Reasoning/Problem Solving Maths Worksheets for Year 3 (age 7-8)

Money problems and challenges.

A variety of problem solving activities involving money.

Preview of worksheet  Change

50p to spend, but can you make sure you get the correct change?

Preview of worksheet Pounds and pence

Watch out when writing pence as pounds and remember to always have two digits after the decimal point.

Preview of worksheet Money problems

The hardest part of these money problems is to read the question and work out what to do.

Preview of worksheet Shopping activity

Put three items in your basket that you would like to buy and then use the money cards to work out the sum.

Preview of worksheet Days out (1)

Solve money problems using the information provided.

Preview of worksheet Days out (2)

Solve money problems at the skating rink.

Preview of worksheet Days out (3)

Plenty of monkey business here!

Preview of worksheet Days out (4)

It's a trip to the zoo to find the very best value.

Preview of worksheet Money problem solving (1)

Some tricky money problems to solve.

Preview of worksheet Money problem solving (2)

More tricky money problems to solve.

Preview of worksheet Money problem solving (3)

Finding different amounts from a given set of coins.

Number and calculating problems

Solve number problems and calculating using addition, subtraction, multiplication and division.

Preview of worksheet Revision: make 2-digit numbers from digit cards 1

Find the 2-digit numbers that can be made using these digit cards.

Preview of worksheet Revision: make 2-digit numbers from digit cards 2

Make 2-digit numbers and find the smallest and largest numbers.

Preview of worksheet Revision; make 2-digit numbers from digit cards 3

More on finding 2-digit numbers from three digit cards.

Preview of worksheet How many legs do the monsters have?

Tricky little problems involving monsters' legs.

Preview of worksheet Find out how many strawberries are eaten

Use logic, addition and subtraction to find out how many strawberries are eaten.

Preview of worksheet Bar Model: addition and subtraction facts

Bar Model: addition and subtraction facts.

Preview of worksheet Bar modelling: number facts

Use bar models to add and subtract.

Preview of worksheet Making addition and subtraction number stories

Encourage children to make addition and subtraction come to life by writing short number stories.

Preview of worksheet What numbers can you make with digit cards?

What numbers can you make with digit cards?

Preview of worksheet 3-digit cards: largest and smallest number

What are the largest and smallest numbers that can be made with 3 cards?

Preview of worksheet Making multiplication and division number stories

More number stories to write: this time all about multiplication and division.

Preview of worksheet What sign?

All the numbers are here, but the signs are missing! Can you work out what the signs should be?

Preview of worksheet Odd and even number investigations

Investigating odd and even numbers and what happens when you add them together.

Preview of worksheet Place value: reasoning

Use knowledge of place value to find all possible answers.

Preview of worksheet Find the number and missing digits

Finding the numbers and missing digits to make number sentences correct.

Preview of worksheet Investigate statements: odd and even

Investigate statements involving odd and even numbers.

Preview of worksheet Investigate statements: multiplication

Investigate statements about multiplication and times tables.

Preview of worksheet Think of a number

I?m good at thinking of numbers, but can you work out what number I am thinking about ? I do give a clue!

Preview of worksheet Work out the missing value (1)

Work out the missing value using division and addition.

Preview of worksheet Work out the missing value (2)

Use reasoning to find the missing values.

Preview of worksheet Work out the missing value (3)

More on finding the missing values - an early introduction to algebra.

Preview of worksheet Work out the missing value (4)

Use division and addition to find the missing values.

Preview of worksheet Work out the missing value (5)

Find the missing values from the information given.

Preview of worksheet Work out the missing value (6)

More on finding the value using reasoning.

Real life and word problems

A selection of real life problems and word problems.

Preview of worksheet Real life problems (1)

Tricky word problems.

Preview of worksheet Real life problems (2)

More tricky word problems.

Preview of worksheet Solve one step word problems

Tricky questions, but you only have to carry out one maths step to answer them.

Preview of worksheet Solve two step word problems

Even trickier questions, and you have to carry out at least two steps to work them out!

Preview of worksheet More word problems

More word problems, from the library to shopping and on to flying around the world.

Preview of worksheet Solve time problems

Here we have four pages of questions all on time, including a trip to Alicante!

Preview of worksheet Fractions: reasoning

Solving tricky fraction problems.

More challenges and activities

A great selection of activities requiring logical thinking.

Preview of worksheet Adding digits

Investigation looking at possibilities when adding the digits from 1 to 5.

Preview of worksheet Magic triangle (2)

This time you can decide the total for the sides of the triangle.

Preview of worksheet It's an odd world

Can you put the numbers 1 to 9 in the diagram so that the difference between each pair of joined numbers is odd?

Preview of worksheet  Making 12

This challenge is to find as many ways as possible of making 12 using three number cards and the add, subtract and multiply signs.

Preview of worksheet Hexagon adding tens challenge

A development of the 'Caterpillar investigation' but using multiples of 10. Great for practising addition.

Preview of worksheet Dinosaur egg laying challenge

3 dinosaurs laid some eggs. They laid 19 altogether. How many did they each lay?

Preview of worksheet 19 miles investigation

How many ways can three runners cover a distance of 19 miles? They all have to run an odd number of miles.

Preview of worksheet Estimate pages in a book

A book challenge here. How accurately can you guess the number of pages in books?

Preview of worksheet Making shapes

2D card shapes and a 3 x 3 pinboard are useful for these shape activities.

Preview of worksheet Calculator problems

A calculator is needed to find how many different answers can be made from the numbers given. Good for working in an organised, logical way.

Preview of worksheet Year 3 Challenges: Using and Applying Maths

A brief summary of some of the most important maths concepts to be taught in Year 3 by way of challenges and investigations.

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Reasoning with Multiplication — Problem Solving (Year 3)

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This resource is suitable for the White Rose Maths Scheme of Learning, covering Spring Term Block 1 (Multiplication and Division B), Step 3 (Reasoning about Multiplication).

Give children plenty of practice reasoning about multiplication with this worksheet. Looking at the statements and problems, children have to use their knowledge of multiplication to explain their answers.

The answers are included with this worksheet.

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 3 White Rose

  • Key Stage: Key Stage 2
  • Subject: Maths
  • Topic: White Rose Maths | Spring Term: Multiplication and Division B | Small Step 3
  • Topic Group: Calculations
  • Year(s): Year 3
  • Media Type: PDF
  • Resource Type: Worksheet
  • Last Updated: 11/01/2024
  • Resource Code: M2WAT16111
  • Curriculum Point(s): Write and calculate mathematical statements for multiplication and division using the multiplication tables that they know, including for two-digit numbers times one-digit numbers, using mental and progressing to formal written methods.

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Solve Problems with Multiplication-Reasoning and Problem Solving

Solve Problems with Multiplication - Reasoning and Problem Solving

Solve Problems with Multiplication - Reasoning and Problem Solving

This worksheet includes a range of reasoning and problem solving questions for pupils to practise the main skill of Solve Problems with Multiplication.

reasoning and problem solving year 3 multiplication

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What's included in the pack?

Solve Problems with Multiplication reasoning and problem solving worksheet Answer sheet

National Curriculum Objectives:

(6C8)  Solve problems involving addition, subtraction, multiplication and division (6C6)  Perform mental calculations, including with mixed operations and large numbers

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Maths Reasoning Booklet - Year 3

Maths Reasoning Booklet - Year 3

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

Chrisshbang's Shop

Last updated

27 August 2019

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docx, 3.02 MB

Adapted from the brilliant I See Reasoning resource (all credit to them) into one, foldable booklet.

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Colourful and editable! Thank you

Brilliant resource, thank you!

Good stuff but there were some questions that might be too difficult for year 3 like the complete using 0-9 digits without using any digit more than once

chrisshbang

My year 3 class loved that and flourished with it, but all classes are different :)

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IMAGES

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COMMENTS

  1. PDF Year 3 Multiply by 3 Reasoning and Problem Solving

    National Curriculum Objectives: Mathematics Year 3: (3C6) Recall and use multiplication and division facts for the 3, 4 and 8 multiplication tables Differentiation: Questions 1, 4 and 7 (Reasoning) Developing Prove how many of an object there are altogether using knowledge of counting in 3s in order to multiply by 3 (up to 12 groups of 3).

  2. PDF Year 3 The 3 Times Table Reasoning and Problem Solving

    1a. 15 2a. Square, square, triangle. No, she is not correct because every 3rd shape is a triangle. 3a. There would be 18 apples in 3 bowls.

  3. PDF Year 3 Related Calculations Reasoning and Problem Solving

    The correct answer is 80 ÷ 20 = 4. Mary has divided by 2, not 20. 2a. Various answers, for example: 4 x 5 = 20, 5 x 4 = 20, 20 ÷ 5 = 4, 40 x 5 = 200, 4 x 50 = 200 3a. Eva is correct. Each heart is worth 10, so the array shows 40 x 2 or 20 x 4 which equals 80. This is a related fact to 4 x 2. Expected

  4. PDF Year 3 Multiply by 4 Reasoning and Problem Solving

    Reasoning and Problem Solving - Multiply by 4 - Year 3 Expected Reasoning and Problem Solving - Multiply by 4 - Year 3 Greater Depth Reasoning and Problem Solving Multiply by 4 Developing 1a. William has 24 pencils because 6 x 4 = 24. 2a. 4 x 2 = 8 + 0 or 4 x 3 = 8 + 4 3a.

  5. PDF Year 3 Multiplying 2 Digits by 1 Digit 1 Reasoning and Problem Solving

    Reasoning and Problem Solving Step 3: Multiply 2 Digits by 1 Digit 1 National Curriculum Objectives: Mathematics Year 3: (3C6) Recall and use multiplication and division facts for the 3, 4 and 8 multiplication tables Mathematics Year 3: (3C7) Write and calculate mathematical statements for multiplication

  6. Y3 DiM: Step 3 Reasoning About Multiplication Teaching Pack

    How can I teach year 3 children to reason about multiplication? This fantastic Diving into Mastery resource has been expertly written to complement teaching of the year 3 small step 3, 'Reasoning about multiplication' from the latest version of the White Rose Maths scheme of learning. Show more Related Searches

  7. PDF Year 3 Multiply by 8 Reasoning and Problem Solving

    1a. Will is correct because 3 x 8 = 24. There are 3 flowers with 8 petals each so there are 24 petals altogether. 2a. C is the odd one out because A, B and D all represent 6 x 8 = 48. C represents 3 x 8 = 24. 3a. 7, 2 Expected

  8. Reasoning/Problem Solving Maths Worksheets for Year 3 (age 7-8)

    Reasoning/Problem Solving Maths Worksheets for Year 3 (age 7-8) Some of my favourite maths here! This section is all about putting mathematical knowledge to good use. This includes solving one-step and two-step problems involving numbers, money, measures and time, as well as following lines of enquiry and organising results in a logical order.

  9. White Rose Maths Compatible Multiply by 3

    Use this maths mastery teaching pack to develop year 3 children's understanding of how to multiply by 3, making links between multiplication and repeated addition. It contains fluency, reasoning and problem-solving tasks and can be used to support the White Rose Maths small step 'Multiply by 3'. In addition, it links to the year 3 national curriculum aim 'Recall and use multiplication ...

  10. PDF Year 3 Scaling Reasoning and Problem Solving

    Mathematics Year 3: (3C6) Recall and use multiplication and division facts for the 3, 4 and 8 multiplication tables Mathematics Year 3: (3C8) Solve problems, including missing number problems, involving multiplication and division, including positive integer scaling problems and correspondence problems in which n objects are connected to m objects

  11. Y3 Reasoning About Multiplication PlanIt Maths Lesson 15

    This lesson supports the year 3 national curriculum aim 'Write and calculate mathematical statements for multiplication and division using the multiplication tables that they know including for 2-digit numbers times 1-digit numbers, using mental and progressing to formal written methods'.

  12. Multiplication worded problems Year 3

    Practice your multiplication skills with these worded problems based on the 3, 4, 6, 8, 9, and 11 times tables. Check your answers with the provided sheet. Suitable for Year 3 students.

  13. PDF Reasoning and Problem Solving Multiplication and Division Consolidation

    Mathematics Year 3: Solve problems, including missing number problems, involving multiplication and division, including positive integer scaling problems and correspondence problems in which n objects are connected to m objects About This Resource This resource is aimed at Year 3 Expected and has been designed to give children the opportunity ...

  14. Year 3 White Rose Maths Compatible Teaching Pack Multiply ...

    Teach year 3 children to multiply by 4 using this maths mastery teaching pack. The activities and supporting PowerPoint contain fluency, reasoning and problem-solving style tasks and can be used to support the White Rose Maths small step, Multiply by 4. It also links to the year 3 national curriculum aim, recall and use multiplication and division facts for the 3, 4 and 8 multiplication tables.

  15. PDF Year 3 Comparing Statements Reasoning and Problem Solving

    More Year 3 Multiplication and Division resources. Did you like this resource? Don't forget to review it on our website. Reasoning and Problem Solving - Comparing Statements - Teaching Information Reasoning and Problem Solving Comparing Statements Developing 1a. No, 8 x 4 = 32 and 2 x 4 = 8. 8 is less than 32.

  16. Reasoning with Multiplication

    This resource is suitable for the White Rose Maths Scheme of Learning, covering Spring Term Block 1 (Multiplication and Division B), Step 3 (Reasoning about Multiplication). Give children plenty of practice reasoning about multiplication with this foundation-level worksheet. Looking at the statements and problems, children have to use their ...

  17. PDF Year 3 The 8 Times Table Reasoning and Problem Solving

    Reasoning and Problem Solving The 8 Times Table Reasoning and Problem Solving The 8 Times Table Developing 1a. 2a. Various answers, for example: 1 x 8 and 2 x 4 = 8, 8 x 3 and 6 x 4 = 24. 3a. Rosie is correct. She has 2 equal groups of 8. Jay has 16 sweets but his groups are not equal. Expected 4a. 5a. Various answers, for example: 4 x 10

  18. Reasoning with Multiplication

    Author: Tina Morice. This resource is suitable for the White Rose Maths Scheme of Learning, covering Spring Term Block 1 (Multiplication and Division B), Step 3 (Reasoning about Multiplication). Give children plenty of practice reasoning about multiplication with this worksheet. Looking at the statements and problems, children have to use their ...

  19. Related Calculations

    The resource consists of 1 lesson, including a PowerPoint presentation and differentiated worksheets for independent learning, to guide your class through the curriculum objectives of the Year 3 maths programme of study (number - multiplication and division).

  20. Solve Problems with Multiplication-Reasoning and Problem Solving

    This worksheet includes a range of reasoning and problem solving questions for pupils to practise the main skill of Solve Problems with Multiplication.

  21. Word Problems Year 3 Multiplication

    Word Problems Year 3 Multiplication. Help your pupils apply their understanding of multiplication to an unfamiliar context using these worded problems. 11 questions to develop reasoning and problem solving skills. This worksheet contains 10 multiplication questions of ascending difficulty plus one challenge question. An answer sheet is included.

  22. Maths Reasoning Booklet

    Maths Reasoning Booklet - Year 3. Subject: Mathematics. Age range: 7-11. Resource type: Worksheet/Activity. Chrisshbang's Shop. 4.60 39 reviews. Last updated. 27 August 2019. Share this. ... Good stuff but there were some questions that might be too difficult for year 3 like the complete using 0-9 digits without using any digit more than once ...

  23. PDF Year 5 Multiply 3-Digits by 2-Digits Reasoning and Problem Solving

    Reasoning and Problem Solving - Multiply 3 Digits by 2 Digits - Teaching Information 1a.Omar and Melissa are working on the Omar Melissa x 2) x 0) x 300) (20 x 2) (20 x 0) (20 x 300) x 2) x 0) x 300) (20 x 2)