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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?

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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.

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Free Year 5 worksheets

Help your students master Year 5 skills with our wonderful Free Year 5 worksheets. With just 5 to 10 minutes a day, your students can horn in there class.

Our amazing worksheets will give your children plenty of practice to excel in all the topics including arithmetic, reasoning, spelling and, spelling punctuation and grammar. All the sheets are fully aligned with the British National Curriculum.

The engaging worksheets focus on a variety of skills and topics including rounding, multiplication, decimals, fraction, adverb, model verb, fronted adverbial and much more… These easy handy sheets are perfect as a daily warm-up, morning work, homework or review.

Also Read: What is a fronted adverbial? FREE word mat & worksheets

Free Year 5 Worksheets (Maths and English) ​

New worksheets posted daily!

Why not have a look at our daily worksheets for other year groups to keep children on track while they are at home:

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• Home Learning
• White Rose Maths Worksheets

Week 11 Worksheets

• Lesson 1 - Regular and irregular polygons.pdf
• Lesson 2 - Reasoning about 3D shapes.pdf
• Lesson 3 - Reflection.pdf
• Lesson 4 - Translation.pdf

Week 11 Answers

• Lesson 1 Answers - Regular and irregular polygons.pdf
• Lesson 2 Answers - Reasoning about 3D shapes.pdf
• Lesson 3 Answers - Reflection.pdf
• Lesson 4 Answers - Translation.pdf

Week 10 Worksheets

• Lesson 1 - Measuring with a protractor (2).pdf
• Lesson 2 - Drawing lines and angles accurately.pdf
• Lesson 3 - Calculating angles on a straight line.pdf
• Lesson 4 - Calculating angles around a point.pdf

Week 10 Answers

• Lesson 1 Answers - Measuring with a protractor (2).pdf
• Lesson 2 Answers - Drawing lines and angles accurately.pdf
• Lesson 3 Answers - Calculating angles on a straight line.pdf
• Lesson 4 Answers - Calculating angles around a point.pdf

Week 9 Worksheets

• Lesson 1 - Subtracting decimals with the same number of decimal places.pdf
• Lesson 2 - Subtracting decimals with a different number of decimal places.pdf
• Lesson 3 - Multiplying decimals by 10 100 and 1000.pdf
• Lesson 4 - Dividing decimals by 10 100 and 1000.pdf

Week 9 Answers

• Lesson 1 Answers - Subtracting decimals with the same number of decimal places.pdf
• Lesson 2 Answers - Subtracting decimals with a different number of decimal places.pdf
• Lesson 3 Answers - Multiplying decimals by 10 100 and 1000.pdf
• Lesson 4 Answers -Dividing decimals by 10 100 and 1000.pdf

Week 9 Alternatives

• Y5 Week 9 Alternative Plan.pdf
• Lesson 1 - Read and interpret tables.pdf
• Lesson 2 - Two way tables.pdf
• Lesson 1 Answers - Read and interpret tables.pdf
• Lesson 2 Answers - Two way tables.pdf

Week 8 Worksheets

• Lesson 1 - Understand percentages 2019.pdf
• Lesson 2 - Percentages as fractions and decimals 2019.pdf
• Lesson 3 - Adding decimals with the same number of decimal places 2020.pdf
• Lesson 4 - Adding decimals with a differen number of decimal places 2020.pdf

Week 8 Answers

• Lesson 1 Answers - Understand percentages 2019.pdf
• Lesson 2 Answers - Percentages as fractions and decimals 2019.pdf
• Lesson 3 Answers - Adding decimals with the same number of decimal places 2020.pdf
• Lesson 4 Answers - Adding decimals with a differen number of decimal places 2020.pdf

Week 8 Alternatives

• Y5 Week 8 Alternative Plan.pdf
• Lesson 1 - Multi-step addition and subtraction problems 2019.pdf
• Lesson 2 - Read and interpret line graphs 2019.pdf
• Lesson 3 - Draw line graphs 2019.pdf
• Lesson 4 - Use line graphs to solve problems 2019.pdf
• Lesson 1 Answers - Multi-step addition and subtraction problems 2019.pdf
• Lesson 2 Answers - Read and interpret line graphs 2019.pdf
• Lesson 3 Answers - Draw line graphs 2019.pdf
• Lesson 4 Answers - Use line graphs to solve problems 2019.pdf

Week 7 Worksheets

• Lesson 1 - Decimals as fractions (2) 2019.pdf
• Lesson 2 - Understand thousandths 2019.pdf
• Lesson 3 - Rounding decimals 2019.pdf
• Lesson 4 - Order and compare decimals 2019.pdf

Week 7 Answers

• Lesson 1 Answers - Decimals as fractions (2) 2019.pdf
• Lesson 2 Answers - Understand thousandths 2019.pdf
• Lesson 3 Answers - Rounding decimals 2019.pdf
• Lesson 4 Answers - Order and compare decimals 2019.pdf

Week 7 Alternatives

• Y5 Week 7 Alternative Plan.pdf
• Lesson 1 - Add whole numbers with more than 4 digits (column method) 2019.pdf
• Lesson 2 - Subtract whole numbers with more than 4 digits (column method) 2019.pdf
• Lesson 3 - Round to estimate and approximate 2019.pdf
• Lesson 4 - Inverse operations (addition and subtraction) 2019.pdf
• Lesson 1 Answers - Add whole numbers with more than 4 digits (column method) 2019.pdf
• Lesson 2 Answers - Subtract whole numbers with more than 4 digits (column method) 2019.pdf
• Lesson 3 Answers - Round to estimate and approximate 2019.pdf
• Lesson 4 Answers - Inverse operations (addition and subtraction) 2019.pdf

Week 6 Worksheets

• Lesson 1 - Multiply unit and non-unit fractions by integers.pdf
• Lesson 2 - Multiply mixed numbers by integers 2019.pdf
• Lesson 3 - Fractions of an amount 2019.pdf
• Lesson 4 - Fractions as operators 2019.pdf

Week 6 Answers

• Lesson 1 Answers - Multiply unit and non-unit fractions by integers.pdf
• Lesson 2 Answers - Multiply mixed numbers by integers 2019.pdf
• Lesson 3 Answers - Fractions of an amount 2019.pdf
• Lesson 4 Answers - Fractions as operators 2019.pdf

Week 5 Worksheets

• Lesson 1 - Add and subtract fractions 2019.pdf
• Lesson 2 - Add fractions 2019.pdf
• Lesson 3 - Add mixed numbers 2019.pdf
• Lesson 4 - Subtract mixed numbers 2019.pdf

Week 5 Answers

• Lesson 1 Answers - Add and subtract fractions 2019.pdf
• Lesson 2 Answers - Add fractions 2019.pdf
• Lesson 3 Answers - Add mixed numbers 2019.pdf
• Lesson 4 Answers - Subtract mixed numbers 2019.pdf

Week 4 Worksheets

• Y5 Lesson 1 Area of rectangles 2019.pdf
• Y5 Lesson 2 Equivalent fractions 2019.pdf
• Y5 Lesson 3 Convert between Improper and mixed numbers 2019.pdf
• Y5 Lesson 4 Compare and order fractions less than 1 2019.pdf

Week 4 Answers

• Lesson 1 Answers Area of rectangles 2019.pdf
• Lesson 2 Answers Equivalent fractions 2019.pdf
• Lesson 3 Answers Convert between Improper and mixed numbers 2019.pdf
• Lesson 4 Answers Compare and order fractions less than 1 2019.pdf
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Visual maths worksheets, each maths worksheet is differentiated and visual.

Year 5 Maths Worksheets

Our Year 5 Maths Worksheets are an excellent resource for students (aged 9-10) to practice and strengthen their maths skills. With clear instructions and plenty of examples, these worksheets are suitable for independent learning at home or in the classroom. They help pupils develop their problem-solving abilities while also reinforcing previously learnt concepts. All Year 5 Cazoom Maths PDF worksheets provide a wide range of questions and activities that cover all the critical topics from numbers, algebra, geometry, measurement and statistics. These worksheets are designed to challenge and assess pupils’ understanding and strengthen knowledge of decimals, fractions, rounding numbers, prime numbers, angles, reading from timetables and more.

MATHS WORKSHEETS FOR YEAR 5 STUDENTS

Try some free sample year 5 maths worksheets

Outstanding Year 5 Maths Worksheets

• Separate answers are included to make marking easy and quick.
• Over 100 pages of the highest quality year 5 maths worksheets. Each worksheet is differentiated, including a progressive level of difficulty as the worksheet continues.
• Single user licence for parents or teachers. Separate school licences are also available.
• Single digital pdf download, with worksheets organised into high level chapters of Number, Measurement and Geometry, and further by subtopics. See below for the extensive range of sheets included.

FUN and ENgaging Maths Worksheets

Our maths worksheets are thoughtfully designed to make mathematical problems great fun for your year 5 students. 

This range of year 5 maths worksheets PDF are designed with colour and with the space for children to show their working. Our resources are perfect practice material for helping your child learn maths, enhance their reasoning skills, and for pupils to develop their mathematical knowledge.

Some of our most popular resources include those on multiplication word problems, measuring angles, ordering fractions, and even roman numerals!

With over 200 pages of mathematical problems for your students to work through, Cazoom Maths worksheets are the perfect way for your year 5 students to develop their mathematical skills . 

ALL YEAR 5 TOPICS COVERED

Cazoom Maths pdf year 5 maths worksheets cover all topics in the curriculum at this formative stage for young learners.

We have worksheets covering addition and subtraction, place value, missing numbers, and resources requiring students to identify the correct number.  The range also includes lots of different exercises of topics like equivalent fractions, formal written methods, number and place value, negative numbers, and much more.

Our resources include real life problems such as how to interpret different until, and use metric measures. Covering such a comprehensive range of maths topics, Cazoom has everything needed to help children practice their year 5 maths skills. 

List of Topics

See below the list of topics covered. All KS1 and KS2 worksheets can be accessed here.

• Adding to a Single Digit
• Adding to a Two Digit Number
• Adding to a Three Digit Number
• Adding Three Numbers
• Number Bonds up to 20
• Number Bonds over 20

SUBTRACTION

• Single Digit Subtraction
• Two Digit Subtraction
• Three Digit Subtraction
• Working with the Difference
• Multiplication and Division worksheets
• Number and Place Value Worksheets
• Fractions, Decimals and Percentages

MEASUREMENT

• Metric Measures
• Area and Perimeter
• Properties of Shapes
• Position and Direction
• Transformations

ALGEBRA & STATISTICS

📝 NEW NATIONAL NUMERACY DAY WORKSHEETS ADDED - CLICK HERE TO DOWNLOAD NOW ✅

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Mental Maths Practise Year 5

Welcome to the Math Salamanders Year 5 Mental Maths Practise sheets. Here you will find a wide range of Mental Maths Worksheets aimed at Year 5 children which will help your child to learn number facts and practise their number skills.

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Mental Maths Worksheets

Our selection of mental maths worksheets is a great way of practising your number and maths skills.

The sheets can be used in a variety of ways, as a test or revision practise, or as part of a weekly quiz to help reinforce skills.

They can also be used as an oral and mental starter to a lesson to get brains working!

One of the best ways to use these sheets is to get children to work in pairs, discussing the questions as they work through them.

The questions have been designed to practise a range of maths skills from number to geometry and measurement facts, including using time and money.

The quizzes are in order of difficulty with the questions getting slightly harder in each quiz.

Our Year 5 Mental Math Worksheets contain a wide range of different questions and math skills.

Each sheet contains 16 questions, and is provided with an answer sheet.

The level of difficulty gets harder as you progress through the sheets.

The topics covered include:

• mental arithmetic - addition, subtraction, multiplication and division;
• missing fact questions;
• place value questions up to 10000 including decimals;
• geometry questions based around 2d and 3d shape properties;
• money questions;
• fraction and decimal problems;
• measures problems;
• word problems;
• time questions, including date and calendar questions.

Year 5 Mental Math Worksheets

• Year 5 Mental Maths Sheet 1
• PDF version
• Year 5 Mental Maths Sheet 2
• Year 5 Mental Maths Sheet 3
• Year 5 Mental Maths Sheet 4
• Year 5 Mental Maths Sheet 5
• Year 5 Mental Maths Sheet 6
• Year 5 Mental Maths Sheet 7
• Year 5 Mental Maths Sheet 8
• Year 5 Mental Maths Sheet 9
• Year 5 Mental Maths Sheet 10

Looking for some easier Mental Math Worksheets?

The worksheets in this section have been designed for children at a Year 4 level.

The sheets follow the same format as the ones on this page, but are at a simpler level.

• Year 4 Mental Maths Tests

Looking for some harder Mental Math Worksheets?

The worksheets in this section have been designed for children at a Year 6 level.

The sheets follow the same format as the ones on this page, but are at a more advanced level.

• Year 6 Mental Maths Tests

Mental Math Online Practise

If you are looking for some online mental maths practise of Year 5 facts, then we have several practise zones where you can test your knowledge of a range of maths facts and print out your results online.

There are certificates to win, and instant feedback on your progress.

• Online Maths Practise

Fifth Grade Printable Math Games

Here you will find a range of free printable 5th Grade Math games.

All children like to play Math games, and you will find a good range of Grade 5 Math Games here for your child to play and enjoy.

The following games involve different 5th Grade Math activities which you and your child can enjoy together.

• Math Games 5th Grade

Year 5 Online Math Games

Looking for some cool online maths games to play at a Year 5 level?

Try the Primary games website where you will find a bank full of different games to play!

Using the link below will open the primary games website in a new browser window.

• Primary Games for Year 5

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Fifth Grade Math Worksheets

Free & printable grade 5 math worksheets.

Our grade 5 math worksheets cover the 4 operations, fractions and decimals at a greater level of difficulty than previous grades. We also introduce variables and expressions into our word problem worksheets .  

Choose your grade 5 topic:

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Sample Grade 5 Math Worksheet

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Let's teach! Primary

Year 5 Worksheets

Let’s teach! Primary provides a collection of Year 5 worksheets for HASS, science, health and more. These interactive worksheets accompany each curriculum-aligned lesson as downloadable files, meaning they can be completed digitally, or printed and passed out to students.

Let’s teach! Primary (LTP) is a curriculum-aligned digital teaching tool that provides learning content for Years 1 to 6. All content is written to the Australian Curriculum and mapped to both the Victorian and Western Australian Curriculums, as well as the NSW syllabus.

Each learning area is organised into four separate units, with each unit containing lessons and worksheets that are intended to be taught over a term. This structure provides teachers with a flexible program that can be followed prescriptively or adapted.

Lesson plans are included for every Year 5 lesson and work to support teachers in their preparation and delivery of curriculum-aligned learning content. Teaching strategies are suggested at the start of each lesson plan, and differentiation points are provided to allow for easy adaptation to meet classroom needs.

Each lesson uses interactive page sliders which allows teachers to deliver the most engaging content possible, helping students make deeper connections with the learning outcomes while they explore the integrated links, videos, maps and more.

To ensure the completion of the entire teaching process, Let’s teach! Primary provides downloadable worksheets that students can use to consolidate their learning and deepen their understanding with real-world context.

To recap, all you have to do is:

• choose your learning area
• follow the step-by-step lesson plan
• present the student pages and share the worksheets

Let’s teach! Primary  provides full curriculum coverage of every included learning area, with our online presence allowing the platform to be an ever-evolving mapping tool.

Please see all Year 5 Curriculum links below:

SKILLS ST3-1WS-S – Plans and conducts scientific investigations to answer testable questions, and collects and summarises data to communicate conclusions ST3-2DP-T – Plans and uses materials, tools and equipment to develop solutions for a need or opportunity ST3-3DP-T – Defines problems, and designs, modifies and follows algorithms to develop solutions

KNOWLEDGE AND UNDERSTANDING ST3-4LW-S – Examines how the environment affects the growth, survival and adaptation of living things ST3-5LW-T – Explains how food and fibre are produced sustainably in managed environments for health and nutrition ST3-6MW-S – Explains the effect of heat on the properties and behaviour of materials ST3-7MW-T – Explains how the properties of materials determines their use for a range of purposes ST3-8PW-ST – Explains how energy is transformed from one form to another ST3-9PW-ST – Investigates the effects of increasing or decreasing the strength of a specific contact or non-contact force ST3-10ES-S – Explains regular events in the solar system and geological events on the Earth’s surface ST3-11DI-T – Explains how digital systems represent data, connect together to form networks and transmit data. ST2-8PW-ST – Describes the characteristics and effects of common forms of energy, such as light and heat

KNOWLEDGE AND UNDERSTANDING GE3-1 – Describes the diverse features and characteristics of places and environments GE3-2 – Explains interactions and connections between people, places and environments GE3-3 – Compares and contrasts influences on the management of places and environments

SKILLS GE3-4 – Acquires, processes and communicates geographical information using geographical tools for inquiry

HISTORICAL KNOWLEDGE HT3-1 – Describes and explains the significance of people, groups, places and events to the development of Australia HT3-2 – Describes and explains different experiences of people living in Australia over time HT3-3 – Identifies change and continuity and describes the causes and effects of change on Australian society HT3-4 – Describes and explains the struggles for rights and freedoms in Australia, including Aboriginal and Torres Strait Islander peoples

SKILLS HT3-5 – Applies a variety of skills of historical inquiry and communication

KNOWLEDGE AND UNDERSTANDING PD3-1 – Identifies and applies strengths and strategies to manage life changes and transitions PD3-2 – Investigates information, community resources and strategies to demonstrate resilience and seek help for themselves and others PD3-3 – Evaluates the impact of empathy, inclusion and respect on themselves and others PD3-4 – Adapts movement skills in a variety of physical activity contexts PD3-5 – Proposes, applies and assesses solutions to movement challenges PD3-6 – Distinguishes contextual factors that influence health, safety, wellbeing and participation in physical activity which are controllable and uncontrollable PD3-7 – Proposes and implements actions and protective strategies that promote health, safety, wellbeing and physically active spaces PD3-8 – Creates and participates in physical activities to promote healthy and active lifestyles

SKILLS PD3-9 –Applies and adapts self-management skills to respond to personal and group situations PD3-10 – Selects and uses interpersonal skills to interact respectfully with others to promote inclusion and build connections PD3-11 – Selects, manipulates and modifies movement skills and concepts to effectively create and perform movement sequences

Victorian Curriculum

SCIENCE UNDERSTANDING Science as a human endeavour VCSSU073 – Scientific understandings, discoveries and inventions are used to inform personal and community decisions and to solve problems that directly affect people’s lives Biological sciences VCSSU074 – Living things have structural features and adaptations that help them to survive in their environment VCSSU075 – The growth and survival of living things are affected by the physical conditions of their environment Chemical sciences VCSSU076 – Solids, liquids and gases behave in different ways and have observable properties that help to classify them VCSSU077 – Changes to materials can be reversible, including melting, freezing, evaporating, or irreversible, including burning and rusting Earth and space sciences VCSSU078 – Earth is part of a system of planets orbiting around a star (the Sun) VCSSU079 – Sudden geological changes or extreme weather conditions can affect Earth’s surface Physical sciences VCSSU080 – Light from a source forms shadows and can be absorbed, reflected and refracted VCSSU081 – Energy from a variety of sources can be used to generate electricity; electric circuits enable this energy to be transferred to another place and then to be transformed into another form of energy

SCIENCE INQUIRY SKILLS Questioning and predicting VCSIS082 – With guidance, pose questions to clarify practical problems or inform a scientific investigation, and predict what the findings of an investigation might be based on previous experiences or general rules Planning and conducting VCSIS083 – With guidance, plan appropriate investigation types to answer questions or solve problems and use equipment, technologies and materials safely, identifying potential risks VCSIS084 – Decide which variables should be changed, measured and controlled in fair tests and accurately observe, measure and record data Recording and processing VCSIS085 – Construct and use a range of representations, including tables and graphs, to record, represent and describe observations, patterns or relationships in data Analysing and evaluating VCSIS086 – Compare data with predictions and use as evidence in developing explanations VCSIS087 – Suggest improvements to the methods used to investigate a question or solve a problem Communicating VCSIS088 – Communicate ideas and processes using evidence to develop explanations of events and phenomena and to identify simple cause-and-effect relationships

GEOGRAPHICAL CONCEPTS AND SKILLS Place, space and interconnection VCGGC085 – Describe and explain the diverse characteristics of places in different locations from local to global scales VCGGC086 – Identify and describe locations and describe and explain spatial distributions and patterns VCGGC087 – Describe and explain interconnections within places and between places, and the effects of these interconnections Data and information VCGGC088 – Collect and record relevant geographical data and information from the field and secondary sources, using ethical protocols VCGGC089 – Represent the location of places and other types of geographical data and information in different forms including diagrams, field sketches and large-scale and small-scale maps that conform to cartographic conventions of border, scale, legend, title, north point and source; using digital and spatial technologies as appropriate VCGGC090 – Interpret maps and other geographical data and information using digital and spatial technologies as appropriate, to develop identifications, descriptions, explanations and conclusions that use geographical terminology

GEOGRAPHICAL KNOWLEDGE Diversity and significance of places and environments VCGGK091 – Location of the major countries of Europe and North America, in relation to Australia and their major characteristics including the influence of people on the environmental characteristics of places in at least two countries from both continents VCGGK092 – Location of the major countries of the Asian region in relation to Australia and the geographical diversity within the region VCGGK093 – Differences in the demographic, economic, social and cultural characteristics of countries across the world VCGGK094 – Influence of people, including the influence of Aboriginal and Torres Strait Islander peoples, on the environmental characteristics of Australian places VCGGK095 – Impacts of bushfires or floods on environments and communities, and how people can respond VCGGK096 – Environmental and human influences on the location and characteristics of places and the management of spaces within them VCGGK097 – Factors that influence people’s awareness and opinion of places VCGGK098 – Australia’s connections with other countries and how these change people and places

HISTORICAL CONCEPTS AND SKILLS Chronology VCHHC082 – Sequence significant events and lifetimes of people in chronological order to create a narrative to explain the developments in Australia’s colonial past and the causes and effects of Federation on its people Historical sources as evidence VCHHC083 – Identify the origin, content features and the purpose of historical sources and describe the context of these sources when explaining daily life in colonial Australia, reasons for migration and causes and effects of Federation VCHHC084 – Describe perspectives and identify ideas, beliefs and values of people and groups in the past Continuity and change VCHHC085 – Identify and describe patterns of continuity and change in daily life for Aboriginal and Torres Strait Islander peoples, ‘native born’ and migrants in the Australian colonies Cause and effect VCHHC086 – Explain the causes of significant events that shaped the Australian colonies, contributed to Australian Federation and the effects of these on Aboriginal and Torres Strait Islander peoples and migrants Historical significance VCHHC087 – Explain the significance of an event and an individual or group that influenced change in the Australian colonies and in Australian society since Federation

HISTORICAL KNOWLEDGE The Australian colonies VCHHK088 – The social, economic and political causes and reasons for the establishment of British colonies in Australia after 1800 VCHHK089 – The nature of convict or colonial presence, including the factors that influenced changing patterns of development, how the environment changed, and aspects of the daily life of the inhabitants, including Aboriginal and Torres Strait Islander peoples VCHHK090 – The effects of a significant development or event on a colony VCHHK091 – The causes and the reasons why people migrated to Australia from Europe and Asia, and the perspectives, experiences and contributions of a particular migrant group within a colony VCHHK092 – The role that a significant individual or group played in shaping and changing a colony Australia as a nation VCHHK093 – The significance of key figures and events that led to Australia’s Federation, including British and American influences on Australia’s system of law and government VCHHK094 – The different experiences and perspectives of Australian democracy and citizenship, including the status and rights of Aboriginal and Torres Strait Islander peoples, migrants, women, and children VCHHK095 – The stories and perspectives of people who migrated to Australia, including from one Asian country, and the reasons they migrated VCHHK096 – Significant contributions of individuals and groups, including Aboriginal and Torres Strait Islander peoples and migrants, to changing Australian society

PERSONAL, SOCIAL AND COMMUNITY HEALTH Being healthy, safe and active VCHPEP105 – Explore how identities are influenced by people and places VCHPEP106 – Investigate resources to manage changes and transitions associated with puberty VCHPEP107 – Investigate community resources and strategies to seek help about health, safety and wellbeing VCHPEP108 – Plan and practise strategies to promote health, safety and wellbeing Communicating and interacting for health and well being VCHPEP109 – Practise skills to establish and manage relationships VCHPEP110 – Examine the influence of emotional responses on behaviour, relationships and health and wellbeing VCHPEP111 – Recognise how media and important people in the community influence personal attitudes, beliefs, decisions and behaviours Contributing to healthy and active communities VCHPEP112– Investigate the role of preventive health in promoting and maintaining health, safety and wellbeing for individuals and their communities VCHPEP113 – Explore how participation in outdoor activities supports personal and community health and wellbeing and creates connections to the natural and built environment VCHPEP114 – Investigate how celebrating similarities and differences can strengthen communities

Western Australian Curriculum

SCIENCE UNDERSTANDING Biological sciences ACSSU043 – Living things have structural features and adaptations that help them to survive in their environment Chemical sciences ACSSU077 – Solids, liquids and gases have different observable properties and behave in different ways Earth and space sciences ACSSU078 – The Earth is part of a system of planets orbiting around a star (the sun) Physical sciences ACSSU080 – Light from a source forms shadows and can be absorbed, reflected and refracted

SCIENCE AS A HUMAN ENDEAVOUR Nature and development of science ACSHE081 – Science involves testing predictions by gathering data and using evidence to develop explanations of events and phenomena and reflects historical and cultural contributions Use and influence of science ACSHE083 – Scientific knowledge is used to solve problems and inform personal and community decisions

SCIENCE INQUIRY SKILLS Questioning and predicting ACSIS231 – With guidance, pose clarifying questions and make predictions about scientific investigations Planning and conducting ACSIS086 – Identify, plan and apply the elements of scientific investigations to answer questions and solve problems using equipment and materials safely and identifying potential risks ACSIS087 – Decide variables to be changed and measured in fair tests, and observe measure and record data with accuracy using digital technologies as appropriate Processing and analysing data and information ACSIS090 – Construct and use a range of representations, including tables and graphs, to represent and describe observations, patterns or relationships in data using digital technologies as appropriate ACSIS218 – Compare data with predictions and use as evidence in developing explanations Evaluating ACSIS091 – Reflect on and suggest improvements to scientific investigations Communicating ACSIS093 – Communicate ideas, explanations and processes using scientific representations in a variety of ways, including multi-modal texts

KNOWLEDGE AND UNDERSTANDING Factors that shape the environmental characteristics of places ACHASSK111(WA)* – The main characteristics (e.g. climate, natural vegetation, landforms, native animals) of the continents of South America and North America, and the location of their major countries in relation to Australia ACHASSK112 – The way people alter the environmental characteristics of Australian places (e.g. vegetation clearance, fencing, urban development, drainage, irrigation, farming, forest plantations, mining) ACHASSK113 – Features of environments (e.g. climate, landforms, vegetation) influence human activities and the built features of places ACHASSK114 – The impact of bushfires or floods on environments and communities, and how people can respond The Earth’s environment sustains all life ACHASSK087(WA)* – The main characteristics (e.g. climate, natural vegetation, landforms, native animals) of the continents of Africa and Europe, and the location of their major countries in relation to Australia

HUMANITIES AND SOCIAL SCIENCES SKILLS Questioning and researching WAHASS50 – Identify current understandings, consider possible misconceptions and identify personal views on a topic (e.g. KWL chart, concept map) WAHASS51 – Develop and refine a range of questions required to plan an inquiry WAHASS52 – Locate and collect information and/or data from a range of appropriate primary sources and secondary sources (e.g. museums, media, library catalogues, interviews, internet) WAHASS53 – Record selected information and/or data using a variety of methods (e.g. use graphic organisers, paraphrase, summarise) WAHASS54 – Use ethical protocols when gathering information and/or data (e.g. acknowledge the work of others, reference work appropriately, obtain permission to use photographs and interviews) Analysing WAHASS55 – Use criteria to determine the relevancy of information (e.g. consider accuracy, reliability, publication date, usefulness to the question) WAHASS56 – Interpret information and/or data collected (e.g. sequence events in chronological order, identify cause and effect, make connections with prior knowledge) WAHASS57 – Identify different points of view/perspectives in information and/or data (e.g. analyse language, identify motives) WAHASS58 – Translate collected information and/or data to a variety of different formats (e.g. create a timeline, draw maps, convert a table of statistics into a graph) Evaluating WAHASS59 – Draw and justify conclusions, and give explanations, based on the information and/or data in texts, tables, graphs and maps (e.g. identify patterns, infer relationships) WAHASS60 – Use decision-making processes (e.g. share opinions and personal perspectives, consider different points of view, identify issues, develop possible solutions, plan for action, identify advantages and disadvantages of different options) Communicating and reflecting WAHASS61 – Present findings, conclusions and/or arguments, appropriate to audience and purpose, in a range of communication forms (e.g. written, oral, visual, digital, tabular, graphic, maps) and using subject-specific terminology and concepts WAHASS62 – Develop a variety of texts, including narratives, descriptions, biographies and persuasive texts, based on information collected from source materials WAHASS63 – Reflect on learning, identify new understandings and act on findings in different ways (e.g. suggest additional questions to be investigated, propose a course of action on an issue that is significant to them)

*Note: While HASS WA content codes normally match Australian Curriculum content codes, the Year 5 WA Knowledge and Understanding code specifies North America and South America rather than AC’s North America and Europe . Likewise, the Year 4 WA Knowledge and Understanding code specifies Africa and Europe rather than Africa and South America.

KNOWLEDGE AND UNDERSTANDING The Australian colonies ACHASSK106 – The economic, political and social reasons for establishing British colonies in Australia after 1800 (e.g. the establishment of penal colonies) ACHASSK107 – The patterns of colonial development and settlement (e.g. geographical features, climate, water resources, transport, discovery of gold) and how this impacted upon the environment (e.g. introduced species) and the daily lives of the different inhabitants (e.g. convicts, free settlers, Aboriginal and Torres Strait Islander Peoples) ACHASSK110 – The contribution or significance of one individual or group in shaping the Swan River Colony, including their motivations and actions (e.g. groups such as explorers, farmers, pastoralists, convicts or individuals such as James Stirling, John Septimus Roe, Thomas Peel)

PERSONAL, SOCIAL AND COMMUNITY HEALTH Being healthy, safe and active ACPPS051 – Ways that individuals and groups adapt to different contexts and situations ACPPS052 – Changes associated with puberty which vary with individuals: physical; mental; emotional ACPPS053 – Reliable sources of information that inform health, safety and wellbeing, such as: internet-based information; community health organisations; publications and other media ACPPS054 – Strategies that promote a safe, healthy lifestyle, such as: comparing food labels on products; increased physical activity; practising sun safety Communicating and interacting for health and well being ACPPS055 – Skills and strategies to establish and manage relationships over time, such as: exploring why relationships change; assessing the impact of changing relationships on health and wellbeing; building new friendships; dealing with bullying and harassment ACPPS056 – Ways in which inappropriate emotional responses impact on relationships, such as: loss of trust; fear; loss of respect ACPPS057 – Reliable sources of information that inform health, safety and wellbeing, such as: internet-based information; community health organisations; publications and other media Contributing to healthy and active communities ACPPS058 – Preventive health measures that promote and maintain an individual’s health, safety and wellbeing, such as: bicycle safety; sun safety

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• Class Pages
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• Year 5 homework maths pack.docx
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Week Beginning 13/07/2020

• Year 3 to Year-5-Learning-Project-TRANSITION-1.docx
• Maths Lesson-1-Add-and-subtract-fractions-worksheet.pdf
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• grp-1-2-maths-15.7.2020.pdf

Week Beginning 06/07/2020

• Y5&6-Learning-Project-Celebrations.pdf
• Maths online video links linked to each maths lesson.docx
• Maths Lesson 1 - Equivalent fractions.pdf
• Maths Lesson 1 - answers.pdf
• Maths Lesson 2 - Improper fractions to mixed numbers.pdf
• Maths Lesson 2 - answers.pdf
• Maths Lesson 3 - Mixed numbers to improper fractions.pdf
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• Maths Lesson 4 - Fraction sequences.pdf
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• Maths Lesson 5 - Compare and order fractions less than 1.pdf
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• Reading TEXT - Kaspar Prince of Cats - Michael Morpurgo.pdf
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• Group 1 & 2 Maths 08.07.2020.pdf

Week Beginning 29/06/2020

Recorded reading lesson with Mrs O'Brien 30.06.20

Recorded Maths lesson group 3 with Mrs O'Brien Part 1

Recorded Maths lesson group 3 with Mrs O'Brien Part 2

• Y5&6-Learning-Project-FOOD.pdf
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Week Beginning 22/06/2020

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Week Beginning 15/06/2020

• Y5&6-Learning-Project-SPACE.pdf
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• Maths lesson 5 Adding-and-subtracting-wholes-and-decimals-2020.pdf
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• English lesson supporting powerpoint.pptx
• Decimals worksheets lessons 6-10.docx
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• Activity Sheet lesson 1.pdf
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Week Beginning 08/06/2020

• Y5&6-Learning-Project-MUSIC.pdf
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• Metamorphosis lesson 2.pptx
• Activity Sheet Life lesson 3.pdf
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Week Beginning 01/06/2020

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Week Beginning 18/05/2020

• Y5_6-Learning-Project-FAMOUS_SIGNIFICANT-PEOPLE.pdf

Week Beginning 11/05/2020

• Year 5 letter from teachers 11.05.20.docx
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https://www.twinkl.co.uk/go/resource/arithmagic-game-tg2-m-88

https://www.youtube.com/watch?v=J1Teb-_jTyI

Week Beginning 04/05/2020

• Y5_6-Learning-Project-SPORT.pdf
• Fractions lesson worksheets lesson 5-10.pdf
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• Comparing-life-cycles-powerpoint.pptx
• Year 5 letter from teachers 04.05.20.docx
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Class 11 Maths Projects Ideas: Check 5 Most Interesting Project Topics for Summer Vacation Homework

Maths Project Ideas for Class 11: Check the top 5 Mathemtics project ideas for Class 11 students of all boards. These project ideas are best for summer vacation homework that will help students enhance their mathematical skills.

Maths Project Ideas for Grade 11: Projects are an essential component of education, providing students with hands-on experiences that help them get better insights into concepts. In mathematics, projects enable students to apply theoretical concepts to real-world scenarios, enhancing their critical thinking skills. Including engaging and challenging projects in the homework for summer vacation ensures that students remain intellectually active, bridging the gap between academic terms. Considering this, we have provided the top 5 project ideas below for Class 11 Mathematics. These easy yet interesting Maths project ideas will encourage independent research and problem-solving among students, making mathematics more relatable and enjoyable. The Maths project ideas are sure to help students learn the concepts with fun. Check and download the Maths project ideas for class 11 in PDF below:

1. Preparing Statistics  for Weather Prediction

Statistics allows us to analyze data and draw meaningful conclusions. Collect weather data for your city for the past five years. Analyze trends like average temperature or rainfall using statistical tools (for example, spreadsheets) and create a model to predict future weather patterns.

2. Weathering the Change

This includes a statistical analysis of rainfall, temperature, and crop yields in a rural indian community to assess the impact of weather changes on agricultural productivity. Visit a village near Delhi and collect data on various crops over the past few years from the farmers. Also, collect data about temperature variation and rain over the period for a particular crop. Try to find the effect of temperature and rain variations on various crops

3. Retrospective Rainfall Analysis

This involves predicting the precipitation rate in a particular region. Choose any week of your ongoing semester. Collect data for the past 10 – 15 years for the amount of rainfall received in Delhi during that week. Predict the amount of rainfall for the current year.

4. Balancing Inventory  with Math

This includes the mathematical approach you will be using to analyze sales data to optimize stock levels for profit. Visit a Kirana shop near your home and collect data regarding the sales of certain commodities over a month. Try to figure out the stock of a particular commodity which should be in the store in order to maximize the profit

5. The Math of Games

Probability is the likelihood of an event occurring. Game theory analyzes strategies in games with multiple players. Analyze the probability of winning a hand in Blackjack based on the dealt cards. Develop a strategy guide based on your probability analysis. Create a flow chart or a decision tree outlining optimal moves based on different scenarios in the game. Explore different strategies such as hit or stand, and see how they affect the odds of winning using probability calculations.

These project ideas are mostly influenced by the projects and assignments suggested by CBSE. So, teachers can include these ideas in the holiday homework to broaden the scope of mathematical exploration for their students.

Also Check:

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The Office of the U.S. Trade Representative (USTR) today released the four-year review of actions taken in the Section 301 investigation of China’s acts, policies, and practices related to technology transfer, intellectual property, and innovation. Read the USTR report (193 pages)

A related USTR release explains that the USTR recommended that products from China currently subject to Section 301 tariffs should remain. Additionally, in light of the increased burden on U.S. commerce, President Biden is directing the USTR to add or increase tariffs for certain products.

The report also makes recommendations for:

• Establishing an exclusion process targeting machinery used in domestic manufacturing, including proposals for 19 exclusions for certain solar manufacturing equipment;
• Allocating additional funds to U.S. Customs and Border Protection (CBP) for greater enforcement of Section 301 actions
•  Greater collaboration and cooperation between private companies and government authorities to combat state-sponsored technology theft
• Continuing to assess approaches to support diversification of supply chains to enhance our own supply chain resilience

President Biden is also directing the USTR to establish an exclusion process for machinery used in domestic manufacturing and to prioritize exclusions for certain solar manufacturing equipment.

The White House issued a fact sheet identifying the following tariff rate increases:

• From 0–7.5% to 25% in 2024 on certain steel and aluminum products under Section 301
• From 25% to 50% by 2025 on semiconductors
• From 25% to 100% in 2024 on electric vehicles under Section 301
• From 7.5%% to 25% in 2024 on lithium-ion EV batteries, from 7.5% to 25% in 2026 on lithium-ion non-EV batteries, and from 7.5% to 25% in 2024 on battery parts
• From zero to 25% in 2026 on natural graphite and permanent magnets, from zero to 25% in 2024 for certain other critical minerals
• From 25% to 50% in 2024 on solar cells (whether or not assembled into modules)—read a related White House fact sheet (May 16, 2024) on solar manufacturing
• From 0% to 25% in 2024 on ship-to-shore cranes
• From 0% to 50% in 2024 on syringes and needles; from 0–7.5% to 25% in 2024 for certain personal protective equipment (PPE), including certain respirators and face masks; and from 7.5% to 25% in 2026 on rubber medical and surgical gloves
• The USTR in May 2022 commenced the statutory four-year review process by notifying representatives of domestic industries that benefit from the tariff actions of the possible termination of those actions and of the opportunity for the representatives to request continuation.  
• The USTR in September 2022 announced that because requests for continuation were received, the tariff actions had not terminated and USTR would conduct a review of the tariff actions. 
• The USTR opened a docket on November 15, 2022, for interested persons to submit comments with respect to a number of considerations concerning the review. The USTR received nearly 1,500 comments.

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Sports Betting

2024 Preakness Stakes date and time: When is the race, how to watch, odds, horses and weather

The 2024 Preakness Stakes (Saturday, May 18 on NBC/Peacock) will be the 149th running of the annual horse race in Baltimore. It’s the yearly second leg of horse racing’s Triple Crown pursuit. Mystik Dan will be running in this year’s Preakness after some doubt that he would run in the race due to the short turn around between the Kentucky Derby and the Preakness.

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Here’s everything you need to know about the 2024 Preakness Stakes.

What is the Preakness Stakes?

The Preakness Stakes is the second race in the Triple Crown series and is running for the 149th time this year. A blanket of yellow flowers is draped on the winner each year and the weather vane at Pimlico is painted with the silk’s colors immediately after a winner is declared. The field is much smaller than the 20 horses that start the Kentucky Derby each year. This year, only eight horses will run in the Preakness. Only horses that are three years old are eligible to race in the Preakness Stakes, and it is open to both male and female horses. Swiss Skydiver, a filly, won the Preakness Stakes in 2020 and Rachel Alexandra won in 2009.

Everything you need to know about the horses running the Preakness on Saturday

When is the 2024 Preakness Stakes?

The 2024 Preakness Stakes will be held on Saturday, May 18, 2024, at Pimlico Race Course in Baltimore.

What horses are in the 2024 Preakness Stakes and their odds?

• Mugatu – 20-1
• Uncle Heavy – 7-1
• Catching Freedom – 7-2
• Muth – Scratched
• Mystik Dan – 5-2
• Seize the Grey – 8-1
• Just Steel – 9-1
• Tuscan Gold – 7-2
• Imagination – 9-2

What time does the 2024 Preakness Stakes start?

The post-time for the Preakness Stakes is set for 7:01 p.m. ET.

How long is the Preakness Stakes?

The race is 1 3/16 miles long. Secretariat owns the Preakness Stakes record at 1:53, although he wasn’t credited with the record until a 2012 meeting of the Maryland Racing Commission. Smarty Jones owns the record for margin of victory with a 11 1/2 length victory in 2004. Trainer Bob Baffert has won the Preakness Stakes eight times, most recently in 2023.

Who won the 2023 Preakness Stakes?

In 2023, National Treasure won the Preakness Stakes by a head over Blazing Sevens. National Treasure was 4-1 on the morning line odds. Mage, the 2023 Kentucky Derby winner, finished third.

What is the weather forecast for the 2024 Preakness Stakes?

The forecast for Saturday calls for a high of 66 degrees and a low of 58 degrees. The bigger news is there’s an 80 percent chance of rain on Saturday throughout the day with an accumulation of around half an inch.

How can I watch and stream the 2024 Preakness Stakes?

Television coverage for the 2024 Preakness Stakes starts at 4:30 p.m. ET on NBC. Preliminary coverage starts at 1:30 p.m. on CNBC. All coverage can also be streamed on Peacock.

Five long-standing traditions of the Kentucky Derby

Who is the favorite for the 2024 Preakness Stakes?

Mystik Dan is the 5-2 favorite for the 2024 Preakness Stakes. Muth, who is trained by Bob Baffert, was the morning line favorite when the post positions were drawn on Monday evening, but Muth scratched due to a high-fever.

Catching Freedom (6-1) and Imagination (6-1) have the second best odds.

What does morning line mean?

It is the first set of odds, released after the post positions were announced. Horse racing is parimutuel betting, meaning you can buy a ticket on the horse you want to win (or place or show, etc) but the odds are going to fluctuate up until the start of the race and eventually land on final odds as the horses go off, based on what everyone else is betting. In regular sports betting, you can buy a ticket at 5-to-1 odds and even if it’s down to 2-to-1 by the start of the game, your bet will pay out at 5-to-1. In horse racing, those 5-to-1 odds moving to 2-to-1 means you get stuck with those 2-to-1 odds like everyone else, no matter when the ticket was purchased (but, on the bright side, the odds can always go in the other direction, too).

What is the Black-Eyed Susan Stakes?

The Black-Eyed Susan Stakes is held on the Friday before the Preakness at Pimlico. It puts the best 3-year-old fillies against each other. The event is a Grade II race and offers $300,000 purse. It will stream starting at 4:30 p.m. ET Friday on Peacock.

How does betting on the Preakness Stakes work?

There are many different ways to bet on the Preakness Stakes, and it can be confusing to understand what an exacta, trifecta and superfecta are. It’s also confusing on how actually to place a bet on them.

The easiest way is to bet on the winner of the race. We explained all of the different types of horse racing bets here.

(Photo: Kentucky Derby winner Mystik Dan leaves the track after a workout at Pimlico Race Course: Julio Cortez / AP Photo)

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Andrew DeWitt is The Athletic's senior editor for sports betting. Andrew previously worked for the Tampa Bay Lightning, CBSSports.com and the St. Joseph News-Press. He graduated from the University of Missouri and is from Kansas City.

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• Published: 14 May 2024

2023 summer warmth unparalleled over the past 2,000 years

• Jan Esper   ORCID: orcid.org/0000-0003-3919-014X 1 , 2 ,
• Max Torbenson   ORCID: orcid.org/0000-0003-2720-2238 1 &
• Ulf Büntgen 2 , 3 , 4  

Nature ( 2024 ) Cite this article

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Including an exceptionally warm Northern Hemisphere (NH) summer 1 ,2 , 2023 has been reported as the hottest year on record 3-5 . Contextualizing recent anthropogenic warming against past natural variability is nontrivial, however, because the sparse 19 th century meteorological records tend to be too warm 6 . Here, we combine observed and reconstructed June-August (JJA) surface air temperatures to show that 2023 was the warmest NH extra-tropical summer over the past 2000 years exceeding the 95% confidence range of natural climate variability by more than half a degree Celsius. Comparison of the 2023 JJA warming against the coldest reconstructed summer in 536 CE reveals a maximum range of pre-Anthropocene-to-2023 temperatures of 3.93°C. Although 2023 is consistent with a greenhouse gases-induced warming trend 7 that is amplified by an unfolding El Niño event 8 , this extreme emphasizes the urgency to implement international agreements for carbon emission reduction.

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Department of Geography, Johannes Gutenberg University, Mainz, Germany

Jan Esper & Max Torbenson

Global Change Research Institute of the Czech Academy of Sciences, Brno, Czech Republic

Jan Esper & Ulf Büntgen

Department of Geography, University of Cambridge, Cambridge, United Kingdom

Ulf Büntgen

Department of Geography, Masaryk University, Brno, Czech Republic

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Esper, J., Torbenson, M. & Büntgen, U. 2023 summer warmth unparalleled over the past 2,000 years. Nature (2024). https://doi.org/10.1038/s41586-024-07512-y

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Received : 16 January 2024

Accepted : 02 May 2024

Published : 14 May 2024

DOI : https://doi.org/10.1038/s41586-024-07512-y

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