Arithmetic Basics Quiz

Arithmetic

Numbers and Operations

• Whole numbers: positive integers, e.g., 1, 2, 3, ...
• Fractions: part of a whole, e.g., 1/2, 3/4
• Decimals: fractional parts of a whole, e.g., 0.5, 0.25
• Percentages: fractions of 100, e.g., 25%, 50%

Basic Operations

• Addition: combining numbers, e.g., 2 + 3 = 5
• Subtraction: finding the difference, e.g., 5 - 2 = 3
• Multiplication: repeated addition, e.g., 2 × 3 = 6
• Division: sharing into equal parts, e.g., 6 ÷ 2 = 3

Properties of Operations

• Commutative Property: order of numbers doesn't change the result, e.g., 2 + 3 = 3 + 2
• Associative Property: order of operations doesn't change the result, e.g., (2 + 3) + 4 = 2 + (3 + 4)
• Distributive Property: multiplying a number by a sum is the same as multiplying by each addend, e.g., 2 × (3 + 4) = 2 × 3 + 2 × 4

Geometric Shapes

Points, Lines, and Planes

• Point: a location in space, represented by a set of coordinates (x, y, z)
• Line: a set of points extending infinitely in two directions
• Plane: a flat surface extending infinitely in all directions

Types of Angles

• Acute Angle: less than 90 degrees
• Right Angle: exactly 90 degrees
• Obtuse Angle: greater than 90 degrees
• Straight Angle: exactly 180 degrees

Properties of Shapes

• Congruent Shapes: same size and shape, e.g., two identical triangles
• Similar Shapes: same shape but different sizes, e.g., two triangles with same angles but different side lengths
• Regular Shapes: all sides and angles are equal, e.g., equilateral triangle, square

Basic Shapes

• Triangle: three sides and three angles
• Quadrilateral: four sides and four angles
• Polygon: five or more sides and angles
• Circle: a set of points equidistant from a central point (center)

Arithmetic

• Number Types: Whole numbers are positive integers (e.g., 1, 2, 3,...), Fractions are parts of a whole (e.g., 1/2, 3/4), Decimals are fractional parts of a whole (e.g., 0.5, 0.25), and Percentages are fractions of 100 (e.g., 25%, 50%).

Basic Operations

• Addition: Combining numbers to get a total or a sum (e.g., 2 + 3 = 5).
• Subtraction: Finding the difference between two numbers (e.g., 5 - 2 = 3).
• Multiplication: Repeated addition of a number (e.g., 2 × 3 = 6).
• Division: Sharing a number into equal parts (e.g., 6 ÷ 2 = 3).

Properties of Operations

• Commutative Property: The order of numbers does not change the result of an operation (e.g., 2 + 3 = 3 + 2).
• Associative Property: The order of operations does not change the result of an operation (e.g., (2 + 3) + 4 = 2 + (3 + 4)).
• Distributive Property: Multiplying a number by a sum is the same as multiplying by each addend (e.g., 2 × (3 + 4) = 2 × 3 + 2 × 4).

Geometric Shapes

Points, Lines, and Planes

• Point: A location in space, represented by a set of coordinates (x, y, z).
• Line: A set of points extending infinitely in two directions.
• Plane: A flat surface extending infinitely in all directions.

Types of Angles

• Acute Angle: Less than 90 degrees.
• Right Angle: Exactly 90 degrees.
• Obtuse Angle: Greater than 90 degrees.
• Straight Angle: Exactly 180 degrees.

Properties of Shapes

• Congruent Shapes: Same size and shape (e.g., two identical triangles).
• Similar Shapes: Same shape but different sizes (e.g., two triangles with same angles but different side lengths).
• Regular Shapes: All sides and angles are equal (e.g., equilateral triangle, square).

Basic Shapes

• Triangle: A polygon with three sides and three angles.
• Quadrilateral: A polygon with four sides and four angles.
• Polygon: A shape with five or more sides and angles.
• Circle: A set of points equidistant from a central point (center).