Mechanical Engineering and Math Test

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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

Easy
7 min
num
Public
AI-resistant
Engineering Math
Area
Geometry
Pythagorean Theorem

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:

Image of farmland

What is the area of the land?

Easy
3 min
fill
Public
AI-resistant
Mechanical Engineering
Bimetal
Materials Properties

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:

Temperature Alarm

  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: ___

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18 more premium Mechanical Engineering and Math questions

KERS, Railway Track, Motor Speed, 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.

Skills and topics tested

  • Mechanical Engineering
  • Angular Momentum
  • Thermal Expansion
  • Thermodynamics
  • Electric Motor
  • Electricity
  • Synchronous Motor
  • 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
  • Materials Properties
  • Volumetric Mass Density
  • Force
  • Lever

For job roles

  • Automotive Engineer
  • Industrial Engineers
  • Maintenance Engineers
  • Mechanical Engineer

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What others say

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Simple, straight-forward technical testing

TestDome is simple, provides a reasonable (though not extensive) battery of tests to choose from, and doesn't take the candidate an inordinate amount of time. It also simulates working pressure with the time limits.

Jan Opperman, Grindrod Bank

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