Year Nine End of Year Revision

Mathematics practice flashcards for the Year Nine end of year revision, covering probability, algebra, data types, geometry, and trigonometry.

What is probability?

Probability is the measure of the likelihood that an event will occur.

What is a variable in an expression?

A variable is a letter that represents a number in an algebraic expression.

What does the coefficient in an expression indicate?

The coefficient indicates the number that multiplies a variable.

What is a constant in mathematics?

A constant is a fixed numerical value that does not change in an expression.

How is the gradient represented in an equation?

The gradient is represented by $m$ in the equation $y = mx + c$.

What information does the Y intercept provide in an equation?

The Y intercept, represented by $c$, indicates the value of $y$ when $x$ is 0.

Define qualitative data.

Qualitative data is data recorded as words or categories.

Define quantitative data.

Quantitative data is data recorded as numbers.

What is discrete data?

Discrete data consists of whole numbers.

What is continuous data?

Continuous data can take any value within a range, such as height.

What is primary data?

Primary data is data that is collected directly by the researcher.

What is secondary data?

Secondary data is data that has been collected by others.

What is a sample in statistics?

A sample is a subset of the population.

What distinguishes quadratic graphs?

Quadratic graphs are U-shaped and have the form $y = ax^2 + bx + c$.

Explain intersection in set notation.

The intersection is the overlapping part of sets, denoted as $\cap$.

What is the union of sets?

The union is everything in the sets, denoted as $\cup$.

What is the standard form of a number?

Standard form formats numbers as $A \times 10^n$, where $1 \le A < 10$.

What is the Pythagorean theorem?

The Pythagorean theorem states that for right-angled triangles, $a^2 + b^2 = c^2$.

What is the hypotenuse?

The hypotenuse is the longest side of a right-angled triangle.

Define congruent triangles.

Congruent triangles have the same size and shape.

What do SSS, SAS, ASA, and RHS stand for?

They are conditions for triangle congruence: Side Side Side, Side Angle Side, Angle Side Angle, and Right angle Hypotenuse Side.

What is SOH CAH TOA?

SOH CAH TOA helps remember trigonometric ratios: $\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}$, $\cos(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}}$, and $\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}$.

What does rearranging a formula involve?

Rearranging a formula involves making one variable the subject of an equation.