A perfect square is the same as a square number.

A perfect cube is the same as a cube number.

A square number is the product of two repeated integers.

A cube number is the product of three repeated integers.

Square and cube roots

Maths

This unit on factors, multiples, squares and cubes helps pupils build on their understanding that any positive integer can be expressed as a product of its factors. This skill is used in the next unit to explore multiplying and dividing with decimals.

In this unit, pupils learnt how to identify common factors and common multiples. in this unit, pupils build on this understanding to find the LCM and HCF

Properties of number: factors, multiples, squares and cubes

An array is a perfect square and has 256 dots. What is the row and column length of the array?

Match each calculation to its correct answer.

Find the closest integer to $$\sqrt{40}$$

Find the closest integer to $$\sqrt[3]{1600}$$

Which of the following are square numbers?

Match the descriptions to the correct list of numbers.

Which of the following is a perfect square?

Work out the sum of the square of 4 and the cube of 4

Jun says, "There are only 2 square numbers which are also cube numbers: 1 & 64."

Aisha says, "There are no square numbers which are also cube numbers."

Jacob says, "Every number is a square number and cube number."

Sam says, "There's an infinite number of square numbers that are cube numbers."

Some students are talking about square numbers. Who is correct?

Starter Quiz