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Quizzes > Quizzes for Business > Education

Take the STEM Knowledge Assessment Quiz

Test Your STEM Skills and Knowledge

Difficulty: Moderate
Questions: 20
Learning OutcomesStudy Material
Colorful paper art depicting elements related to STEM for a knowledge assessment quiz

Start sharpening your STEM fundamentals with this engaging practice quiz designed to challenge your understanding across science, technology, engineering, and math. Ideal for students and educators seeking a quick STEM assessment, it helps identify strengths and areas for growth. You can freely customize each question in our editor to suit your learning goals or teaching plans. Get instant feedback on your performance to track improvement and deepen your knowledge. Explore similar challenges like the University STEM Programs Knowledge Test or the Knowledge Assessment Quiz , and browse more quizzes for diverse topics.

What is the approximate acceleration due to gravity at Earth's surface?
9.8 m/s^2
8.9 m/s^2
10.5 m/s^2
9.8 km/s^2
The standard acceleration due to gravity at Earth's surface is approximately 9.8 meters per second squared. This value is derived from gravitational constant and Earth's mass and radius.
What is the chemical formula for water?
H2O
HO2
H2O2
OH2
Water consists of two hydrogen atoms bonded to one oxygen atom, giving the chemical formula H2O. This notation reflects the ratio of atoms in each molecule.
Solve for x: x + 5 = 12.
7
17
-7
5
Subtracting 5 from both sides of the equation x + 5 = 12 isolates x, yielding 7. This simple algebraic manipulation shows x = 7.
In a series electrical circuit, what is true about the current through each component?
The current is the same through all components
The current splits at each component
The current is zero
The current only flows through one component
In a series circuit, the same current flows through each component because there is only one path for charge flow. This contrasts with parallel circuits where currents can split.
What best describes an algorithm in computing?
A step-by-step procedure for solving a problem
A type of computer hardware
A network communication protocol
A graphic design standard
An algorithm is a step-by-step procedure or set of rules for solving a problem or performing a computation. It defines a clear sequence of operations to achieve a desired outcome.
An object travels 100 meters in 5 seconds. What is its average speed?
10 m/s
20 m/s
50 m/s
500 m/s
Average speed is total distance divided by total time, so 100 meters in 5 seconds yields 20 m/s. It reflects the constant speed required to cover the distance in that time.
What is the derivative of sin(x) with respect to x?
-sin(x)
cos(x)
-cos(x)
sin(x)
The derivative of sin(x) with respect to x is cos(x) according to standard differentiation rules. This is a fundamental result in calculus for trigonometric functions.
Given the reaction 2 H2 + O2 → 2 H2O, if you have 5 moles of H2 and 2 moles of O2, how many moles of H2O are produced?
2 moles
3 moles
4 moles
5 moles
According to the balanced equation 2 H2 + O2 → 2 H2O, 2 moles of hydrogen react with 1 mole of oxygen to produce 2 moles of water. Given 5 moles of H2 and 2 moles of O2, oxygen is limiting and yields 4 moles of H2O.
In a voltage divider with equal resistors R1 and R2, what is the output voltage Vout relative to the input Vin?
Vin
Vin/2
2 Vin
0
In a voltage divider with equal resistors R1 and R2, the output voltage is half of the input voltage. The resistors split the voltage equally when their values are identical.
What is the time complexity of binary search on a sorted list of n elements?
O(n)
O(log n)
O(n log n)
O(n^2)
Binary search on a sorted list halves the search interval at each step, leading to a time complexity proportional to the logarithm of the data size. Therefore, the time complexity is O(log n).
Solve the system: 2x + 3y = 6 and x - y = 2. What is (x, y)?
(2, 4)
(2.4, 0.4)
(4, 2)
(1, 1)
Substituting x = y + 2 from the second equation into the first gives 2(y + 2) + 3y = 6, leading to 5y = 2 and y = 0.4. Then x = 2 + 0.4 = 2.4.
Which type of chemical bond is formed by sharing electron pairs between atoms?
Ionic bond
Covalent bond
Metallic bond
Hydrogen bond
Covalent bonds form by sharing electron pairs between atoms, resulting in molecule formation. This is distinct from ionic bonds, which involve electron transfer.
Which of the following is a high-level programming language?
Python
Assembly
Machine code
Binary
Python is considered a high-level programming language because it abstracts complex hardware details and has human-readable syntax. Assembly and machine code are low-level and map closely to hardware instructions.
Which mode of heat transfer involves energy transfer through direct molecular contact?
Convection
Conduction
Radiation
Evaporation
Conduction is heat transfer through direct molecular contact without bulk movement of the medium. This differs from convection, which involves fluid motion, and radiation, which involves electromagnetic waves.
A solution has a pH of 3. How would you classify it?
Acidic
Basic
Neutral
Amphoteric
A solution with pH 3 is acidic because its hydrogen ion concentration is higher than that of a neutral solution (pH 7). Lower pH values indicate stronger acidity.
Evaluate the integral ∫₀¹ x eˣ dx.
1
e - 1
e
1/e
Integrating by parts gives ∫ x e^x dx = (x − 1)e^x + C. Evaluating between 0 and 1 yields (1−1)e^1 − (0−1)e^0 = 0 − (−1) = 1.
For a cantilever beam with F=100 N, L=2 m, E=2×10¹¹ Pa, I=1×10❻❶ m❴, what is the deflection at the free end (δ = FL³/(3EI))?
1.33 mm
0.67 mm
13.3 mm
133 mm
The deflection of a cantilever beam under a point load at the free end is δ = FL³/(3EI). Substituting the given values yields 0.00133 meters, or approximately 1.33 millimeters.
What is the worst-case time complexity of the Quicksort algorithm?
O(n log n)
O(n^2)
O(n)
O(log n)
Worst-case performance of Quicksort occurs when partitions are highly unbalanced, leading to a time complexity proportional to n squared. This makes the worst-case O(n^2).
On a material stress-strain curve, which metric defines yield strength when no clear yield point exists?
Ultimate tensile strength
Proportional limit
0.2% offset yield strength
Fracture strength
The yield strength in a stress-strain curve is commonly defined by the 0.2% offset method when no clear yield point exists. This specifies stress at a permanent strain of 0.2%.
Which Maxwell equation represents Faraday's law of induction?
∇·E = ϝ/ε₀
∇·B = 0
∇×E = −∂B/∂t
∇×B = μ₀J + μ₀ε₀ ∂E/∂t
Faraday's law of induction is expressed by ∇×E = −∂B/∂t, relating the changing magnetic field to the induced electric field. This is one of Maxwell's four equations describing electromagnetism.
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Learning Outcomes

  1. Analyse core STEM concepts across disciplines
  2. Evaluate experimental data and results effectively
  3. Identify mathematical patterns and solutions accurately
  4. Apply engineering principles to solve real-world problems
  5. Demonstrate technology-driven problem-solving abilities
  6. Master theoretical foundations in science, tech, and math

Cheat Sheet

  1. Understand the Scientific Method - The scientific method is the ultimate detective's guide, leading you from curious observation through hypothesis, experimentation, and solid conclusions. It ensures that your findings are reliable, unbiased, and reproducible - no guesswork allowed! Embrace this systematic approach to boost your critical thinking and sleuthing skills. UC Berkeley's Understanding Science
  2. Master Newton's Laws of Motion - Newton's three laws describe how forces interact with objects, from inertia and acceleration to action-reaction pairs! Understanding these core principles unlocks the secrets of everything moving around you, from rolling balls to orbiting planets. Practice applying them to everyday scenarios to see physics come alive. The Physics Classroom overview
  3. Familiarize Yourself with the Periodic Table - This legendary table arranges elements by atomic number and shared properties, revealing trends in reactivity, atomic radius, and more. Spotting patterns can feel like cracking a secret code that predicts how substances behave. Have fun exploring the interactive layout to test your chemistry instincts! RSC Interactive Periodic Table
  4. Learn the Pythagorean Theorem - a² + b² = c² links the sides of a right triangle in a beautifully simple formula that appears everywhere from architecture to video game graphics. Mastering this theorem opens doors to advanced geometry and trigonometry challenges. Try drawing triangles and measuring to see the magic for yourself! Khan Academy's Geometry Lesson
  5. Understand Ohm's Law - V = IR is your go-to formula for voltage, current, and resistance in any electrical circuit. This principle is at the heart of electronics, helping you predict how devices like LEDs and motors will behave. Tinker with simple circuits to watch Ohm's Law light up your discoveries! MIT Circuits & Electronics
  6. Explore the Engineering Design Process - Engineers tackle problems by defining goals, brainstorming, designing, building, testing, and improving - rinse and repeat! This iterative method teaches you how to turn wild ideas into working prototypes. Dive into each step to see how creativity meets practicality. NASA's Engineering Design Process
  7. Study the Basics of Computer Programming - Get comfy with algorithms, control structures, and data types to unlock the world of coding. These fundamentals sharpen your logic and help you build your own game or app from scratch. Ready to code your first "Hello, World!"? Harvard CS50 Introduction
  8. Review Statistical Significance - Statistical significance helps you decide if data patterns are real or just random noise. It's a powerful tool for interpreting experiments, polls, and surveys with confidence. Learn how p-values and confidence intervals become your best friends in data analysis! ASA on Statistical Significance
  9. Understand the Laws of Thermodynamics - These laws govern energy's grand game, from heat flow to work extraction and entropy's relentless march. They're essential for everything from steam engines to black holes! Grasp these principles to see why perpetual motion machines remain the stuff of myths. Cambridge's Thermodynamics Guide
  10. Learn about the Fibonacci Sequence - This number sequence (1, 1, 2, 3, 5, 8…) pops up in pinecones, sunflowers, and even stock markets. It's a playful puzzle that links math, nature, and art in unexpected ways. Spot Fibonacci patterns around you to keep the fun going! University of Surrey on Fibonacci
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