year 6 reasoning homework

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Year 6 rapid reasoning (weeks 1-6).

Six weeks of daily reasoning and problem-solving questions (approximately three per day)

• Mapped to a progression document for Year 6
• Use in conjunction with daily arithmetic practice from Fluent in Five
• An excellent and simple resource for daily classroom use

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Maths Learning Resources

Free for parents and fun for children! Discover a library of primary school maths worksheets, games, tips for parents, and more! Perfect for learning remotely, preparing for the 11 Plus exam, and making progress in maths.

• Key Stage 2

12 FREE KS2 SATs Papers: Everything you Need for Year 6 Maths Revision in 2022

Free SATs papers are a wonderful way of helping Year 6 pupils prepare for their KS2 SATs. When it comes to revision, we know it’s difficult figuring out where to begin. Past papers are one of the most valuable resources for revision. Your child can apply their knowledge to SATs style questions. They can also familiarise themselves with both the Reasoning papers and the Arithmetic paper. This can help them have a better understanding of what to expect. It also helps them to practise under timed conditions.

That’s why Think Academy UK has created this free KS2 SATs revision pack . We’ve included 12 free SATs papers from the last four years to help prepare for the 2022 KS2 SATs.

Page Contents

When are the Year 6 SATs 2022?

The Year 6 KS2 SATs are scheduled for May 2022, starting from Monday May 10 th until Thursday May 13 th . While they are still 8 months away, it’s never too early to get prepared!

Primary school teachers are doing their best to help their students catch up after months of lost learning. As parents, it’s important that you don’t put too much pressure on your children. That’s why these free SATs papers are a great place to start.

How can you use free SATs papers to revise for Year 6 SATs?

Using past KS2 SATs papers are a good way to quickly determine which areas of maths your child already understands, and which areas require further revision. You can use the mark scheme included to help.

Once your child has completed a paper, review the mark scheme together to identify which questions require further practice. You can help by preparing similar questions for them to practice. If they are still struggling to get to grips with a particular topic, take the practice papers to school and speak to their Year 6 teacher. This will help the teacher quickly identify how best to help.

Free SATs papers to download and use at home:

Below are the links you need to all the KS2 maths SATs papers from the last four years.

Year 6 KS2 SATs:  free SATs papers 2019

1. free sats paper – ks2 maths – paper 1 (arithmetic), 2. free sats paper – ks2 maths – paper 2 (reasoning), 3. free sats paper – ks2 maths – paper 3 (reasoning), year 6 ks2 sats:  free sats papers 2018, 4. free sats paper – ks2 maths – paper 1 (arithmetic), 5. free sats paper – ks2 maths – paper 2 (reasoning), 6. free sats paper – ks2 maths – paper 3 (reasoning), year 6 ks2 sats:  free sats papers 2017, 7. free sats paper – ks2 maths – paper 1 (arithmetic), 8. free sats paper – ks2 maths – paper 2 (reasoning), 9. free sats paper – ks2 maths – paper 3 (reasoning), year 6 ks2 sats:  free sats papers 2016, 10. free sats paper – ks2 maths – paper 1 (arithmetic), 11. free sats paper – ks2 maths – paper 2 (reasoning), 12. free sats paper – ks2 maths – paper 3 (reasoning), how to use the mark scheme – year 6 ks2 maths free sats paper:.

This gives you a great insight into understanding how each question is marked and how examiners expect your child to display their workings out. Remember that the examiner wants to award you child as many marks as possible! Therefore, using the mark scheme during revision is a gold mine in teaching your child how to present their answers.

Links to the KS2 maths SATs paper mark schemes:

– 2019 ks2 maths sats paper mark scheme, – 2018 ks2 maths sats paper mark scheme, – 2017 ks2 maths sats paper mark scheme, – 2016 ks2 maths sats paper mark scheme, free sats papers: year 6 maths revision – what else can you do.

While using free SATs papers are a great place to start, you will no doubt soon be looking for additional resources. Some parents choose to purchase KS2 SATs practice books. However, these can be expensive. Unfortunately, they cannot address your child’s specific learning needs as they do not offer further explanation.

So how can you help your child revise if they are already finding Year 6 maths challenging?

Use a Year 6 online tutor for KS2 maths!

Rather than pay out all that money for boring old textbooks, why not invest in an online tutor? Think Academy UK offers affordable online maths tuition for Year 5 and Year 6 pupils preparing for their KS2 SATs.

Each class takes place in a fun and interactive virtual classroom where maths is brought to life! Our dedicated tutors, some of them real-life primary school teachers, introduce new approaches to maths not taught at school. Helping kids to learn in new ways ensures that all our lessons are tailored to the student’s needs.

Moreover, with specialised homework, your child can recap what they have learnt with their tutor and review any areas they still find confusing. This makes for a far more productive and engaging learning experience.

Free maths resources KS2:

There are tons of free resources online to help your child start revising for the KS2 Year 6 SATs.

BBC Bitesize

BBC Bitesize  has launched a series of catch up lessons for Year 6 primary school students, in the aim of helping them to get back on track. This is an excellent supplement to Year 6 SATs revision, covering topics such as:

• Addition and Subtraction
• Multiplication and Division
• Number and Place value

As a free resource, this could prove amazingly effective alongside using the free SATs papers in revising for the KS2 SATs.

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Reasoning/Problem Solving Maths Worksheets for Year 6 (age 10-11)

Problem solving.

A variety of problem solving activities including time and money.

A perimeter/area investigation.

A good knowledge of the order of operations is needed for this problem solving task.

Find the cost of different numbers of houseplants.

Tricky addition which may need jottings to complete.

Here are sets of word problems only needing one step to solve, but it is not always obvious what calculation to carry out to reach the answer.

Here are some longer problems written in words. You need to work out more than one thing to get the answers.

Quite tricky word problems involving money, often requiring several steps to complete.

A good knowledge of metric measures is needed to complete these questions.

Questions which need an understanding of a.m., p.m., 24 hour clock, leap years as well as using graphs.

An atlas with time zones is needed for the first activity and there are line graphs on time to interpret.

When answering these problems say which operation is needed and whether it can be done mentally, on paper or with a calculator.

More on choosing the most appropriate method of calculating.

Tricky calculations working out the best and worst meal deals.

Purchasing various items from a vending machine. Tricky calculating with money.

Investigate Numbers and Patterns

Investigate numbers and patterns, including sequences.

Quick and easy way to multiply 2-digit numbers by 11 - why does it work?

Show all your calculating skills with just four fours.

A first look at triangle numbers.

More on triangle numbers.

Further investigations involving triangle numbers.

Some great patterns can be found when dividing by 9 or 11, and using square numbers.

Plenty of ideas to help with investigations and inventing similar problems.

More investigations on adding consecutive numbers, dividing by a half, writing a simple formula as well as shape patterns.

Investigate numbers and shapes; quite tricky.

Complete a variety of number sequences and say what the rule for each sequence is. Some negative number work as well.

Using a multiplication square to look for number patterns: there are certainly plenty of them! Further sequence work, including Fibonacci.

Try the Ancient Egyptian method of multiplying. Great, if you are good at adding up!

Tips and hints on how to use a calculator to ensure correct answers.

Holiday Problem Solving

A tricky selection of resources all linked to a holiday theme.

Very tricky to find the best options.

Very tricky calculations to find the best deal.

Finding the best deal is harder than it might seem!

A holiday which might cost more than it should unless there is some careful calculating.

This is complicated with special offers and percentages off making finding the cheapest deal difficult to work out.

More difficult than you might think to find the cheapest deal, including percentages.

Much trickier than it first looks, with many possible options to choose from. Some time is needed to complete this correctly.

A collection of puzzles to solve - some easy and some quite tricky. Ideal for the end of term.

Place the numbers 1 to 9 in the boxes so that each side of the triangle adds up to 20.

Replace the hexagons in the calculation with numbers: logical thinking needed.

Find the mathematical words in these anagrams.

Turn your calculator upside down to read the words!

A calculator is needed for this fun challenge.

This might not seem possible but with a little imagination it can be done.

How many moves to get all the coins on heads?

Nifty little puzzle with more than one solution.

More to do with square numbers than shapes!

Finding pairs of numbers that add up to square numbers. Tricky!

How many ways of making 15. Have you got all of them?

Can you make prime numbers by adding two square numbers?

Lots of coins and not change for £1.

Neat little code-breaker. Can you come up with others?

Logical thinking needed here.

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Help your child succeed in their SATs

The sats paper guide - free advice and help for the sats.

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Maths Reasoning Worksheet and Explanation

We’ve structured this information to help children with their education. It is targeted at children in years 5 and 6 and the questions for the worksheet have been stripped from past papers. Having an understanding of maths reasoning is part of the primary school curriculum and children will deal with maths reasoning in both KS1 and KS2.

The Information below will give an overview of the topic and we have included a detailed worksheet with full answers. The worksheet includes 30 maths reasoning questions and is relevant for KS2 pupils approaching their SATS test.

Download Free Maths Reasoning Worksheet – Questions

Download free maths reasoning worksheet – answers.

If you are not ready to download the worksheets yet, then read on for some information about maths reasoning. This has provided to introduce the topics covered in the worksheet for those that might be unfamiliar but also as a quick revision tool for those that would like a quick refresher before accessing the worksheet.

Maths Reasoning Explained

The purpose of maths reasoning.

Reasoning allows us to make sense of the world around is and problems we might face on a day-to-day basis. Maths reasoning is part of this ability and helps us to use maths in meaningful ways and in applied settings. The question sheet uses examples that we might come across in everyday life where we need to use our maths skills to make an informed decision, such as the correct train to catch or how much money I will have remaining after I have been to the shops.

How do I Develop my Maths Reasoning?

Maths reasoning is dependent on the core skills learnt in the primary curriculum and is essentially utilising these in applied scenarios. In order to improve your maths reasoning skills, it is therefore important that you continue to develop your core skills. It is also important that students are able to explain their maths reasoning using the correct terminology wherever possible.

Where Maths Reasoning is Used?

As mentioned above reasoning is something we use every day, usually without thinking. These groups describe most of the situations where we will most likely be using our maths reasoning skills:

• The first encounter of a new challenge
• When a range of starting locations are possible
• When there is missing information
• When selecting a problem-solving skill
• When evaluating a solution in context
• When there is more than one solution
• When logical and critical thinking are required
• When there are multiple ways of solving a problem
• The basis for mathematical proof

Please feel free to download the maths reasoning worksheet and answers. No registration is necessary.

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Year 6 Maths Problems

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

Last updated

22 February 2018

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A bundle is a package of resources grouped together to teach a particular topic, or a series of lessons, in one place.

Year 6 Maths Scheme of Work (based on White Rose Maths)

A scheme of learning with planning and worksheets included for Year 6 Maths. Included are 90 lessons that cover: Place Value Rounding Negative Numbers Roman Numerals Indices Inverse operations Written addition and subtraction Mental addition and subtraction Written multiplication and division Order of operations Finding fractions of amounts Comparing fractions Converting between improper and mixed number fractions Add and subtract fractions Multiply fractions together Multiply fractions by whole numbers Divide fractions by whole numbers Percentages Fraction, decimal and percentages Ratio Algebra including missing information, expressing problems, satisfying equations, satisfying two variables and sequences Multiplying and dividing by 10, 100 and 1000 Multiplying decimal numbers Finding percentages of amounts x 2 Fraction, decimal and percentage equivalents Converting measurements Miles and kms Time Shape with same area but different perimeter and vice versa Volume Area Area of triangles Addition and subtraction (Same as 1st planning scheme as it is revision) Multiplication (Same as 1st planning scheme as it is revision) Division (Same as 1st planning scheme as it is revision) Worksheets are differentiated three ways with a mastery aim running throughout. Having used a similar format in my own lessons, these sheets often provide enough challenge for two days lessons, with children taking on the easier work then moving on to harder challenges within the other sheets. These have all been made with mastery in mind and so follow this pattern. Worksheet One - Works on practise and fluency (LA) Worksheet Two - Practise, fluency and reasoning (MA) Worksheet Three - Practise, fluency, reasoning and problem solving (HA) Worksheet Four - Same as worksheet three as a spare for anybody who finishes problem solving Answers are included for each sheet.

Maths resources

A range of Maths resources including fully planned and resourced lessons that can all be used in Years 5 and 6.

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Geometric Reasoning Worksheets - Year 6

Updated:  24 Jun 2020

2 worksheets linked to the Australian Curriculum.

Non-Editable:  PDF

Pages:  3 Pages

• Curriculum Curriculum:  AUS V8, VIC, AUS V9
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This teaching resource  could be used in a variety of ways when teaching geometric reasoning . Some suggestions include:

• pre- and post-testing
• independent classwork

This teaching resource pack includes worksheets addressing the following concepts:

• working with angles.

Answer sheets are also provided.

Download options include:

• the year level displayed at the top of the sheet
• no year level displayed at the top of the sheet to use for differentiation.

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