MATHS - Numbers - Square, Cube & Triangular Numbers

This video tutorial explores square, cube, and triangular numbers, explaining their definitions, examples, and applications. Square numbers are integers multiplied by themselves, forming perfect squares, useful in quadratics and area calculations. Cube numbers are integers multiplied by themselves three times, forming cubes, often used in volume calculations. Triangular numbers form equilateral triangles, with a sequence defined by a quadratic formula. The video also highlights the interrelation between these number types, showing how they can be visualized and connected through patterns.

What is a square number?

• A number multiplied by itself three times

• A number that can be arranged in a triangle

• A number multiplied by itself

• A number that is a prime

Which of the following is a cube number?

• 25

• 9

• 27

• 16

How is a triangular number visually represented?

• As a filled square

• As a filled cube

• As a straight line

• As an equilateral triangle

What is the formula for the n-th term of a triangular number?

• n plus 2

• n times (n + 1) divided by 2

• n cubed

• n squared

What pattern do square and triangular numbers form together?

• They form a sequence of even numbers

• They form a sequence of odd numbers

• They form a sequence of prime numbers

• They form a pattern of alternating colors