Basic Arithmetic and Number Systems Quiz

Basic Arithmetic Operations

• Addition: Combining two or more numbers to find a total. Example: 2 + 3 = 5
• Subtraction: Finding the difference between two numbers. Example: 5 - 2 = 3
• Multiplication: Repeated addition of the same number. Example: 2 x 3 = 6 (which is 2 + 2 + 2)
• Division: Splitting a number into equal parts. Example: 6 ÷ 3 = 2 (dividing 6 into 3 equal parts)
• Order of operations (PEMDAS/BODMAS): A set of rules for evaluating expressions with multiple operations. Parentheses/Brackets first, Exponents/Orders, Multiplication and Division (left to right), and finally Addition and Subtraction (left to right).

Number Systems

• Natural Numbers: Counting numbers (1, 2, 3, ...).
• Whole Numbers: Natural numbers plus zero (0, 1, 2, 3, ...).
• Integers: Whole numbers and their negative counterparts (...-3, -2, -1, 0, 1, 2, 3...).
• Rational Numbers: Numbers that can be expressed as a fraction p/q, where p and q are integers and q is not zero.
• Irrational Numbers: Numbers that cannot be expressed as a fraction. Example: π (pi), √2.
• Real Numbers: The set of all rational and irrational numbers.
• Complex Numbers: Numbers that include the imaginary unit 'i', where i² = -1. Expressed in the a + bi form.

Algebra

• Variables: Symbols (like x or y) that represent unknown values.
• Equations: Statements that show the equality of two expressions. Example: x + 2 = 5.
• Inequalities: Statements that show the relationship between two expressions using symbols like <, >, ≤, ≥. Example: x > 3.
• Polynomials: Expressions containing variables and coefficients. Example: 2x² + 3x - 1.
• Linear Equations: Equations that form a straight line on a graph. Example: y = mx + b (slope-intercept form).
• Systems of Equations: A set of two or more equations that can be solved simultaneously.

Geometry

• Points, Lines, and Planes: Basic geometric elements.
• Angles: Formed by two rays sharing a common endpoint.
• Polygons: Figures with straight sides. Examples: triangles, squares, pentagons.
• Triangles: Three-sided polygons. Types include equilateral, isosceles, scalene, right.
• Circles: A set of points equidistant from a central point.
• Area and Perimeter: Measurements of enclosed space and the boundary of a shape.
• Volume: Measurement of the space occupied by a three-dimensional object.

Measurement

• Units of Measurement: Standard units for length (e.g., meters, feet), area (e.g., square meters, square feet), volume (e.g., cubic meters, cubic feet), and weight (e.g., grams, pounds).
• Conversions: Converting between different units.

Data Analysis and Probability

• Data Sets: Collections of numerical information.
• Mean, Median, and Mode: Measures of central tendency of a data set.
• Statistics: The science of collecting, organizing, analyzing, and interpreting data.
• Probability: The likelihood of an event occurring.
• Sample spaces and events