times table problem solving year 4

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Year 4 Maths Worksheets UK Hub Page

Welcome to our Year 4 Maths Worksheets Hub page.

Here you will find our selection of printable maths worksheets for Year 4 children, for your child will enjoy.

Take a look at our times table colouring pages, or maybe some of our fraction of shapes worksheets. Perhaps you would prefer our time worksheets, or learning about line or block symmetry?

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• This page contains links to other Math webpages where you will find a range of activities and resources.
• If you can't find what you are looking for, try searching the site using the Google search box at the top of each page.

Year 4 Maths Learning

Here are some of the key learning objectives for the end of Year 4:

• know and use Place value up to 4 digits
• Compare and order numbers up to 10,000
• Counting on and back in 1s, 10s, 100s and 1,000s from different starting points
• Position numbers on a number line up to 10,000
• Round numbers to the nearest 10, 100 or 1000.
• Count backwards through zero and use negative numbers.
• add and subtract with up to 4 digits in columns
• add or subtract 1s, 10s, 100s or 1000s from a 4-digit number
• solve 2-step problems using addition and subtraction
• recall and use multiplication and division facts up to 12x12
• recognise and use factor pairs
• multiply 2-digit and 3-digit numbers by a 1-digit number
• solve problems using multiplication and division
• count up and down in hundredths
• recognise and use equivalent fractions
• add and subtract fractions with the same denominator
• solve fraction problems including with non-unit fractions
• write common fractions such halves and quarters as decimals;
• understand tenths and hundredths as decimals
• round decimals with 1dp to the nearest whole
• compare numbers with up to 2dp
• solve simple money and measure problems
• measure, compare and calculate using different measures
• find the area and perimeter of squares and rectangles
• convert between 12- and 24-hour clock
• convert between different units of measure
• identify and order acute and obtuse angles
• compare and classify 2D and 3D shapes according to their properties
• identify lines of symmetry in 2D shapes
• use coordinates in the first quadrant
• translate shapes up, down, left and right
• interpret and present data in bar graphs, pictograms and tabels
• solve 1-step and 2-step problems using data in tables, pictograms and graphs

Please note:

Our site is mainly based around the US Elementary school math standards.

Though the links on this page are all designed primarily for students in the US, but they are also at the correct level and standard for UK students.

The main issue is that some of the spelling is different and this site uses US spelling.

Year 4 is generally equivalent to 3rd Grade in the US.

On this page you will find link to our range of math worksheets for Year 4 pupils.

Quicklinks to Year 4 ...

• Online 3rd Grade Practice
• Place Value Zone
• Mental Math Zone

Word Problems Zone

Fractions zone.

• Measurement Zone

Geometry Zone

Data analysis zone.

• Fun Zone: games and puzzles

Coronavirus Stay At Home Support

For those parents who have found themselves unexpectedly at home with the kids and need some emergency activities for them to do, we have started to develop some Maths Grab Packs for kids in the UK.

Each pack consists of at least 10 mixed math worksheets on a variety of topics to help you keep you child occupied and learning.

The idea behind them is that they can be used out-of-the-box for some quick maths activities for your child.

They are completely FREE - take a look!

• Free Maths Grabs Packs

Place Value & Number Sense Zone

Year 4 numbers & place value worksheets.

Using these Year 4 maths worksheets will help your child to:

• learn their place value with 4 digit numbers;
• use place value models to understand how to combine thousands, hundreds, tens and ones;
• understand the value of each digit in a 4 digit number;
• learn to use standard and expanded form with 4 digit numbers.
• learn to read and write Roman numerals
• Place Value Models 4 Digits
• Place Value 4 Digit Numbers Worksheets (conversion)
• Ordering 4-Digit Numbers
• Ordering Negative Numbers -10 to 10
• Roman Numerals worksheets

Year 4 Counting & Sequences Worksheets

Each worksheets consists of a sequence which has been partially filled in. The rest of each sequence must be completed.

At this grade, the focus is on counting on and back in constant steps of a digit.

• Counting on and back by digits

Rounding, Inequalities, Multiples and Balancing Equations

Using these Year 4 Maths worksheets will help your child to:

• round a number to the nearest 10, 100 or 1000;
• use the > and < symbols correctly for inequalities;
• use multiples and apply them to solve problems.
• learn to balance math equations
• Rounding to the nearest 10 Worksheets
• Rounding to the nearest 100 worksheets
• Rounding to the nearest 1000 worksheets
• Rounding Inequalities Multiples Worksheets
• Balancing Math Equations

Year 4 Mental Math Zone

Here you will find a range of printable Year 4 mental maths quizzes for your child to enjoy.

Each quiz tests the children on a range of math topics from number facts and mental arithmetic to geometry, fraction and measures questions.

A great way to revise topics, or use as a weekly math quiz!

• Year 4 Mental Maths Test sheets

Number Bonds Worksheets

The worksheets on this page will help to develop children's knowledge of numbers bonds to 20, 50 and 100.

There are a range of matching and wordsearches for children to enjoy whilst developing their number bond knowledge.

• Number Bonds to 50 and 100

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Year 4 Addition Worksheets

• learn to add numbers mentally to 100;
• add on 1, 10, 100 and 1000 to different numbers;
• learn to add 4 digit numbers in columns;
• Addition Facts Worksheets to 100+100
• 4-Digit Addition Worksheets
• Money Addition Worksheets (£ )

Year 4 Subtraction Worksheets (3rd Grade)

Using these subtraction worksheets will help your child to:

• learn to subtract numbers mentally to 100;
• learn to do 4 Digit column subtraction.
• Third Grade Subtraction Worksheets to 100
• 4 Digit Subtraction Worksheets
• Money Subtraction Worksheets UK (£ )

Year 4 Multiplication Worksheets

• learn their multiplication tables up to 12 x 12;
• understand and use different models of multiplication;
• solve a range of Year 4 Multiplication problems.

Online Times Table Practice

• Times Tables Practice Zone

Understanding Multiplication

• Understanding Multiplication Facts Worksheets to 10x10

Multiplication Table Worksheets

• Multiplication Table Worksheets - 2 3 4 5 10
• Multiplication Drill Sheets 6 7 8 9
• Fun Multiplication Worksheets to 10x10
• Times Table Worksheets Circles 1 to 12 tables
• Multiplying (integers) by 10 and 100 Worksheets
• Multiplying by Multiples of 10 and 100

2-Digit Multiplication

• 2 Digit Multiplication Worksheets

Multiplication Word Problems

• Year 4 Multiplication Word Problem Worksheets (3rd Grade)

Randomly Generated Multiplication Worksheets

Using our random worksheet generator, you can:

• Choose the tables you want to test;
• Choose how big you want the numbers to go - up to 5 times, 10 times or bigger!
• Choose how many questions per page.
• Times Tables Worksheets (randomly generated)
• Free Multiplication Worksheets (randomly generated)
• Single Digit Multiplication Worksheets Generator
• Multiplication & Division Worksheets (randomly generated)

Year 4 Division Worksheets

Using these Year 4 Maths worksheets will help your child learn to:

• understand how division and multiplication relate to one another;
• know their division facts to 10x10;
• begin to learn 2-digit by 1-digit long division.
• Division Facts to 10x10 Worksheets
• Divding by Multiples of 10 and 100 Worksheets
• Year 4 Long Division Worksheets (3rd grade)
• Division Facts Worksheets (randomly generated)

Using the 3rd Grade Math worksheets will help your child to:

• apply their addition, subtraction, and multiplication skills;
• develop their knowledge of fractions;
• apply their knowledge of rounding and place value;
• solve a range of 'real life' problems.

These sheets involve solving one or two more challenging longer problems.

• Year 4 Math Problems (3rd Grade)

These sheets involve solving many 'real-life' problems involving data.

• Year 4 Math Word Problems for kids (3rd Grade)

These sheets involve solving 3-digit and 4-digit addition word problems.

• Addition Word Problems 3rd Grade (3- and 4-digits)

These sheets involve solving 3-digit and 4-digit subtraction problems.

• Subtraction Word Problems 3rd Grade

These sheets involve solving a range of multiplciation problems.

These sheets involve solving a range of division problems.

• Division Worksheets Grade 3 Word Problems

Year 4 Fraction Worksheets

Using these sheets will help your child to:

• understand what fractions are;
• relate fractions to everyday objects and quantities;
• place different fractions on a number line;
• shade in different fractions of a shapes;
• work out unit fractions of numbers.

• What is a Mixed Number Support page
• Finding Fractions - Fraction Spotting
• Fractions of Shapes Worksheets
• Unit Fraction of Numbers
• Halves and Quarters (up to 100)
• Fraction Number Line Sheets
• Adding Fractions with Like Denominators
• Subtracting Fractions with like denominators
• Fraction Riddles for kids (easier)

Year 4 Geometry Worksheets

The following worksheets will help your child to:

• Identify and name a range of 2d and 3d shapes;
• Draw 2d shapes;
• Use reflective symmetry to reflect shapes in a mirror line.
• recognise and identify right angles and lines of symmetry;
• recognise and identify parallel lines;
• identify the faces, edges, vertices and nets of 3d shapes;
• Year 4 Free Printable Geometry Worksheets
• Block Symmetry Worksheet
• Line Symmetry Worksheets
• Symmetry Activities
• Geometry Nets Information and Worksheets

Measurement Zone, including Time & Money

Year 4 measurement worksheets.

• Year 4 Measurement Worksheets - reading scales
• Metric Conversion Worksheets

Year 4 Money Worksheets

Using challenges is a great way to get kids to use their thinking skills and extend learning by applying the knowledge they have.

• count a range of coins up to £10
• compare money amounts
• apply their existing skills to puzzle out clues;
• understand money terminology;
• develop their thinking skills.
• Year 4 Money Challenges
• Column Addition Money Worksheets (UK)
• Column Subtraction Money Worksheets (UK)

Area and Perimeter Worksheets

• understand area and perimeter;
• learn how to find the area and perimeter of rectangles.
• Area Worksheets
• Perimeter Worksheets

Time Worksheets

Using the sheets in this section will help your child to:

• tell the time to the nearest 5 minutes;
• become familiar with both digital and analogue times;
• use the words 'past' and 'to' to describe the time correctly.
• add and subtract time intervals from times and work out time intervals.
• Add and Subtract Time Worksheets
• Elapsed Time Worksheets
• Printable Time Worksheets - Time Puzzles (easier)
• 24 Hour Clock Conversion Worksheets

On this page there are a selection of bar and picture graphs, including bar graphs with real-life data such as tree heights.

• Year 4 Bar Graph Worksheets (3rd grade)
• Year 4 Venn Diagram Worksheets

Fun Zone: Puzzles, Games and Riddles

Year 4 maths games.

The following games involve different Year 4 Maths activities which you and your child can enjoy together.

• Year 4 / Third Grade Math Games

Year 4 Math Puzzles

The puzzles will help your child practice and apply their addition, subtraction and multiplication facts as well as developing their thinking and reasoning skills in a fun and engaging way.

• Year 4 Math Puzzle Worksheets (3rd Grade)

Math Salamanders Year 4 Maths Games Ebook

Our Year 4 Maths Games Ebook contains all of our fun maths games, complete with instructions and resources.

This ebooklet is available in our store - use the link below to find out more!

• Year 4 Maths Games Ebook

Other UK Maths Worksheet pages

See below for our other maths worksheets hub pages designed for children in the UK.

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Year 4 – Multiplication and Division

Welcome to Year 4 Multiplication and Division at Primary Maths Hub. Here you will find a growing library of outstanding resources and activities to support multiplication and division lessons in Year 4 and at home.  

If there’s a resource you’d like to see here, just visit our ‘Request a Resource’ page and Primary Maths Hub will create the resource and add it to the site.

Do Now Tasks / Starters

Six Times Table Do Now Tasks

Seven Times Table Do Now Tasks

Eight Times Table Do Now Tasks

Nine Times Table Do Now Tasks 

Eleven Times Table Do Now Tasks

Twelve Times Table Do Now Tasks 

Mixed Times Table Do Now Tasks

Differentiated question sets.

Short Multiplication Question Set

Times tables strips.

Strips- 6 Times Table 

Strips- 7 Times Table

Strips- 9 Times Table 

Strips- 11 Times Table 

Strips- 12 Times Table 

Short multiplication.

Faded Scaffolding Strips –  Short Multiplication –  2 Times Table

Faded Scaffolding Strips –  Short Multiplication –  3 Times Table

Faded Scaffolding Strips –  Short Multiplication –  4 Times Table

Faded Scaffolding Strips –  Short Multiplication –  5 Times Table

Faded Scaffolding Strips –  Short Multiplication –  6 Times Table

Faded Scaffolding Strips –  Short Multiplication –  7 Times Table

Faded Scaffolding Strips –  Short Multiplication –  8 Times Table

Faded Scaffolding Strips –  Short Multiplication –  9 Times Table

 Short Multiplication

Faded Scaffolding Strips –  Short Multiplication

Short Multiplication –  3 Digit by 1 Digit

Short Multiplication –  3 Digit by 1 Digit –  2 Times Table

Short Multiplication –  3 Digit by 1 Digit –  3 Times Table

Short Multiplication –  3 Digit by 1 Digit –  4 Times Table

Short Multiplication –  3 Digit by 1 Digit –  5 Times Table

Short Multiplication –  3 Digit by 1 Digit –  6 Times Table

Short Multiplication –  3 Digit by 1 Digit –  7 Times Table

Short Multiplication –  3 Digit by 1 Digit –  8 Times Table

Short Multiplication –  3 Digit by 1 Digit –  9 Times Table

Short division.

Faded Scaffolding Strips –  Short Division

Faded Scaffolding Strips –  Short Division –  2 Times Table

Faded Scaffolding Strips –  Short Division –  3 Times Table

Faded Scaffolding Strips –  Short Division –  4 Times Table

Faded Scaffolding Strips –  Short Division –  5 Times Table

Faded Scaffolding Strips –  Short Division –  6 Times Table

Faded Scaffolding Strips –  Short Division –  7 Times Table

Faded Scaffolding Strips –  Short Division –  8 Times Table

Faded Scaffolding Strips –  Short Division –  9 Times Table

Short Division- 3 Digit by 1 Digit- 2 Times Tables 

Short Division- 3 Digit by 1 Digit- 4 Times Tables

Short Division- 3 Digit by 1 Digit- 3 Times Tables 

Short Division- 3 Digit by 1 Digit- 5 Times Tables 

Short Division- 3 Digit by 1 Digit- 6 Times Tables 

Short Division- 3 Digit by 1 Digit- 7 Times Tables 

Short Division- 3 Digit by 1 Digit- 8 Times Tables 

Short Division- 3 Digit by 1 Digit- 9 Times Tables 

Short Division- 3 Digit by 1 Digit- Mixed Times Tables 

Mixed multiplication and division, multiply and divide using know facts.

Multiply Using Known Facts to 10,000

Faded Scaffolding Strips- Multiply by Known Facts to 10,000

Divide Using Known Facts to 10,000

Faded Scaffolding Strips- Divide by Known Facts to 10,000 

Faded Scaffolding Strips- Multiply and Divide by Known Facts to 10,000 

Equality and inequality statements.

Equality and Inequality Statement Matching- Short Multiplication and Short Division

Equality and Inequality Statement Matching – Multiply 3 numbers

Problem solving.

Problem Solving- Multiplication Facts

Steps to success.

Short Multiplication – Steps to Success 

Short Division- Steps to Success 

Can't find what you are looking for.

2. Use different ways of multiplying numbers

Encourage your child to use lots of methods to multiply numbers, using their understanding of:

• Doubling and halving. For example, if we know 2 × 6 = 12 , then we also know 4 × 6 = 24 , 8 × 6 = 48 , and so on.
• Commutativity (i.e. knowing that we can complete multiplication sums in any order and reach the same answer). For example, if we know 2 × 6 = 12 , then we also know 6 × 2 = 12 .
• Inverse operations . For example, if we know 2 × 6 = 12 , then we also know 12 ÷ 2 = 6 and 12 ÷ 6 = 2 .
• Place value. For example, if we know 20 × 6 = 120 , then we also know 200 × 6 = 1200 , 2 × 0·6 = 1·2 , and so on.

Encourage your child to make a mind map of all the facts they know relating to the multiplication fact 2 × 6 = 12. They might be surprised by how much they can work out from that one calculation!

The area/grid method

Your child will be taught a range of methods to solve multiplication problems at school, such as using physical resources, drawings, and diagrams such as the area/grid method. Let’s take the example 65 × 74:

In the grid method, your child will partition (break apart) each number that is going to be multiplied. In this example, they partition each number into tens and ones – 65 is partitioned into 60 and 5, and 74 into 70 and 4. They will then find the product of each pair of numbers before adding all the values together:

70 × 60 = 4200 70 × 5 = 350 4 × 60 = 240 4 × 5 = 20   4200 + 350 + 240 + 20 = 4810

Your child will also be expected to use formal written methods like short multiplication. By practising lots of different ways of multiplying numbers, you help your child to gain confidence and flexibility in their thinking. This will let them pick the best method for any given situation.

3. Play the 1 to 21 game

You can help your child practise all four operations at home by playing the 1 to 21 game.

Ask them to roll a dice five times and record each number shown on the dice on a piece of paper. For example, 1, 4, 3, 5, 3. They then need to find a way to reach an answer of 1 using any operations (addition, subtraction, multiplication, and/or division) on the numbers.

Your child can only use each number once and they have to use at least two numbers in each calculation. For example, we could get the answer of 1 by calculating 3 ÷ 3, 5 – 4, 4 – 3, and so on. Then ask your child to find a calculation with the answer of 2 using any operation, then an answer of 3 and so on until they reach 21.

You could make this game even more challenging by saying that they have to use at least three, four, or even all five numbers to make it really tricky! Print out our activity sheet to have a go:

Activity: One to twenty-one

Find ways to make all the numbers 1 to 21.

4. Talk about factors and multiples

Try to help your child identify these and use these words when they talk about multiplication and division:

• Factors – a whole number that can be multiplied by another whole number to make a particular third whole number. For example, 1, 2, 3, 6, 9, and 18 are all factors of 18.
• Factor pairs – these are pairs of numbers that make up other numbers when multiplied together. For example, 6 and 3 are a factor pair of 18. Another factor pair of 18 is 9 and 2.
• Common factors – Common factors are the factors that are common to two numbers. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12. The factors of 8 are 1, 2, 4, and 8. So, the common factors of 12 and 8 are 1, 2, and 4.
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Year 4 | 12 Times Table Worksheets

Year 4 Autumn multiplication and division resources

Topic: multiplication and division (Autumn term)

These Year 4 | 12 Times Table Worksheets are designed to save you time with maths planning, following the 2023 White Rose progression.

Resources for our maths scheme – Maths Masters – include lesson presentations that model the learning, differentiated maths worksheets, practical maths activity cards,  assessments, revision mats and fully planned weekly lesson plans, varied fluency, problem solving and reasoning activities. Everything you need to help you save time with maths lesson preparation whilst providing pupils with engaging lessons that help them master maths learning.

Explore the rest of our year 4 multiplication and division resources .

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11 and 12 Times Table Lesson

This Year 4 11 and 12 Times Table lesson covers the prior learning of the 2 and 10 times table, before moving onto the main skill of using partitioning and known multiplication facts to multiply by 11 and 12.

The lesson starts with a prior learning worksheet to check pupils’ understanding. The interactive lesson slides recap the prior learning before moving on to the main skill. Children can then practise further by completing the activities and can extend their learning by completing an engaging extension task.

National Curriculum Objectives Mathematics Year 4: (4C6a) Recall multiplication and division facts for multiplication tables up to 12 × 12 Mathematics Year 4: (4C7)  Multiply two-digit and three-digit numbers by a one-digit number using formal written layout Mathematics Year 4: (4C8)  Solve problems involving multiplying and adding, including using the distributive law to multiply two digit numbers by one digit, integer scaling problems and harder correspondence problems such as  n  objects are connected to  m  objects

Get the most from lessons!

Resources for teachers

Interactive activities for children

2 Teaching Support

Lesson Slides

These lesson slides guides pupils through the prior learning of the 2 and 10 times table, before moving onto the main skill of 11 and 12 times table. There are a number of questions to check pupils' understanding throughout.

Modelling Powerpoint

This powerpoint can be used to model the questions that the children will complete on the Varied Fluency and Reasoning & Problem Solving worksheets as part of this lesson.

These are the same as the lesson slides on Classroom Secrets. You can assign this as an activity for pupils to access individually in school or remotely from home.

1 Prior Learning

Interactive Activity

This Year 2 The 2 Times Table Game checks pupils’ understanding of counting in 2s and applying this knowledge to the 2 times tables.

Flash Cards Activity

This 10 Times Table Game aims to support and develop recall of the 10 times table.

This 10 Times Table Memory Card Game aims to support and develop recall of the 10 times table.

2 Varied Fluency

This differentiated worksheet includes varied fluency questions for pupils to practise the main skill of this lesson.

This 12 Times Table Game aims to suport learners with multiplication by 12.

This 11 Times Table Game is designed to support learners with their multiplication by 11.

This Year 4 11 and 12 Times Table Game checks pupils’ ability to recall multiplication and division facts.

2 Reasoning & Problem Solving

This differentiated worksheet includes reasoning and problem solving questions to support the teaching of this step.

Mixed Practice

This worksheet includes varied fluency, reasoning and problem solving questions for pupils to practise the main skill of 11 and 12 times table.

Discussion Problem

This worksheet includes two discussion problems which can be used in pairs or small groups to further pupils' understanding of the concepts taught in this lesson.

Interactive Challenge Activity

This Year 4 11 and 12 Times Table Maths Challenge checks pupil’s multiplication and division skills.

This differentiated worksheet includes varied fluency and reasoning and problem solving questions to support the teaching of this step.

2 Additional Activities

Free 11 and 12 Times Tables Year 4 Multiplication and Division Learning Video Clip

A Viking clan, led by Estrid, is setting sail from Scandinavia. They are travelling across the North Sea to England. Pupils will help Estrid calculate how many Vikings can fit on each longship and how many pieces of equipment can be taken on the journey. Children will also assist two other Vikings who are playing a mystery number game to pass the time on the longship.

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Consolidation Pack

This Multiplication and Division Consolidation Year 4 resource will help your pupils consolidate their understanding of Spring Block 1: Multiplication and Division. This resource is themed around giving children the chance to help run a museum. The questions in this pack will help you identify children working at the expected level.

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MTC: Multiplication Tables Check Year 4, Key Stage 2

Practice times tables test for y4, ks2, take an mtc practice test.

25 questions. 6 seconds per question. 3 seconds between questions.

You scored: /

Marked Questions

The mtc: who and how.

From the 2019/2020 academic year, all children in Year 4 in English state schools (aged 8-9) will sit the new Multiplication Tables Check (MTC).

The test will be taken in June each year.

Children will take the times tables test on a computer or tablet.

The Department for Education published their MTC framework and this site follows their formulas to create practice tests.

The questions are delivered at the same pace as the official MTC.

How to Practise for the Y4 Multiplication Tables Check (MTC)

The best way to practise for a standardised test is to take 'practice tests' that mimic the real thing as closely as possible.

Practise until you're un-phased by the format and can do yourself justice.

The tests on this page are ideal for practice.

BUT if you don't already know your times tables pretty well these practice tests won't help you to learn them.

They will, however, show you which multiplication tables you're shakey on, so that you can practise them separately .

How to Learn your Times Tables (Multiplication Facts)

Before you start practicing for your MTC, it's a good idea to learn your times tables... properly!

There's only one way to learn times tables, and that's by repetition - i.e. practicing!

If you don't use your times tables every day for the maths you're learning in school, you'll need to repeatedly recall your multiplication facts daily or weekly from now until you take the test.

There are many ways to go about learning your times tables, for example using flash cards, youtube songs, multiplication games, or my out-and-out favourite method:

Singing each times table with the absolute minimum of faff .

Using the catchy chants from Talking Times Tables you can recite each times table in less than 15 seconds.

It's fast, it's efficient, and it gets practice over with very quickly so that you can get on with your day!

You can try it for yourself here .

How the MTC Questions are Chosen: The MTC Framework

Each test will have:

• A total of 25 questions.
• No reversals (e.g if 4x3 is on the test, then 3x4 will not be).
• No questions from the 1 times table (e.g. not 1x7 or 7x1).
• Up to 2 questions from each of the 2 and 10 times tables.
• Between 1 and 3 questions from each of the 3, 4, 5 and 11 times tables.
• Between 2 and 4 questions from each of the 6, 7, 8, 9 and 12 times tables.

Children will have:

• 6 seconds to answer each question.
• 3 seconds between each question.

Please note: The MTC Framework considers the first number in the sum to be the times table, and the second number to be the multiple.

i.e. <times table> x <multiple>

So 7x4 comes from the 7 times table (not the 4 times table).

If you recite times tables, you might think of it the other way around: 1x7=7,  2x7=14 etc

The numbers of questions listed above refer to how many times a number can appear as the first number in the sum.

(e.g. "Between 2 and 4 questions from the 7 times table" means there should be between 2 and 4 questions that begin 7x...)

There are more rules, relating to how many KS1 (2, 5 and 10 times tables) level questions can be included overall, and how many times each multiple (the second number) can appear. The practice tests on this site follow all of the rules. You can read the published framework here: Department for Education: Multiplication tables check assessment framework .

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20 Word Problems For Year 4: Develop Their Problem Solving Skills Across Single and Mixed KS2 Topics

Emma Johnson

Word problems for Year 4 play an important role in Year 4 maths. In Year 4, the main focus is to ensure that pupils are becoming more fluent with whole numbers and the four operations. Students work to develop efficient written methods and to be accurate with their calculations. Pupils in Year 4 are exposed to a wider range of problem-solving questions and progress from one to two-step problems.

It is important that all children are given regular opportunities to access reasoning and word problem style questions. Fluency, reasoning and problem solving should be intertwined through every lesson, with all children having the opportunity to tackle each of these question types. 

All Kinds of Word Problems Multiplication

Strengthen your students' problem solving and multiplication skills with this pack of multiplication word problems

Place value 

Addition and subtraction , multiplication and division, fractions, decimals and percentages, measurement, why are word problems important in year 4 maths, how to teach problem solving in year 4, addition word problems for year 4, subtraction word problems for year 4, multiplication word problems for year 4, division word problems for year 4, fraction and decimal word problems in year 4, time word problems in year 4, multi-step word problems in year 4., more primary word problems resources.

There can sometimes be a tendency for reasoning and problem solving questions to be treated as extension activities for only the higher attaining pupils to attempt, but children of all abilities need to be accessing them on a regular basis.

To help you with this, we have put together a collection of 20 word problems aimed at Year 4 pupils. For more Year 4 maths resources, take a look at our collection of Year 4 maths worksheets .

Year 4 Maths Word Problems in the National Curriculum

In Year 4, pupils progress from solving one-step problems, to also being exposed to two-step problems across a range of topics, as set out in the National Curriculum.

Solve word problems involving counting in multiples of 6,7,9, 25 and 100; finding 1000 more or less than a given number; counting backwards through 0 to include negative numbers; ordering and comparing numbers beyond 1000 and rounding numbers to the nearest 10. 100 and 1000

Solve addition and subtraction word problems with up to 4 digits, including two-step word problems, deciding which operations and methods to use and why.

Solve problems involving multiplying and adding, including using the distributive law to multiply two-digit numbers by 1 digit, integer scaling problems and harder correspondence problems.

Solve problems involving increasingly harder fractions word problems to calculate quantities, and fractions to divide quantities, including non-unit fractions where the answer is a whole number. Also Solve simple measure and money problems involving fractions and decimals to 2 decimal places.

Solve problems involving converting from hours to minutes, minutes to seconds, years to months, weeks to days.

Solve comparison, sum and difference problems using information presented in bar charts, pictograms, tables and other graphs.

Word problems are increasingly important as pupils move through Key Stage 2. As they become more confident with some of the core concepts pupils need to be applying this knowledge to a range of situations. By the end of Year 4, pupils should have memorised their multiplication tables up to and including the 12 times table and should be showing precision and fluency in their work.

Word problems in Year 4 should be fun and engaging for students. There are many ways to do this, including:

• acting out the problem;
• using manipulatives and visual images to help children understand the maths within the problem;
• use of talk partners to encourage children to discuss the question and share strategies for reaching a solution;
• using relatable problem solving situations.

Children need to be encouraged to read word problem questions carefully, to ensure they have identified the key information needed to be able to solve the problem. Pupils need to think about what they already know and how that information can help them to answer the question. They should also be encouraged to draw pictures and visual images, where appropriate, to help them to understand what the question is asking.

Here is an example:

A shop has an 8m roll of fabric.

The first customer buys 125cm of fabric and the second customer buys 3m from the same roll.

How much fabric is left on the roll, once the two customers have taken theirs?

How to solve:

What do you already know?

• The amount the first customer buys is given in cm, the amount the second customer buys is given in m. These needed to be converted to the same unit.
• Pupils in Year 4 need to be able to convert cm to m and vice versa. In this question, both the cm can be given as m or the m changed to cm to solve it.
• Once the units are the same, the two amounts need to be added together, to work out the total amount bought by the two customers.
• We can see this is a two-step question. To calculate how much fabric is left on the roll, the total amount bought by the two customers needs to be subtracted from the initial amount of fabric on the roll.

How can this be drawn/represented pictorially?

We can draw a bar model to represent this problem:

• To calculate the total amount of fabric bought, we need the units to be the same. We can either calculate in cm (300cm + 125cm = 425cm) or in m (3m + 1.25m = 4.25m)
• The amount of material bought needs to be subtracted from the original amount. This can again be solved in m or cm. Either in m: 8m – 4.25m = 3.75m or in cm: 800cm – 425cm = 375cm
• The total amount of material left is 3.75m or 375cm

In Year 4, addition word problems involve questions up to 4-digit numbers. They can include one and two-step addition and incorporate a range of concepts, such as measures and money word problems  

Addition question 1

It is 4164 miles to travel from London to Doha and 3266 miles to travel from Doha to Bangkok.

How far is it to travel from London to Bangkok, if the flight stops in Doha first?

Answer (1 mark): 7430 miles

Addition question 2

Fill in the missing numbers in this calculation.

Answer (1 mark): 6840

Addition question 3

On Saturday, 5486 fans attended a football game and 3748 fans attended a rugby game.

How many fans watched the two games in total?

Answer (1 mark): 9234

Subtraction word problems in Year 4, also involve numbers up to 4-digits, including both one and two-step problems, covering a range of concepts. By this stage, children should be confident in estimating and using the inverse, to check calculations.

Subtraction question 1

3241 people visited the zoo on Saturday.

On Sunday 2876 people visited.

How many more people visited the lake on Saturday than on Sunday?

Answer (1 mark): 365

 3241 – 2876 = 365

Subtraction question 2

 A teacher prints out 1242 worksheets in a term.

If 435 were maths worksheets, how many did she print out for the other subjects?

Answer (1 mark): 807

Subtraction question 3

The temperature in Toronto dropped to minus 15 degrees celcius in December. 

In July the temperature was 47 degrees celsius warmer than it was in December. What was the temperature in July? 

Answer (1 mark): 32 degrees warmer

47 – 15 degrees = 32 degrees celsius

Counting on 47 degrees from minus 15 degrees  = 32 degrees celsius

In Year 4, multiplication word problems can include recalling facts for times tables up to 12 x 12 and multiplying two and three-digit numbers by a 1-digit number, using formal written layout.  

Multiplication question 1

All the pupils in Year 4 complete a mental maths test.

27 pupils score 9 marks out of 10.

What is the total number of marks scored by the 27 pupils?

Answer (1 mark): 243

27 x 9 = 243

Multiplication question 2

Year 3 and 4 children from a local primary school go on a school trip. 

Six mini buses are used to transport the children.

 There are 17 children on each minibus.

How many children go on the school trip?

Answer (1 mark): 102

17 x 6 = 102 children

Multiplication question 3

Biscuits come in packs of 18.

Mrs Smith buys 8 packs for the parents at the Y4 maths workshop.

How many biscuits does she buy altogether?

Answer (1 mark): 144 biscuits

Division word problems in year 4 require pupils to be able to recall division facts for multiplication tables up to 12 x 12. Formal written method of division isn’t a requirement until Year 5 however, many schools choose to teach the formal method in Year 4. Pupils need to understand the concept of grouping and sharing and to understand the link between multiplication & division.

Division question 1

Sam has 28 friends coming to his birthday party.

Each child will receive a cupcake, which come in packs of 4.

How many packs of cupcakes will Sam need to buy?

Answer (1 mark): 7 packs

28 ÷ 4 = 7 

Division question 2

4 children raised £96 between them on a sponsored walk.

If they split the money evenly between the four of them, how much did each pupil raise?

Answer (1 mark): £24 each

96 ÷ 4 = 24

Division question 3

Ahmed is thinking of a number

He says, ‘when I divide my number by 12, the answer is 108.

What number was Ahmed thinking of?

Answer (1 mark): 9

108 ÷ 12 = 9

In Year 4, decimal and fraction problems involve increasingly harder fractions to calculate quantities and fractions to divide quantities, including non-unit fractions, where the answer is a whole number. Decimal word problems include measure and money problems involving fractions and decimals up to 2 decimal places.

Fraction and decimal question 1

Jamie has 18 sweets. 

He gives \frac{1}{6} of the sweets to his friend and keeps the rest himself.

How many sweets does Jamie have now?

Answer (1 mark): 15 sweets

\frac{1}{6} of 18 = 3

18 – 3 = 15

Fraction and decimal question 2

Jaxon collected 36 conkers. 

\frac{1}{4} of the conkers fell out of a hole in his bag, when he was walking home.

How many conkers did Jaxon have left, when he got home?

\frac{1}{4} of 36 = 9

36 – 9 = 37      or      \frac{3}{4} of 36 = 29 (3 x 9)

Fraction and decimal question 3

Sara ate \frac{3}{12} of a chocolate bar and gave \frac{2}{12} to her friend.

What fraction of the chocolate bar did she have left? 

 Answer (1 mark): \frac{7}{12}

In Year 4, time word problems include: converting from hours to minutes, minutes to seconds, years to months and weeks to days.

Time question 1 

A cake was put in the oven at 4:35pm and taken out at 4:57pm.

How long was the cake in the oven?

Answer (1 mark): 22 minutes

57-35 = 22 minutes

Using an number line: 

Time question 2

It took Evie 25 minutes to complete a page of number problems. 

If she started at 2:45pm. What time did she finish?

Answer (1 mark): 3:10pm

In Year 4, children are introduced to multi-step word problems requiring up to two steps. These problems cover a range of concepts, including the four operations, fractions, decimals and measures.

Third Space Learning’s online one-to-one tutoring frequently incorporates multi-step questions to test students’ knowledge and problem solving skills. Our personalised tutoring programme works to identify gaps in students’ learning, fill those gaps, reinforce students’ knowledge and build confidence.

Multi-step question 1

There are 6 handwriting pens in each pack.

A class has 30 children and each child needs 2 handwriting pens.

How many packs will the teacher need to buy?

Answer (2 marks): 10 packs of handwriting pens.

30 x 2 = 60

Multi-step question 2

 Sophie has £4.50.

She buy 3 books at a carboot sale, costing 50p, 65p and £1.20.

How much money does she have left?

Answer (2 marks): £2.15 left

Multi-step question 3

Abullah is thinking of a number.

He doubles the number and adds 7.

He gets an answer of 25. 

What was his original number?

Answer (2 marks): 9

Third Space Learning offers word problems for all primary year groups. Take a look at our word problems for year 3 , word problems for year 5 and word problems for year 6 . Our word problems span a range of topics such as ratio word problems and percentage word problems .

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NCETM - Year 4 - Unit 4 - 3, 6 and 9 times table - UNIT OF WORK

Subject: Mathematics

Age range: 7-11

Resource type: Unit of work

Last updated

10 January 2024

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You will be downloading a Powerpoint for a series of lessons that cover the following objectives, stated by the NCETM for Year 4:

1 Pupils represent counting in threes as the three times table 2 Pupils explain the relationship between adjacent multiples of three 3 Pupils use knowledge of the three times table to solve problems 4 Pupils represent counting in sixes as the six times table 5 Pupils explain the relationship between adjacent multiples of six 6 Pupils use knowledge of the six times table to solve problems 7 Pupils use known facts from the five times table to solve problems involving the six times table 8 Pupils explain the relationship between multiples of three and multiples of six 9 Pupils use knowledge of the relationships between the three and six times tables to solve problems 10 Pupils represent counting in nines as the nine times table 11 Pupils explain the relationship between adjacent multiples of nine (1) 12 Pupils explain the relationship between adjacent multiples of nine (2) 13 Pupils use known facts from the ten times table to solve problems involving the nine times table 14 Pupils explain the relationship between multiples of three and multiples of nine 15 Pupils explain the relationship between pairs of three and nine times table facts that have the same product (1) 16 Pupils explain the relationship between pairs of three and nine times table facts that have the same product (2) 17 Pupils use the divisibility rules for divisors of three 18 Pupils use the divisibility rules for divisors of six (1) 19 Pupils use the divisibility rules for divisors of six (2)

The learning objectives of the lessons included in the unit of work are:

1: Identify the multiplier and multiplicand 2: Count in and multiply by 3 3: Count in and multiply by 6 4: find the relationship between 3 and 6 times tables 5: count in and multiply by 9 6: Find links between the 3, 6 and 9 times table 7: Find links between the 3, 6 and 9 times table 8: Identify numbers divisible by 3, 6 and 9 times table. 9: Multiply 3 digit numbers together.

Each lesson follows the structure and has a slide for each step: Revisit Address misconceptions Vocabulary Focus Guided practice Talk task Deepen Independent Practice Next Step

Lessons come with accompanying worksheets that are structured into Fluency, Problem-solving and Reasoning tasks. Lessons are also accompanied by next steps which can be stuck into books.

The planning is heavily inspired by the NCETM but I have broken the lessons down into my own PowerPoints to ensure the steps taught are very small so all can access. This unit takes on a mastery approach to teaching maths and has been highly effective in my own classroom.

Included within the powerpoints are visual representations, small tasks for a ping-pong approach, stem sentences, high-level mathematical vocabulary, now/next/last visuals for SEN learners. #ncetm #unit4 #year4 #mathsmastery =stemsentences #timestables

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DU Professor Helps Solve Famous 70-Year-Old Math Problem

Jordyn reiland.

[email protected]

Assistant Professor Mandi Schaeffer Fry is the first faculty member to be published in the Annals of Mathematics since the 1880s.

University of Kaiserslautern Professor Gunter Malle, University of Denver Assistant Professor Mandi Schaeffer Fry and University of Valencia Professor Gabriel Navarro pose for a photo after announcing their theorem in Oberwolfach, Germany.

Whether it be flying trapeze, participating in competitive weightlifting or solving math problems that have confounded academics for decades, Mandi Schaeffer Fry enjoys chasing the next adventure.

Schaeffer Fry, who joined the University of Denver’s Department of Mathematics in the fall of 2023, will be the first faculty member since the 1880s to be published in the Annals of Mathematics , widely seen as the industry’s most prestigious journal.

In 2022, Schaeffer Fry helped complete a problem that dates to 1955—mathematician Richard Brauer’s Height Zero Conjecture.

“Maybe one of the most challenging parts, other than the math itself, was the knowledge of the weight that this would have on the field,” Schaeffer Fry says. “If you’re going to make an announcement like this, you have to be darn sure that it’s absolutely correct.”

Over the years, number crunchers have worked on the problem at universities across the globe, and some found partial solutions; however, the problem was not completed until now.

“Mandi’s accomplishment is exciting. Solving Brauer's Height Zero Conjecture is remarkable,” Mathematics Department Chair Alvaro Arias says. 

The work is also a testament to DU’s achievement as a Research 1 (R1) institution.

Fry and her collaborators—University of Kaiserslautern Professor Gunter Malle, University of Valencia Professor Gabriel Navarro and Rutgers University Professor Pham Huu Tiep—worked around the clock over the course of three months in eight-hour shifts during the summer of 2022 to find a solution.

In April, that work was accepted for publication in the Annals of Mathematics.

'Brauer's Height Zero Conjecture (BHZ) was the first conjecture leading to the part of my field studying 'local-global' problems in the representation theory of finite groups, which seek to relate properties of groups with properties of certain nice smaller subgroups, letting us 'zoom in' on the group using just a specific prime number and simplify things," Schaeffer Fry says. 

"The BHZ gives us a way to tell from the character table of a group (a table of data that encodes lots, but not all, information about the group) whether or not certain of these subgroups, called defect groups, have the commutativity property," she adds.

This paper was especially meaningful to Schaeffer Fry as she had always wanted to work with Malle, Tiep and Navarro as they have been her primary mentors. Tiep was her PhD advisor and this was the first time they had worked together since then.

Fry believes she has solidified her place in the field and knows she’ll likely never top this accomplishment, but she’s always looking for the next adventure—whether that’s in or out of the classroom.

Flying high and pumping iron

When Schaeffer Fry isn’t on DU’s campus working with students or conducting research, you can find her flying trapeze and competitive weightlifting.

Schaeffer Fry became involved in competitive weightlifting during graduate school, and, in the last year of her PhD at the University of Arizona, she defended her dissertation one day and got on a plane and competed at the national level for “university-aged” athletes—which included Olympians.

While she now lifts weights more casually, Schaeffer Fry competed last September in an over-35 competition and qualified for the USA Weightlifting Masters National Championships.

It was a “field trip” during a conference in Berkeley, California, in 2018 that led Fry to become enamored with flying trapeze.

In fact, she enjoyed it so much she signed up to be a member of Imperial Flyers, an amateur flying trapeze cooperative located in Westminster. Once she found out about the sport, her previous experience as a gymnast made it a natural fit.

Not only is she working on her own intermediate tricks, she’s also a “teaching assistant” at Fly Mile High, the state’s only flying trapeze and aerial fitness school.

“It’s exhilarating; it’s gotten me a bit over my fear of heights,” she says.

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