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Take the Basic Math and Science Knowledge Quiz

Sharpen skills with fun science and math challenges

Difficulty: Moderate
Questions: 20
Learning OutcomesStudy Material
Colorful paper art illustrating a basic math and science knowledge quiz

Ready to test your understanding with an engaging Basic Math and Science Knowledge Quiz? Students and educators alike will find this quiz perfect for reinforcing arithmetic, algebra, and science fundamentals. For more practice, explore the Basic Chemistry and Math Assessment Quiz or dive into our General Science Knowledge Quiz. All quizzes can be freely modified in our quizzes editor to match any learning objective.

Solve for x: 2x + 3 = 7.
2
4
3
1
Subtracting 3 from both sides gives 2x = 4, and dividing by 2 yields x = 2. This isolates x correctly.
What is the total cost if you buy 3 apples at $2 each?
$7
$6
$8
$5
Multiplying 3 apples by $2 per apple gives $6. This applies simple multiplication to a real-world scenario.
What is the chemical symbol for hydrogen?
O
H
He
C
Hydrogen is represented by the symbol H on the periodic table. Other options are symbols for helium, oxygen, and carbon.
What is the SI unit of force?
Joule
Newton
Watt
Pascal
The SI unit of force is the newton (N), defined as kg·m/s². Joule measures energy, watt measures power, and pascal measures pressure.
How many centimeters are in 1 meter?
100
1000
10
0.01
There are 100 centimeters in a meter by definition of the metric system. This uses a basic unit conversion.
Solve for x: 3x/4 = 6.
8
12
6
9
Multiply both sides by 4 to get 3x = 24, then divide by 3 to find x = 8. This follows basic algebraic steps.
A car travels at 60 km/h for 2.5 hours. What distance does it cover?
120 km
180 km
150 km
100 km
Distance = speed - time, so 60 km/h - 2.5 h = 150 km. This applies arithmetic operations to a real-world problem.
Which cell organelle is responsible for producing energy in the form of ATP?
Ribosome
Mitochondria
Nucleus
Chloroplast
Mitochondria generate ATP through cellular respiration. Nucleus contains DNA, ribosomes make proteins, and chloroplasts are in plant cells for photosynthesis.
According to Newton's second law, what is the force on a 2 kg mass with an acceleration of 5 m/s^2?
5 N
7 N
10 N
2 N
Newton's second law states F = m·a, so F = 2 kg - 5 m/s² = 10 N. This demonstrates a basic physics principle.
What is the mean of the data set {5, 10, 15, 20}?
10
15
16.25
12.5
The mean is the sum of the values divided by the number of values: (5 + 10 + 15 + 20)/4 = 50/4 = 12.5.
In a scatter plot, if the points show an upward trend from left to right, this indicates what type of correlation?
Causal
No correlation
Positive
Negative
An upward trend indicates a positive correlation, meaning as one variable increases, the other tends to increase. Negative correlation would slope downward, and causal is not determined solely by a scatter plot.
How many liters are equivalent to 5000 milliliters?
5
50
500
0.5
There are 1000 milliliters in a liter, so 5000 mL = 5000/1000 = 5 L. This checks basic unit conversion skills.
Simplify the expression 2(a + 3) - 4a.
2a + 6
-2a + 6
6a - 4a
-2a - 6
Distribute: 2a + 6, then subtract 4a to get 2a + 6 - 4a = -2a + 6. This step-by-step simplification isolates the like terms.
A recipe calls for 3/4 cup of sugar. If you double the recipe, how much sugar do you need?
1 cup
1 1/2 cups
1 1/4 cups
3/4 cup
Doubling 3/4 cup yields 3/4 - 2 = 1.5 cups, or 1 1/2 cups. This applies fractional arithmetic to a cooking scenario.
What is the pH value of a neutral aqueous solution at 25°C?
0
10
14
7
A neutral solution at 25°C has pH 7, which is the midpoint of the pH scale. Values below 7 are acidic, and above 7 are basic.
Solve for x: 2(x - 3) + 4 = 10.
7
6
3
5
First expand: 2x - 6 + 4 = 10, then 2x - 2 = 10, so 2x = 12 and x = 6. This requires multi-step algebraic manipulation.
You have 200 ml of a 10% acid solution. How many milliliters of water must you add to obtain an 8% solution?
100 ml
25 ml
75 ml
50 ml
Let v be added volume: 200 - 0.10/(200+v)=0.08 '20/(200+v)=0.08 '200+v=250 'v=50 ml. This uses concentration mixing algebra.
A projectile is launched straight up with an initial speed of 20 m/s. Ignoring air resistance, approximately how high will it travel?
10 m
40 m
30 m
20 m
Use v²=2gh: h = v²/(2g) = 400/(2 - 9.8) ≈400/19.6 ≈20.4 m. This applies basic kinematics to compute maximum height.
A line graph shows production increasing from 100 units in January to 200 units in May. What is the average monthly increase?
25 units/month
50 units/month
100 units/month
20 units/month
From January to May is 4 intervals; (200 - 100)/4 = 25 units per month. This interprets rate of change from graphical data.
Convert a speed of 72 kilometers per hour to meters per second.
20 m/s
10 m/s
25 m/s
15 m/s
Multiply by 1000/3600: 72 - 1000/3600 = 72/3.6 = 20 m/s. This applies unit conversion between km/h and m/s.
0
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Learning Outcomes

  1. Analyse algebraic expressions and solve for variables.
  2. Apply arithmetic operations to real-world problems.
  3. Identify fundamental scientific concepts and terminology.
  4. Demonstrate understanding of basic physics principles.
  5. Evaluate simple data sets and interpret graphical information.
  6. Master measurement units and perform accurate conversions.

Cheat Sheet

  1. Decode Algebraic Ingredients - Algebraic expressions are like tasty recipes combining variables, coefficients, and operators. In 3x + 5, think of 3 as the spice (coefficient), x as the secret ingredient (variable), and + as the chef's action (operator). Master these basics to cook up perfect solutions every time! Reading Algebraic Expressions
  2. Translate Real-World Scenarios - Turn everyday stories into algebraic expressions by assigning variables and operations. For example, "double a number then add five" becomes 2x + 5, unlocking the math behind the text. This skill makes word problems feel like puzzles you're born to solve! Applications of Algebraic Expressions
  3. Master Order of Operations - PEMDAS is your secret weapon for evaluating complex expressions: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction. Following this sequence ensures you never mix up the steps and always get the right answer. Think of each letter as a checkpoint on your algebra adventure! PEMDAS: Order of Operations
  4. Build Scientific Foundations - Physics and chemistry rely on core concepts like Newton's laws of motion, atomic structure, and energy conservation. Grasping these ideas gives you a superpowered toolkit for tackling science challenges. Soon you'll be explaining why apples fall and atoms stick together like a pro! Algebraic Expression
  5. Interpret Graphs, Tables & Charts - Data comes alive when you learn to read visual representations: line graphs, bar charts, and tables. This skill helps you spot trends, compare values, and draw meaningful conclusions in experiments and surveys. It's like having X-ray vision for numbers! Algebraic Expressions and Word Problems
  6. Conquer Measurement Conversions - Switching between units - kilometers to miles or Celsius to Fahrenheit - becomes second nature with the right formulas. Accurate conversions are essential for lab reports, engineering feats, and everyday tasks like cooking. Practice makes perfect, so grab your conversion chart and level up! Variables and Algebraic Expressions
  7. Apply Exponent Rules - Exponents let you express repeated multiplication in a snap: x² × x³ = x❵, for instance. Learning these rules not only speeds up simplification but also opens doors to advanced topics like scientific notation. Soon you'll blast through powers and roots like a math wizard! Reading Algebraic Expressions
  8. Solve Linear Equations & Inequalities - Isolating x in equations such as 2x - 3 = 7 is your ticket to understanding relationships between quantities. Tackling inequalities (like 3x + 1 > 10) adds a fun twist by introducing "greater than" and "less than." With practice, you'll solve them in your sleep! Variables and Algebraic Expressions
  9. Expand with the Distributive Property - The distributive property lets you turn 3(x + 4) into 3x + 12 in a flash. This tool is key for simplifying expressions and solving equations that look intimidating at first. Use it to break down big problems into bite-sized pieces! Expressions, Variables, and Properties
  10. Unlock Function Patterns - Functions link inputs to outputs, like machines transforming raw numbers into results. Spotting patterns helps you predict outcomes and understand real-world processes, from projectile motion to population growth. Identify the rule, feed in a value, and watch the magic happen! Algebraic Expressions: What Are They? What Are They Used For?
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