Square and Cube Numbers

This page focuses on square numbers, which are the result of multiplying a whole number by itself. It provides a list of square numbers from 1² to 13².

Definition: A square number is the product of a whole number multiplied by itself.

The page presents a table of square numbers:

1² = 1 2² = 4 3² = 9 4² = 16 5² = 25 6² = 36 7² = 49 8² = 64 9² = 81 10² = 100 11² = 121 12² = 144 13² = 169

Highlight: Memorizing common square numbers can be helpful for mental math and problem-solving in various mathematical contexts.

This information is particularly useful for students preparing for Maths revision notes for BODMAS and prime numbers KS2 exams and looking for How to find square and cube numbers in maths worksheets.

Cube Numbers

This page extends the concept of square numbers to cube numbers, which are the result of multiplying a whole number by itself twice.

Definition: A cube number is the product of a whole number multiplied by itself three times.

The page provides a list of cube numbers from 1³ to 10³:

1³ = 1 2³ = 8 3³ = 27 4³ = 64 5³ = 125 10³ = 1000

Example: 10³ = 10 x 10 x 10 = 1000

Understanding cube numbers is essential for various mathematical applications and is often included in How to find square and cube numbers in maths KS2 curricula.

Highlight: Recognizing patterns in cube numbers can help students quickly identify and calculate them mentally.

Negative Numbers

This page introduces the concept of negative numbers and provides rules for combining signs in mathematical operations.

Definition: Negative numbers are numbers less than zero and are represented with a minus sign $-$ in front of them.

The page outlines the following rules for combining signs:

• makes +
• makes -
• makes -
• makes +

Example: -2 x 3 = -6 $negative multiplied by positive equals negative$

The page also provides an example of division with negative numbers:

Example: -8 ÷ -2 = 4 $negative divided by negative equals positive$

Understanding these rules is crucial for solving equations involving negative numbers and is often tested in BIDMAS worksheet with answers PDF resources.

Prime Numbers

This page introduces the concept of prime numbers and provides a list of the first few prime numbers.

Definition: Prime numbers are numbers that have exactly two factors: 1 and themselves.

The page lists the following prime numbers:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37

Example: To show that 24 isn't a prime number, find factors other than 1 and 24. For instance, 2 x 12 = 24.

This information is essential for students studying Prime number questions and answers and Prime factors GCSE questions and answers.

Important Facts About Prime Numbers

This page presents five crucial facts about prime numbers that students should remember.

1. 1 is not a prime number.
2. 2 is the only even prime number.
3. The first four prime numbers are 2, 3, 5, and 7.
4. Prime numbers $except 2 and 5$ end in 1, 3, 7, or 9.
5. Not all numbers ending in 1, 3, 7, or 9 are prime $e.g., 21, 27, 33, 49, 51, 57, 63 are not prime$.

Highlight: Understanding these facts can help students quickly identify prime numbers and solve problems related to them.

This information is particularly useful for students preparing for Prime number questions and answers in exams and quizzes.

Multiples, Factors, and Prime Factors

This page introduces the concepts of multiples and factors, which are fundamental to understanding number relationships.

Definition: Multiples of a number are the products of that number and whole numbers.

Example: The first 8 multiples of 13 are 13, 26, 39, 52, 65, 78, 91, 104.

Understanding multiples is crucial for solving problems related to LCM and HCF worksheet with answers PDF.

Factors

This page explains the concept of factors and provides a method for finding all factors of a number.

Definition: Factors of a number are all the numbers that divide into it without a remainder.

The page outlines a systematic method for finding factors:

1. Start with 1 x the number itself.
2. Try dividing by 2, 3, and so on, listing the results in rows.
3. Cross out rows if they don't divide exactly.
4. Stop when you get a repeated number.
5. The numbers in the rows you haven't crossed out are the factors.

This method is particularly useful for solving HCF and LCM examples and HCF and LCM GCSE questions and answers.

Finding Factors Example

This page provides a detailed example of how to find all factors of 24 using the method described on the previous page.

Example: Find all factors of 24

1 x 24 2 x 12 3 x 8 4 x 6

Therefore, the factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.

This example demonstrates the practical application of the factor-finding method and is useful for students working on HCF and LCM worksheet problems.

Prime Factors

This page introduces the concept of prime factors and demonstrates how to express a number as a product of its prime factors using a factor tree.

Definition: Prime factors are the prime numbers that, when multiplied together, produce the original number.

Example: Express 420 as a product of prime factors.

The page shows a factor tree for 420:

420 = 2 x 210 210 = 2 x 105 105 = 3 x 35 35 = 5 x 7

Therefore, 420 = 2 x 2 x 3 x 5 x 7

Understanding prime factors is essential for solving Prime factors GCSE questions and answers and is often included in Maths revision notes for BODMAS and prime numbers PDF free resources.

LCM and HCF

This page introduces the concepts of Lowest Common Multiple $LCM$ and Highest Common Factor $HCF$.

Definition: LCM $Lowest Common Multiple$ is the smallest number that will divide by all the given numbers.

The page outlines a method for finding the LCM:

1. List the multiples of all the numbers.
2. Find the smallest number that appears in all the lists.

This method is particularly useful for solving problems in LCM and HCF worksheet with answers PDF and HCF and LCM examples.