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PRAXISCode: 7003๐Ÿ–ฉ Scientific Calculator ProvidedPart of 7001 Multiple Subjectsโš  Retiring August 2028

Praxisยฎ Elementary Education:
Mathematics (7003)
Practice Test & Study Guide

Comprehensive preparation for prospective elementary teachers โ€” 40 questions spanning three mathematics content categories: Number and Operations, Algebraic Thinking, and Geometry, Measurement, Data, Statistics, and Probability. Scientific calculator provided. Part of the Elementary Education: Multiple Subjects (7001) series. Being replaced by the new 8003 (68 questions) โ€” retires August 2028.

40
Questions
55 min
Time limit
Varies
Passing score*
3
Content categories
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๐Ÿ–ฉ

A scientific calculator is provided for this subtest โ€” the only subtest in the Elementary Education: Multiple Subjects (7001) series that provides one. The on-screen scientific calculator is available throughout the 55-minute exam. Content spans three categories: Number and Operations (56%), Algebraic Thinking (19%), and Geometry, Measurement, Data, Statistics, and Probability (25%). Despite the calculator, questions require genuine mathematical understanding โ€” including number sense, fraction operations, algebraic reasoning, geometric relationships, and interpreting data displays. Being replaced by the 8003 subtest โ€” retires August 2028.

๐Ÿ“‹

Source: All exam details are drawn from the official ETS Praxis Elementary Education (7001) Study Companion. The 7003 is one of four separately timed subtests of the 7001. Passing scores vary by state โ€” always confirm at ets.org/praxis/states.

Elementary Education: Mathematics (7003) โ€” Test at a Glance

Key facts directly from official ETS specifications for the 7003 Mathematics subtest.

Test code
7003
Subtest of 7001
Total questions
40
SR + numeric-entry
Part of series
7001
Multiple Subjects (7002โ€“7005)
Category I
Number & Operations
~36% ยท ~14โ€“15 questions
Category II
Algebraic Thinking
~30% ยท ~12 questions
Category III
Geometry / Data / Statistics
~34% ยท ~13โ€“14 questions
Calculator
Scientific (on-screen)
Provided throughout
Retires
Aug 2028
Replaced by 8003

About the Praxis Elementary Education: Mathematics (7003)

What you need to know before you register.

The Elementary Education: Mathematics (7003) is a subtest of the Elementary Education: Multiple Subjects (7001) assessment. It is designed for prospective teachers of children in primary through upper elementary school grades. The 40 questions focus on the broad knowledge of mathematics and related mathematics-teaching concepts necessary for a beginning teacher.

Questions span three content categories: Number and Operations, Algebraic Thinking, and Geometry, Measurement, Data, Statistics, and Probability. The test consists of a variety of selected-response and numeric-entry questions. An on-screen scientific calculator is provided throughout. Some questions may not count toward your score.

The 7003 is part of the older 7001 series, which is being replaced by the new Elementary Education Fundamentals series (8002โ€“8006), launched March 9, 2026. The replacement test is 8003 (Elementary Education Fundamentals: Mathematics) with 68 questions. The old 7001 series retires in August 2028. Both are currently live. Always verify your state's requirement at ets.org/praxis/states before registering.

7003 vs. 8003 โ€” What's Changing

The new Elementary Education Fundamentals: Mathematics (8003) is the direct replacement for the 7003. Here's how they compare.

7003 โ€” Elementary Education: Mathematics
Statusโš  Active โ€” retiring August 2028
Questions40 selected-response + numeric entry
Categories3 categories
CalculatorScientific (on-screen)
Teaching scenariosNot explicitly required
Praxis StepsNot available
Series7001 Multiple Subjects
8003 โ€” Elementary Education Fundamentals: Mathematics
Statusโœ… New โ€” live March 9, 2026
Questions68 selected-response + numeric entry
Categories4 categories (deeper)
CalculatorScientific (on-screen)
Teaching scenarios10โ€“15% of questions
Praxis StepsSummer 2026
SeriesFundamentals (8002โ€“8006)
Check your state first: Many states have already transitioned to requiring the new 8003. Registering for the wrong test means paying again and potentially delaying your certification. Always verify at ets.org/praxis/states before registering.

Three Content Categories at a Glance

The 40 questions are distributed across three mathematics content categories โ€” all tested at the level appropriate for a prospective elementary teacher with a generalist license.

Category I

Number and Operations

Counting, cardinality, whole number operations, rational numbers, place value, fractions, decimals, percents, proportional reasoning, number theory, estimation
Category II

Algebraic Thinking

Algebraic expressions and equations, linear relationships, interpreting functions, patterns, order of operations, variables, dependent/independent quantities
Category III

Geometry, Measurement, Data, Statistics & Probability

2D/3D figures, perimeter/area/volume, coordinate plane, unit conversion, data displays, measures of center, probability and likelihood

Official Exam Blueprint: 3 Content Categories

All content categories confirmed from the official ETS 7003 test specifications. Questions are selected-response and numeric-entry.

Category I
Number and Operations
Counting and cardinality: counting and skip counting; connecting counting to cardinality; one-to-one correspondence; subitizing; relationships between larger and smaller numbers. Operations and properties of rational numbers: all four operations with rational numbers; multistep real-world problems; multiple strategies, models, and algorithms; problem situations for operations; properties of operations (commutative, associative, distributive); inverse operations; fractions as part-whole, number, ratio, and division; comparing and ordering rational numbers; representing fractions and decimals on number lines, area models, and rectangular arrays; converting between fractions, decimals, and percents. Proportional relationships and percents: ratios and unit rates; percent as rate per 100; proportional reasoning to solve problems. Number theory: prime and composite numbers; factors and multiples; greatest common factor; least common multiple. Estimation and reasonableness: mental math strategies; rounding; estimating sums, differences, products, and quotients; evaluating the reasonableness of results.
~36%
~14โ€“15 questions
Category II
Algebraic Thinking
Algebraic expressions, equations, and formulas: differentiating expressions from equations; evaluating algebraic expressions and formulas; using properties of operations (including distributive property) to generate equivalent expressions; translating between verbal statements and algebraic expressions and equations; solving multistep one-variable linear equations and inequalities; graphing solutions on number lines; dependent and independent variables; using formulas to find unknown quantities. Linear relationships: using linear relationships (tables, graphs, equations) to solve real-world and mathematical problems; identifying and interpreting rate of change (slope) from tables and graphs; comparing linear and nonlinear relationships. Patterns: identifying, extending, and describing number patterns and shape patterns; generating patterns that follow a given rule; relationships between corresponding terms of two numerical patterns; recognizing patterns and generalizing rules.
~30%
~12 questions
Category III
Geometry, Measurement, Data, Statistics, and Probability
Geometry โ€” classifying figures: classifying lines, rays, and segments (parallel, perpendicular, intersecting); classifying angles by measure; composing and decomposing 2D and 3D shapes; classifying polygons and solids by attributes (triangles, quadrilaterals, regular polygons, prisms, pyramids, spheres); representing 3D figures with nets. Geometry โ€” measurement: solving real-world and mathematical problems involving perimeter and area (including irregular/composite shapes); surface area and volume of right rectangular prisms (including fractional edge lengths); coordinate plane (axes, origin, four quadrants, graphing points and polygons, computing distances). Measurement: recognizing measurable attributes; selecting appropriate measurement tools and standard units; unit conversions within U.S. customary and metric systems; elapsed time, money, length, volume, and mass. Data and statistics: statistical questions; collecting, organizing, and displaying data (dot plots, bar graphs, histograms, line graphs, box plots, circle graphs, scatterplots); interpreting data displays; measures of center (mean, median, mode) and spread (range); identifying appropriate measures for different data distributions; the effect of outliers on mean vs. median. Probability: the likelihood of an event (0 to 1 scale); theoretical and experimental probability; sample spaces; simple probability calculations; independent vs. dependent events at the introductory level.
~34%
~13โ€“14 questions

Key Topics by Content Category

Specific competencies from the official ETS 7003 test specifications โ€” at the breadth appropriate for a prospective generalist elementary teacher.

Number & Operations

Number and Operations โ€” Core Topics (Category I)

~36% ยท ~14โ€“15 questions
Place value and whole numbers: composing and decomposing multi-digit numbers using place value understanding; ten-times relationships between adjacent places; writing numbers in standard, word, and expanded form; comparing and ordering multi-digit whole numbers; rounding multi-digit numbers to any place; the base-10 number system and how it extends to decimals
Operations with whole numbers: all four operations โ€” addition, subtraction, multiplication, division โ€” using a variety of strategies and algorithms; understanding the relationship between operations (e.g., division as the inverse of multiplication); properties of operations in problem solving; interpreting remainders in division contexts; multi-step word problems requiring selection of appropriate operations
Fractions โ€” multiple representations: unit fractions as building blocks; fractions as part of a whole, as a point on a number line, as a ratio, and as division of a numerator by a denominator; equivalent fractions; comparing fractions using benchmark fractions, common denominators, and the number line; fraction equivalence using area models, number lines, and set models
Operations with fractions: adding and subtracting fractions and mixed numbers with like and unlike denominators (with models and algorithms); multiplying fractions (including understanding why multiplying by a fraction less than 1 gives a smaller product); dividing fractions by fractions and whole numbers (including understanding via measurement and partitive models); fraction ร— whole number as repeated addition
Decimals and percents: understanding decimals as an extension of the base-10 place value system; comparing, ordering, and rounding decimals; adding, subtracting, multiplying, and dividing decimals; converting between fractions, decimals, and percents; percent as "per 100"; applying percent to real-world problems (discounts, sales tax, tips, percent increase/decrease)
Ratios and proportional reasoning: understanding ratio as a relationship between two quantities; unit rate and rate; tables of equivalent ratios; tape diagrams and double number lines as ratio representations; solving proportions; proportional reasoning in scaling, recipes, maps, and unit conversion; identifying proportional vs. non-proportional relationships
Number theory: factors and multiples; prime factorization; identifying prime and composite numbers; greatest common factor (GCF) and least common multiple (LCM) โ€” knowing multiple strategies for each (listing, Venn diagrams, prime factorization); applying GCF to simplify fractions and LCM to add fractions with unlike denominators
Estimation and reasonableness: estimating using rounding, front-end estimation, and compatible numbers; mental math strategies (compensation, decomposition, doubling); evaluating whether a calculated answer is reasonable given the problem context; identifying common computational errors by checking reasonableness of results
Algebraic Thinking

Algebraic Thinking โ€” Core Topics (Category II)

~30% ยท ~12 questions
Expressions and equations: understanding the difference between an expression and an equation; evaluating algebraic expressions by substituting values for variables; using properties of operations (commutative, associative, distributive) to generate equivalent expressions; adding and subtracting linear expressions; writing algebraic expressions and equations to represent real-world and mathematical situations; the equal sign as relational equivalence (not just "get the answer") โ€” one of the most important algebraic concepts for elementary teachers
Solving equations and inequalities: solving multistep one-variable linear equations; solving one-variable linear inequalities and graphing solutions on number lines (open and closed circles; direction of arrow); applying equations and inequalities to model and solve real-world problems; checking solutions by substitution; understanding why certain manipulations preserve equality (adding/subtracting/multiplying/dividing both sides by the same amount)
Variables and formulas: the two interpretations of variable โ€” as an unknown quantity (solving for x) and as a quantity that varies (understanding functions); using formulas to solve for unknown values (d = rt, A = lw, V = lwh, C = ฯ€d, etc.); identifying which variable is independent and which is dependent; translating between verbal problem descriptions and algebraic formulas
Linear relationships: recognizing linear relationships from tables (constant rate of change between consecutive inputs), graphs (straight lines), and equations (y = mx + b form); interpreting slope as rate of change in context; y-intercept as initial value; comparing linear and nonlinear relationships from tables and graphs; writing equations for linear relationships given a table, graph, or description
Patterns โ€” number and shape: identifying and extending number patterns (arithmetic, geometric); generating patterns that follow a given rule; writing a rule or expression that describes a pattern; identifying relationships between corresponding terms of two numerical patterns (e.g., for every multiple of 3 in the first pattern, the second pattern has the corresponding multiple of 6); recognizing, describing, and extending shape patterns
Order of operations: evaluating expressions using the correct order of operations (parentheses, exponents, multiplication/division left to right, addition/subtraction left to right โ€” PEMDAS); applying order of operations in algebraic expressions; knowing why parentheses change the result; applying the distributive property to rewrite and evaluate expressions; evaluating expressions with whole numbers, fractions, and decimals
Geometry & Data

Geometry, Measurement, Data, Statistics, and Probability โ€” Core Topics (Category III)

~34% ยท ~13โ€“14 questions
Classifying geometric figures: classifying angles (acute, right, obtuse, straight, reflex) by measure; relationships between lines (parallel, perpendicular, intersecting, transversals); classifying triangles by sides (equilateral, isosceles, scalene) and by angles (acute, right, obtuse); classifying quadrilaterals and understanding the hierarchy (square โ†’ rectangle โ†’ parallelogram โ†’ quadrilateral); identifying and naming polygons by number of sides; distinguishing 2D from 3D figures; attributes of prisms, pyramids, cones, cylinders, and spheres
Perimeter, area, and surface area: perimeter of polygons (including irregular/composite shapes); area formulas: rectangle (A = lw), parallelogram (A = bh), triangle (A = ยฝbh), trapezoid (A = ยฝ(bโ‚+bโ‚‚)h), circle (A = ฯ€rยฒ); composite area (combining and subtracting simpler shapes); surface area of rectangular prisms using nets; understanding the difference between area (square units) and perimeter (linear units); effects of changing dimensions on area
Volume: volume of rectangular prisms (V = lwh and V = Bh); filling unit cubes to understand volume conceptually; fractional edge lengths in volume calculations (V = l ร— w ร— h where one or more dimensions are fractions); volume of irregular 3D figures by decomposition; comparing volumes; understanding that volume measures 3-dimensional space in cubic units
Coordinate plane and transformations: axes, origin, four quadrants; plotting and identifying ordered pairs (x, y) in all four quadrants; finding distances between points with the same x- or y-coordinate; graphing polygons on the coordinate plane; computing perimeter and area of polygons in the coordinate plane; reflections across axes; translations; understanding how coordinates change under transformations
Measurement and unit conversion: selecting appropriate tools (ruler, protractor, balance, thermometer, graduated cylinder) and units for measuring length, weight, capacity, time, and angle; converting within U.S. customary system (inchesโ†”feetโ†”yardsโ†”miles; ouncesโ†”pounds; cupsโ†”pintsโ†”quartsโ†”gallons); converting within metric system (mmโ†”cmโ†”mโ†”km; gโ†”kg; mLโ†”L); solving real-world measurement problems including elapsed time calculations and money
Data collection and representation: types of data (categorical vs. quantitative); collecting and organizing data; interpreting and creating: bar graphs, line graphs, dot plots (line plots), histograms, box plots (box-and-whisker), circle graphs (pie charts), and scatterplots; choosing appropriate graph types for different data; reading scales and axes accurately; interpreting trends and patterns in data
Measures of center and spread: calculating mean (sum รท count), median (middle value when ordered), and mode (most frequent value); knowing when each is most appropriate (mean for symmetric data; median when there are outliers); range as a measure of spread; how outliers affect the mean vs. the median; relating the shape of a data distribution to the appropriate measure of center
Probability: probability as the likelihood of an event occurring (scale from 0 = impossible to 1 = certain); theoretical probability = favorable outcomes รท total possible outcomes; experimental probability from data; sample spaces (listing all outcomes); complementary events (P(A) + P(not A) = 1); simple probability calculations with coins, dice, spinners, cards, and marble scenarios; connecting probability to fractions and percents

Registration, Test Day & Scoring

Everything you need to know before and on exam day for the 7003 Mathematics subtest.

Registration

Where to registerpraxis.ets.org
Testing formatsIn-person or remote
Can take standaloneYes โ€” 7003 independently
Arrive (in-person)30 min early

Scoring

Score typeScaled score
Wrong answer penaltyNone
Passing scoreVaries by state
Results available~5 weeks post-test
State requirementsets.org/praxis/states

Test Day

CalculatorOn-screen scientific โœ“
Personal calculatorNot permitted
Question typesSR + numeric-entry
Part of series7001 Multiple Subjects

Retirement Timeline

7003 retiresAugust 2028
Replaced by8003 (68 questions)
New series launchedMarch 9, 2026
Verify your stateets.org/praxis/states

Passing Score Requirements by State

Passing scores are set individually by each state or licensing agency.

Important: Passing score requirements for the Elementary Education: Mathematics (7003) are set individually by each state or licensing agency. Always verify the exact passing score for your state at ets.org/praxis/states before registering โ€” and confirm your state still requires the 7003 rather than the new 8003.

There is no penalty for incorrect answers โ€” always answer every question. Numeric-entry questions require you to type in the exact numerical answer (not selected from choices). Some questions may not count toward the score.

How to Prepare for the Praxis Elementary Education: Mathematics (7003)

Strategies for a 40-question mathematics subtest covering all three content categories โ€” with a scientific calculator provided throughout.

  • Verify your state still requires the 7003 before you register โ€” many states have already transitioned to the new 8003. This is the single most important step. The 7003 and 8003 have different question counts (40 vs. 68), different passing scores (set by each state), and some states now require only the 8003. Registering for the wrong test means paying again and potentially delaying certification. Check ets.org/praxis/states before doing anything else.
  • All three categories carry significant weight โ€” no single category dominates, but Number and Operations is the largest at ~36%. The 40 questions split approximately: Number and Operations (~14โ€“15 questions), Algebraic Thinking (~12 questions), and Geometry/Measurement/Data/Stats/Probability (~13โ€“14 questions). Take a diagnostic test to identify which category needs the most attention, then systematically address all three. The most common mistake is over-studying Number and Operations and neglecting Algebraic Thinking or the Data/Statistics portion of Category III.
  • The scientific calculator is provided โ€” but conceptual understanding of every topic is still required. Many of the 40 questions test whether you understand a mathematical concept well enough to solve a problem, explain why a procedure works, or evaluate a student's reasoning โ€” tasks where the calculator provides no advantage. Reserve the calculator for multi-step computation, unit conversion, and probability calculations. Don't let calculator availability lead you to under-prepare conceptual understanding of fractions, proportional reasoning, or algebraic expressions.
  • Fractions are the most heavily tested elementary mathematics topic โ€” know them in conceptual depth, not just procedurally. Fraction questions appear across all three categories: comparing fractions and mixed numbers (Category I); writing equations involving fractional quantities (Category II); and computing areas with fractional side lengths or interpreting data involving fractions (Category III). Know all four operations with fractions using multiple representations (number lines, area models, visual models, algorithms) โ€” not just the procedure but why each operation works.
  • Algebraic Thinking (~30%) tests whether you can translate between representations โ€” verbal, tabular, graphical, and symbolic. The most common Algebraic Thinking question type presents a real-world scenario and asks you to write an expression or equation representing it, or presents a graph/table and asks you to identify the corresponding linear equation. Practice translating in all four directions: verbal โ†” symbolic โ†” tabular โ†” graphical. Know the meaning of slope as rate of change and y-intercept as starting value in real-world contexts.
  • Download the official ETS Study Companion for the 7003 and complete all sample questions with full explanations before test day. The Study Companion is available free at praxis.ets.org and contains the complete content specification, discussion questions for each category, and authentic sample questions with detailed explanations. For the 7003 specifically, the mathematics discussion questions (which ask you to solve problems, explain concepts, and evaluate mathematical reasoning) are the most valuable preparation tool. Also familiarize yourself with the ETS on-screen scientific calculator by downloading the 30-day trial version before test day.

Frequently Asked Questions

Answers sourced from official ETS Praxis Elementary Education: Mathematics (7003) test page and ETS series documentation.

How many questions are on the Praxis Elementary Education: Mathematics (7003)?
The exam contains 40 selected-response and numeric-entry questions across three categories: Number and Operations (~36%, ~14โ€“15 questions), Algebraic Thinking (~30%, ~12 questions), and Geometry, Measurement, Data, Statistics, and Probability (~34%, ~13โ€“14 questions). An on-screen scientific calculator is provided.
Is a calculator provided on the Praxis 7003?
Yes. An on-screen scientific calculator is provided throughout the exam. No personal calculators are permitted. Know how and when to use it โ€” it will be helpful for some computation questions, but many questions test conceptual mathematical understanding where the calculator adds no advantage.
Is the Praxis 7003 being retired?
Yes. The 7003 is part of the old 7001 Multiple Subjects series, which retires in August 2028. It is being replaced by the new Elementary Education Fundamentals: Mathematics (8003), launched March 9, 2026, with 68 questions and 10โ€“15% teaching scenario questions. Both tests are currently live. Always verify your state's requirement at ets.org/praxis/states before registering.
What is the difference between the Praxis 7003 and 8003?
The 7003 has 40 questions, 3 content categories, and is part of the old 7001 Multiple Subjects series (retiring August 2028). The 8003 has 68 questions, 4 content categories, explicitly incorporates 10โ€“15% teaching scenario questions, aligns to CAEP Kโ€“6 and AMTE standards, and supports Praxis Steps modular testing (Summer 2026). Many states have already transitioned to requiring the 8003. Always check your state requirements first.
Can I take the 7003 subtest independently without taking the full 7001?
Yes. You can register for and take individual subtests of the 7001 separately. The 7003 (Mathematics) can be taken independently. Some states may require all four subtests (7002, 7003, 7004, 7005) for licensure; others may require only specific subtests. Always verify your state's exact requirements at ets.org/praxis/states.
Is there a penalty for wrong answers on the Praxis 7003?
No. Your score is based solely on correct answers โ€” there is no penalty for wrong answers. Always answer every question. Never leave a question blank. Numeric-entry questions require typing in the exact numerical answer.
What is the passing score for the Praxis Elementary Education: Mathematics (7003)?
Passing scores vary by state or licensing agency. Always verify the specific requirement for your state at ets.org/praxis/states before registering.

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Adaptive practice questions covering all three mathematics content categories โ€” Number and Operations, Algebraic Thinking, and Geometry/Measurement/Data/Statistics/Probability. Category-level analytics so you know exactly where to focus.

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Sources: ETS Praxis Elementary Education: Mathematics (7003) official test page (praxis.ets.org/test/7003.html); ETS Elementary Education: Multiple Subjects (7001) series page; ETS Elementary Education Fundamentals: Mathematics (8003) official test page; Council for the Accreditation of Educator Preparation (CAEP) Kโ€“6 Elementary Teacher Preparation Standards; Association of Mathematics Teacher Educators (AMTE) Standards for Preparing Teachers of Mathematics. Praxisยฎ is a registered trademark of ETS. This site is not affiliated with or endorsed by ETS. Passing score requirements vary by state โ€” always verify at ets.org/praxis/states.
Last Updated: May 22, 2026