Cambridge Learners Book 9 Maths Quiz

Prime Numbers:
- Definition: Numbers greater than 1 that have no divisors other than 1 and themselves.
- Examples: 2, 3, 5, 7, 11, 13, ...
Factors:
- Definition: Numbers that divide another number without leaving a remainder.
- Example: Factors of 12 are 1, 2, 3, 4, 6, and 12.
Positive and Negative Numbers:
- Positive numbers: Greater than zero (e.g., 1, 2, 3).
- Negative numbers: Less than zero (e.g., -1, -2, -3).
- Zero is neither positive nor negative.

Angles:
- Types of angles: Acute (< 90°), Right (90°), Obtuse (> 90° and < 180°), Straight (180°).
- Sum of angles in a triangle: 180°.
- Complementary angles: Two angles that sum to 90°.
- Supplementary angles: Two angles that sum to 180°.

Definition: A combination of numbers, variables, and operators (e.g., 3x + 4).
Simplifying Expressions: Combine like terms to simplify (e.g., 2x + 3x = 5x).
Solving Equations: Find the value of the variable that makes the equation true.

Types of Data:
- Qualitative: Descriptive data (e.g., colors, names).
- Quantitative: Numerical data (e.g., heights, scores).
Representations:
- Bar charts, pie charts, and line graphs for visualizing data.
Measures of Central Tendency:
- Mean: Average value.
- Median: Middle value when data is ordered.
- Mode: Most frequently occurring value.

Definition: The measure of the likelihood of an event occurring.
Basic Formula: Probability (P) = Number of favorable outcomes / Total number of outcomes.
Range: Probabilities range from 0 (impossible event) to 1 (certain event).

Basic Operations: Addition, subtraction, multiplication, and division.
Order of Operations: PEMDAS/BODMAS (Parentheses/Brackets, Exponents/Orders, Multiplication and Division, Addition and Subtraction).
Estimation: Rounding numbers to make calculations simpler.

Units of Time: Seconds, minutes, hours, days, weeks, months, years.
Conversions:
- 60 seconds = 1 minute
- 60 minutes = 1 hour
- 24 hours = 1 day
Calculating Duration: Subtract start time from end time to find the duration.

These notes encapsulate the fundamental concepts covered in the Cambridge Learners Book 9 Maths, providing a concise reference for each subtopic.

Prime Numbers: Defined as integers greater than 1 with only two distinct positive divisors: 1 and the number itself; key examples include 2, 3, 5, 7, 11, 13.
Factors: Numbers that can divide another number evenly without leaving a remainder; for instance, the factors of 12 include 1, 2, 3, 4, 6, and 12.
Positive and Negative Numbers: Positive numbers are greater than zero (e.g., 1, 2, 3), while negative numbers are less than zero (e.g., -1, -2, -3). Zero is considered neutral.

Angles: Categorized into types such as:
- Acute (< 90°), Right (90°), Obtuse (> 90° but < 180°), and Straight (180°).
Sum of Angles in a Triangle: Always equals 180°.
Complementary Angles: Two angles whose measures sum to 90°.
Supplementary Angles: Two angles whose measures sum to 180°.

Definition: Comprises numbers, variables, and operators (e.g., 3x + 4).
Simplifying Expressions: Involves combining like terms; e.g., 2x + 3x simplifies to 5x.
Solving Equations: The process of determining the variable's value that satisfies the equation.

Types of Data:
- Qualitative: Information that describes characteristics (e.g., colors, names).
- Quantitative: Numerical information (e.g., heights, scores).
Representations: Data can be visualized using various graphs, including bar charts, pie charts, and line graphs.
Measures of Central Tendency:
- Mean: The average value calculated by summing data points and dividing by the count.
- Median: The middle value when data is arranged in order.
- Mode: The value that appears most frequently in a data set.

Definition: A metric that quantifies the likelihood of a particular event occurring.
Basic Formula: Calculated as Probability (P) = Number of favorable outcomes / Total number of outcomes.
Range: Probabilities range from 0 (indicating impossibility) to 1 (indicating certainty).

Basic Operations: Includes addition, subtraction, multiplication, and division.
Order of Operations: Remember the acronym PEMDAS/BODMAS: Parentheses/Brackets, Exponents/Orders, Multiplication and Division, Addition and Subtraction.
Estimation: The technique of rounding numbers to simplify the arithmetic process.

Units of Time: Includes various increments such as seconds, minutes, hours, days, weeks, months, and years.
Conversions:
- 60 seconds equals 1 minute.
- 60 minutes equals 1 hour.
- 24 hours equals 1 day.
Calculating Duration: To find the total duration, subtract the start time from the end time.