year 3 reasoning and problem solving addition

50 year 3 maths questions

Practise your maths skills with these 50 math questions for year 3 , covering addition, subtraction, place value, measurement, time, money, and geometry! Answers included.

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Author Michelle Griczika

year 3 reasoning and problem solving addition

Published February 2024

year 3 reasoning and problem solving addition

  • Key takeaways
  • Mastering addition and subtraction skills helps us solve mathematical puzzles and apply them to real-life situations.
  • Understanding place value enables us to correctly read, write, and compare numbers, developing our number sense and mathematical reasoning.
  • Solving measurement word problems helps us apply mathematical concepts to practical scenarios, improving our problem-solving and critical thinking abilities.
  • Exploring time and money concepts allows us to understand the world around us, manage our daily routines effectively, and develop essential life skills.
  • Recognising shapes and their properties opens our eyes to the diverse world of geometry, helping us understand how objects are structured and enhancing our spatial awareness.

Table of contents

  • Addition & subtraction
  • Place value
  • Measurement
  • Time & money

Hello, year 3 mathematicians! Are you ready for some mind-boggling maths challenges?

We will be going over important maths skills needed to strengthen understanding of important mathematical concepts. Let’s dive in!

Section 1: Addition and subtraction

Section 2: place value.

Use the greater than symbol >, less than symbol <, or equal to symbol = to answer.

Answer: <

Answer: >

Section 3: Measurement

Answer: 53 centimetres

Answer: 38 centimetres

Answer: 32 centimetres

Answer: 35 centimetres

Answer: 55 centimetres

Answer: 68 centimetres

Answer: 84 centimetres

Answer: 40 centimetres

Answer: 50 centimetres

Section 4: Time & Money

Doodle-Blog-NumberIcons_1

Look at the analog clock and write the time to the nearest five minutes:

year 3 reasoning and problem solving addition

What time is shown on the digital clock?

year 3 reasoning and problem solving addition

Answer: £4.34

Answer: £5.08

Answer: 25 pence

Answer: £3.50

Answer: £4.37

Section 5: Geometry

Answer: Triangle

Answer: Square

Answer: Pentagon

Answer: Hexagon

Answer: Equilateral Triangle

Answer: Trapezoid

Answer: Cube

Maths practice for year 3 is super important because we use it every single day! For extra maths practice that comes in the form of fun maths games and interactive practice problems, try Doodle Learning’s maths help app .

Lesson credits

headshot of author, Michelle

Michelle Griczika

Michelle Griczika is a seasoned educator and experienced freelance writer. Her years teaching coupled with her double certification in early childhood education lend depth to her understanding of diverse learning stages. Michelle enjoys running in her free time and undertaking home projects.

year 3 reasoning and problem solving addition

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Problem-Solving Investigations for Year 3 Addition and Subtraction

Problem-Solving Investigations for Year 3 Addition and Subtraction

Hamilton's Resources

Last updated

9 August 2019

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Resources included (8)

year 3 reasoning and problem solving addition

Counting up subtraction with nos>100 - Problem-Solving Investigation - Year 3

Expanded addition: 3-digit numbers - 2 - Problem-Solving Investigation - Year 3

Expanded addition: 3-digit numbers - 2 - Problem-Solving Investigation - Year 3

Add 3-digit numbers using expanded addition - Problem-Solving Investigation - Year 3

Add 3-digit numbers using expanded addition - Problem-Solving Investigation - Year 3

Use different strategies to subtract - Problem-Solving Investigation - Year 3

Use different strategies to subtract - Problem-Solving Investigation - Year 3

Problem-Solving Investigation: Mental calculation – complements to 100 (Y3 Addition & Subtraction)

Problem-Solving Investigation: Mental calculation – complements to 100 (Y3 Addition & Subtraction)

Problem-Solving Investigation: Using place value to add/subtract (Year 3 Addition and Subtraction)

Problem-Solving Investigation: Using place value to add/subtract (Year 3 Addition and Subtraction)

Problem-Solving Investigation: Add/subtract: efficient mental strategies (Yr 3 Addition/Subtraction)

Problem-Solving Investigation: Add/subtract: efficient mental strategies (Yr 3 Addition/Subtraction)

Problem-Solving Investigation: Using number facts to add/subtract (Year 3 Addition and Subtraction)

Problem-Solving Investigation: Using number facts to add/subtract (Year 3 Addition and Subtraction)

These in-depth Year 3 Addition and Subtraction problem-solving investigations will develop maths meta-skills, and enable children to learn to think mathematically and articulate mathematical ideas.

These open-ended mathematical activities cover the following objectives:

  • Using number facts to add/subtract
  • Add/subtract: efficient mental strategies
  • Using place value to add/subtract
  • Mental calculation – complements to 100
  • Use different strategies to subtract two numbers
  • Add 3-digit numbers using expanded addition
  • Subtract 2-digit numbers from numbers over 100 using counting up

In-depth Investigation: Puzzling Squares Children use reasoning skills to solve a number puzzle. They use numbers 0 to 7 to make a total of 10 on each side of a square.

In-depth Investigation: Twisted Subtractions Children subtract a number which is the reverse of another, e.g. 62 - 26.

In-depth Investigation: Magic 147 Children arrange the ‘nearly numbers’ in a square so that each row and column adds to Magic 147.

In-depth Investigation: Closest to 100 Following simple rules children find ways to make 100 based on four dice throws. They practise adding four numbers with a total around 100 and use this to find a solution.

In-depth Investigation: Magic Square Differences Children use the magic square to generate two-digit numbers and explore difference patterns.

In-depth Investigation: Expanded Elevens Children use base 10 equipment to create 3-digit numbers to add using expanded column addition.

In-depth Investigation: Pattern Subtractions Children subtract two-digit from three-digit numbers, by counting up, and look out for patterns in the numbers.

In-depth Investigation: Next Door Additions Children add pairs of three-digit numbers and look for patterns in the digital roots of the answers.

These problem-solving investigations are part of our Year 3 Addition and Subtraction block. Each Hamilton maths block contains a complete set of planning and resources to teach a terms worth of objectives for one of the National Curriculum for England’s maths areas.

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IMAGES

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COMMENTS

  1. PDF Year 3 Add Two 3-Digit Numbers 2 Reasoning and Problem Solving

    Reasoning and Problem Solving Step 14: Add Two 3-Digit Numbers 2 National Curriculum Objectives: Mathematics Year 3: (3C2) Add and subtract numbers with up to three digits, using formal written methods of columnar addition and subtraction Mathematics Year 3: (3C4) Solve problems, including missing number problems, using

  2. PDF Year 3 Add Two 3-Digit Numbers 1 Reasoning and Problem Solving

    Reasoning and Problem Solving - Add Two 3-Digit Numbers 1 - Year 3 Expected. 7a.Brett says, can make a total of seven hundred and eighty-six by adding two hundred and thirteen to a number below. Three ones, Six five three ones hundreds, Seven tens, hundreds three ones and six and seven and five hundreds tens tens.

  3. Year 3 Problem Solving Addition and Subtraction Maths Mastery ...

    Challenge your Year 3 students with this PowerPoint with a range of maths mastery activities based around the Year 3 objective: Solve problems, including missing number problems, using number facts, place value and more complex addition and subtraction. Support their learning with different pictorial representations including both base ten and bar modelling.

  4. Free Year 3 Maths Worksheets, Tests & Homework (PDFs)

    The year 3 addition and subtraction worksheets include lots of addition and subtraction questions for children to follow along with. ... reasoning and problem solving worksheets Year 3 Maths Worksheets for improving mental maths, arithmetic and fluency: Fluent in Five ... more than 120 maths reasoning questions includes modelled answers and ...

  5. PDF Year 3 3-digit Numbers and Ones Reasoning and Problem Solving

    Reasoning and Problem Solving - 3-digit Numbers and Ones - Teaching Information. 1a.Alison is representing a number using Base 10. adds an even number of ones. Write down all the numbers she could be left with. 1b. Edward is representing a number using Base 10. subtracts an even number of ones.

  6. PDF Year 3

    Year 3 | Autumn Term | Teaching Guidance Notes and Guidance Mathematical Talk ... Week 4 to 8 - Number: Addition and Subtraction Reasoning and Problem Solving 3-digit Numbers and Ones . Year 3 | Autumn Term ... Reasoning and Problem Solving 3-digit Numbers and Tens 589 - 70 is equal to 582 When I calculated 392 - 20 I used my ...

  7. Maths Mastery Activities Year 3 Addition and Subtraction ...

    Year 3 Multiplication and Division Methods Maths Mastery PowerPoint. Maths Mastery Year 3 Money PowerPoint. This PowerPoint gives Year 3 children the opportunity to practise their mastery of maths addition and subtraction skills.Tags in this resource: children-talking.pngmagnifying-glass-3.png.

  8. Year 3 maths questions

    Try these year 3 maths questions that cover addition, subtraction, place value, telling time, counting money, shapes & more. ... developing our number sense and mathematical reasoning. Solving measurement word problems helps us apply mathematical concepts to practical scenarios, improving our problem-solving and critical thinking abilities.

  9. Addition and Subtraction Word Problems Year 3

    Engaging Addition and Subtraction Word Problems for Year 3. This handy worksheet includes a range of addition and subtraction word problems for year 3 pupils. These are perfect for developing children's fluency, reasoning and problem-solving skills. The problems will help them practise essential skills by learning to complete the required ...

  10. Word Problems Year 3 Addition and Subtraction

    Word Problems Year 3 Addition and Subtraction. Help your pupils apply their understanding of addition and subtraction to an unfamiliar context using these worded problems. 11 questions to develop reasoning and problem solving skills. This worksheet contains 10 addition and subtraction questions of ascending difficulty plus one challenge question.

  11. Problem-Solving Investigations for Year 3 Addition and Subtraction

    These in-depth Year 3 Addition and Subtraction problem-solving investigations will develop maths meta-skills, and enable children to learn to think mathematically and articulate mathematical ideas. These open-ended mathematical activities cover the following objectives: Using number facts to add/subtract. Add/subtract: efficient mental strategies.

  12. Word Problems Year 3

    This handy worksheet includes a range of addition and subtraction word problems for Year 3 pupils. They are perfect for developing children's fluency, reasoning and problem-solving skills. To make marking and self-assessment easier, it comes complete with a helpful answer sheet.It features ten word problems in total, as well as a bonus challenge question, making it a great resource to use at ...

  13. PDF Number: Addition and Subtraction with Reasoning

    Year 1 Year 2 Year 3 Year 4 Year 5 Year 6 represent and use ... Addition and Subtraction with Reasoning PROBLEM SOLVING solve one-step problems that involve addition and subtraction, using concrete objects and pictorial representations, and missing number problems such as 7 = - 9 solve problems with addition and subtraction: * using concrete ...

  14. Problem solving

    Year 3 Maths Problem solving learning resources for adults, children, parents and teachers.

  15. Year 3 Addition and Subtraction Primary Resources

    Year 3 Diving into Mastery: Step 16 Subtract Two Numbers (Across a 100) Teaching Pack. Year 3 Diving into Mastery: Step 6 Add 1s Across a 10 Teaching Pack. 4.8 (5 reviews) Year 3 Diving into Mastery: Step 5 Spot the Pattern Teaching Pack. 4.7 (3 reviews) Year 3 Estimate and Use Inverse Addition and Subtraction Maths Mastery PowerPoint.

  16. PDF Puzzles and problems for Years 3 and 4

    Explain methods and reasoning. Make each pond hold two ducks or five ducks. Make each pond hold twice as many ducks as the one before. Make each pond hold one less duck than the one before. Solve mathematical problems or puzzles. Know multiplication facts for 2 and 5 times tables. Add three or four small numbers.

  17. Year 3 Problem Solving Addition and Subtraction Maths Mastery ...

    Challenge your Year 3 students with this PowerPoint with a range of maths mastery activities based around the Year 3 objective: Solve problems, including missing number problems, using number facts, place value and more complex addition and subtraction. Support their learning with different pictorial representations including both base ten and bar modeling.

  18. Year 3 Maths Starters

    Our Year 3 Maths Autumn Morning Starter PowerPoint 1 has been created to ease year 3 pupils into the start of the academic year. Each slide features a maths problem for pupils to solve. Simply click to reveal the answer and move onto the next one. These starters focus on problem-solving, place value and reasoning skills. What are starter ...

  19. Addition and Subtraction Word Problems Year 3

    This handy worksheet includes a range of addition and subtraction word problems for year 3 pupils. These are perfect for developing children's fluency, reasoning and problem-solving skills.The problems will help them practise essential skills by learning to complete the required calculations needed to solve addition and subtraction problems. Featuring ten word problems in total as well as a ...

  20. PDF Year 3 Add Lengths Reasoning and Problem Solving

    Reasoning and Problem Solving Step 5: Add Lengths National Curriculum Objectives: Mathematics Year 3: (3M9b) Add and subtract lengths (m/ cm/ mm) Differentiation: Questions 1, 4 and 7 (Problem Solving) Developing Find two lengths which total an amount between given parameters. No exchanging.

  21. Addition and Subtraction Word Problems Year 3

    This handy worksheet includes a range of addition and subtraction word problems for year 3 pupils. These are perfect for developing children's fluency, reasoning and problem-solving skills.The problems will help them practise essential skills by learning to complete the required calculations needed to solve addition and subtraction problems. Featuring ten word problems in total as well as a ...

  22. Year 3 Maths Word Problems

    This Year 3 Maths Problems pack contains 16 challenge cards with a range of questions for children to answer. It also features an answer sheet to help you quickly check their work afterwards.This resource is perfect for sparking children's interest in maths. That's because the practical aspect of these maths word problems for year 3 is bound to make learning more fun and engaging.Children ...

  23. PDF Year 3 Scaling Reasoning and Problem Solving

    Reasoning and Problem Solving - Scaling - Teaching Information. 1a.Choose from the number cards below to complete the sentence. 1b. Choose from the number cards below to complete the sentence. 2a.Mia says, 4 is 3 times bigger than 12. 2b. Imran says, 10 is 2 times smaller than 22. 3a.