; graphing, transformations, inverses, and modeling.

19%

Measurement and Geometry

Measurement concepts and precision, area, perimeter, surface area, volume, Euclidean and non-Euclidean geometry, axiomatic reasoning, proof, similarity, congruence, transformations, coordinate geometry, circles, conic sections, and three-dimensional figures.

19%

Trigonometry and Calculus

Trigonometric functions and identities, unit-circle values, trig equations, graphing and periodic models, limits, continuity, derivatives, tangent lines, related rates, optimization, definite and indefinite integrals, and accumulation.

19%

Statistics, Probability, and Discrete Mathematics

Data analysis, measures of center and spread, sampling methods and bias, probability models, conditional probability, normal and binomial distributions, expected value, counting methods, set theory, matrices, sequences, recursion, and discrete mathematics.

How to Pass the NES Mathematics (304) Exam

What You Need to Know

  • Passing score: 220
  • Assessment: Approximately 150 multiple-choice questions; computer-based test
  • Time limit: 5 hours testing time; 5 hours 15 minutes total appointment time
  • 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

NES Mathematics (304) Study Tips from Top Performers

1Treat algebra and functions as the largest domain: work mixed problems on function notation, transformations, inverses, systems, rational expressions, logarithms, and quadratic modeling.
2Practice mathematical reasoning explicitly: identify assumptions, justify steps, use counterexamples, and translate among verbal, symbolic, tabular, and graphical representations.
3For geometry, pair formulas with reasoning: know why scale factors square for area, how coordinate proof supports classification, and which congruence or parallel-line theorem applies.
4For trigonometry and calculus, keep a fast reference sheet of unit-circle values, identities, derivative rules, integral rules, and common interpretations of rates and accumulation.
5For probability and statistics, distinguish similar concepts: conditional probability vs joint probability, mean vs median, standard deviation vs IQR, and sample bias vs random variation.
6Use calculator-aware practice: let the provided scientific calculator handle arithmetic, but reserve study time for setup, domain restrictions, sign analysis, and reasonableness checks.

Frequently Asked Questions

What is the current official test code for Washington Mathematics?

The current WEST tests list places Mathematics under NES test code 304. This metadata intentionally uses code 304 rather than stale older WEST-E math code references.

How many questions are on NES Mathematics (304)?

The official WEST/NES test page lists approximately 150 multiple-choice questions. This practice bank contains exactly 100 original multiple-choice practice questions.

How much time do candidates have for the test?

The official test page lists 5 hours of testing time within a 5 hour 15 minute total appointment.

What score is needed to pass?

The official Washington NES Mathematics (304) test page lists a passing score of 220.

What domains are tested?

The official profile lists five domains: Mathematical Processes and Number Sense at 19%, Patterns, Algebra, and Functions at 24%, Measurement and Geometry at 19%, Trigonometry and Calculus at 19%, and Statistics, Probability, and Discrete Mathematics at 19%.

Are reference materials provided?

Yes. The official test page lists a scientific calculator and a mathematics formula page as provided materials for Mathematics (304).