Evaluate means to find the value of a numerical or an algebraic expression.

Powers and roots using a calculator

Maths

Checking understanding of factors, multiples, squares and cubes

Securing understanding of factors, multiples, squares and cubes

Listing multiples

Divisibility tests for 2 and 3

Divisibility tests for 6 and 9

Divisibility tests for 5 and 10

Divisibility tests for 4 and 8

Square and cube numbers

Square and cube roots

Power notation

Listing factors

Checking understanding of prime numbers

Expressing an integer as a product of its prime factors

Calculating integers from their prime factor expressions

Highest common factor

Lowest common multiple

HCF or LCM

Problem solving with factors, multiples, squares and cubes

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

In this unit pupils develop their understanding of factors and multiples, then extend this knowledge to learn general divisibility tests for integers and develop strategies to determine the highest common factor and lowest common multiple of two or more integers.

Properties of number: factors, multiples, squares and cubes

__________ means to find the value of a numerical or an algebraic expression.

Use a calculator to evaluate $$39.5^4$$. Write all the digits from your calculator display. 

Use a calculator to evaluate $$3.4^3 - 2.1^4$$.  Write all the digits from your calculator display. 

Use a calculator to evaluate $$\sqrt{76.7376} - 2.3^2$$.  Write all the digits from your calculator display.

Use a calculator to evaluate  $$3.4\times10^3+\sqrt{4738}-6.3^3-9.1^2$$. Write all the digits from your calculator display. 

Here is $$6^9$$. What does the number 9 represent?

$$1^{100}$$ is 100 as it means $$1\times100$$ so Alex is correct

$$1^{100}$$ is 100 as it means 100 ones added together so Alex is correct

$$1^{100}$$ is 1 because 1 times by itself 100 times is 1 so Alex is incorrect

$$1^{100}$$ is 100 because 1 times by itself 100 times is 100 so Alex is correct

Alex says, "$$1^{100}$$ is 100 as there is only one 100". Select the statement which explains if Alex is correct or not.

Starting with the smallest, put these numbers in ascending order of size.

The square root of the square root of 81 is {{ }}

Starter Quiz

Here is $$6^9$$. What does the number 9 represent?