Parkes-Winter Benchmark Review 2024

Front

What is relative frequency?

Back

Relative frequency is the ratio of the number of times an event occurs to the total number of trials or observations. It is often expressed as a percentage.

Front

What defines a linear function?

Back

A linear function is a function that can be graphically represented as a straight line. It has the form y = mx + b, where m is the slope and b is the y-intercept.

Front

How can you determine if a set of data represents a function?

Back

A set of data represents a function if each input (x-value) is associated with exactly one output (y-value). This can be checked using the vertical line test on a graph.

Front

What is the formula for calculating the slope of a line?

Back

The slope (m) of a line is calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What does the slope of a line indicate?

Back

The slope of a line indicates the steepness and direction of the line. A positive slope means the line rises, while a negative slope means it falls.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis. It is represented by the value of b in the linear equation y = mx + b.

Front

How do you convert a fraction to a percentage?

Back

To convert a fraction to a percentage, divide the numerator by the denominator and then multiply by 100.

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as an equation, a graph, or a table.

Front

What is the significance of the point (0,2) in a linear equation?

Back

The point (0,2) represents the y-intercept of the line, indicating that when x = 0, y = 2.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as the input values increase, the output values also increase. This is indicated by a positive slope.