maths problem solving year 3 and 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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20 Word Problems For Year 3: Develop Their Problem Solving Skills Across Single and Mixed KS2 Topics

Emma Johnson

Word problems for Year 3 are an important tool for improving number fluency. The key focus in maths in Year 3 of primary school is on ensuring pupils are becoming more fluent with number facts and the concept of place value. Children are starting to develop more efficient written methods by this stage and are beginning to carry out calculations with increasingly larger whole numbers.

As children progress through school, they are exposed to a wider variety of problem solving questions covering a range of concepts. In Year 3 maths these include the four operations, fractions, measures and statistics.  

It is important that children are regularly exposed to reasoning and problem solving questions, alongside the fluency work each lesson. It is also important to remember that all children need exposure to reasoning and problem solving questions, not just the higher attaining pupils who finish quickest.

We have put together a collection of 20 word problems, aimed at Year 3 pupils.

Years 3 to 6 Rapid Reasoning (Weeks 1-6)

Download this free pack of word problems to improve your class' problem solving skills. Includes questions for Years 3 - 6.

Place value

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In Year 3, pupils focus on one-step problems, covering a range of topics across the National Curriculum. At this stage the majority of word problems pupils are tackling will have one-step, but they may also start to be introduced to simple two-step word problems. Here is a breakdown of topics that will be covered and expectations in Year 3. 

Solve number problems and practical problems involving recognising the place value of each digit of a 3-digit number; comparing and ordering numbers up to 1000 and identifying, representing and estimating numbers using different representations.

Solve problems, including missing number problems, using number facts, place value and more complex addition and subtraction word problems .

Solve problems, including missing number problems, involving multiplication and division, including positive integer scaling problems and correspondence problems

 Solve problems involving counting in tenths; recognising unit and non-unit fractions; recognising equivalent fractions and adding/ subtracting fractions with the same denominator.

Solve problems involving length, volume and mass; adding and subtracting within money word problems ; perimeter and problems involving time.

Solve-step and two-step questions (For example, ‘How many more?’ and ‘How many fewer’?) using information presented in scaled bar charts, pictograms and tables.

By Year 3, children are starting to learn how to use some of the formal written methods of addition and subtraction. It is important that the link between maths in school and maths in real-life continues to be made. Word problems are a key element in helping pupils to make this link. 

When teaching maths problems to Year 3, it’s important to think of ways to make them fun, engaging and something the children are able to relate to. This might include acting out the problem, using concrete resources and providing visual images, to bring the problems to life. 

Benefits of pairs, groups and class discussion 

Children should have plenty of opportunity to talk in pairs, groups and as a whole class, to share their understanding of what is being asked and their strategies for solving the problem. As with Key Stage One, the use of manipulatives is important and all children should have access to a range of maths resources when solving problems like this.

Pupils need to be encouraged to read word problems carefully and to make sure they understand what is being asked, before attempting to tackle the problem. This is where the use of a partner and group discussion can really help children’s understanding. Students then need to think about what they already know and how they can use this to help them answer the question. Where appropriate, pupils should also be encouraged to draw diagrams and pictures to help them solve the question.

Here is an example:

Mason needs 4 apples to make an apple pie.

If he has 28 apples. How many apple pies can he make?

How to solve:

What do you already know?

• We know 4 apples are needed to make an apple pie.
• We are told how many apples Mason has in total, so we must have to divide the total number by 4.
• In year 3, children should be building confidence with multiplication and division facts for the 4 times table, so some will be able to quickly recall these facts to solve the problem.
• Children who aren’t apple to recall quickly could use counters to represent the apples, or draw a bar model to help solve it.

How can this be drawn/represented pictorially?

We can draw a bar model or counters to represent this problem:

• To calculate how pies the 28 apples will make, we can either use or draw 28 counters and put them into groups of 4. We can see that 28 counters will make 7 groups of 4.
• Using the bar model, we can keep adding 4 to the bar until we reach 28. From the bar we can see that 7 x 4 = 28.
• 7 apple pies can be made from the 28 apple pies that Mason has.

In Year 3, pupils are exposed to a range of addition word problems , including problems involving mental addition and addition of up to 3-digits using formal written methods.

See also: Mental maths Year 3

Addition question 1

A family driving on holiday, travel 146 miles from home to the first service station.

They then drive a further 175 miles to reach their destination.

How far have they travelled altogether?

Answer (1 mark): 321 miles

146 + 175 = 321

Addition question 2

Evie is buying a bottle of drink from a vending machine. She has put in 40p. The vending machine shows she still needs to put in £1.25. 

How much is the bottle of drink?

Answer (1 mark): £1.65

125p + 40p = 165p

Addition question 3

Jamie scored 643 on his new online game.

Jared scored 468.

How many points did they score between them?

Answer (1 mark): 1111 points

643 + 468 = 1111

At Third Space Learning we often tie word problems into our one-to-one online tuition. With each programme personalised to the needs of each individual student, children are able to develop their problem solving skills, maths fluency and grow confidence in maths.

Subtraction word problems in Year 3 also need to comprise of a combination of mental calculation questions and those involving formal written subtraction up to 3-digits. Children should also be starting to estimate answers and check their calculations by using the inverse.

Subtraction question 1

Ahmed collects 374 stickers.

He needs 526 stickers to fill his sticker album.

How many more stickers does he need to collect?

Answer (1 mark): 152 stickers

526 – 374 = 152

Subtraction question 2

 A bag of carrots weigh 360g

A bag of tomatoes weighs 235g.

How much heavier is the bag of carrots?

Answer (1 mark): 125g

360 – 235 = 125

Subtraction question 3

 Ahmed buys a bag of sweets for £1.45.

He has a £2 coin. How much change will he get?

Answer (1 mark): 55p

200 – 145 or count up from £1.45 to £2

By the end of Year 3, pupils should be able to recall and use multiplication facts for the 3, 4 and 8 times table. They should also be starting to progress to using the formal written method for solving multiplication word problems involving 2 digits multiplied by a 1-digit number. 

Multiplication question 1

It costs £7 for a cinema ticket

Amber’s mum pays for Amber and her 3 friends. 

How much does she pay for all the tickets?

Answer (1 mark): £28

7 x 4 = 28 

Multiplication question 2

5 mini buses are used to take Year 3 pupils on a school trip.

Each minibus transports 15 children.

How many children go on the school trip?

Answer (1 mark): 75 children

15 x 5 = 75

Multiplication question 3

There are 24 questions on a word problems worksheet. 

A group of 8 children each complete the worksheet.

How many questions will the teacher be marking?

Answer (1 mark): 112 questions

24 x 8 = 112

In Year 3, pupils will need to learn the division facts for the 3, 4 and 8 multiplication tables. At this stage, pupils are required to learn the formal method for division, division word problems will involve mainly mental calculations.

Division question 1

6 children share 18 cookies between them. 

How many cookies does each child get?

 Answer (1 mark): 3 cookies

Division question 2

The school choir needs to travel to the concert hall.

There are 32 children in the choir and parents have been asked to help transport the children.

Each parent is able to take 4 children in their car. How many cars will be needed to get all the children to the concert?

Answer (1 mark): 8 cars

 32 ÷ 4 = 8

Division question 3

 Cakes come in packs of 4.

If Jessica needs 36 cakes for her party, how many packs does she need to buy?

Answer (1 mark): 9 packs

In Year 3 pupils are exposed to a range of fraction word problems , including questions involving counting up and down in tenths; equivalent fractions and adding/subtracting fractions with the same denominator.

Fraction question 1

Jude had 28 sweets.

He gave \frac{1}{4} of his sweets to his little sister.

How many did he have left?

Answer (1 mark): 21 sweets

\frac{1}{4} of 28 = 7

\frac{3}{4} of 28 = 21 or 28 – 7 = 21

Fraction question 2

Khalifa ate \frac{2}{8} of the chocolate bar and Abdulrahman ate \frac{3}{8} of it.

How much chocolate did they have left?

Answer (1 mark): \frac{3}{8}

\frac{2}{8} + \frac{3}{8} = \frac{5}{8} eaten

\frac{8}{8} – \frac{5}{8} = \frac{3}{8}

Fraction question 3

 Molly ate half of a pizza and Rosie ate \frac{3}{6} .

Who ate the most?

Answer (1 mark): They both ate the same amount

\frac{3}{6} is equivalent to \frac{1}{2} .

In Year 3 time word problems may be incorporated into maths problem solving. Students are expected to know time vocabulary, be able to compare time in terms of seconds, minutes and hours and know how many seconds are in a minute and minutes are in an hour. 

Time question 1

The Smith family are driving to the beach.

They leave at 9:05am and arrive at 9:50am.

How long does the journey take them?

Answer (1 mark): 45 minutes

50 – 5 = 45    or     count up from 9:05 to 9:50 = 45 

Time question 2

Holly puts her cake in the oven at 4:22pm and takes it out again at 4:47. 

How long is the cake baking for?

Answer (1 mark): 25 minutes

47 – 22 = 25    or   count up from 4:22 to 4:47

When children first move into lower Key Stage 2, word problems are predominantly one-step. As they become more confident they can be exposed to more word problems, requiring a second step or multi-step word problems .

Multi-step question 1

Oliver had 3 bags of sweets.

Each bag contained 15 sweets.

If he shared the sweets between him and 4 friends, how many sweets would they all 5 of them get?

Answer (2 marks): 9 sweets

3 x 15 = 45 

45  ÷ 5 = 9

Multi-step question 2

A teacher photocopies 95 maths worksheets and 80 English worksheets in one week.

Teachers can print a maximum of 300 worksheets per week. 

How many can the teacher print for other subjects.

Answer (2 marks): 125 worksheets

 95 + 80 = 175

300 – 175 = 125

Multi-step question 3

Three friends go trick or treating. They add all their sweets together and share them out, so they all have an equal number of sweets.

If Ben gets 34 sweets, Sophie gets 28 and Maisie gets 22 sweets. How many will they each get, once they have put them together and shared them out?

Answer (2 marks): 28 sweets each

34 + 28 + 22 = 84 sweets

84  ÷ 3 = 28

We hope that this collection of word problems for Year 3 becomes a useful resource in your Year 3 maths classroom. For more Year 3 maths resources, take a look at our library of Year 3 maths worksheets .

Third Space Learning also offers a wide array of maths and word problems resources for other year groups such as word problems for year 6 , word problems for Year 5 and word problems for year 4 . Our practice word problems cover all four operations and include more specific topics such as percentage word problems and ratio word problems .

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Reasoning/Problem Solving Maths Worksheets for Year 4 (age 8-9)

This category is all about children choosing the most appropriate method to achieve a quick and accurate answer and to be able to explain their methods and reasoning.

Problem solving: finding the missing digits in 4-digit numbers. Tricky!

Problem solving: finding the values of missing counters. Logical thinking and careful work needed here!

Reasoning about numbers on a number line and rounding numbers.

More reasoning about number and place value.

Not only do the questions have to be answered, but explanations given. These pages really show how well children understand what they are doing.

More written explanations on which operation to use and whether the question should be done mentally or on paper.

Lots of questions, most of which can be done mentally. The important thing is to explain how they were tackled.

Decide which operation is needed (add, subtract, multiply, divide) and whether a calculator, or pencil and paper are needed, or whether it can be done, 'in your head'.

Solving problems

A selection of problem solving activities and word problems.

Here are some problems written in words. Fairly straightforward as they require just one mathematical step to work out the answer

Some word problems that need at least two steps to find the answer. This makes them much harder, so careful thinking is needed.

5 pages of word problems, all involving money. Some are suitable for calculator work as they are specially written to make the process the most important factor: it is no use having a calculator if you don't know what calculation to carry out!

A range of number and money problems, typical of those found in KS2 test papers.

More number and money problems, typical of those found in KS2 test papers.

Tricky word problems involving time and money.

More word problems; this time on measurement of length, mass and capacity. These really test children's understanding of when to use addition, subtraction, multiplication or division to solve a problem.

Time problems are especially tricky, especially when finding lengths of time that cross the hour boundary. A good knowledge of the number of days in each month is also needed.

Not many problems on a page, but there is an awful lot within each question. Each is a mini investigation, which can be explored in depth.

Number patterns, remainders, number machines and much more in this mixed selection of problems.

Working out the missing value.

More working out missing values.

Using the instructions on the packet what is the maximum number of bulbs that can be grown in the garden?

Using the instructions on the packet what is the maximum number of seeds that can be sown in the garden?

Using the instructions on the packet what is the maximum number of vegetables that can be grown in the garden?

An addition challenge suitable for year 4 on.

The fish are all called numbers. Can you work out their names by solving the clues?

Investigations

More open ended activities where children choose the approach to the task.

Making rules for sequences is an early step towards understanding algebra, and an important part of Year 5 maths. More 'How would you...?' type questions as well.

How many different three course meals can Sam choose?

Investigate patterns made by placing consecutive numbers in a number square.

A great little investigation which has plenty of extension possibilities.

Fun addition investigation using the date: 22.02.2022.

Some thoughts on how important this area of maths is.

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Number and algebra

• The Number System and Place Value
• Calculations and Numerical Methods
• Fractions, Decimals, Percentages, Ratio and Proportion
• Properties of Numbers
• Patterns, Sequences and Structure
• Algebraic expressions, equations and formulae
• Coordinates, Functions and Graphs

Geometry and measure

• Angles, Polygons, and Geometrical Proof
• 3D Geometry, Shape and Space
• Measuring and calculating with units
• Transformations and constructions
• Pythagoras and Trigonometry
• Vectors and Matrices

Probability and statistics

• Handling, Processing and Representing Data
• Probability

Working mathematically

• Thinking mathematically
• Mathematical mindsets
• Cross-curricular contexts
• Physical and digital manipulatives

For younger learners

• Early Years Foundation Stage

Advanced mathematics

• Decision Mathematics and Combinatorics
• Advanced Probability and Statistics

Problem Solving

Problem Solving and the New Curriculum   Age 5 to 11

Developing a Classroom Culture That Supports a Problem-solving Approach to Mathematics   Age 5 to 11

Developing Excellence in Problem Solving with Young Learners   Age 5 to 11

Using NRICH Tasks to Develop Key Problem-solving Skills   Age 5 to 11

Trial and Improvement at KS1   Age 5 to 7

Trial and Improvement at KS2   Age 7 to 11

Working Systematically - Primary Teachers   Age 5 to 11

Number Patterns   Age 5 to 11

Working Backwards at KS1   Age 5 to 7

Working Backwards at KS2   Age 7 to 11

Reasoning   Age 5 to 11

Visualising at KS1 - Primary Teachers   Age 5 to 7

Visualising at KS2 - Primary Teachers   Age 7 to 11

Conjecturing and Generalising at KS1 - Primary Teachers   Age 5 to 7

Conjecturing and Generalising at KS2 - Primary Teachers   Age 7 to 11

• Mathematical Problem Solving in the Early Years
• Low Threshold High Ceiling - an Introduction
• What's All the Talking About?
• Group-worthy Tasks and Their Potential to Support Children to Develop Independent Problem-solving Skills
• Developing the Classroom Culture: Using the Dotty Six Activity as a Springboard for Investigation

All Home Learning Lessons, Y3 & Y4

There are links on this page to all of the home learning tasks for y3 and y4. the lessons will be available for the rest of 2020. i hope you are challenged and inspired.

Addition and Subtraction

Tasks, Y3 & Y4, 3 Consecutive Numbers

Tasks, Y3 & Y4, 3 Numbers Challenge

Tasks, Y3 & Y4, Spot the Difference

Tasks, Y3 & Y4, Boys, Girls, Children

Tasks, Y3 & Y4, Different Stories

Tasks, Y3 & Y4, Shape Puzzles Part 1

Tasks, Y3 & Y4, Shape Puzzles Part 2

Tasks, Y3 & Y4, Shapes and Stories

Tasks, Y3 & Y4, Comparing Prices

Strawberries & Spotty Ties

Today's Task, Y3 & Y4, Player 1  &  Player 2

Tasks, Y3 & Y4, Odd One Out

Today's Task, Y3 & Y4, Guess the Shape

Today's Task, Y3 & Y4, Shape Properties

Today's Task, Y3 & Y4, 4 Triangles Challenge

Multiplication and Division

Today's Task, Y3 & Y4, Connecting + and x

Today's Task, Y3 & Y4, I know... so...

Today's Task, Y3 & Y4, Connections in Multiplication

Today's Task, Y3 & Y4, Multiplication: Different Ways

Today's Task, Y3 & Y4, Multiplication: Largest Product

Today's Task, Y3 & Y4, Products and Sums

Today's Task, Y3 & Y4, Matchstick Makers

Today's Task, Y3 & Y4, Pictures and Thoughts

Today's Task, Y3 & Y4, Going Camping

Today's Task, Y3 & Y4, Tents, Eggs, Teams

Today's Task, Y3 & Y4, Do I Multiply?

Today's Task, Y3 & Y4, Finding Factors Part 1

Today's Task, Y3 & Y4, Finding Factors Part 2

Today's Task, Y3 & Y4, Memory Lane

Measurement

Today's Task, Y3 & Y4, Inventing Measures

Today's Task, Y3 & Y4, Different Measures

Today's Task, Y3 & Y4, Looking at Time

Today's Task, Y3 & Y4, Broken Clocks

Today's Task, Y3 & Y4, 12h and 24h Time

Data Handling

Today's Task, Y3 & Y4, Which Graph?

Today's Task, Y3 & Y4, Reading Graphs

Today's Task, Y3 & Y4, Planning a Journey

Today's Task, Y3 & Y4, League Tables

Today's Task, Y3 & Y4, Graphs and Mistakes

Today's Task, Y3 & Y4, Why Fractions?

Today's Task, Y3 & Y4, Comparing Parts

Today's Task, Y3 & Y4, Fractions of Shapes

Today's Task, Y3 & Y4, Line Up, Fractions

Today's Task, Y3 & Y4, Order and Compare

Today's Task, Y3 & Y4, Same Part, Same Whole

Today's Task, Y3 & Y4, Beyond 1  and the Fractions Cards

Today's Task, Y3 & Y4, Three-Quarters Of...

Today's Task, Y3 & Y4, Make 6

Today's Task, Y3 & Y4, Toddlers, Arms & Elephants

Place Value

Today's Task, Y3 & Y4, Building Hundreds

Today's Task, Y3 & Y4, Numbers In Columns

Today's Task, Y3 & Y4, On The Line Part 1

Today's Task, Y3 & Y4, On The Line Part 2

Today's Task, Y3 & Y4, The Romans

Problem Solving

Today's Task, Y3 & Y4, Change At The Shop

Today's Task, Y3 & Y4, Combinations of Change

Today's Task, Y3 & Y4, Equal, More, Less

Today's Task, Y3 & Y4, Different Answers

Today's Task, Y3 & Y4, Grid: Swapping Sides

Popular searches in the last week:

Year 3/4 mixed age maths planning, a pathway of blocks to cover the national curriculum statutory requirements.

See all our new Medium Term Planning links to the non-statutory Ready-to-Progress criteria.

See our suggested teaching order for the new Curriculum for Wales .

Subject coordinators – Staff Meetings are ready and available!

Autumn Blocks

1 place value.

• 1.  Numbers on a line; compare and order
• 2.  PV in 3-/4-digit nums; amounts of money
• 3.  +/- 1, 10, 100 and 1000, and multiples

2 Addition & Subtraction (A)

• 1.  Strategies for adding and subtracting
• 2.  Number bonds to 100
• 3.  Subtract by counting up: frog

3 Multiplication and Division (A)

• 1.  Rehearsing & understanding times tables
• 2.  Partitioning in multiplication and division

4 Fractions

• 1.  Doubling, halving and the concept of a half
• 2.  Conceptualising fractions
• 3.  Finding fractions of amounts

5 Multiplication and Division (B)

• 1.  Strategies for division

6 Addition & Subtraction (B)

• 1.  +/- near-/multiples of 10, 100, 1000
• 2.  Partitioning and column addition
• 3.  Formal addition & subtraction algorithms
• 1.  Symmetry and 2-D shapes
• 2.  Understanding 3-D shapes
• 3.  Co-ordinates in the first quadrant

8 Wellbeing

• 1.  Key skills through expressive arts Y3
• 2.  Key skills through expressive arts Y4

Spring Blocks

1 place value and fractions.

• 1.  Negative numbers
• 2.  Fractions
• 3.  Equivalent fractions; +/– fractions
• 1.  Mental addition and subtraction
• 2.  3-digit +/– 1-digit numbers
• 1.  Length and data
• 2.  Weight and data

4 Decimals and Money

• 1.  x and ÷ with money and 1-place decimals
• 2.  Decimals and money on a line

5 Multiplication

• 1.  Times tables and factors
• 2.  Partitioning in multiplication
• 1.  Column addition
• 2.  Frog and decomposition
• 1.  Division
• 1.  Telling the time
• 2.  Time and data

Summer Blocks

1 number and place value.

• 1.  Number and Place Value
• 2.  Sequences and Roman Numerals
• 1.  Written algorithms
• 2.  Finding a difference – whole numbers
• 1.  Times tables, factors and multiples
• 2.  Division
• 1.  Decimals and Money
• 2.  Decimals and Measures

5 Measures and Data

• 1.  Area and Perimeter
• 2.  Time
• 3.  Line Graphs and Bar Charts
• 1.  Exploring shape properties
• 2.  Co-ordinates and 3-D shapes

7 Addition & Subtraction (B)

• 1.  Money: finding change and differences
• 2.  Written addition and subtraction

8 Multiplication and Division (B)

• 1.  Partitioning to double, halve and multiply
• 2.  Scaling problems and mental strategies

9 Fractions

• 1.  Fractions

10 Wellbeing

11 local lockdown.

• 1.  Local Lockdown home pack - Y3 Week 1
• 2.  Local Lockdown home pack - Y3 Week 2
• 3.  Local Lockdown home pack - Y4 Week 1
• 4.  Local Lockdown home pack - Y4 Week 2

Hamilton’s problem-solving investigations are 'low floor, high ceiling' activities that give all children opportunities to develop mastery and mathematical meta-skills. Explore a set for a whole year group.

Extra Support worksheets come with guidance for a teacher or TA working with small groups. They can make a significant difference to children working below ARE. Extra support is linked to individual objectives-based units, but you can also explore a set for a whole year.

Procedural fluency is fundamental to numeracy, and Hamilton's practice worksheets are carefully differentiated for children working toward Age Related Expectations (ARE), at ARE and at greater depth. Practice is linked to individual objectives-based units, but you can also explore sets of worksheets for the whole year.

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Year 3 and 4 word problems

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

Last updated

24 September 2014

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Mastery of Mathematics in Early Years Foundation Stages

Bournemouth, United Kingdom

Tuesday, 11 February 2025

9:15 – 16:15 (GMT) in Bournemouth, United Kingdom

£205.00 + VAT

Course objectives.

This teacher professional development course is designed to:

• Develop a deep understanding of teaching and learning mathematics in the Early Years Foundation Stage.
• Foster a shift in teacher mindset regarding the teaching and learning of mathematics.
• Provide a practical understanding of lesson structure and learning experiences for teaching in the Early Years.
• Explain how the Maths — No Problem! Foundations programme supports mathematical development in the Early Years.

Educators will leave the course with a comprehensive understanding of mathematics teaching and learning in the early years. By working through real school lessons, where teachers assume the role of students, participants will gain empathy for the learning process.

The course aims to equip teachers with both the necessary content knowledge and the pedagogical content knowledge to teach young pupils, enabling them to meet the Early Learning Goals and establish a solid foundation in mathematics.

Who this is course intended for?

This course is intended for primary school teachers who want to learn the essentials of the mastery approach to teaching mathematics in the Early Years Foundation Stage. This course is an excellent next step after the three-day The Essentials of Teaching Maths Mastery , therefore it is strongly recommended that participants attend that course before registering for this one.

Meet Your Maths — No Problem! Trainer

Adam is currently subject specialist and series editor at Maths — No Problem! and co-host of the School of School podcast. He is a former primary school headteacher and the first primary mathematics specialist leader of education in the UK. He was the strategic primary lead for the Maths Hub pilot programme at the NCETM, where he was also involved in the Textbook and Diagnostic Assessment programmes. Adam has worked closely with the NW1 Maths Hub as well as Manchester University, numerous local authorities and teaching school alliances.

Venue and Directions

More dates for this course.

Manchester, United Kingdom

New Castle, United Kingdom

Birmingham, United Kingdom

Level up your practice

How it works.

Find out more about the different types of training we offer and whether it's right for you.

International Events

Can't make it to our face-to-face training events? Don't worry! We have several online offerings. To see what's available, go to our Event Calendar and filter for 'online' in the Events dropdown.

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Pitt County 3rd, 4th and 5th graders compete in Math Mania competition

GREENVILLE, N.C. (WITN) - Students from Pitt County Schools went head-to-head in the 21st Annual Math Mania competition on the East Carolina University campus in Greenville on Thursday.

The event featured more than 200 third, fourth and fifth graders solving several rounds of arithmetic against other local schools.

Fifth grader Ian Jones says he has a strategy to find an answer.

“I kind of like 3 x 3 and like what is 3 + 3 and then add 3 to that to get your answer and for like the big multiplication problems, I just do that,” says Jones.

Officials say 21 students from each school with the highest test scores were selected to participate.

Teacher Becky Brinson says it’s important for students to have a solid foundation in math because we use it in life every day.

“If we go to the dollar store for example and something was a dollar, they need to know oh I have to include tax, well how do I do that, they have to multiply that total by 7 percent,” says Brinson.

Fourth grader Cayden Greer says math is his favorite subject and is excited to learn even more in the future.

“I’m doing it because my grades are high...(why are your grades high?) because I get it from my parents...my smarts,” says Greer.

Congratulations to this year’s winner of Math Mania -- the students from Wintergreen Elementary School in Winterville.

Officials say the questions used in the competition are derived from the North Carolina Standard Course of Study.

Copyright 2024 WITN. All rights reserved.

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Llama 3 vs GPT-4: Meta Challenges OpenAI on AI Turf

• While being a much smaller model, Llama 3 70B delivers impressive performance against the top-tier GPT-4 model.
• It excels in most of our advanced reasoning tests and does better than GPT-4 in following user instructions.
• Llama 3 70B has a smaller context length of 8K tokens but exhibits accurate retrieval capability.

1. Magic Elevator Test

Note : GPT-4 loses on ChatGPT Plus

2. Calculate Drying Time

3. Find the Apple

4. Which is Heavier?

While the question seems quite simple, many AI models fail to get the right answer. However, in this test, both Llama 3 70B and GPT-4 gave the correct answer . That said, Llama 3 sometimes generates wrong output so keep that in mind.

5. Find the Position

6. Solve a Math Problem

Winner : GPT-4 via ChatGPT Plus

7. Follow User Instructions

8. NIAH Test

Winner : Llama 3 70B, and GPT-4 via ChatGPT Plus

Llama 3 vs GPT-4: The Verdict

Passionate about Windows, ChromeOS, Android, security and privacy issues. Have a penchant to solve everyday computing problems.

It is not challenging, there are some features that shows its difference!

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