year 5 maths problem solving

• Home   |  
• About   |  
• Contact Us   |  
• Privacy   |  
• Newsletter   |  
• Shop   |  
• 🔍 Search Site
• Easter Color By Number Sheets
• Printable Easter Dot to Dot
• Easter Worksheets for kids
• Kindergarten
• All Generated Sheets
• Place Value Generated Sheets
• Addition Generated Sheets
• Subtraction Generated Sheets
• Multiplication Generated Sheets
• Division Generated Sheets
• Money Generated Sheets
• Negative Numbers Generated Sheets
• Fraction Generated Sheets
• Place Value Zones
• Number Bonds
• Addition & Subtraction
• Times Tables
• Fraction & Percent Zones
• All Calculators
• Fraction Calculators
• Percent calculators
• Area & Volume Calculators
• Age Calculator
• Height Calculator
• Roman Numeral Calculator
• Coloring Pages
• Fun Math Sheets
• Math Puzzles
• Mental Math Sheets
• Online Times Tables
• Online Addition & Subtraction
• Math Grab Packs
• All Math Quizzes
• 1st Grade Quizzes
• 2nd Grade Quizzes
• 3rd Grade Quizzes
• 4th Grade Quizzes
• 5th Grade Quizzes
• 6th Grade Math Quizzes
• Place Value
• Rounding Numbers
• Comparing Numbers
• Number Lines
• Prime Numbers
• Negative Numbers
• Roman Numerals
• Subtraction
• Add & Subtract
• Multiplication
• Fraction Worksheets
• Learning Fractions
• Fraction Printables
• Percent Worksheets & Help
• All Geometry
• 2d Shapes Worksheets
• 3d Shapes Worksheets
• Shape Properties
• Geometry Cheat Sheets
• Printable Shapes
• Coordinates
• Measurement
• Math Conversion
• Statistics Worksheets
• Bar Graph Worksheets
• Venn Diagrams
• All Word Problems
• Finding all possibilities
• Logic Problems
• Ratio Word Problems
• All UK Maths Sheets
• Year 1 Maths Worksheets
• Year 2 Maths Worksheets
• Year 3 Maths Worksheets
• Year 4 Maths Worksheets
• Year 5 Maths Worksheets
• Year 6 Maths Worksheets
• All AU Maths Sheets
• Kindergarten Maths Australia
• Year 1 Maths Australia
• Year 2 Maths Australia
• Year 3 Maths Australia
• Year 4 Maths Australia
• Year 5 Maths Australia
• Meet the Sallies
• Certificates

Year 5 Maths Worksheets UK Hub Page

Welcome to our Year 5 Maths Worksheets area.

Here you will find a wide range of free printable Maths Worksheets for pupils in Year 5, and Math activities for your child to enjoy.

Take a look at our decimal place value sheets, our mental math sheets, or maybe some of our equivalent fraction worksheets. Perhaps you would prefer our statistics worksheets, or how to measure angles?

For full functionality of this site it is necessary to enable JavaScript.

Here are the instructions how to enable JavaScript in your web browser .

• 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 5 Maths Learning

Here are some of the key learning objectives for the end of Year 5:

• know and use Place value up to 1 million
• Compare and order numbers up to 1 million
• Counting on and back in steps of powers of 10 from any number up to 1 million
• Round numbers to the nearest 10, 100, 1000, 10000 or 100000.
• Count forwards and backwards through zero with positive and negative numbers.
• Read Roman numerals to 1000
• add and subtract with more than 4 digits in columns
• add or subtract larger numbers mentally
• solve multi-step problems using addition and subtraction
• Multiply and divide whole numbers and decimals up to 2dp by 10, 100 or 1000
• identify multiples and factors including common factors
• multiply up to 4-digit numbers by a 1-digit number
• multiply up to 3-digits numbers by 2-digits
• divide numbers up to 4-digits by a 1-digit number
• recognise and use squared and cubed numbers
• solve problems using multiplication and division
• know what a prime number is and recall prime numbers up to 20
• compare and order fractions whose denominators are multiples of the same number
• identify, name and write equivalent fractions
• convert between mixed numbers and improper fractions
• add and subtract fractions with the same denominator or whose denominators are multiples of the same number
• multiply proper fractions and mixed numbers by whole numbers
• read and write decimal numbers as fractions.
• Multiply and divide whole numbers and decimals by 10, 100 or 1000
• read, write, order and compare numbers up to 2dp
• round decimals with up to 2dp to the nearest whole
• solve problems with numbers up to 2dp
• understand and use the percent symbol
• convert percentages to fractions with a denominator of 100
• know fraction-percentage equivalence for halves, quarters, fifths and tenths
• solve problems using simple percentages
• measure, compare and calculate using different measures
• find the area and perimeter of a range of rectilinear shapes
• convert between different units of time
• convert between different units of metric measure
• convert between simple imperial and metric units
• solve more complex money and measure problems
• draw and measure angles in degrees
• know the sum of angles at a point (360°rees;) and angles at a point along a line (180°rees;)
• identify 3D shapes from 2D representations
• Identify, describe and represent the position of a shape following a reflection or translation
• find the area and perimeter of composite rectilinear shapes
• know properties of regular and irregular shapes

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 5 is generally equivalent to 4th Grade in the US.

On this page you will find link to our range of math worksheets for Year 5.

Quicklinks to Year 5 ...

• Place Value Zone
• Mental Math Zone

Word Problems Zone

• Fractions & Percentages 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 5 place value worksheets.

Using these Year 5 maths worksheets will help your child to:

• Understand decimals;
• Use place value notation with tenths and hundredths;
• Know how to read and write numbers to 10 million;
• Understand place value to 10 million.
• Decimal Place Value Worksheets
• Year 5 Place Value up to 6 digits
• Comparing and Ordering Whole Numbers up to 6 Digits
• Ordering Decimals Worksheets
• Roman Numerals worksheets

Year 5 Number Worksheets

Using these Year 5 Maths worksheets will help your child to:

• learn to estimate and approximate;
• order numbers, including negative numbers and decimals;
• learn how to place decimal numbers on a number line;
• understand and use multiples and factors, and know what a prime number is;
• complete the missing number to balance a math equation.
• Factors and Multiples Worksheet
• Rounding Decimals to the nearest whole
• Rounding to the nearest tenth
• Balancing Math Equations

Year 5 Counting Worksheets

Using these sheets will support you child to:

• count on and back by multiples of 10;
• fill in the missing numbers in sequences;
• count on and back into negative numbers.
• Counting on and back by tens

Year 5 Mental Maths Zone

Here you will find a range of printable Year 5 mental maths sheets for your child to enjoy.

Each quiz tests the children on a range of maths 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 test or math quiz!

• Year 5 Mental Maths Worksheet

Top of Page

Year 5 Addition Worksheets

• add multiple numbers in columns up to 5 digits;
• add numbers in columns, including money amounts with up to two decimal places.
• Decimal Addition Worksheets (mental)
• Free Addition Worksheets (randomly generated)
• Addition Worksheets with Multi-Addends
• Money Addition Worksheets (£ )
• Money Worksheets (randomly generated)

Year 5 Subtraction Worksheets

• learn to subtract numbers with up to 5 digits;
• learn to subtract numbers involving money with decimals with up to two decimal places.
• Free Subtraction Worksheets (randomly generated)
• 5 Digit Subtraction Worksheets
• Money Subtraction Worksheets UK (£ )
• Subtracting Decimals Worksheets (mental)

Year 5 Multiplication Worksheets

Using these 4th grade math worksheets will help your child to:

• use their multiplication table knowledge to multiply by 10s and 100s mentally
• multiply any whole number by a single digit;
• multiply a two or three digit number by a two digit number.
• Times Table Worksheets Circles 1 to 12 tables
• Times Tables Worksheets (randomly generated)
• Multiplying Decimals by 10 and 100
• Multiply and Divide by 10 100 (decimals)
• Multiplying by Multiples of 10 and 100
• Single Digit Multiplication Graded Sheets
• Double Digit Multiplication Worksheets (Graded)
• Single Digit Multiplication Worksheets Generator
• Multi-Digit Multiplication Generator
• Multiplication Word Problems

Year 5 Division Worksheets

Using these Year 5 maths worksheets will help your child learn to:

• apply their division facts up to 10x10 to answer related questions involving 10s and 100s.
• divide any whole number by a single digit.
• Divding by Multiples of 10 and 100 Worksheets
• Year 5 (4th Grade) Long Division Worksheets

These sheets involve solving a range of division problems.

• Division Worksheets (Grade 4) Word Problems
• Division Facts Worksheets (randomly generated)

Year 5 Math Problems

• apply their addition, subtraction and problem solving skills;
• apply their knowledge of rounding and place value;
• solve a range of 'real life' problems;
• attempt more challenging longer problems.

Using the problems in this section will help your child develop their problem solving and reasoning skills.

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

• 4th Grade Math Problems

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

• 4th Grade Math Word Problems

These sheets involve solving a range of multiplciation problems.

• Division Worksheets Grade 4 Word Problems

Fractions & Percentage Zone

Quicklinks to ...

• Year 5 Fractions Worksheets

Year 5 Percentage Worksheets

Year 5 fraction worksheets.

• position different fractions on a number line;
• understand equivalent fractions;
• understand what a mixed number is;
• compare two or more fractions;
• begin to convert fractions to decimals and decimals to fractions.
• Equivalent Fractions Worksheets
• Comparing Fractions Worksheet page
• Improper Fraction Worksheets
• Fractions of Numbers
• Convert Fractions to Decimal Sheets
• Convert Decimal to Fraction Sheets
• Free Printable Fraction Riddles (harder)

Take a look at our percentage worksheets for finding the percentage of a number or money amount.

We have a range of percentage sheets from quite a basic level to much harder.

• Fractions Decimals Percents Worksheets
• Percentage Word Problems

Year 5 Geometry Worksheets

Using these sheets will help you to:

• classify angles - acute, obtuse, right, reflex, straight;
• classify triangles - acute, obtuse, right;
• measure angles using a protractor;
• know that angles in a triangle add up to 180°
• know the properties of regular and irregular shapes
• plot and write coordinates in the first quadrant.
• 4th Grade Geometry Worksheets
• Symmetry Activities
• Coordinate Worksheets (1st Quadrant)

Measurement Zone, including Time & Money

Year 5 measurement worksheets.

Using these sheets will help your child understand how to:

• read scales in both the standard and metric systems;
• read a scale going up in a range of fractions: halves, quarters and eighths;
• read a scale going up in tenths, fives, tens, fifties, and hundreds.
• 4th Grade Measurement Worksheets
• Converting Customary Units Worksheets
• Metric Conversion Worksheets

Area and Perimeter Worksheets

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

Year 5 Time Worksheets (4th Grade)

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

• tell the time to the nearest minute;
• become familiar with both digital and analogue times;
• add and subtract time intervals.
• Telling Time Worksheets Grade 4 (1 minute intervals)
• 24 Hour Clock Conversion Worksheets

On this webpage there is a selection of printable 24 hour (military time) conversion worksheets which will help you learn to convert from 24 hour clock to standard 12 hour time, and from standard time to 24 hour time.

Time Interval Worksheets

These sheets will help you learn to add and subtract hours and minutes from times as well as working out a range of time intervals.

• Add and Subtract Time Worksheets
• Elapsed Time Worksheets

Time Puzzles - harder

Here you will find our selection of harder time puzzles.

• Time Word Problems Worksheets - Riddles (harder)

Using these 4th grade math worksheets will help you to:

• draw and read bar graphs with increasingly complex numbers;
• read, interpret and draw line graphs;
• Year 5 Bar Graph Worksheets (4th grade)
• Year 5 Line Graph Worksheets

Fun Zone: Puzzles, Games and Riddles

Year 5 maths games.

• Year 5 Math Games (4th Grade)

Year 5 Maths Puzzles

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

• Year 5 Maths Puzzles (4th Grade)

Math Salamanders Year 5 Maths Games Ebook

Our Year 5 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 5 Maths Games Ebook

Other UK Maths Worksheet pages

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

How to Print or Save these sheets 🖶

Need help with printing or saving? Follow these 3 steps to get your worksheets printed perfectly!

• How to Print support

Subscribe to Math Salamanders News

Sign up for our newsletter to get free math support delivered to your inbox each month. Plus, get a seasonal math grab pack included for free!

• Newsletter Signup

Return to Math Salamanders UK Home Page

Return from Year 5 Maths Worksheets to Math Salamanders Homepage

Math-Salamanders.com

The Math Salamanders hope you enjoy using these free printable Math worksheets and all our other Math games and resources.

We welcome any comments about our site or worksheets on the Facebook comments box at the bottom of every page.

New! Comments

TOP OF PAGE

© 2010-2024 Math Salamanders Limited. All Rights Reserved.

• Privacy Policy
• Copyright Policy

Teacher-Trusted Tutoring

Personalised one to one tutoring that boosts confidence and doubles progress

FREE daily maths challenges

A new KS2 maths challenge every day. Perfect as lesson starters - no prep required!

Free Year 5 Maths Worksheets And Homework – Download, Print, Or View Online

Anantha Anilkumar

Here you’ll find all our Year 5 maths worksheets, and Year 5 maths tests that are suitable for use during classroom lessons and as homework.

• What to expect from our Year 5 Maths worksheets

These KS2 maths worksheets cover every part of the Year 5 primary maths curriculum, to help your children practise and gain confidence in their understanding ahead of Year 6 and the KS2 SATs . Their focus is on retrieval practice – going over topics that children should already have covered and helping them strengthen their knowledge and understanding. 

Most of our worksheets come in pdf format, and all of them are printable. But if you’re running out of printer ink, they can be viewed online too. 

Every Year 5 maths test or worksheet comes with its own answer sheet, and guidance from the National Curriculum is included wherever it might be needed (for example, if there might be more than one correct answer for a question). Some worksheets also include model answers to help children break down the best way to solve a problem. 

Note: The National Curriculum does not specify any place value teaching for Year 5. However this is often a good time to begin revising the topic (among others) in preparation for the KS2 SATs. Have a look at these place value worksheets as part of your revision.

Similarly, addition and subtraction work is largely an extension of what was covered in previous years. Take a look at our collection of addition and subtraction worksheets for practice materials for these topics.

If you’re a parent looking for more advice, try our  home learning hub full of home learning packs , tips and teaching ideas for Year 5 Maths at Home and maths homework .

If you’re a teacher or school leader who is interested in improving maths attainment in your school or classroom, then this whole website is for you. Third Space Learning is dedicated to improving outcomes in maths with our online tutoring programme of maths interventions , together with maths resources and CPD.

Free Year 5 Maths Worksheets and Tests

A collection of worksheets and activities suitable for home learning from the Third Space Maths Hub. Register (for free) to download. Use Google Chrome

Year 5 Place Value Worksheets

Year 5 addition and subtraction worksheets, year 5 multiplication and division worksheets, year 5 fractions worksheets, year 5 decimals and percentages worksheets, year 5 statistics worksheets, year 5 measurement worksheets, year 5 maths tests, year 5 mental maths and arithmetic worksheets: fluent in five.

One of our most popular resources with parents and teachers and a great way to start or end the day, Fluent in Five worksheets include 5-10 minutes worth of quick arithmetic questions designed to help children become quicker at making mental or written calculations. 

Children are given around 5 questions per maths worksheet – more than in previous years – to get them used to completing more questions in a short space of time ahead of Year 6 and the KS2 maths arithmetic paper. 

Download the free Year 5 mental maths worksheets

Year 5 Maths reasoning and problem solving worksheets: Rapid Reasoning

Reasoning is one of the key maths skills pupils are expected to show by the time they take the Key Stage 2 SATs, and our Rapid Reasoning worksheets give them plenty of extra practice! This pack comes with six weeks of questions, with around three to four word problems to solve per day. 

Download the free Year 5 maths reasoning worksheets

Year 5 Maths worksheets place value: Code Crackers

Place value is one of the most important topics in the mathematics curriculum. This fun worksheet covers key elements of the Year 5 place value curriculum including Roman numerals, negative numbers and rounding. 

Use this free resource to recap Year 5 place value learning whilst finding the punchline to a pirate themed joke. 

Download the Year 5 Code Crackers Place Value worksheets

Year 5 Maths worksheets place value: All kind of word problems

Place value is the basis of all mathematical knowledge. This workbook encourages children to deepen their understanding of place value through a range of different problems. Children will focus on understanding and rounding decimal numbers in context (money) creating numbers with different values and understanding Roman numerals in context (years written in Roman numerals). 

Download Year 5 place value worksheets: All kind of word problems

Year 5 Maths worksheets place value: Worked Examples

As larger numbers are introduced, children can find the topic of place value more challenging. This worksheet focuses on common misconceptions and encouraging children to identify and explain errors, therefore developing their reasoning skills. 

Download Year 5 place value worksheet: Worked Examples

Year 5 Maths worksheets addition and subtraction: Let’s practise using the bar model 

Year 5 children will not only need to know how to add and subtract numbers with more than 4-decimal places, they will also need to add and subtract decimal numbers. This worksheet focuses on solving worded problems that include these elements, while also introducing the very useful visual element of a bar model. 

Download Year 5 addition and subtraction worksheets: Let’s practise using the bar model 

Year 5 Maths worksheets addition and subtraction: Worked Examples

Children can often make errors when using formal written methods of addition and subtraction, estimating or mental arithmetic methods. This worksheet encourages children to consider and discuss common errors that could be encountered. 

Download Year 5 addition and subtraction worksheets: Worked Examples

Year 5 Maths worksheets addition and subtraction: All kinds of word problems

This resource encourages children to think about maths in a more open ended way. In this workbook, children are presented with a range of problems to solve and not all of them will have one answer only. From checking the addition and subtraction answers to writing a range of ways to create a number, pupils will be challenged with this resource. 

Download Year 5 addition and subtraction worksheets: All kinds of word problems

Year 5 Maths worksheets addition and subtraction: Code Crackers

Sometimes, some simple retrieval questions to round up a topic is all that is needed. This resource focuses on adding and subtracting numbers with 4 or more digits to find the answer to a space themed joke. 

Download Year 5 worksheets addition and subtraction: Code Crackers

Year 5 Maths worksheets on Times Tables: Tarsia Puzzles 

By the time children start in Year 5, they are expected to know all their times tables in any order and the related division facts. These worksheets are a fun way to practise times tables facts independently and develop mental arithmetic skills for any children who are less confident.

Download Year 5 Tarsia Puzzles Mixed Times Tables Pack

Year 5 Maths Worksheets for long multiplication

By the end of Year 5, children are expected to be able to multipy up to 4-digit numbers by 1- and 2-digit numbers, and multiply decimal and whole numbers by multiples of 10 up to 1000, according to the National Curriculum. 

These worksheets help pupils improve their skills with the former, with 45 questions ranging from multiplying 2-digit numbers by other 2-digit numbers all the way to multiplying 4-digit numbers. Each worksheet also comes with an answer scheme and modelled answers to show children how to correctly lay out their long multiplication calculations. 

Download the free Year 5 Long Multiplication Worksheets

Year 5 Maths worksheets multiplication: All kinds of word problems

This workbook focuses on a range of different multiplication problems that require multiple steps to find an answer. The questions include comparison statements, complete the multiplication grid and multiplication questions involving money.

Download Year 5 multiplication worksheets: All kinds of word problems

Year 5 Maths worksheets multiplication: Let’s practise using the bar model

Children can find worded problems challenging to answer. This worksheet focuses on recapping multiplication facts up to 12 x 12 then progressing to up to 3-digit numbers multiplied by teen numbers. While this may seem challenging, the addition of the bar models helps pupils to visualise and answer the more complex problems.

Download Year 5 multiplication worksheets: Let’s practise using the bar model

Year 5 Maths Worksheets for long division

Long division is one of the most difficult parts of the primary maths curriculum. This set of 3 worksheets helps children practice it in stages, including several short division questions to begin with to help them get warmed up before tackling the harder questions. 

Download the free Year 5 Long Division Worksheets

Year 5 Maths Worksheets for multiplication & division: Code Crackers

Our Code Crackers worksheets give children a fun way to revise their knowledge of a topic. Each Code Crackers worksheet includes a series of questions – in this case multiplication and division problems – based on what they have learned that year, and the answers can be put together to make the punchline of a joke!

In Year 5 children will mostly be practising long multiplication and division, but some short division/short multiplication questions are also included, to help them keep their knowledge of the basics sharp. 

Download the free Year 5 Multiplication and Division Worksheets

Year 5 Maths Worksheets for multiplication & division: Worked Examples

There is a lot of content to cover for multiplication and division in Year 5, which is why we made two different worked examples worksheets. The first worksheet covers common misconceptions found when learning about prime numbers, square numbers, multiplying or dividing by a power of ten and factors. The second worksheet covers multiply 4-digit numbers by 1-digit numbers (and two 2-digit numbers) and dividing a 4-digit number by a 1-digit number.

Download Year 5 multiplication & division worksheet 1: Worked Examples

Download Year 5 multiplication & division worksheet 2: Worked Examples

Year 5 Maths Worksheets on fractions: Code Crackers

By Year 5, children have learned about both equivalent fractions and improper fractions, and even begun combining the two. Our Code Crackers fractions worksheet helps them get even more practice in solving these complicated questions. 

Download the free Year 5 Fractions Worksheets

Year 5 Maths Worksheets on fractions: Independent Recap

Our newest style of maths worksheets, independent recap sheets are meant to be completed by children with little extra support, making them perfect home learning or homework activities.

This Year 5 maths worksheet focuses on finding fractions of amounts, and includes an arithmetic warm up involving adding and subtracting fractions, before moving onto reasoning questions that test how well children have learned how to calculate fractions of amounts. 

Download the free Year 5 Fractions of Amounts Worksheet

Year 5 Maths worksheet on fractions: worked examples

There are certain aspects of fractions that will be familiar to Year 5 students but may still carry misconceptions. This worksheet focuses on showing these misconceptions to children to allow them to discuss them openly. While the worksheet covers some familiar aspects (adding and subtracting fractions, ordering fractions) a new element of different denominators has been introduced. 

Download Year 5 fractions worked examples

Year 5 Maths Worksheets on decimals and percentages: Code Crackers

A worksheet of problems covering percentages and numbers up to two decimal places, with the answers coming together to form the punchline to the joke given at the start – great for retrieval practice !

Download the free Year 5: Decimals and Percentages Worksheets

Year 5 Maths Worksheets on decimals and percentages: Independent Recap 

While decimals were introduced in Year 4, percentages are new for Year 5. These simple to follow worksheets introduce what percentages are before moving on to writing percentages as fractions and decimals.

Download Year 5 decimals and percentages worksheets: Independent Recap

Year 5 Maths Worksheets on decimals and percentages: All kinds of word problems

This workbook has a range of activities to do with decimals and percentages including converting between the two and finding percentages of amounts. 

Download Year 5 Worksheets on decimals and percentages: All kinds of word problems

Year 5 Maths Worksheets on decimals and percentages: Let’s practise using the bar model

It is often important for children to understand when they will use the maths topics they are learning. This worksheet brings percentages and decimals into a real world context (shopping, for example) to help children to understand why, for example, knowing how to find a percentage of an amount is useful. 

Download Year 5 decimals and percentages worksheets: Let’s practise using the bar model

Year 5 Maths Worksheets on decimals and percentages: Worked Examples

This worksheet covers what percentage is, converting between decimals, percentages and fractions as well as understanding the value of decimals. There are a range of common errors that are made within this unit that have been addressed to encourage children to fully understand the topic. 

Download Year 5 decimals and percentages worksheets: Worked Examples

Year 5 Maths Worksheets for statistics: Code Crackers

In Year 5 statistics, the focus is on line graphs and more complex tables. This worksheet encourages children to read and interpret line graphs and tables in order to answer retrieval, comparison and sum calculations with the ultimate reward of finding the answer to a Halloween themed joke. 

Download Year 5 Statistics Worksheets: Code Crackers

Year 5 Maths Worksheets for statistics: Worked Examples

Although children will be familiar with line graphs and tables, they are still likely to make errors, especially when reading line graphs with more than one set of data. This worksheet addresses these common errors while allowing the children to ‘be the teacher’. 

Download Year  5 Statistics Worksheets: Worked Examples

Year 5 Maths Worksheets for converting units: Worked Examples

In previous years, children will have looked at converting units (for example centimetres to metres), however in Year 5, this is a unit of its own. This worked examples worksheet on converting units covers converting between metric units of measures, metric and imperial units of measures, converting between units of time and reading a timetable. 

Download Year 5 Measurement Worksheets: Worked Examples

Year 5 Maths Worksheets for converting units: Code Crackers

There are a lot of facts to remember when learning about converting units. This fun worksheet recaps the key facts of converting between metric units of measure (including converting between units of time). 

Download Year 5 Measurement Worksheets: Code Crackers

Year 5 Maths Worksheets for converting units: Independent Recap

These easy to follow independent recap worksheets cover a range of converting units content to help secure children’s understanding of the topic. The worksheets include converting between units of metric measures, converting between metric and imperial units, converting between units of time and reading timetables.

Download Year 5 Measurement Worksheets: Independent Recap

Year 5 Maths Test: All topics

As a child gets closer to Year 6 and the Key Stage 2 SATs, it’s important they get used to the timings and styles of questions they might face. Our Year 5 maths tests includes two assessments – one arithmetic paper and one reasoning paper – with SATS style questions created by our curriculum experts, answers and a mark scheme with detailed explanations of how to solve each question. 

Both papers should take about one hour to complete, and cover every part of the curriculum, from place value to geometry and 3d shapes. This makes them useful for checking children’s overall understanding of the maths they’ve learned in Year 5, as well as providing them with exam practice.  

Download free Year 5 Maths Test

Year 5 Maths Test: Times Tables

While Year 5 children are past the newly introduced multiplication tables check, knowing your times tables is a key part of many other maths topics they will learn. So it’s always worth keeping up with practice, and these quick worksheets help a child see exactly which ones they know by heart, and which they struggle with. 

Download the free Year 3 Times Tables Tests

Also in this series…

• Year 2 Maths Curriculum Toolkit for 6 & 7 Year Olds
• Year 2 Maths Worksheets
• Year 3 Maths  Curriculum Toolkit for 7 & 8 Year Olds
• Year 3 Maths Worksheets
• Year 4 Maths Curriculum Toolkit for 8 & 9 Year Olds
• Year 4 Maths Worksheets
• Year 6 Maths Curriculum Toolkit for 10 & 11 Year Olds
• Year 6 Maths Worksheets

DO YOU HAVE PUPILS WHO NEED MORE SUPPORT IN MATHS?

Every week Third Space Learning’s maths specialist tutors support thousands of students across hundreds of schools with weekly primary school tuition designed to plug gaps and boost progress.

Since 2013 these personalised one to one lessons have helped over 150,000 primary and secondary students become more confident, able mathematicians.

Learn about the Year 3-5 programme or request a personalised quote for your school to speak to us about your school’s needs and how we can help.

Related articles

Revision Techniques: A Comprehensive Guide To Help Your Students Revise 

Free KS2 Maths Worksheets For Year 3 To Year 6: Downloadable And Following A Maths Mastery Approach

Free Year 2 Maths Worksheets And Homework: Printable, Downloadable Or Just View Online

The Maths Resources You Need Whatever Your Approach To Primary School Maths Lessons After Lockdown

FREE Fluent in Five Weeks 1 to 6 (Years 1 to 6)

Easy to implement daily arithmetic questions to build number fluency and confidence in 5 minutes a day.

Downloaded by 38,840+ teachers.

Privacy Overview

Or search by topic

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

Activity: Addition and subtraction

2. Try the rounding challenge

Rounding is an important skill your child will be expected to use to estimate and to check answers to calculations.

You could help your child to practise rounding with the calculations below. For each sum, you and your child could round the numbers to the nearest 10, 100, or 1000 in order to estimate the answer. Which one of you can get the estimate fastest? Then ask your child to work out the correct answer. Whose estimate was closest to the real answer? You can add an extra element of challenge by using a stopwatch or timer!

3567 + 2332 6102 + 2923 1345 + 3348 8799 – 4889 9833 – 5541

• Age 3–4 (Early Years)
• Age 4–5 (Reception)
• Age 5–6 (Year 1)
• Age 6–7 (Year 2)
• Age 7–8 (Year 3)
• Age 8–9 (Year 4)
• Age 9–10 (Year 5)
• Age 10–11 (Year 6)
• Year 1 (age 5–6)
• Year 2 (age 6–7)
• Year 3 (age 7–8)
• Year 4 (age 8–9)
• Year 5 (age 9–10)
• Year 6 (age 10–11)
• Help with times tables
• Ratio & proportion
• Learning to tell the time
• Numicon parent guide
• MyMaths parent guide
• Maths activity books

Teachers | Pupils | Parents

Collect 1 Mission Credit for each correct Fluency answer or solution…

Collect 3 Mission Credits for each correct iQ answer or solution…

Please use the search bar to filter and find the learning objective required.

Welcome to the home of 1000’s of free Year 5 maths questions. The MyMiniMaths daily tasks for Year 5 are available for every week of the year, providing free help for teachers, pupils and parents. 1000s of free resources are available to support children in their learning both in the classroom and at home. Use the search and filter box below to easily find the outcomes you require.

It is recommended that a topic is selected per week and daily maths tasks accessed using the links provided below. Use each day’s answers to help identify and guide the required support in preparation for the following day’s task. Watch your understanding, application and confidence grow throughout the week. New resources are always being added, so keep checking for updates.

More about Year 5 Maths Questions …

The Year 5 maths curriculum covers a wide range of skills in: number, shape and data. All skills and understanding progresses on from the Year 4 maths learning objectives introducing new learning for the learners to develop.

Year 5 NUMBER …

The four operations – addition, subtraction, multiplication and division take small steps towards Year 6 maths such as introducing long multiplication with a 2-digit number. Place value is extended to larger values too, supporting other areas of the maths curriculum such as read and write numbers up to one million .

Year 5 SHAPE …

Learners knowledge of shape builds on Year 4 maths including a more detailed understanding of angles , 2D shapes and 3D shapes . These skills can be used together in support of a more varied application across multiple learning objectives. These connections and relationships with one another are identified allowing for greater coverage of the full curriculum.

Year 5 DATA …

Year 5 offers a more detailed coverage of representing data in tables, charts and graphs, where learners are expected to both read and interpret information in all types of graphs and charts .

All learning objectives are supported by a Home Learning pack and iQ mastery questions challenge learners’ understanding, application and confidence. The Home Learning packs provide first class opportunities for effective intervention and an ever growing library of help videos for Year 5 maths is available on the MyMiniMaths YouTube channel in support of quality learning.

Year 5 Maths: Practice Questions and Quiz Online

Year 5 Maths Year 5 Science

Year 5 Math Home Learning  

• Year 5  Number and Place Value Practice Questions
• Year 5  Number and Place Value  Study Notes
• Year 5  Number and Place Value Quiz
• Year 5  Maths Fraction Practice Questions
• Year 5  Maths Fraction  Study Notes
• Year 5  Maths Fraction Quiz
• Year 5  Addition and Subtraction Practice Questions
• Year 5  Addition and Subtraction  Study Notes
• Year 5  Addition and Subtraction Quiz
• Year 5  Maths Decimals and Percentages Practice Questions
• Year 5  Maths Decimals and Percentages  Study Notes
• Year 5  Maths Decimals and Percentages Quiz
• Year 5  Maths Measurement online Practice Questions
• Year 5  Maths Measurement  Study Notes
• Year 5  Maths Measurement Quiz
• Year 5  Maths Statistics online Practice Questions
• Year 5  Maths Statistics  Study Notes
• Year 5  Maths Statistics Quiz

The Year 5 math curriculum is designed to build upon the mathematical knowledge and skills developed in previous years. It covers a wide range of topics and concepts, including number sense, arithmetic operations, geometry, measurement, and data handling. Here’s a detailed overview of the Year 5 math national curriculum:

• Read, write, order, and compare numbers up to 1,000,000.
• Recognize the value of each digit in a six-digit number.
• Round any number to the nearest 10, 100, 1,000, 10,000, or 100,000.
• Solve number and place value problems.
• Add and subtract whole numbers with up to 6 digits using efficient methods.
• Use estimation and inverse operations to check answers.
• Solve addition and subtraction problems, including missing number problems.
• Multiply and divide numbers mentally, including decimals and large numbers.
• Use efficient written methods for multiplication and division.
• Solve multiplication and division problems, including scaling problems and finding factors and multiples.
• Recognize and name fractions and mixed numbers.
• Compare and order fractions with different denominators.
• Add and subtract fractions with the same denominator.
• Multiply proper fractions and mixed numbers by whole numbers.
• Solve fraction problems, including finding fractions of amounts and solving problems involving fractions, decimals, and percentages.
• Recognize and understand the relationship between decimals and fractions.
• Convert between decimals and percentages.
• Add, subtract, and compare decimals up to three decimal places.
• Solve decimal and percentage problems, including finding percentages of amounts and solving problems involving discounts and interest.
• Convert between different units of measurement (e.g., kilometers to meters, liters to milliliters).
• Solve problems involving perimeter, area, and volume.
• Estimate and measure angles using a protractor.
• Tell and write the time using the 12-hour and 24-hour clock.
• Solve time problems, including timetables and solving problems involving duration.
• Identify, describe, and classify shapes, including quadrilaterals, pentagons, and hexagons.
• Identify lines of symmetry in 2D shapes.
• Recognize and describe the properties of 3D shapes.
• Identify and describe angles, including right angles, acute angles, and obtuse angles.
• Interpret and present data using bar charts, pictograms, and tables.
• Solve problems involving line graphs and interpret timetables.
• Calculate and interpret the mean as an average.
• Solve statistical and data handling problems, including finding the mode and range.

In addition to these topics, the Year 5 math curriculum also emphasizes problem-solving skills, mathematical reasoning, and the ability to apply mathematical knowledge to real-life situations. It encourages students to develop fluency, accuracy, and efficiency in their mathematical calculations and to use mathematical language and notation correctly.

Maths SATs Worksheet Papers

• Year 5-6 KS2 SATs Style Worksheet 1

Teach Starter, part of Tes Teach Starter, part of Tes

Search  everything  in all resources

Daily Maths Word Problems - Year 5

Updated:  04 Oct 2023

A set of 20 problem solving questions suited to year 5 students.

Non-Editable:  PDF

Pages:  6 Pages

• Curriculum Curriculum:  AUS V8, NSW, VIC, AUS V9
• Adobe Reader (pdf) Sign up to Plus

Get inspired!

Tag #TeachStarter on Instagram for a chance to be featured!

Advance Your Students’ Problem-Solving Skills

This set of problem-solving questions has been designed to support teachers when teaching students about problem-solving in mathematics. It provides students with the opportunity to work through 20 maths word problems, identifying the important information and how they can work it out using a variety of methods.

An answer sheet has been included. Use this resource in conjunction with the Daily Maths Problems PowerPoint.

NAPLAN Year 5 Maths Preparation

These simple problem-solving questions are also a great way to help students understand some of the word problems they may encounter when sitting NAPLAN. It’s important to give your students strategies that they can draw on when presented with a word problem in maths. Using these problem-solving questions here are some suggested strategies you can empower your students with:

• Daily practice. After spending time explicitly explaining how to work through a word problem – use the word problems from these worksheets as daily problem-solving practice.
• Teach them the strategies. There are many ways students can solve maths word problems such as; breaking the word problem into smaller parts and drawing a picture to visualise what the problem is asking.
• Underline. Teach your students to underline the important parts of a maths word problem – remind them that there is often trick information in word problems that they don’t need to solve the problem.

How to Use This Resource

Once you download the PDF, there are many ways you can use the resource. Here are some suggestions:

• Print and create booklets for your students to use.
• Cut and laminate each word problem and have students use mini whiteboard markers to solve one problem a day.

Teach Starter Publishing

We create premium quality, downloadable teaching resources for primary/elementary school teachers that make classrooms buzz!

Write a review to help other teachers and parents like yourself. If you'd like to request a change to this resource, or report an error, select the corresponding tab above.

No comments yet.

Suggest a Change

Would you like something changed or customised on this resource? While our team makes every effort to complete change suggestions, we can't guarantee that every change will be completed.

Report an Error

Did you spot an error on this resource? Please let us know and we will fix it shortly.

Are you having trouble downloading or viewing this resource? Please try the following steps:

• Check that you are logged in to your account
• For premium resources, check that you have a paid subscription
• Check that you have installed Adobe Reader ( download here )

If you are still having difficulty, please visit the Teach Starter Help Desk or contact us .

You may also like

• Whole Number Operations →
• Word Problems →
• Worksheets →
• Teacher Planning →
• NAPLAN Year 5 →

Random Numbers MAB Flashcards 100-10000

A set of 40 MAB flashcards of random numbers between 100 and 10000.

Place Value Cards - 10 000, 1000, 100, 10, 1

A set of place value cards to help students explore and expand larger numbers.

Percy's Place Value Puzzle

A worksheet to use to consolidate student understanding of place value to the thousands.

Identifying and Naming Angles – Cut-and-Paste Worksheet

Identify acute, right, obtuse, straight, reflex and revolution angles with this cut-and-paste sorting worksheet.

Piggy Bank Pigs - Australian Coins

Piggy Bank Pigs are a fun, hands on way for students to learn each of the coins and how their values add up to a certain amount.

Desk Plate Alphabet and Number Line - Butterflies and Lady Bugs

Lower Grade Desk Plates with the alphabet, number line and student's name on them.

Area of 2D Shapes Posters

Area of 2D Shapes - so many rules and formulas to remember!

Location Maths Investigation - Blackbeard's Bounty

A mathematics investigation about location, embedded in a real-world context.

Area And Perimeter Task Cards

Use these area and perimeter task cards in your maths lessons to give your students practice solving real-world word problems.

Identifying Numbers PowerPoint

A 14 page editable PowerPoint presentation to use when teaching number recognition to younger students.

Reasoning/Problem Solving Maths Worksheets for Year 5 (age 9-10)

Real life problem solving.

A collection of problem solving activities based on real life situations.

Some of the questions are quite long, but they can be answered with a single step operation.

Using bar models to help understand what to do to solve multi-step problems.

Much trickier questions as they all need more than one step to reach the right answer.

Multi-step problems with shopping.

Tricky multi-step problems on thew theme of hobbies.

Multi-step problems: using cards.

Multi-step problems: using place value charts.

Buying snacks and drinks from a vending machine.

Straightforward addition of money which can be done mentally, maybe using jottings to help.

Work out the cost of the plants from the information given.

Addition of money to really stretch the brain!

Choosing sets of meals to save money with the meal deal.

Solving problems involving '3 for 2' voucher offer.

Solving money problems with 3 for 2 offers and percentages.

More percentage problems.

Money, money, money! Lots of money questions which will need a lot of working out!

Tricky word problems needing more than one step to solve.

Questions all on the theme of measurement, including length, capacity and weight.

Hours, minutes seconds are all found in these questions on time.

Find the number from the clues given.

Solve multi-step problems and check by carrying out inverse operations.

Find the largest and smallest numbers and the difference between them.

Not so much the correct answer needed; more choosing the method and an explanation of how to solve the problem.

Fractions, decimals and divisibility

Problem solving involving fractions, decimals and tests of divisibility.

Finding facts about decimal fractions, including bar modelling.

Finding facts about decimal fractions, including using bar modelling to help.

Order decimals.

Find half way between two decimals.

Word problems with decimals.

Ordering fractions.

Some tests of divisibility are easy, such as divisible by 2, 5 or 10. Others, such as divisible by 6 or 8 are much harder.

Challenges and investigations

Further challenges, investigations and games requiring sound mathematical thinking and working in a systematic way.

More on odd and even numbers, plus a little bit on multiples.

Place the digits in the rows and columns to make the total shown in the middle.

Some great ideas for children to use as starting points to investigate further.

Find examples to back up general statements about numbers, shape etc.

Binary trees are often used in science, but here we use them to sort numbers.

A look at some of the maths concepts involved with investigations in year 5.

Subscribe to our newsletter

The latest news, articles, and resources, sent to your inbox weekly.

© Copyright 2011 - 2024 Route One Network Ltd. - URBrainy.com 11.0.10

Popular searches in the last week:

Problem-solving maths investigations for year 5.

Hamilton provide an extensive suite of problem-solving maths investigations for Year 5 to facilitate mathematical confidence, investigative inquiry and the development of maths meta skills in 'low floor – high ceiling' activities for all.

Explore all our in-depth problem solving investigations for Year 5 .

Use problem-solving investigations within every unit to encourage children to develop and exercise their ability to reason mathematically and think creatively.

Investigations provide challenges that offer opportunities for the development of the key mathematical skills while deepening conceptual understanding. They are designed to be accessible in different ways to all children. An added bonus is the substantial amount of extra calculation practice they often incorporate! The problems are designed to help children identify patterns, to explore lines of thinking and to reason and communicate about properties of numbers, shapes and measures.

Hamilton provide a mix of our own specially commissioned investigations, that include guidance for teachers together with a child-friendly sheet to guide your pupils through the investigation, as well as links to investigations on other highly regarded websites.

I am very grateful for Hamilton Trust resources, particularly the maths investigations. Julia, teacher in Wiltshire

You can find Hamilton's investigations for Year 5:

• Individually, they are incorporated into every unit in our Year 5 flexible maths blocks .
• Collectively, they appear on our resources page where you can explore all our in-depth problem solving investigations for Year 5 .

Do read our extensive range of advice for more information about the investigations and for tips on how to use them effectively.

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.

Hamilton’s Problem-solving Investigations provide school-wide solutions to the challenges of building investigative skills from Early Years to Year 6.

This site uses cookies to give you the most relevant information. Learn more

Log in or sign up to get access to this resource

School subscription, reduce teacher workload.

From £155 (+ VAT) per year. Access to all key stages for multiple users.

Individual Subscription

For inspirational teaching.

Just £45 (£37.50 + VAT) per year to get access to all resources.

Early Career Teacher

Develop your teaching.

Just £33 (£27.50 + VAT) to get access to all resources for 2 years.

Taster Account

100s of resources.

Register to access all free resources.

Already subscribed?

Log in to get access.

Planning tool

Year levels.

• {{PlanningToolMenuItem.Name}}

Expected level of development

Australian Curriculum Mathematics V9 : AC9M5N06, AC9M5N07

Numeracy Progression : Interpreting fractions: P8, Multiplicative strategies: P7

At this level, students learn efficient ways to multiply and divide numbers using increasingly sophisticated strategies. They develop flexible strategies to solve multiplication facts and related division facts and consolidate automatic recall. They identify and describe factors and multiples of whole numbers and use them to solve problems.

Use classroom talks to help students work collaboratively to build their strategies to solve multiplication problems.

• Show how a doubling strategy can simplify a multiplication problem.
• Model place value partitioning strategies to multiply larger numbers by one-digit and two-digit numbers. For example, to multiply 24 x 12, first multiply 10 x 24 and then multiply 2 x 24 and add the two products together. Use area models and arrays to show partitioning.
• Make explicit how factors can be used to simplify calculations. For example, 15 x 16 can be simplified into 5 x 3 x 4 x 4 and rearranged to 5 x 4 x 3 x 4 = 240 to make the calculation easier. The rearranging of these numbers contextualises the commutative and distributive properties of multiplication.

Provide opportunities to solve division problems presented as number stories in familiar contexts. Where there is a remainder, have students interpret the meaning and represent the problem. Discuss the situations where a remainder needs to be rounded, for example, when dealing with passenger numbers on a train.

Encourage students to solve simple division problems mentally drawing on the known multiplication facts. For example, when given the problem of sharing 36 stickers between 9 people, students see the problem as 36 divided by 9 and use their times table facts of 9 x 4 = 36 to work out how many 9s make 36.

Teaching and learning summary:

• Develop efficient strategies for multiplying and dividing numbers.
• Connect concrete, visual and abstract representations of multiplicative situations using familiar contexts.
• Interpret and represent the remainder in division calculations.

• solve problems involving multiplication of large numbers by one-digit or two-digit numbers using efficient mental strategies, written strategies and appropriate digital technologies
• solve problems involving division by a one-digit number, including those that result in a remainder
• identify and describe factors and multiples of whole numbers and use them to solve problems.

Some students may:

• say ‘3 into 15’ to solve the division problem, which may indicate they have limited understanding of the meaning of division
• have little understanding of what the remainder represents
• have difficulty matching materials and representations to number problems
• get confused when a division answer includes a zero, for example, when dividing 6,540 by 5, they don’t record 0 as it means nothing so write the answer as 138 instead of 1,308.

To address these problems, use classroom talks to show different representations of division, using correct terminology when discussing division problems, and using efficient strategies to solve the problems. Discuss problems with and without remainders and use examples to show what the remainder means.

The Learning from home activities are designed to be used flexibly by teachers, parents and carers, as well as the students themselves. They can be used in a number of ways including to consolidate and extend learning done at school or for home schooling.

Learning intention

• We are learning that division is the ‘sharing’ of items, and that sometimes division can result in remainders if the items can’t be evenly shared.

Why are we learning about this?

• Being able to fluently divide numbers and explain my thinking builds number sense and is helpful when solving more complex problems.
• Open the link to the Remainders game.
• Watch the video to learn how to play the game.
• Collect the resources listed below the video. Note: if you don’t have counters, find 24 objects that are the same items, for example, paperclips or pasta shells.
• Play the game with a friend or family member.

Success criteria

• solve problems involving division and explain my thinking.

Please note:  This site contains links to websites not controlled by the Australian Government or ESA. More information  here .

Go to section

Teaching strategies.

A collection of evidence-based teaching strategies applicable to this topic. Note we have not included an exhaustive list and acknowledge that some strategies such as differentiation apply to all topics. The selected teaching strategies are suggested as particularly relevant, however you may decide to include other strategies as well. 

Concrete, Representational, Abstract (CRA model)

The CRA model is a three-phased approach where students move from concrete or virtual manipulatives, to making visual representations and on to using symbolic notation.

Explicit teaching

Explicit teaching is about making the learning intentions and success criteria clear, with the teacher using examples and working though problems, setting relevant learning tasks and checking student understanding and providing feedback.

Collaborative learning

For group work to be effective students need to be taught explicitly how to work together in different settings, such as pairs or larger groups, and they need to practise these skills.

Multiple exposures

Providing students with multiple opportunities within different contexts to practise skills and apply concepts allows them to consolidate and deepen their understanding.

Classroom talks

Classroom talks enable students to develop language, build mathematical thinking skills and create mathematical meaning through collaborative conversations.

Teaching resources

A range of resources to support you to build your student's understanding of these concepts, their skills and procedures. The resources incorporate a variety of teaching strategies.

reSolve: Multiplication: reSolve bakery

A series of inquiry-based lessons that investigate strategies for multi-digit multiplication.

reSolve bakery 1

This video invites students to reason in different ways when calculating the total in an array, encouraging the use of mental multiplication strategies.

reSolve bakery 2

This video models and compares different multiplication strategies for solving a mathematical problem.

reSolve bakery 3

This video models and compares different multiplication strategies and draws on various concepts, including two-digit multiplication, shape and area.

Using mates

In this lesson, students solve problems using the associative rule.

Growing garlic

Use this interactive tool to discuss remainders in division problems.

Divide it up: puppies

Use this interactive game to learn about equal sharing and division, including a remainder.

The divider: with or without remainders

Use this interactive game to solve division problems with and without a remainder.

Multiplication squares

This problem requires learners to find common factors and offers a context in which they can explain their reasoning.

Multiple multiplication methods

In this lesson students focus on using place value, tidy numbers, and doubling and halving strategies to solve multiplication problems.

How would you solve 25 x 18?

Use this video to discuss efficient strategies to solve a two-digit multiplication problem.

Multiplication: 2 digit by 2 digit numbers: Video and teaching guide

Use this video to explore multiplicative strategies, methods and models to solve a given worded problem.

Relevant assessment tasks and advice related to this topic.

By the end of Year 5, students use their proficiency with multiplication facts and efficient calculation strategies to multiply large numbers by one-digit and two-digit numbers and divide by single-digit numbers.

Mathematics: Year 5: ACARA

Refer to work sample 12 ‘Number: How do I check my work?’ to assess students’ proficiency with multiplication facts and efficient calculation strategies.

• International
• Education Jobs
• Schools directory
• Resources Education Jobs Schools directory News Search

Year 5 mixed operation word problems

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

Last updated

12 May 2020

• Share through email
• Share through twitter
• Share through linkedin
• Share through facebook
• Share through pinterest

A range of mixed operation Maths word problems that are in line with NC targets for Year 5 but suitable across all of Key Stage Two

Creative Commons "Attribution"

Your rating is required to reflect your happiness.

It's good to leave some feedback.

Something went wrong, please try again later.

Thanks a lot! The exercises have been really helpful to my students ;-)

Empty reply does not make any sense for the end user

Report this resource to let us know if it violates our terms and conditions. Our customer service team will review your report and will be in touch.

Not quite what you were looking for? Search by keyword to find the right resource:

Summer and Fall classes are open for enrollment. Schedule today !

Something appears to not have loaded correctly.

Click to refresh .

Full-Length SAT Suite Practice Tests

Find full-length practice tests on Bluebook™ as well as downloadable paper (nonadaptive) practice tests to help you prepare for the SAT, PSAT/NMSQT, PSAT 10, and PSAT 8/9.

SCOTUS ruling on homeless camps opens door to tougher crackdowns in Utah

Friday’s ruling will give cities more latitude in enforcing no-camping ordinances..

(Trent Nelson | The Salt Lake Tribune) A "No Camping" sign at Taufer Park in Salt Lake City on Thursday, Nov. 9, 2023.

Salt Lake City could get tougher on its enforcement of homeless camps following a new U.S. Supreme Court ruling.

Friday’s 6-3 court decision along ideological lines found that enforcing no-camping laws on public property does not constitute “cruel and unusual punishment,” giving cities the option to enforce camping bans regardless of shelter availability.

“Homelessness is complex. Its causes are many,” Justice Neil Gorsuch wrote in the court’s majority opinion. “So may be the public policy responses required to address it … A handful of federal judges cannot begin to ‘match’ the collective wisdom the American people possess in deciding ‘how best to handle’ a pressing social question like homelessness.”

The decision is a break from a previous ruling by the 9th U.S. Circuit Court of Appeals in another case. In that instance, the appellate court ruled that governments may not enforce camping bans if no shelter options are available. Salt Lake City, while not in the 9th Circuit, has relied on this ruling to justify its approach to camping enforcement.

Authorities in Utah’s capital sharpened their focus late last year in cracking down on homeless camps . Under the Salt Lake City Police Department’s enforcement initiative , officers focus on moving people out of public places and into shelter when it is available. Enforcement relaxes when shelters are full.

Could more crackdowns be coming?

Now, under the high court’s ruling, the legal justification Salt Lake City used for its enforcement approach has vanished, and homeless camps may be broken up regardless of whether shelter options exist.

It isn’t yet clear whether that will happen.

The city attorney’s office is still reviewing the court’s decision and how it will impact camping ordinances, Andrew Wittenberg, a spokesperson for Mayor Erin Mendenhall, said in a statement.

“Salt Lake City has and will continue to enforce local ordinances to keep public spaces open, clean and safe for everyone to enjoy,” Wittenberg said. “We continue to be committed to working with our county and state partners to address homelessness most directly through evidenced-based interventions including housing, emergency shelter and coordinated services that are in too short supply.”

(Francisco Kjolseth | The Salt Lake Tribune) A homeless camp is pictured next to the Jordan River across from Cottonwood Park in Salt Lake City on Monday, April 29, 2024.

The city could face pressure from the state to take a more hardline approach. This year, legislators allowed the state board of homeless services to divert funding from cities that host shelters if local authorities don’t enforce camping bans.

Salt Lake City is eligible to receive nearly $3 million annually for hosting homeless shelters, and it could get more cash for hosting winter overflow shelter space.

It’s also unclear whether state officials intend to require cities to enforce camping bans even when no shelter is available. A spokesperson for Gov. Spencer Cox’s office did not respond to a request for comment.

State homelessness coordinator Wayne Niederhauser said in a statement that his office is still working to determine how Friday’s decision will affect local governments.

“The Utah Office of Homeless Services prioritizes the need for shelter and housing for those experiencing homelessness,” Niederhauser said. “They are our family, friends and neighbors and deserving of human dignity. No one should have to live in a place not meant for human habitation, and it is essential to enforce local laws for the safety of all in our communities.”

Advocacy groups split on court ruling

(Rick Egan | The Salt Lake Tribune) As authorities gather near a homeless camp off Victory Road in Salt Lake City, people drag their belongings away from the site, Thursday, Dec. 14, 2023.

Solutions Utah, a group focused on homelessness policy in the Beehive State, lauded the court’s ruling and called on cities to take a tougher approach to enforcement.

“With this enforceable authority, cities can keep their parks, streets, sidewalks and other public places open, safe, clean and accessible for their intended uses,” the organization said in a statement. “Now the state of Utah, with its communities, cities, and counties, has the legal responsibility to enforce anti-camping and related laws, and we encourage all to do so.”

Bill Tibbitts, deputy executive director of the nonprofit Crossroads Urban Center , said the court’s ruling could lead to cities criminalizing homelessness, which “never works.” Unless there’s a bigger jail, he added, authorities will never be able to arrest everyone who needs to sleep outside.

If those who need tents in the frigid winter months aren’t able to use them, they could die, he said. Stricter enforcement, he contended, would result in unsheltered people hiding in public areas so they are able to sleep.

“You may not like seeing a tent,” he said, “but you’re probably going to be less happy if people are pushed out of the parks and you find them hiding in the bushes in your front yard.”

Donate to the newsroom now. The Salt Lake Tribune, Inc. is a 501(c)(3) public charity and contributions are tax deductible

RELATED STORIES

Utah finally solves a basic math problem. the answer could get hundreds of people off the streets., salt lake city police want more cash to enforce crackdown on homeless camps, utah has its eye on a location for a permanent homeless camp. here’s where., ‘5 minutes to begin packing’ — slc mayor erin mendenhall orders crackdown on homeless camps, sean durzi, utah hockey club agree to 4-year extension, utah royals fire coach with team in last place, look ahead: local events and things to do this week, june 30-july 6, opinion: we all love utah’s public lands, but let’s be honest about motorized use, letter: we don’t want to acknowledge we are the cause. but the border crisis is our fault., featured local savings.