year 4 addition reasoning and problem solving

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Addition and Subtraction Consolidation Year 4 Autumn Block 2 Reasoning and Problem Solving

Addition and subtraction consolidation year 4 block 2 questions.

This resource is aimed at Year 4 Expected and has been designed to give children the opportunity to consolidate the skills they have learned in Autumn Block 2 Addition and Subtraction.

The questions are based on a selection of the same ‘small steps’ that are addressed in the block, but are presented in a different way so children can work through the pack independently and demonstrate their understanding and skills.

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What's included in the pack?

This pack includes:

• Addition and Subtraction Consolidation Year 4 Block 2 Reasoning and Problem Solving worksheets (includes answers).

National Curriculum Objectives

Mathematics Year 4: (4C2)  Add and subtract numbers with up to 4 digits using the formal written methods of columnar addition and subtraction where appropriate

Mathematics Year 4: (4C3) Estimate and use inverse operations to check answers to a calculation

Mathematics Year 4: (4C4)  Solve addition and subtraction two-step problems in contexts, deciding which operations and methods to use and why

Small Steps:

Add two 4 digit numbers more than one exchange Add two 4 digit numbers one exchange Subtract two 4 digit numbers one exchange Subtract two 4 digit numbers more than one exchange Efficient Subtraction Estimate answers Add and Subtract 1s,10, 100s and 1000s

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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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Resources tagged with: NC Yr 4

There are 51 NRICH Mathematical resources connected to NC Yr 4 , you may find related items under NC .

Satisfying Four Statements

Can you find any two-digit numbers that satisfy all of these statements?

Representing Numbers

Find as many different ways of representing this number of dots as you can.

Ordering Journeys

How would you put these journey lengths in order?

What Distance?

Can you use addition and subtraction to answer these questions about real-life distances?

Count Me In

How do you know whether you will reach these numbers when you count in steps of six from zero?

Dicey Operations in Line

Who said that adding, subtracting, multiplying and dividing couldn't be fun?

Seeing Squares

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.

Reasoned Rounding

Four strategy dice games to consolidate pupils' understanding of rounding.

Round the Dice Decimals 1

Use two dice to generate two numbers with one decimal place. What happens when you round these numbers to the nearest whole number?

Let Us Divide!

Look at different ways of dividing things. What do they mean? How might you show them in a picture, with things, with numbers and symbols?

Discuss and Choose

This activity challenges you to decide on the 'best' number to use in each statement. You may need to do some estimating, some calculating and some research.

Bryony's Triangle

Watch the video to see how to fold a square of paper to create a flower. What fraction of the piece of paper is the small triangle?

Sorting Logic Blocks

This activity focuses on similarities and differences between shapes.

Light the Lights Again

Each light in this interactivity turns on according to a rule. What happens when you enter different numbers? Can you find the smallest number that lights up all four lights?

A task which depends on members of the group noticing the needs of others and responding.

What Shape?

This task develops spatial reasoning skills. By framing and asking questions a member of the team has to find out what mathematical object they have chosen.

Counters in the Middle

This task depends on groups working collaboratively, discussing and reasoning to agree a final product.

Table Patterns Go Wild!

Nearly all of us have made table patterns on hundred squares, that is 10 by 10 grids. This problem looks at the patterns on differently sized square grids.

Times Tables Shifts

In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?

Reflector ! Rotcelfer

Can you place the blocks so that you see the reflection in the picture?

Nice or Nasty

There are nasty versions of this dice game but we'll start with the nice ones...

The Remainders Game

Play this game and see if you can figure out the computer's chosen number.

Four-digit Targets

You have two sets of the digits 0-9. Can you arrange these in the five boxes to make four-digit numbers as close to the target numbers as possible?

Venn Diagrams

How will you complete these interactive Venn diagrams?

Eight Hidden Squares

On the graph there are 28 marked points. These points all mark the vertices (corners) of eight hidden squares. Can you find the eight hidden squares?

Shape Times Shape

These eleven shapes each stand for a different number. Can you use the number sentences to work out what they are?

Multiplication Square Jigsaw

Can you complete this jigsaw of the multiplication square?

Twice as Big?

Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.

Multiples Grid

What do the numbers shaded in blue on this hundred square have in common? What do you notice about the pink numbers? How about the shaded numbers in the other squares?

Coordinate Challenge

Use the clues about the symmetrical properties of these letters to place them on the grid.

Torn Shapes

These rectangles have been torn. How many squares did each one have inside it before it was ripped?

Take Your Dog for a Walk

Use the interactivity to move Pat. Can you reproduce the graphs and tell their story?

Fractional Wall

Using the picture of the fraction wall, can you find equivalent fractions?

Stringy Quads

This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!

Nine-pin Triangles

How many different triangles can you make on a circular pegboard that has nine pegs?

Carrying Cards

These sixteen children are standing in four lines of four, one behind the other. They are each holding a card with a number on it. Can you work out the missing numbers?

Andy's Marbles

Andy had a big bag of marbles but unfortunately the bottom of it split and all the marbles spilled out. Use the information to find out how many there were in the bag originally.

How Big Are Classes 5, 6 and 7?

Use the two sets of data to find out how many children there are in Classes 5, 6 and 7.

Fractional Triangles

Use the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.

The Deca Tree

Find out what a Deca Tree is and then work out how many leaves there will be after the woodcutter has cut off a trunk, a branch, a twig and a leaf.

Symmetry Challenge

How many symmetric designs can you make on this grid? Can you find them all?

Let Us Reflect

Where can you put the mirror across the square so that you can still "see" the whole square? How many different positions are possible?

I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?

A Cartesian Puzzle

Find the missing coordinates which will form these eight quadrilaterals. These coordinates themselves will then form a shape with rotational and line symmetry.

Fractions in a Box

The discs for this game are kept in a flat square box with a square hole for each. Use the information to find out how many discs of each colour there are in the box.

Shapes on the Playground

Sally and Ben were drawing shapes in chalk on the school playground. Can you work out what shapes each of them drew using the clues?

Zios and Zepts

On the planet Vuv there are two sorts of creatures. The Zios have 3 legs and the Zepts have 7 legs. The great planetary explorer Nico counted 52 legs. How many Zios and how many Zepts were there?

Can you dissect an equilateral triangle into 6 smaller ones? What number of smaller equilateral triangles is it NOT possible to dissect a larger equilateral triangle into?

Four Triangles Puzzle

Cut four triangles from a square as shown in the picture. How many different shapes can you make by fitting the four triangles back together?

There are three tables in a room with blocks of chocolate on each. Where would be the best place for each child in the class to sit if they came in one at a time?

Year 4 | Solving Addition and Subtraction Problems Worksheets

Year 4 Autumn addition and subtraction resources

Topic: Addition and subtraction (Autumn term)

These  Year 4 | Solving Addition and Subtraction Problems 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 addition and subtraction resources .

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Partitioning and column addition - Problem-Solving Investigation - Year 4

Subject: Mathematics

Age range: 7-11

Resource type: Other

Last updated

15 April 2024

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Year 4 Addition and Subtraction: Partitioning and column addition.

This in-depth maths investigation will develop maths meta-skills, and enable children to learn to think mathematically and articulate mathematical ideas.

In-depth Investigation: Make 100 Given a pattern of four one-digit numbers, children attempt to make a total of exactly 100.

This problem-solving investigation is part of our Year 4 Addition and Subtraction block. Each Hamilton maths block contains a complete set of planning and resources to teach a term’s worth of objectives for one of the National Curriculum for England’s maths areas.

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Year 4 Addition & Subtraction - Problem-Solving Investigations

These in-depth maths investigations are open-ended problem solving activities for Year 4 children. **In-depth Investigation: Make 100** Given a pattern of four one-digit numbers, children attempt to make a total of exactly 100. **In-depth Investigation: Total £10** Using only digits 1-9 without the ‘5’, children find all possible pairs of amounts to make £10. **In-depth Investigation: Cats and Dogs** Children work to solve a puzzle involving adding two 3-digit numbers. They find several possible solutions, and then invent their own puzzle. **In-depth Investigation: Hole-y Subtractions** Children create 3-digit palindromic numbers with a ‘hole’ (i.e. a zero) in the middle. They subtract 3-digit numbers with equal numbers of 1s, 10s and 100s and identify patterns in their answers. **In-depth Investigation: Present Prices** Children use logic and addition, along with some trial and improvement to solve a problem involving money. **In-depth Investigation: Wonderful 1089!** Children add two 3-digit numbers and subtract a pair of 3-digit numbers to find patterns. They use mathematical reasoning to begin to explain what they find. **In-depth Investigation: Mobile Subtractions** Children select 3 contiguous numbers from a mobile phone display and create a subtraction. **In-depth Investigation: Subtraction Trios** Children look for patterns in answers when subtracting 3-digit numbers from 4-digit numbers with consecutive digits. **In-depth Investigation: Prime Addition Squares** Children add sets of three 3-digit numbers to find patterns in a magic square based on prime numbers. These investigations will develop maths meta-skills, support open-ended questioning and logical reasoning, and enable children to learn to think mathematically and articulate mathematical ideas. These problem-solving investigations come from our [Year 4 Maths Blocks](https://www.hamilton-trust.org.uk/maths/year-4-maths/). Each Hamilton maths block contains a complete set of planning and resources to teach a term’s worth of objectives for one of the National Curriculum for England’s maths areas.

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Year 4 Money Challenges Solving Money Problems

Welcome to our Year 4 Money Challenges page. Here you will find our selection of printable money problem worksheets to help your child learn to use their money skills to solve a range of problems.

These challenges are a great resource as an extension for more able pupils, or to consolidate and extend learning.

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Year 3 Money Learning

Knowing how to handle and calculate with money is a very important life-skill.

During Year 3, children build on their knowledge and skills they have achieved during Year 2.

By the time children reach the end of Year 3, they should be able to:-

• use decimal notation for amounts of money, e.g. £3.27
• change amounts in £ to amounts in pence and back;
• count money up to £10;
• calculate change for amounts of money up to £1 mentally;
• solve simple problems involving money;
• use informal methods to add and subtract money amounts in £ and pence.

Our worksheets will support your child with these objectives.

Year 4 Money Challenges Information

The following worksheets involve solving challenges involving money amounts. They are a great way to consolidate and extend money learning once children are confident with counting money amounts.

The challenges start off at a fairly easy level with problems that involve lower value coins and smaller money amounts. The challenges later on involve more complex problems with larger values to calculate.

If you are teaching a class or group of children, then these sheets should give you some great differentiated learning activities with a money theme.

An answer sheet is available for each challenge provided.

The money challenges in each section are carefully graded, allowing you to introduce concepts at an easier level before introducing harder work, or differentiate within your class.

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

• count money in coins;
• develop their reasoning and thinking skills;
• solve problems involving money.

All the money worksheets in this section will help your child to become more confident with money, and develop better problem solving skills.

These problems and challenges build on our Year 3 Money Challenges .

Year 4 Money Challenges Worksheets

There are 3 challenges - Tyger's Money Square Challenge, Row of Coins Challenge and How Much Money Challenge.

Each main challenge has several versions which start with the easiest level and progress onto harder levels of challenge.

Row of Coins Challenges

• Row of Coins Challenge 4:1
• PDF version
• Row of Coins Challenge 4:2

Tyger's Money Square Challenges

• Tyger's Money Square Challenge 4:1
• Tyger's Money Square Challenge 4:2
• Tyger's Money Square Challenge 4:3

How Much Money Challenges

• How Much Money Challenge 4:1
• How Much Money Challenge 4:2

Match the Coins

• Match the Coins 4:1
• Match the Coins 4:2

Extension Activity Ideas

If you are looking for a way to extend learning with the How Much Money challenge, why not...

Try playing 'How Much Money' in pairs.

One person chooses 2 or 3 coins and the other person has to ask questions which involve 'yes' or 'no' answers.

To make the game more interesting, have a maximum of 5 questions before you make a guess!

Looking for some more UK money worksheets?

We also have some counting money worksheets with amounts up to £1 or £5.

The sheets are at a more basic level than those on this page.

• Free UK Money Worksheets Coins up to £1
• Year 3 Money Worksheets Coins up to £5
• Year 3 Money Challenges

More Recommended Math Worksheets

Take a look at some more of our worksheets similar to these.

Money Riddles

These puzzles are a great money starter activity to get children thinking and puzzling out which the correct answer is out of a set number of choices. They are great for partner work too.

UK Money Riddles

If you are looking for some fun learning puzzles involving money, then look no further.

The puzzle sheets in this section are designed primarily for children in Years 3 and 4 who need to develop their problem solving skills and mathematical language.

Using these challenges will help your child to:

• apply their existing skills to puzzle out clues;
• understand money terminology;
• develop their thinking skills.
• Money Riddles for Kids (UK coins)

Money Column Addition Worksheets

Here you will find a selection of Column Addition Money sheets designed to help your child add different amounts of money.

Using these sheets will help your child to:

• add up a range of money amounts involving decimals.

The worksheets in this section are aimed at children in Years 4 and 5.

• Column Addition Money Worksheets (UK)

Money Column Subtraction Worksheets

Here you will find a selection of Column Subtraction Money sheets designed to help your child subtract different amounts of money.

• subtract a range of money amounts involving decimals.
• Column Subtraction Money Worksheets (UK)
• Counting Money Games

Here is our collection of counting money games for kids.

All of these games are suitable for kids aged from 1st grade and upwards.

Playing games is a great way to practice math skills in a fun way. Games also help to develop reasoning, thinking and memory.

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