240's Praxis Core: Mathematics Study Guide Is 98% Test-Aligned
240's Praxis Core: Mathematics study guide is built around the official exam framework so you can study what is actually tested. This page shows exactly how the guide maps to the real exam — SMR by SMR and competency by competency — so you can see where coverage is strongest, where some depth gaps remain, and how each part of the guide supports your prep.
98%
test-aligned
26
Fully covered
1
Partially covered
0
Coverage gap
Based on a competency-by-competency review of the official framework and the lessons, practice questions, flashcards, videos, and study materials included in this guide.
1154
Practice Questions
138
Flashcards
67
Study Materials
37
Videos
Why Test Alignment Matters for Your Praxis Core: Mathematics Study Guide
Certification test standards are broad, but the exam questions are very specific. Our team of curriculum experts uses the 240 Study Guide Creation Process to ensure the most aligned, specific content for your Praxis Core: Mathematics (5733) test — so you are not wasting time on broad subject review that may not show up on exam day.
Why 240 Is the Best Choice for the Praxis 5733 Study Guide
- Built around the official exam framework
- Organized by the competencies actually used on the exam
- Shows exactly what is covered and where depth is partial
- Includes aligned questions, flashcards, study materials, and videos
- Helps candidates study what is actually tested instead of broad generic content
Transparent coverage is a strength. We show where the guide is strong, where depth is partial, and where a gap has been identified so you can make an informed study decision.
How to Read This Alignment Review
3 domains · 27 competencies reviewed · 98% test-aligned
Covered— competency is comprehensively supported by the guide
Partially covered— core content is covered, but some depth gaps remain
Coverage gap identified— a content gap has been identified
This study guide is based on the current official exam framework
We review and update alignment whenever the official framework changes so candidates are always studying current, accurate material.
NUMBER AND QUANTITY (DOMAIN I)
Covered
588 Qs35 Materials50 Cards17 VideosCovered
| Official Competency | Matching 240 Topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| a. Solve problems involving integers, decimals, and fractions | M.Representations of Fractions in Word Problems; M.Fraction Operations - Multiply and Divide; M.Fraction Operations - Mixed Numbers; M.Basic Operations; M.Add and Subtract Negatives; M.Multiply and Divide Negatives; M.Fraction Operations - Add and Subtract; M.Order of Operations | Covered | 120 | 8 | 19 | 2 | Covered by 8 topics (120 questions, 8 materials, 19 cards, 2 videos). |
| b. Solve problems involving percent | M.Ratios, Proportions, Percents; M.Percent Change; M.Fraction, Decimal, Percentage Conversions | Covered | 68 | 3 | 10 | 3 | Covered by 3 topics (68 questions, 3 materials, 10 cards, 3 videos). |
| c. Solve problems involving constant rates (e.g., miles per hour, gallons per mile, cubic feet per minute) | M.Ratios; M.Unit Rates; M.Ratios, Proportions, Percents; M.Converting Units - Proportional Reasoning; M.Converting Units - Dimensional Analysis; M.Proportional Reasoning - Word Problems | Covered | 149 | 6 | 5 | 5 | Covered by 6 topics (149 questions, 6 materials, 5 cards, 5 videos). |
| d. Demonstrate an understanding of place value, naming of decimal numbers, and ordering of numbers | M.Place Value; M.Place Value - Names; M.Compare Places on a Number Line; M.Order Real Numbers by Magnitude; M.Comparing Fractions; M.Place Value - Powers of 10 | Covered | 126 | 6 | 9 | 3 | Covered by 6 topics (126 questions, 6 materials, 9 cards, 3 videos). |
| e. Demonstrate an understanding of the properties of whole numbers (e.g., factors, multiples, even and odd numbers, prime numbers, divisibility) | M.Factors; M.Prime Factorization; M.Divisibility Rules; M.Inverse Operations; M.Justify and Prove Number Relationships | Covered | 77 | 5 | 11 | 2 | Covered by 5 topics (77 questions, 5 materials, 11 cards, 2 videos). |
| f. Identify counterexamples to statements using basic arithmetic | M.Conclusions from Premises; M.Counterexamples; M.Inverse Operations | Covered | 21 | 3 | 2 | 0 | Covered by 3 topics (21 questions, 3 materials, 2 cards, 0 videos). |
| g. Solve real-life problems by identifying relevant numbers, information, or operations (including rounding) | M.Reasonableness of Results; M.Prioritizing Relevant and Missing Information; M.Interpreting Remainders; M.Rounding; M.Connecting Situations with Operations | Covered | 58 | 5 | 3 | 2 | Covered by 5 topics (58 questions, 5 materials, 3 cards, 2 videos). |
| h. Solve problems involving units, including unit conversion and measurements | M.Converting Units - Proportional Reasoning; M.Converting Units - Dimensional Analysis; M.Proportional Reasoning - Scale Drawings | Covered | 62 | 3 | 3 | 3 | Covered by 3 topics (62 questions, 3 materials, 3 cards, 3 videos). |
DATA INTERPRETATION AND REPRESENTATION, STATISTICS, AND PROBABILITY (DOMAIN II)
Covered
251 Qs12 Materials41 Cards6 VideosCovered
| Official Competency | Matching 240 Topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| a. Work with data and data representations to solve problems | M.Solve for x - Linear with Pictograph; M.Calculating Elapsed Time; M.Graphs and Plots; M.Data Analysis and Interpretation | Covered | 90 | 4 | 10 | 3 | Covered by 4 topics (90 questions, 4 materials, 10 cards, 3 videos). |
| b. Solve problems involving measures of central tendency (e.g., mean, median) and spread (e.g., range, standard deviation) | M.Measures of Center and Range; M.Statistics of One-Variable Data | Covered | 66 | 2 | 4 | 1 | Covered by 2 topics (66 questions, 2 materials, 4 cards, 1 videos). |
| c. Use data from a random sample to draw inferences about characteristics of a population | M.Observations, Conclusions, and Relationships; M.Statistical Experiments | Covered | 22 | 2 | 11 | 0 | Covered by 2 topics (22 questions, 2 materials, 11 cards, 0 videos). |
| d. Identify positive and negative linear relationships in scatterplots | M.Bivariate Data Analysis | Covered | 17 | 1 | 7 | 1 | Covered by 1 topic (17 questions, 1 materials, 7 cards, 1 videos). |
| e. Use a linear model for a data set to make predictions | M.Line of Best Fit; M.Interpolation of Data; M.Bivariate Data Analysis | Covered | 26 | 3 | 8 | 1 | Covered by 3 topics (26 questions, 3 materials, 8 cards, 1 videos). |
| f. Differentiate between correlation and causation | M.Bivariate Data Analysis | Covered | 17 | 1 | 7 | 1 | Covered by 1 topic (17 questions, 1 materials, 7 cards, 1 videos). |
| g. Compute simple probabilities, and use probabilities to solve problems | M.Probability | Covered | 47 | 1 | 8 | 1 | Covered by 1 topic (47 questions, 1 materials, 8 cards, 1 videos). |
ALGEBRA AND GEOMETRY (DOMAIN III)
Partially covered
SMR III.A Algebra
203 Qs13 Materials18 Cards8 VideosPartially covered
| Official Competency | Matching 240 Topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| 1. Demonstrate an understanding of the properties (commutative, associative, and distributive) of the basic operations (addition, subtraction, multiplication, and division) without needing to know the names of the properties | M.Equivalence of Expressions - To Simplify | Covered | 22 | 1 | 4 | 1 | Covered by 1 topic (22 questions, 1 materials, 4 cards, 1 videos). |
| 2. Demonstrate the ability to follow an arithmetic or algebraic procedure (e.g., using a step-by-step procedure, using a simple flowchart, applying a simple recurrence sequence) by carrying it out or analyzing it | M.Patterns - Developing an Expression; M.Sequences - Follow Steps; M.Sequences - Find overlap | Covered | 32 | 3 | 1 | 1 | Covered by 3 topics (32 questions, 3 materials, 1 cards, 1 videos). |
| 3. Use properties of operations to identify or generate equivalent algebraic expressions (e.g., multiplication of whole numbers gives the same result as repeated addition, multiplication by 0.1 gives the same result as division by 10) | M.Whole Number Operations on a Number Line | Partially covered | 5 | 1 | 1 | 1 | Partial coverage by 1 topic (5 questions, 1 materials, 1 cards, 1 videos); limited supporting content. |
| 4. Write an equation or expression that models a real-life or mathematical problem | M.Verbal to Symbolic Linear Equations; M.Verbal to Symbolic Expression - Basic | Covered | 65 | 2 | 5 | 1 | Covered by 2 topics (65 questions, 2 materials, 5 cards, 1 videos). |
| 5. Solve word problems, including problems involving linear relationships and problems that can be represented by Venn diagrams | M.Symbolic to Verbal; M.Verbal to Symbolic Linear Equations; M.Linear Equation Word Problems; M.Diagrams | Covered | 63 | 4 | 10 | 2 | Covered by 4 topics (63 questions, 4 materials, 10 cards, 2 videos). |
| 6. Solve linear equations in one variable algebraically | M.Solve for x - Linear (Multiple Variables); M.Solving One-Variable Equations | Covered | 23 | 2 | 0 | 1 | Covered by 2 topics (23 questions, 2 materials, 0 cards, 1 videos). |
| 7. Solve simple quadratic equations (e.g.X^2=49 ) | M.Quadratic Equations | Covered | 15 | 1 | 3 | 1 | Covered by 1 topic (15 questions, 1 materials, 3 cards, 1 videos). |
SMR III.B Geometry
112 Qs7 Materials31 Cards6 VideosCovered
| Official Competency | Matching 240 Topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| 1. Utilize basic properties of common two-dimensional shapes to solve problems | M.Attributes of Two-Dimensional Shapes | Covered | 18 | 1 | 19 | 0 | Covered by 1 topic (18 questions, 1 materials, 19 cards, 0 videos). |
| 2. Utilize facts about angles to solve problems | M.Angles in Triangles; M.Solving with Points, Lines, Planes, Angles | Covered | 39 | 2 | 6 | 2 | Covered by 2 topics (39 questions, 2 materials, 6 cards, 2 videos). |
| 3. Utilize facts about congruency and similarity of geometric figures to solve problems | M.Proportional Reasoning - 2D Shapes | Covered | 13 | 1 | 2 | 1 | Covered by 1 topic (13 questions, 1 materials, 2 cards, 1 videos). |
| 4. Use the formulas for the area and circumference of a circle to solve problems | M.Measurements in Circles | Covered | 18 | 1 | 3 | 1 | Covered by 1 topic (18 questions, 1 materials, 3 cards, 1 videos). |
| 5. Use the formulas for the perimeter and area of a triangle and a rectangle and the formula for the volume of a rectangular prism (box) to solve problems | M.Area and Perimeter of Rectangles and Triangles; M.Volume of Box | Covered | 24 | 2 | 3 | 2 | Covered by 2 topics (24 questions, 2 materials, 3 cards, 2 videos). |
How 240 Creates The Praxis Core: Mathematics (5733) Study Guide
Learn more →Every 240 study guide starts with the official exam framework. From there, we organize lessons, practice, and study tools around the categories the exam uses to measure candidate knowledge.
1
Review the official exam framework
We begin with the standards, domains, competencies, objectives, or content categories published by the testing authority.
2
Map the tested categories
We map every major area the exam is designed to cover so the guide reflects the real structure of the test.
3
Build lessons around tested content
We create study materials to support the official blueprint, not broad filler content.
4
Cross-check practice against exam expectations
We review practice content against the framework and real exam patterns so preparation stays targeted.
5
Review and update as standards change
When official frameworks change, we review guides and update alignment as needed.
Reviewed by subject-matter experts and maintained to reflect current standards.
Built By Teachers for Teachers
You're not on this journey alone. Our 240 teachers have firsthand experience with these exams. Real teachers with real experience are behind the scenes to help guide you into the classroom where YOU belong.
Why 240 Is Better Than Other Generic Study Guides
Not all study guides are built the same way. Here is what separates a test-aligned guide from a generic one — and why it matters when you are preparing for the Praxis Core: Mathematics.
Generic
Generic Prep
✕Covers broad subject areas without structure
✕No clear connection to the official exam framework
✕Practice questions may not reflect the real test format
✕May not update when official standards change
~Can be helpful for quick, broad review
Test-aligned
240 Test-Aligned Praxis 5733 Prep
✓Every lesson maps to an official domain or competency
✓Built directly from the official exam framework
✓Practice questions aligned to what the exam actually measures
✓A clear study path by tested category
✓Study smarter and enter test day more prepared
FAQs About the Praxis Core: Mathematics Study Guide
The questions teacher candidates ask us most often about the Praxis Core: Mathematics study guide.
1
Is 240 a good study guide for Praxis Core: Mathematics?
240 is a strong option because the guide is built around the official exam framework and shows detailed alignment by SMR and competency.
2
How closely does 240 align to the Praxis 5733 exam?
This guide is 98% aligned based on a competency-by-competency review of the official framework and the study resources included in the guide.
3
Does 240 cover every competency?
This page shows coverage transparently across covered, partially covered, and identified gaps so candidates can see exactly how the guide maps to the exam.
4
What does “partially covered” mean?
Partially covered means the guide addresses the core parts of a competency, but some depth or subtopics may still be limited.
Study What's Actually on the Praxis 5733 Exam
Start with a study guide built around the real exam. 240's guide maps lessons and study tools to official competencies so you can prepare more efficiently and more confidently.