8th Math Summer Enrichment 2025

Front

What is the formula for the volume of a cylinder?

Back

The volume of a cylinder is given by the formula V = πr²h, where r is the radius and h is the height.

Front

What is the formula for the volume of a cone?

Back

The volume of a cone is given by the formula V = (1/3)πr²h, where r is the radius and h is the height.

Front

How do you compare the volumes of a cone and a cylinder with the same base and height?

Back

The volume of the cylinder is three times greater than the volume of the cone.

Front

What does the rate of change represent in a graph?

Back

The rate of change represents how much one quantity changes in relation to another quantity, often expressed as a slope.

Front

What is a function in mathematics?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function; if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the definition of distance in geometry?

Back

Distance is the total length of the path traveled between two points.

Front

How do you calculate the total distance traveled in a multi-segment journey?

Back

Add the lengths of each segment of the journey to find the total distance.

Front

What is the difference between distance and displacement?

Back

Distance is the total path length traveled, while displacement is the shortest straight-line distance from the starting point to the endpoint.

Front

What is a mapping in mathematics?

Back

A mapping is a relation that pairs each element from one set with an element from another set.