STEM proficiency test: math and science entrance exam quiz
Quick, free math and science quiz to check your skills. Instant results.
This STEM proficiency test helps you check core math and science skills for entrance exams. Work through quick questions, see instant results, and spot topics to review. For extra practice, try our engineering aptitude test or take a basic math quiz; if mechanics is your weak spot, explore a statics quiz.
Study Outcomes
- Identify Leading Terms in Polynomials -
Accurately determine the leading term in a polynomial expression by analyzing its highest-degree component.
- Calculate Synthetic Division Quotients -
Perform synthetic division to quickly find quotient values when dividing polynomials by linear factors.
- Apply Physics Formulas -
Use fundamental physics equations to solve problems involving motion, force, and energy within the STEM pop quiz context.
- Solve Geometry Examples -
Compute areas, perimeters, and angles to tackle basic geometry questions with confidence.
- Analyze Engineering Concepts -
Interpret engineering scenarios and apply critical thinking to resolve practical STEM test challenges.
- Evaluate STEM Skills with Instant Feedback -
Use instant quiz results as a stem reviewer tool to track progress and identify areas for improvement.
Cheat Sheet
- Leading Term and End Behavior -
Identifying the leading term of a polynomial reveals its end behavior and overall growth rate. For instance, in 4x³ - 2x + 7 the leading term 4x³ dominates as x→±∞, so f(x)→±∞ accordingly. This concept is crucial for quick predictions in any stem pop quiz or stem test.
- Synthetic Division Quotient -
Synthetic division offers a streamlined method to divide a polynomial by a linear factor and extract the quotient and remainder. For example, dividing x³ - 6x² + 11x - 6 by (x - 1) yields quotient x² - 5x + 6 and remainder 0. Mastering this process boosts speed in both math exams and your STEM reviewer sessions.
- Newton's Second Law (F=ma) -
Newton's second law relates force, mass, and acceleration with the simple formula F = ma, where F is in newtons, m in kilograms, and a in meters per second squared. This principle underpins everything from basic mechanics problems to engineering design. Remembering F=ma is a go-to trick for physics questions in your STEM pop quiz.
- Key Geometry Formulas -
Memorize foundational area and volume equations like A = πr² for circles and V = 4/3 πr³ for spheres to solve geometry problems quickly. A mnemonic trick is "Pie Are Square, Four-Thirds Pie Are Cubed." These formulas repeatedly appear across math and engineering sections of a stem test.
- Ohm's Law and Power in Circuits -
Ohm's law, V = IR, and the power relation P = IV form the backbone of basic circuit analysis in technology and engineering. Knowing that voltage equals current times resistance lets you solve for any one variable when two are known. Practice these in simple loop problems to ace the electronics portion of your STEM reviewer.