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Free Grade 7 Math Diagnostic Test

Use this 20-question diagnostic to identify strengths and learning gaps across proportional reasoning, rational numbers, expressions and equations, geometry, statistics, and probability.

No email required 20 questions Worked answer key Printable PDF

Original GradeCove educational content aligned to major Grade 7 mathematics domains. It is not an official or endorsed Common Core assessment.

20questions
35minutes
5content domains
Nocalculator recommended
Choose Your Download

Everything you need to administer and score the test

All files are ready to print on U.S. Letter paper. Download the student test, answer key, or the complete ZIP.

PDF

Student Test

20 questions, instructions, answer record, domain map, and scratch-work space.

Download Student PDF
PDF

Worked Answer Key

Quick answers, domain scoring, score interpretation, and step-by-step worked solutions.

Download Answer Key
Skills Assessed

Five Grade 7 mathematics domains

Each domain contributes four questions so the result can be interpreted by topic instead of only by total score.

RP

Proportional Relationships

Unit rates, proportional equations, discounts, and simple interest.

NS

The Number System

Operations and contextual use of positive and negative rational numbers.

EE

Expressions & Equations

Equivalent expressions, equations, and inequalities.

G

Geometry

Scale drawings, circles, angle relationships, and surface area.

SP

Statistics & Probability

Sampling, variability, simple probability, and compound events.

Use the Result Well

From diagnostic score to revision plan

Use both the total score and the five domain scores. A strong overall result can still hide a weak topic that needs focused review.

1Administer independently
2Score by question and domain
3Identify repeated error patterns
4Choose one or two priority targets
17–20

Strong readiness

Maintain skills with mixed application and cumulative practice.

13–16

Mostly ready

Review the domains containing missed questions.

9–12

Developing readiness

Plan targeted review before advancing to more complex work.

0–8

Priority review

Revisit important prerequisites and Grade 7 foundations.

Next Steps

Connect the diagnostic to targeted Grade 7 review

Checklist

Map the full Grade 7 curriculum

Use the broader checklist to mark each skill as Confident, Practice, or Not Yet.

Open Grade 7 Checklist
Topic Review

Strengthen proportional relationships

Review unit rates, tables, graphs, equations, and percent problems.

Open Practice Guide
Full Practice

Move into cumulative revision

Use the Grade 7 Complete Revision Pack for three additional practice papers and worked solutions.

View Grade 7 Pack