Mr. Mathematics

Problem Solving with Place Value

February 3, 2021.

Understanding place value provides the essential foundation for so many aspects of mathematics, from multiplying and dividing by powers of ten, understanding the equivalence between fractions, decimals and percentages, and learning how to write and calculate with numbers in standard form.

The videos below show how I use the place value table to teach these topics conceptually.

Writing numbers as words

Multiplying by 10, 100 and 1000

Converting between fractions, decimals and percentages

I designed this problem-solving lesson to deepen students’ understanding of place value to connect it to other aspects of mathematics, including listing permutations, odd and even numbers and money. By linking to these topics, the questions are challenging yet remain accessible to students in key stage 3 and those studying the foundation GCSE course.

The lesson consists of six problem-solving questions, all centred around place value. Here is a sample of three of the questions.

Here is a sample of three of the questions.

Linking place value to arithmetic

Problem Solving with Place Value

In this question, students link their understanding of place value to writing numbers in figures from words. Next, they use column subtraction to find the difference between two numbers.

Linking place value to permutations

Problem Solving with Place Value

In this question, students arrange the four single-digit cards to make the numbers between 230 and 430.

Students link their understanding of place value to listing permutations.

Linking place value to odd and even numbers

Problem Solving with Place Value

To work out the smallest, even number, students need to find two three-digit numbers with the least difference.

To calculate the biggest, odd number, they need to find two numbers with the greatest difference.

Both questions can be completed through a method of trial and improvement. More able students would use:

  • odd + odd = even
  • odd + even =odd
  • even + odd = odd
  • even + even = even.

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About Mr Mathematics

place value problem solving cards

My name is Jonathan Robinson and I am passionate about teaching mathematics. I am currently Head of Maths in the South East of England and have been teaching for over 15 years. I am proud to have helped teachers all over the world to continue to engage and inspire their students with my lessons.

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Place Value Workbook for Grade 1

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Place Value Worksheets

And base 10 blocks.

Our place value worksheets focus on deepening a student's understanding of our base 10 system. In our " base 10 blocks " worksheets, students manipulate blocks (units of 1) and rods (groups of 10) to build, deconstruct or add numbers. Later worksheets focus on building or de-constructing multi-digit numbers.

Choose your grade / topic:

Grade 1: Base 10 blocks worksheets

Grade 1: Place value worksheets

Grade 2: Place value worksheets

Grade 3: Place value worksheets

Grade 4: Place value worksheets

Grade 5: Place value worksheets

Topics include:

Grade 1 base 10 blocks worksheets

  • Counting and making 10 with ten frames
  • Regrouping unit blocks into blocks of 10 ("rods")
  • Counting "tens" and "ones"
  • Breaking a number (11-99) into rods ("tens") and  blocks ("ones")
  • Adding 2 digit numbers with base 10 blocks

Grade 1 place value worksheets

  • Identifying tens and ones from 2 digit numbers
  • Combining tens and ones into 2 digit numbers
  • Identifying a digit's place value (tens, ones)
  • Building a 2 digit number with missing addends
  • Write 2 digit numbers in expanded form
  • Write 2 digit numbers in normal form

Grade 2 place value worksheets

  • Building a 3-digit number from the parts
  • Missing place values in 3-digit numbers
  • Write 3-digit numbers in expanded form
  • Write 3-digit numbers in normal form
  • Hundreds, tens & ones - identify the underlined digit
  • Comparing and ordering numbers up to 100 and 1,000

Grade 3 place value worksheets

  • Building 3, 4 and 5-digit numbers from the parts
  • Missing place values in 3 and 4-digit numbers
  • Write 4-digit numbers in expanded form
  • Write 4-digit numbers in expanded notation
  • Write 4-digit numbers in standard form
  • Identify the place value of the underlined digit
  • Compare and order numbers up to 10,000 and 100,000

Grade 4 place value worksheets

  • Building 4, 5 and 6-digit numbers from the parts
  • Missing place values in 4, 5 and 6-digit numbers
  • Write 5-digit numbers in expanded form
  • Write 5 digit numbers in expanded notation
  • Write 5-digit numbers in standard form

Grade 5 place value worksheets

  • Building 5 and 6-digit numbers from the parts
  • Missing place values in 5 and 6-digit numbers
  • Build numbers from parts with decimals
  • Decimal numbers in expanded form
  • Decimal numbers in expanded notation

Related topics

Comparing numbers worksheets

Rounding worksheets

place value problem solving cards

Sample Place Value Worksheet

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Who am I? Place Value Problem Cards

Add to calendar, add to favourites, description.

Print and laminate these place value problem solving cards for students to use during small group work or independent activities.

Additional information

Australian Curriculum Code

AC9M2N01, AC9M2N02, AC9M3N01

File Format

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Number and Place Value Challenge Cards - Year 6

Number and Place Value Challenge Cards - Year 6

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

Online Teaching Resources

Last updated

23 August 2024

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place value problem solving cards

FREE KS2 Maths Teaching Resource: Number and Place Value Challenge Cards - Year 6

These FREE challenge cards have been designed to consolidate pupils understanding of the curriculum objectives of the Year 6 maths programme of study - Number - number and place value.

Not quite what you’re looking for? Click below for similar Year 6 number and place value resources:

Number and Place Value - Year 6 Comparing and Ordering Numbers - Year 6 Numbers to Ten Million - Year 6 Place Value - Year 6 Place Value to Millions - Year 6 Rounding Numbers - Year 6 Rounding Whole Numbers - KS2 Understanding Negative Numbers - Year 6

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Really brings the learning of place value together. Thank you!

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  1. Year 2 Place Value Challenge Cards (Teacher-Made)

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  3. Teacher's Pet » Year 2 Place Value Reasoning and Problem Solving

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  6. Place Value Puzzle Cards

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COMMENTS

  1. Free Place Value Worksheets—Printable with Answers

    Welcome to our free Place Value Worksheets Library! The free pdf worksheets below are organized by the following-subtopics: Basic Place Value Worksheets (Tens and Ones) Intermediate Place Value Worksheets (Hundreds, Thousands, +) Decimal Place Value Worksheets. Each place value worksheet can be downloaded as a PDF file that is easy to print or ...

  2. Place Value Worksheets for Practice

    These place value worksheets will create a test with twenty word problems for place values concepts. These place value worksheets are appropriate for Kindergarten, 1st Grade, and 2nd Grade. Rearrange Digits for the Largest and Smallest Numbers Worksheets

  3. Problem Solving with Place Value

    I designed this problem-solving lesson to deepen students’ understanding of place value to connect it to other aspects of mathematics, including listing permutations, odd and even numbers and money. By linking to these topics, the questions are challenging yet remain accessible to students in key stage 3 and those studying the foundation ...

  4. Place Value Worksheets

    Grade 3 place value worksheets. Building 3, 4 and 5-digit numbers from the parts. Missing place values in 3 and 4-digit numbers. Write 4-digit numbers in expanded form. Write 4-digit numbers in expanded notation. Write 4-digit numbers in standard form. Identify the place value of the underlined digit. Compare and order numbers up to 10,000 and ...

  5. Year 2 Place Value Challenge Cards (teacher made)

    You can use these place value challenge cards to assess children's ability to recognise place value in numbers up to 100. Each card contains a question for children to think carefully about the place values of numbers. A great challenge or mastery activity for children to use independently, in small groups or as a whole class discussion. Sign ...

  6. Place Value Problem Cards Teaching Resources

    Digital & printable versions included. Word problems designed to help third grade students exercise multi-step math problem solving, reasoning, critical thinking, and precise math

  7. Maths Place Value Challenge Cards

    Each card features a different challenge that will help students understand the expanded form of numbers and the place values. This reusable, versatile resource can be used in a number of ways including whole-class activities during your Maths lessons, group activities, or for extension activities. Year 2 place value challenges.

  8. Who am I? Place Value Problem Cards

    Print and laminate these place value problem solving cards for students to use during small group work or independent activities. Have students work independently or together to solve the word problems and place the digits in the correct places. Additional information. Australian Curriculum Code: AC9M2N01, AC9M2N02, AC9M3N01.

  9. Place Value Problems

    In this session, we'll learn how to solve problems related to place value. This is one of the fundamental concepts in arithmetic, something every elementary and middle school mathematics teacher should understand profoundly. Several example puzzles are followed by a rich selection of over 30 additional problems to explore. This collection of ...

  10. Place Value Problem-Solving Worksheets

    Problem-solving worksheets are great for independent learning and developing children's understanding of various topics, including place value! This set contains differentiated worksheets, so you can easily support classes of mixed ability or challenge any students who have already mastered the basics. Each sheet has clear answer boxes for ...

  11. Place Value Practice Questions

    Click here for Answers. . Place Value Answers - Corbettmaths. Watch on. Practice Questions. Lowest Common Multiples (LCM) and Highest Common Factors (HCF) Practice Questions. The Corbettmaths Practice Questions on Place Value.

  12. Number and Place Value Challenge Cards

    JPG, 179.72 KB. JPG, 173.32 KB. JPG, 153.68 KB. FREE KS2 Maths Teaching Resource: Number and Place Value Challenge Cards - Year 6. These FREE challenge cards have been designed to consolidate pupils understanding of the curriculum objectives of the Year 6 maths programme of study - Number - number and place value.

  13. Place Value Challenge Cards

    What are these place value word problems? Make maths fun with these place value challenge cards! Each card features a different challenge with visual representations to help your children relate maths problems to real-life scenarios. If you enjoyed this resource in your lessons, we recommend these Year 4 Differentiated Maths Mats. WenzNZ ...

  14. Year 4 Number and Place Value Challenge Cards

    Year 4 Order and Compare Place Value Maths Mastery Challenge Cards. Year 5 Number and Place Value Challenge Cards. ... Place Value Problem Solving Differentiated Worksheets. Place Value up to 10 000 Worksheet. Year 3 Maths Place Value Chilli Challenge Cards. Get to know us. About Us;

  15. Free place value task cards

    Browse free place value task cards on Teachers Pay Teachers, a marketplace trusted by millions of teachers for original educational resources. Log In Join. Cart is empty ... Math Escape Room - Decimals, Problem Solving & Crack the Code. Desktop Learning Adventures. $6.50 Original Price $6.50. Math Curriculum For 4th Grade, 5th Grade, and 6th ...

  16. Year 2 Place Value Challenge Cards (Teacher-Made)

    You can use these place value challenge cards to assess children's ability to recognise place value in numbers up to 100. Each card contains a question for children to think carefully about the place values of numbers. ... place value problem solving . year 2 maths challenge cards . year 1 place value . place value word problems . year 2 ...

  17. Place Value Challenge Cards

    If you're looking for some place value word problems, we've included some on these challenge cards. These place value challenge cards are great fun for your children in school and at home. Each of our challenge cards features a different challenge or place value word problem with visual representations to help your children relate maths problems to real-life scenarios. You can help your ...

  18. Place Value Riddle Challenge Cards (Teacher-Made)

    Use this handy set of 11 challenge cards to support your KS1 children in solving problems in an engaging way. Children will read the clues and identify two-digit numbers, using manipulatives such as base ten equipment to explain their reasoning. Another possibility is to use the challenge cards to make an individual booklet for each child (and a front cover is included for this purpose). To ...

  19. Year 5 Place Value Reasoning and Problem Solving Challenge Cards

    Teacher's Pet » Year 5 Place Value Reasoning and Problem Solving Challenge Cards. Year 5 Place Value Reasoning and Problem Solving Challenge Cards Designed to encourage children to engage in problem solving activities, this set of 28 - High quality downloadable teaching resource from Teacher's Pet.

  20. Place value challenge cards

    Need something to challenge your high achievers? Try this Place Value with Decimals Enrichment! Keep your gifted and higher level students learning with Place Value &amp; Decimals Challenge Skills Sheets, Problem Solving, &amp; Task Cards.Great for differentiation, higher level thinking, and deep understanding!These Activities are Perfect for:Math Centers or StationsEarly Finisher ...

  21. Year 6 Place Value Number Problems Maths Mastery Challenge Cards

    Year 6 Maths Place Value Chilli Challenge Cards. Crossnumber Place Value Worksheet. Place Value Riddle Year 6 Challenge Cards. Year 6 Number and Place Value Baseline Assessment and Tracker. Place Value to 10 000 000 Worksheet. Year 6 Calculation Solve Problems Maths Mastery Challenge Cards. Year 6 Decimal Place Value Maths Mastery Challenge Cards.

  22. Year 3 Recognising Place Value Maths Mastery Challenge Cards

    Challenge your year 3 pupils with these fantastic&nbsp;challenge cards which provide a range of maths mastery activities based around the year 3 objective, to 'recognise the place value of each digit in a three-digit number (hundreds, tens, ones)'. These could be used as part of a lesson, as a group task or they&nbsp;could even be displayed as part of your interactive maths display. How about ...