Stop guessing where the math gaps are.
This comprehensive, print-and-go math diagnostic assessment identifies which skills are secure, developing, missing, or not yet assessed. The seven-book system covers approximately Grade 2 through algebra readiness, making it useful for students with uneven skills, homeschoolers changing curricula, intervention planning, tutoring, microschools, and beginning-of-year placement.
The assessment includes 92 individual skills and 184 student problems across seven areas of mathematics. Each skill is checked with two problems, so one careless mistake does not automatically appear to be a major gap.
The seven assessment books
Book 1: Number Foundations
Place value and number sense
Rounding whole numbers and decimals
Factors, multiples, exponents, and prime factorization
Addition, subtraction, multiplication, and division
Long division and order of operations
Book 2: Fractions
Identifying and comparing fractions
Equivalent and simplified fractions
Improper fractions and mixed numbers
Adding, subtracting, multiplying, and dividing fractions
Mixed-number operations
Book 3: Decimals, Percents & Proportions
Decimal operations
Fraction, decimal, and percent conversions
Finding percentages and missing totals
Ratios and unit rates
Proportions and percent change
Book 4: Integers & Rational Numbers
Integer operations
Absolute value
Exponents and roots
Scientific notation
Rational and irrational numbers
Book 5: Expressions, Equations & Functions
Evaluating and writing expressions
One-step and two-step equations
Distributive property and combining like terms
Coordinate-plane skills
Linear rules, slope, and slope-intercept form
Inequalities
Book 6: Geometry & Measurement
Angles, triangles, and quadrilaterals
Perimeter and area
Measurement conversions
Circles
Volume
Pythagorean theorem
Book 7: Data, Statistics & Probability
Reading and interpreting graphs
Mean, median, mode, and range
Choosing the best measure of center
Single-event probability
Probability of events not occurring
Independent events
What is included
86-page printable PDF
Complete administration guide
Suggested starting points based on entering grade
Backtracking directions to locate the student’s current skill floor
Student assessment pages
Complete answer and scoring keys
Individual skill profiles for all seven books
Secure, developing, gap, and N/A scoring categories
Two-page master results summary
Lesson recommendation charts for every assessed skill
Approximately 20-40 minutes per book
No calculator required
The assessment may be completed one book at a time or across approximately three to five sessions. There is no time limit, and students are not expected to complete material that is beyond their current instructional level.
Useful for
Homeschool placement and curriculum planning
Beginning-of-year math assessment
Tutoring intake
Math intervention
Microschool and learning-center placement
Identifying unfinished learning
Monitoring growth before selecting a new curriculum
Students whose abilities vary significantly by math strand
Important note
This is an informal, criterion-referenced skills assessment. It is designed to reveal patterns of strengths and gaps. It does not provide a standardized score, grade-equivalent score, disability diagnosis, or formal Algebra 1 placement decision.
