common multiples problem solving year 5

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GCF and LCM word problems

Factors and multiples.

These word problems need the use of greatest common factors (GCFs) or least common multiples (LCMs) to solve. Mixing GCF and LCM word problems encourages students to read and think about the questions, rather than simply recognizing a pattern to the solutions.

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Common Multiples - Year 5

Year 5 maths programme of study - Number (multiplication and division):

• identify multiples and factors, including finding all factor pairs of a number
• solve problems involving multiplication and division using their knowledge of factors and multiples

In this maths teaching resource, pupils build on their knowledge of multiples by beginning to look at common multiples of any pairs of numbers. It can be used in a lesson covering the curriculum objectives listed above and supports the White Rose small steps guidance for year 5 - Autumn - Block 3 - Multiplication and division A. Content includes:

Content includes:

• An animated PowerPoint presentation
• Activities to support the teaching of this objective with one accompanying worksheets
• 2 further varied fluency and reasoning and problem solving worksheets with answers

'Common Multiples - Year 5' is completely editable giving teachers the freedom to adapt the resource to suit their individual teaching needs.

'Common Multiples - Year 5' can be previewed in full by clicking on the images opposite.

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White Rose Maths - Year 5 - Block 4 - Multiples (Problem Solving and Reasoning)

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

Last updated

13 November 2018

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A set of reasoning and problem solving worksheets to use alongside the White Rose Maths scheme. The questions have been differentiated 3 ways, each with an individual sheet of questions for that level. Answers are also included.

This set of worksheets is for Year 5, Autumn Block 4 (Multiplication and Division), focusing on the first small step of multiples. Details of how it has been differentiated can be found below: • 1 Star sheet (Working Towards Expected Level): Be able to calculate and identify multiples of 2, 5 and 10. • 2 Star sheet (Expected Level): Be able to calculate and identify multiples of whole numbers up to x12 of each number. • 3 Star sheet (Working at greater depth): Be able to calculate and identify multiples of whole numbers up to and beyond x12 of each number.

Each worksheet contains a total of 8 questions. These questions could be used as a whole, or cut up into strips of 4 questions for a shorter task. They could also be used for partner work, depending on the ability of the children.

If you have any questions, please feel free to ask. Likewise, I am still developing these resources, so any helpful comments would also be appreciated.

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White Rose Maths - Year 5 - Block 4 - Multiplication and Division (Problem Solving and Reasoning Practice)

A set of reasoning and problem solving worksheets to use alongside the White Rose Maths scheme. The questions have been differentiated 3 ways, each with an individual sheet of questions for that level. Answers are also included. These sets of worksheets are for Year 5, Autumn Block 4 (Multiplication and Division), focusing on the first to eighth small steps. Details of how they have been differentiated can be found below: Multiples: • 1 Star sheet (Working Towards Expected Level): Be able to find and identify multiples of 2, 5 and 10. • 2 Star sheet (Expected Level): Be able to find and identify multiples of whole numbers up to x12 of each number. • 3 Star sheet (Working at greater depth): Be able to identify multiples of whole numbers up to and beyond x12 of each number. Common multiples are also covered more in depth. Factors: • 1 Star sheet (Working Towards Expected Level): Be able to find factors of numbers up to 30. • 2 Star sheet (Expected Level): Be able to find factors of numbers up to 100. • 3 Star sheet (Working at greater depth): Be able to find factors of numbers from 50-100 and beyond. Prime Numbers: • 1 Star sheet (Working Towards Expected Level): Be able to identify prime numbers up to 20 and find prime factors of numbers up to 30. • 2 Star sheet (Expected Level): Be able to identify prime numbers up to 100 and find prime factors of numbers up to 30. • 3 Star sheet (Working at greater depth): Be able to identify prime numbers up to 200 and find prime factors of numbers above 100. Square and Cube Numbers: • 1 Star sheet (Working Towards Expected Level): Be able to calculate square and cube numbers up to 10x10 and 5x5x5 • 2 Star sheet (Expected Level): Be able to calculate square and cube numbers up to 12x12 and 12x12x12 • 3 Star sheet (Working at greater depth): Be able to calculate square and cube numbers up to and beyond 12x12 and 12x12x12 Multiplying and Dividing by 10, 100 and 1000: • 1 Star sheet (Working Towards Expected Level): Be able to multiply and divide whole numbers by 10 and 100. • 2 Star sheet (Expected Level): Be able to multiply and divide whole and decimal numbers by 10, 100 and 1000. • 3 Star sheet (Working at greater depth): Be able to multiply and divide whole and decimal numbers by 10, 100, 1000 and 10,000. Each worksheet contains a total of 8 questions. These questions could be used as a whole, or cut up into strips of 4 questions for a shorter task. They could also be used for partner work, depending on the ability of the children. If you have any questions, please feel free to ask. Likewise, I am still developing these resources, so any helpful comments would also be appreciated.

White Rose Maths - Year 5 - Block 4 - Multiplication and Division (Varied Fluency and Problem Solving and Reasoning Practice)

A block set of varied fluency and a block set of problem solving and reasoning worksheets to use alongside the White Rose Maths scheme. Both sets of questions have been differentiated 3 ways, each with an individual sheet of questions for that level. Answers are also included. These sets of worksheets are for Year 5, Autumn Block 4 (Multiplication and Division), focusing on the first to eighth small steps. Details of how they have been differentiated can be found below: Multiples: • 1 Star sheet (Working Towards Expected Level): Be able to find and identify multiples of 2, 5 and 10. • 2 Star sheet (Expected Level): Be able to find and identify multiples of whole numbers up to x12 of each number. • 3 Star sheet (Working at greater depth): Be able to identify multiples of whole numbers up to and beyond x12 of each number. Common multiples are also covered more in depth. Factors: • 1 Star sheet (Working Towards Expected Level): Be able to find factors of numbers up to 30. • 2 Star sheet (Expected Level): Be able to find factors of numbers up to 100. • 3 Star sheet (Working at greater depth): Be able to find factors of numbers from 50-100 and beyond. Prime Numbers: • 1 Star sheet (Working Towards Expected Level): Be able to identify prime numbers up to 20 and find prime factors of numbers up to 30. • 2 Star sheet (Expected Level): Be able to identify prime numbers up to 100 and find prime factors of numbers up to 30. • 3 Star sheet (Working at greater depth): Be able to identify prime numbers up to 200 and find prime factors of numbers above 100. Square and Cube Numbers: • 1 Star sheet (Working Towards Expected Level): Be able to calculate square and cube numbers up to 10x10 and 5x5x5 • 2 Star sheet (Expected Level): Be able to calculate square and cube numbers up to 12x12 and 12x12x12 • 3 Star sheet (Working at greater depth): Be able to calculate square and cube numbers up to and beyond 12x12 and 12x12x12 Multiplying and Dividing by 10, 100 and 1000 (Separated into a set of multiplying and a set of dividing for the Varied Fluency): • 1 Star sheet (Working Towards Expected Level): Be able to multiply and divide whole numbers by 10 and 100. • 2 Star sheet (Expected Level): Be able to multiply and divide whole and decimal numbers by 10, 100 and 1000. • 3 Star sheet (Working at greater depth): Be able to multiply and divide whole and decimal numbers by 10, 100, 1000 and 10,000. The varied fluency worksheets contain a total of 8 questions, some broken down into parts (a, b, c etc.) with 2 examples of each question type. This provides children with the varied fluency that White Rose aim for. These questions can be used as a quick starter and cut up so that only the first 4 questions are used, or given as more of a main activity with all 8 questions. They could also be used for partner work, depending on the ability of the children. The problem solving and reasoning worksheets contain a total of 8 questions. These questions could be used as a whole, or cut up into strips of 4 questions for a shorter task. They could also be used for partner work, depending on the ability of the children. If you have any questions, please feel free to ask. Likewise, I am still developing these resources, so any helpful comments would also be appreciated.

White Rose Maths - Year 5 - Block 4 - Multiples (Varied Fluency and Problem Solving Practice)

A set of varied fluency and a set of problem solving and reasoning worksheets to use alongside the White Rose Maths scheme. Both sets of questions have been differentiated 3 ways, each with an individual sheet of questions for that level. Answers are also included. This set of worksheets is for Year 5, Autumn Block 4 (Multiplication and Division), focusing on the first small step of multiples. Details of how they have been differentiated can be found below: • 1 Star sheet (Working Towards Expected Level): Be able to find and identify multiples of 2, 5 and 10. • 2 Star sheet (Expected Level): Be able to find and identify multiples of whole numbers up to x12 of each number. • 3 Star sheet (Working at greater depth): Be able to identify multiples of whole numbers up to and beyond x12 of each number. Common multiples are also covered more in depth. The varied fluency worksheets contain a total of 8 questions, some broken down into parts (a, b, c etc.) with 2 examples of each question type. This provides children with the varied fluency that White Rose aim for. These questions can be used as a quick starter and cut up so that only the first 4 questions are used, or given as more of a main activity with all 8 questions. They could also be used for partner work, depending on the ability of the children. The problem solving and reasoning worksheets contain a total of 8 questions. These questions could be used as a whole, or cut up into strips of 4 questions for a shorter task. They could also be used for partner work, depending on the ability of the children. If you have any questions, please feel free to ask. Likewise, I am still developing these resources, so any helpful comments would also be appreciated.

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Identifying Common Multiples of Numbers (Year 5)

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This resource is suitable for the White Rose Maths Scheme of Learning, covering Autumn Term Block 4 (Multiplication and Division A), Step 2 (Common Multiples).

This worksheet is a great way to practise identifying multiples of numbers. Children are asked to match the numbers with their multiples and complete the sequences for various multiples up to 12. They can then try solving a word problem, as well as filling in the Venn diagram and the table.

The answers for each question are included, so children can check their own work.

This worksheet is available in different levels. Please see the drop-down menu to select another level.

This resource is also available in a handy Lesson Pack, containing a selection of brilliant worksheets for this small step.

View Lesson Pack    See all Year 5 White Rose

• Key Stage: Key Stage 2
• Subject: Maths
• Topic: White Rose Maths | Autumn Term: Multiplication and Division A | Small Step 2
• Topic Group: Calculations
• Year(s): Year 5
• Media Type: PDF
• Resource Type: Worksheet
• Last Updated: 20/06/2024
• Resource Code: M2WAT17182
• Curriculum Point(s): Identify multiples and factors, including finding all factor pairs of a number, and common factors of two numbers. Solve problems involving multiplication and division including using their knowledge of factors and multiples, squares and cubes.

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