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Free 8th Grade Math Test

A topic-by-topic picture of what your child truly understands in their grade math — not just a score — plus a report to share with their teacher.

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Here’s How It Works

Submit the Test

Submit after your child has attempted all 12 questions.

See the Score

Your child’s MathFit™ score out of 10 appears the moment they submit.

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Enter your email to see how your child did on every skill and topic, plus personalized tips that build both their skills and math mindset.

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Save the report to share with your child’s school teacher.

CUEMATH

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Your child's MathFit™ score

7.2

/10 | Developing

Breakdown unlocked

Fluency

Your child recalls number facts quickly and accurately.

7/10

Topic Results

✓ Place value

✓ Adding 2-digit numbers

✗ Subtracting 2-digit numbers

Understanding · 8/10 ▾

Personalized parent tips

Application

Turn everyday moments into word problems — sharing snacks or measuring height at home.

Mindset · Confidence

Start with 3–5 easy problems your child solves quickly, then move to harder ones to build momentum.

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Math Test for Grade 8

Test your math skills across Fluency, Understanding, Application & Reasoning

0 of 12 answered

Fluency

8 questions · 8 min

Evaluate:

\(-1+(-\frac{7}{4}+\frac{5}{6})-(-\frac{2}{3}+\frac{3}{8})\)

\(y\) varies inversely as \(x\).

\(x\)	\(5\)	\(8\)
\(y\)	\(12\)	?

What is the missing quantity?

Find the hypotenuse of a right triangle whose base is \(9\ cm\) and height is \(12\ cm\).

Understanding

7 questions · 8 min

Max, Bob, Speckie and Jiggi each tried to simplify \(x^2\div x^8\).

Who did it correctly?

The radius and the height of a cylinder are in the ratio \(1:3\). If the radius is doubled, while keeping the height unchanged, what is the ratio of the total surface area of the original cylinder to the new one?

Which of the following are the factors of the expression \(3x^2-11x+10\) ?

Application

5 questions · 7 min

During the summer months, a city's public library monitors its electricity usage.

Month I: The library used \(2,\!400\) kilowatt-hours (kWh) of electricity. They then installed energy-efficient LED lights and set timers on air conditioners.

Month II: Electricity usage decreased by \(25\%\).

Month III: Due to a heatwave, the air conditioners were used more often, and the electricity usage increased by \(25\%\) from Month II.

What was the overall percentage change in the library's electricity usage from the Month I to the Month III?

During the renovation of a school, a mason needs to construct a new wall for the playground boundary. The wall will be \(11\ m\) long, \(3.5\ m\) high, and \(40\ cm\) thick. Each brick measures \(22\ cm\times10\ cm\times7\ cm\), and cement and sand together occupy \(10\%\) of the wall's total volume.

How many bricks will be required to construct the wall?

\(5\) years ago, Olivia's father was three times as old as Olivia.

After \(10\) years, her father will be twice as old as her. What is Olivia's present age?

Reasoning

5 questions · 7 min

Q10

Find the missing number if the same rule is followed in all the rows.

\(5\)	\(6\)	\(3\)	\(70\)
\(8\)	\(7\)	\(9\)	\(194\)
?	\(10\)	\(11\)	\(237\)

Q11

The two orientations of a dice are given below.

What number will be at the bottom, if V is at the top?

Q12

A traveller starts from a point \(A\) and travels \(3\ km\) eastwards to \(B\) and then turns left and travels thrice that distance to reach \(C\).

He again turns left and travels five times the distance he covered between \(A\) and \(B\) and reaches his destination \(D\).

What is the shortest distance between \(A\) and \(D\)?

What Our 8th Grade Math Test Covers

Every question maps to a core 8th Grade topic — so the result reflects real classroom math.

Rational Numbers

Order of Operations on Rational Numbers

Percentage, Ratio and Proportion

Application of Direct and Inverse Variation

Application of Percentage Change

Triangles

Problems on Pythagoras Theorem

Exponents

Laws of Exponents

Mensuration

Application of Surface Area and Volume of Solids

Algebra

Factorization of Quadratic Expressions

Application of Linear Equations in One Variable

Rule of Patterns

Geometry and Spatial Reasoning

Views of Solids

Position and Location

Test Finds the Gaps. Cuemath Classes Close Them.

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How Our Math Tests Make Your Child MathFit™

This test measures the four skills that make a child MathFit™ — and the gaps it just uncovered are exactly what our expert tutors help your child master in live 1-on-1 sessions.

Fluency

Solving problems with accuracy, efficiency, and flexibility.

Example

Sorting shapes into triangles, quadrilaterals, and circles without counting sides each time.

Understanding

Moving beyond 'how' to 'why'.

Example

Knowing a square is a kind of rectangle — because the rules of one are built into the other.

Application

Using math across different problems and contexts.

Example

Using the same area logic for a rectangle, a triangle, and a parallelogram — same idea, different shape.

Reasoning

Training the brain to think logically and explain the choice.

Example

Explaining why two shapes with different sides can have the same area — and proving it works.

Keep Practicing With Free 8th Grade Worksheets

Free printable PDF practice across every 8th Grade topic. Because practice makes MathFit™.

Explore Other Math Tests

FAQs

What does the 8th grade math test cover?

The 8th grade math test covers Grade 8 topics across Rational Numbers (order of operations), Percentage, Ratio and Proportion (direct and inverse variation, percentage change), Triangles (Pythagoras theorem), Exponents (laws of exponents), Mensuration (surface area and volume of solids), Algebra (factorization of quadratic expressions, linear equations, rule of patterns), and Geometry and Spatial Reasoning (views of solids, position and location).

How is the 8th grade math test useful for high school prep?

Grade 8 math is the direct prerequisite for high school algebra and geometry. Gaps in linear equations, exponents, or geometric reasoning will surface immediately in 9th grade. Taking the 8th grade math test gives you time to close those gaps before high school begins.

How long does the 8th grade math test take?

12 questions, approximately 10–15 minutes. Encourage your child to work through each question carefully — the reasoning section is designed to stretch their thinking.

What is the Reasoning score on the 8th grade report?

Reasoning measures whether your child can approach unfamiliar problems logically, make connections between concepts, and justify their thinking. It is the most predictive score for success in high school math and standardized tests like the SAT and ACT.

Is the 8th grade math test free?

Yes, completely free. No account or credit card needed. Enter your email after the test to unlock the full concept breakdown and save the report.

My child is preparing for the PSAT or SAT — is this test useful?

Yes. The 8th grade math test measures the same foundational competencies that early SAT prep targets: algebraic reasoning, function understanding, and real-world application. Use it as a diagnostic 6–8 weeks before starting formal test prep.

Can I share the 8th grade math report with my child’s math teacher?

Yes. Save the full report as a PDF and share it with your child’s math teacher on WhatsApp, email, or any messaging app. Bringing it to a parent-teacher meeting gives the conversation a concrete, topic-specific foundation rather than a general discussion about grades.

What is the MathFit™ score?

The MathFit™ score is a number out of 10 that reflects your child’s overall math readiness for Grade 8 — and their preparedness for high school math.

What do Fluency, Understanding, Application, and Reasoning mean — and why do they matter?

Fluency measures accuracy and speed with Grade 8 procedures — order of operations on rational numbers, applying laws of exponents, solving linear equations. Understanding measures conceptual depth — whether your child grasps why the Pythagorean theorem works, what factorization of quadratic expressions represents, or how direct and inverse variation differ. Application measures whether they can use these skills in real-world contexts — surface area and volume of solids, percentage change problems, position and location in geometry. Reasoning is the most important dimension at Grade 8: it measures whether your child can think logically across topics, recognize patterns, and approach unfamiliar problems — the exact skills tested on the SAT, ACT, and high school math exams.