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Free Grade 8 Math Diagnostic Test

Use this 40-question diagnostic to identify strengths and learning gaps across all five major Grade 8 mathematics domains before beginning cumulative revision.

No email required 40 questions Worked solutions Printable PDF

Original GradeCove educational content. Common Core-aligned and independently published; not an official or endorsed Common Core assessment.

40questions
5math domains
2downloadable PDFs
Freeinstant access
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Student test, worked solutions, or the complete pack

Download the files separately or choose the complete ZIP to keep everything together.

PDF

Student Test

40 Grade 8 questions across Number System, Expressions & Equations, Functions, Geometry, and Statistics & Probability.

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PDF

Answer Key & Worked Solutions

Check answers and review the method used for each problem before planning follow-up practice.

Download Answer Key
Skills Assessed

Five major Grade 8 mathematics domains

Use the domain pattern to see whether weaknesses are concentrated in one area or spread across the curriculum.

NS

The Number System

Rational and irrational numbers and their representations.

EE

Expressions & Equations

Exponents, roots, scientific notation, slope, equations, and systems.

F

Functions

Representations, rate of change, initial value, and modeling.

G

Geometry

Transformations, similarity, Pythagorean reasoning, distance, and volume.

SP

Statistics & Probability

Scatter plots, lines of fit, two-way tables, and association.

How to Use It

Turn the result into a practical revision plan

1

Administer

Let the student work independently using the instructions printed on the test.

2

Score

Use the worked answer key to check responses and review the method.

3

Compare domains

Identify whether gaps are concentrated in NS, EE, Functions, Geometry, or Statistics & Probability.

4

Plan practice

Use the checklist or Complete Revision Pack to target weak domains and build cumulative confidence.

Next Steps

Build from diagnosis to high-school readiness

Checklist

Review the full Grade 8 skill map

Use the Grade 8 Math Skills Checklist to identify confident skills and priority review areas.

Open Grade 8 Checklist
Practice

Use three additional practice papers

The Complete Revision Pack provides a diagnostic-to-mastery sequence with cumulative Grade 8 practice.

View Grade 8 Pack
Free Resources

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Compare Grade 6, Grade 7, and Grade 8 diagnostics, checklists, and supporting review material.

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Ready for More Practice?

Continue with the complete Grade 8 revision pathway

160 questions • 4 assessments • worked solutions • study planning • progress tracking

View Grade 8 Complete Pack