Mechanical Engineering and Math Test
For jobseekers
Practice your skills and earn a certificate of achievement when you score in the top 25%.
Take a Practice TestFor companies
Screen real Mechanical Engineering and Math skills, flag human or AI assistance, and interview the right people.
About the test
The mechanical engineering and math test assesses knowledge of various engineering disciplines and the ability to solve mathematical problems.
The assessment includes work-sample tasks such as:
- Properly dimension electrical elements in an electric circuit.
- Understand the behavior of materials under different temperatures.
- Solve linear equations to calculate variables.
A good mechanical engineer needs a solid understanding of engineering physics, mathematics principles, and materials science in order to design, analyze, manufacture, and maintain mechanical systems effectively.
Sample public questions
A company is developing a temperature alarm, based on the schema below, that should close an electric circuit when the temperature rises above 150°C:

| Linear coefficient of thermal expansion (x10-6K-1) | Volumetric mass density (kg/m3) | Melting point (°C) | |
|---|---|---|---|
| Brass | 13 | 8600 | 1000 |
| Copper | 17 | 8940 | 1100 |
| Iron | 11.8 | 7870 | 1500 |
| Mercury | 181 | 13540 | -39 |
| Polystyrene | 70 | 1060 | 100 |
| Steel | 12 | 7800 | 1600 |
Based on available materials and their properties, choose materials for the temperature alarm that require the smallest temperature difference to do the task.
For Material 1: ___
For Material 2: ___
Before purchasing seeds, a farmer needs to know the area of his land. Since one end of his property is currently unapproachable, he measured only three sides. This is his sketch with measurements:

What is the area of the land?
For jobseekers: get certified
Earn a free certificate by achieving top 25% on the Mechanical Engineering and Math test with public questions.
Take a Certification TestSample silver certificate
Sunshine Caprio
Java and SQL TestDomeCertificate
For companies: premium and custom questions
Buy TestDome to access premium questions that can't be practiced, or build your own custom questions.
For job roles
- Automotive Engineer
- Industrial Engineers
- Maintenance Engineers
- Mechanical Engineer
Skills and topics tested
- Engineering Math
- Combinatorics
- Permutation
- Geometry
- Trigonometry
- Volume
- Linear Algebra
- Linear Equations
- Vectors
- Probability
- Without Replacement
- Combination
- Median
- Mode
- Quartile
- Statistics
- Independent Events
- Calculus
- Integration
- Nonlinear System
- Polynomial Function
- Arithmetic
- Fractions
- Derivation
- Function Extrema
- Matrix
- Matrix Addition
- Scalar Multiplication
- Mechanical Engineering
- Materials Properties
- Volumetric Mass Density
- Force
- Lever
- Angular Momentum
- Electric Motor
- Electricity
- Synchronous Motor
- Thermal Expansion
- Thermodynamics
Custom question types
Add your own custom questions in any of these formats:
- Multiple Choice
- Text Answer
- Multiple Correct Answers
- Live Coding
- Fill the Blanks
- File Upload
- Multiple MCQ
- Number Picker
- File Upload with Validator
- AI Validated Text
- Recording
8000+ organizations build their own questions with TestDome.
Sample candidate report
18 more premium Mechanical Engineering and Math questions
Classification Yard, Attic, Handbarrow, Sensor Set, Chocolate Box, Bouquet of Roses, Overtime, Roulette, Car Velocity, Contest Idea, Fraction Equation, Car Acceleration, Accelerometer, Construction Yard, Clutch Pedal, KERS, Motor Speed, Railway Track.
AI-driven cheating detection
Every plan includes all proctoring features, including AI proctoring.
No upgrade, no add-on.
Protect against bad hires with automated highlighting of possible cheating attempts. Spend less time reviewing proctoring details and identify cheating in seconds.
What others say
Reliable, AI-ready technical testing
I thought the rise of AI would render it obsolete, BUT, the platform has definitely adapted to the changing times and I find it to be the only reliable way to do our online technical assessments nowadays. With its system proctoring and AI-detection tools, I feel confident that the applicants aren't able to cheat.
Product reviews
Used by
Solve all your skill testing needs
150+ Pre-made tests
130+ skills
AI-ready assessments
How TestDome works
Choose a pre-made test
or create a custom test
Invite candidates via
email, URL, or your ATS
Candidates take
a test remotely
Sort candidates and
get individual reports














