problem solving maths key stage 2

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Key Stage 2 , Maths Units:

Number sense and exploring calculation strategies, place value, addition and subtraction, length and perimeter, multiplication and division, deriving multiplication and division facts, angles and shape, securing multiplication and division, exploring calculation strategies and place value, fractions: parts and wholes, reasoning with 4-digit numbers, addition and subtraction (2), multiplication and division (2), interpreting and presenting data, securing multiplication facts, fractions (2), area and perimeter, solving measure and money problems, 2-d shape and symmetry, position and direction, reasoning with patterns and sequences, working with fractions, taking fractions further, reasoning with large whole numbers, problem solving with integer addition and subtraction, line graphs and timetables, multiplication and division (3), 2-d shape, perimeter and area, fractions and decimals, fractions, decimals and percentages, transformations, converting units of measure, calculating with whole numbers and decimals, 2-d and 3-d shape, problem solving with whole numbers and decimals, equivalent fractions, integers & decimals, multiplication and division (4), calculation problems, fractions (3), missing angles and lengths, coordinates and shape, fractions (4), decimals and measures.

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Key stage 2 tests: 2022 mathematics test materials

Mathematics test materials were administered to eligible pupils at the end of key stage 2 in May 2022.

2022 key stage 2 mathematics Paper 1: arithmetic

PDF , 625 KB , 20 pages

2022 key stage 2 mathematics - administering Paper 1: arithmetic

PDF , 187 KB , 4 pages

2022 key stage 2 mathematics Paper 2: reasoning

PDF , 936 KB , 24 pages

2022 key stage 2 mathematics - administering Paper 2: reasoning

PDF , 189 KB , 4 pages

2022 key stage 2 mathematics Paper 3: reasoning

PDF , 2.37 MB , 24 pages

2022 key stage 2 mathematics - administering Paper 3: reasoning

2022 key stage 2 mathematics mark schemes

PDF , 477 KB , 36 pages

2022 copyright ownership: key stage 2 national curriculum tests

PDF , 144 KB , 2 pages

Key stage 2 mathematics tests were administered in schools in May 2022. Test administration instructions and mark schemes are also provided.

Please refer to the copyright ownership report for details of how schools, educational establishments and third parties can use these materials.

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Problem Solving KS2 Maths. Have fun solving these Maths problems. Great activities to use Maths problem solving skills in real life scenarios. Links to a selection of printable and interactive Maths resources, great for ks2, ages 8-11 years.

Cycling Timing Challenge Video

Two cycling-mad schoolchildren are taken on a tour of the National Cycling Centre in Manchester. They meet world individual pursuit champion Sarah Storey, and are set a maths challenge related to cycling.

Leapfrog Interactive

Traditional frog jumping puzzle. Can you swap the green and blue fogs over? How few moves does it take? What if the number of frogs were to change?

Pebbles Text

Imagine that you're walking along the beach, a rather nice sandy beach with just a few small pebbles in little groups here and there. You start off by collecting just four pebbles and you place them on the sand in the form of a square. The area inside is of course just 1 square something, maybe 1 square metre, 1 square foot, 1 square finger ... whatever.

Problem Solving Task Cards Printable

This resource contains an example of a four-step approach for a problem solving strategy and task cards split into levels. Aimed at Year six pupils. Registration required.

Properties Of Numbers Quiz

By the time they reach Year 5, the third year in KS2, children should be familiar with certain properties of numbers which they have come across in their Maths lessons. They should, for example, know the difference between multiples and factors and should also know what square numbers are. Play this quiz for 9-10 year olds and see what you have remembered.

Word Problems Interactive

Maths word problem generator. Select difficulty and number of questions, check your answers and see how you are doing with the % indicator.

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Crickweb - 265 free educational interactive teaching resources and activities for Primary/Elementary Schools.

Our sister site, crickweb.co.uk, provides 265 free educational interactive teaching resources and activities for Primary/Elementary Schools, teachers, parents & children. Suitable for use on an IWB, PC or Mac at school and at home.

Problem solving key stage 2

In addition, Problem solving key stage 2 can also help you to check your homework.

KS2 Problem Solving in Maths

Problem solving games for key stage 2 children, problem solving book 2 key stage 2: martin paul.

Through solving a wide range of maths problems, key stage 2 children will work on developing their fluency, reasoning, and problem-solving in school. These

Solve math problems

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Determine math equations

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Written by experienced teachers, Schofield & Sims resources provide children with a solid grounding in reading, writing and arithmetic, as well as equipping

Problem Solving Book 4 Key Stage 2 (KS2

Free problem solving maths games for KS2 children. resources provide fun, free problem solving teaching ideas and activities for primary aged children.

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The 21 Best Maths Challenges At KS2 To Really Stretch Your More Able Primary School Pupils

Emily Weston

It won’t be long in your teaching career before you’re seeking out maths challenges at KS2 to stretch your more able pupils. Particularly once you get to Year 6, the maths challenges that may have previously kept them busy will no longer be stretching them. At least this is what I found out recently.

Every child deserves maths challenges that stretch them

You are not alone looking for ks2 maths challenges for high attainers, 1. i see reasoning uks2 – gareth metcalfe, 3. third space learning, 4. peter dickinson – reasoning club, 5. royal institute of science – maths masterclass, 7. nace (national association for able children in education) , 8. maths bot , 9. craig barton – same surface different deep, 10. dr frost maths , 21. mastering mixed ability maths, 12. parallel maths, 13. ted airplane riddle, 14. times tables app, 15. fibonacci rabbit sequence , 16. open middle, 17. daily rigour articles, 18. total maths , 19. maths in sport, 20. wild maths, 11. white rose, maths challenge books, where this list of mathematical challenges for able pupils came from.

Usually, applying knowledge and using transferable skills is enough to keep a class ticking over; extending their understanding beyond number. But in some cohorts there will be a child who completes the ‘challenges’ we set with relative ease; they aren’t taken out of their comfort zone or rarely make mistakes.

Some children will readily grasp the concepts being shown to them and will be ready to apply their strategies and understanding to further reasoning and problem solving questions.

This year I had a child like this in my class, and I found stretching his abilities a struggle as I didn’t have access to enough resources to give me, or him, variety.

I’d be helping one child grasp long multiplication – or something similar – when a shadow would loom over my shoulder. Turning around, he’d be there, telling me he had finished. Often, he had finished a year 6 maths challenge which I was sure would last for the whole lesson. Looking at the clock, 40 minutes of the lesson remained.

His abilities stretched beyond any child I had previously had in my class. So, I reached out to Twitter to discover some new ways to include maths challenges for more able pupils in my lessons.I was especially looking for work which he could pick up and use independently, if he had managed to complete the tasks already set.

After the responses on Twitter, it was clear to see I wasn’t not the only person left scratching my head in this kind of situation, wondering what resources I can turn to.

So, to help you find even more challenges for your greater depth pupils quickly and easily, we’ve put together this list of activities, categorised for ease of use.

You can find the original tweet here . It’s worth a read; the thread is packed with lots more ideas than I was able to include on this blog!

Top 6 Maths Challenges For Primary School Pupils

Prep: Find the activity you want, photocopy (and maybe some guillotine-ing!)

Who it’s for: Although this is the Upper Key Stage 2 version, it is available for Lower Key Stage 2 too!

Cost: You will need to purchase the ‘I See Reasoning’ resources.

This resource is full of a huge range of activities which push children to think beyond numbers and begin to use mathematical language to explain.

Each activity requires children to display their understanding of what they have already learnt, and build upon their knowledge in order to describe what they notice or know.

This document covers the whole of the maths curriculum, including not only problems relating to number, but also geometry, shape and statistics.

I also love that this really clearly includes the answers, which makes it so simple to use!

Each activity has its merits, but the three I find particularly useful are:

Explain the Mistakes

Children are shown mistakes and are required to explain why the diagrams/calculations are wrong.

They must use mathematical language and previous knowledge to first understand, then explain their thinking to show what would need to change in order for there to be a correct solution.

‘I know…so…’

This activity models to children how to link ideas and get them reasoning, building on what they know already.

Once they have seen this model in ‘I See Reasoning’ they will then begin to use this phrase within the classroom, not only when speaking to the teacher but also to their peers.

Different Ways

This activity requires children to understand that their can be different variations. They can then explain how they know that these answers all work, and why.

Child Review: This was challenging as when you understand number so easily, it can be trickier to explain exactly how you know a fact is true. There was some element of challenge because of the range of different activities.

Link: I See Reasoning

Prep: Just print and go! (Unless they’ve already done the challenge in a previous year group…!)

Who it’s for: There are activities for all primary age ranges.

Cost: FREE!

I have to admit, this is my absolute go-to for mathematical challenges (as I’m sure it is for many of you out there!).

The huge range of challenges that are available can be easily searched so you can find the activity which is perfectly suited to the topic you’re doing,

They are also labelled with which age range the problem is most suited for (and can be adapted if you want to).

However, because Nrich is so popular I often find that the children have already accessed problems the previous year, meaning that inevitably they no longer pose any challenge to them, or it takes extra time to plan as you need to consult previous teachers.

My favourite challenge so far this year from Nrich is:

This activity really challenged my whole class. They worked in groups to discover the answer and there were cries of ‘noooo’ when we started running out of time for them to solve it (which inevitably led to another lesson being abandoned to let them have more time to work it out!)

This was an activity I thought would be completed quickly, but really challenged the all the children.

Child Review: This activity was really challenging as it used lots of logic. You had to use what you knew about number, use trial and error and really understand how the strategy works! I like these types of problems as they make me think.

Link: Nrich

Prep: Access to a computer and a headset.

Who it’s for: Years 2 to 7

Cost: Bespoke to each school, on average £15 per pupil per week.

Some of you might already be using Third Space Learning’s one-to-one online maths interventions with your lower attaining pupils or as part of your Pupil Premium budget. But these interventions can also be an excellent way of further stretching most able pupils.

Third Space’s highly targeted initial diagnostic assessment identifies maths strengths as well as weaknesses. With higher attaining pupils, Third Space tutors can create lesson plans aimed at engaging and developing these strengths, introducing them to concepts and topics that will challenge and motivate them.

Third Space also provides an online Maths Hub full of premium and free maths resources , such as the one below, that you can use in lessons to continue challenging your more able pupils.

Child Review: “ I enjoy coming here every Friday to do Third Space Learning! It makes me happy every time I come to school!” – Katie, Third Space pupil

Link: Find out about the maths interventions (or call 0203 771 0095)

108 Greater Depth Questions for KS2 Maths Mastery

Download our set of 108 Greater Depth Maths Mastery questions for some free additional stretch and challenge for your more able pupils.

Prep: Print and go!

Who it’s for: Year 5 and 6.

Cost: There is a cost for these resources. You will need to contact Peter directly to enquire.

Peter Dickinson has created a range of reasoning resources which really require children to think and apply their knowledge.

Each challenge explicitly targets a different aspect of maths, as well as requiring the children to transfer a range of different skills to help them solve the problem.

For example, in the ‘Multiplication Square’ children have to not only use multiplying knowledge, but also that of decimals and place value.

I’ve found that these reasoning word problems cover a lot of the curriculum, particularly number, which allow a really wide range of maths challenge for the class.

The best part of these, is that it’s really useful to laminate them within the classroom in order to use over and over again; because of the level of challenge, sometimes they don’t get finished and it enables the child to continue another time before passing them on to someone else.

Child Review: I really like that these are usually laid out in familiar ways and full of lots of different types of challenges. Some of them really make me think and use lots of logic – I enjoy that they actually challenge me!

Link: Peter can be found on Twitter at @2358Peter

Prep: There are quite a few downloads to prepare for the session, but they also have PowerPoints to help with you explanation.

Who it’s for: Year 5 and 6, although they may also link to some topic work in a lesser capacity lower down.

I was really disappointed I hadn’t come across these resources before (thanks for the suggestion @Glazgow/@racheldorris1)!

They cover a range of topics including (but not limited to!) fractions, shape, number patterns and reflections.

Each of these are also linked to a science element (and in some cases, some history or art too!) providing a range of curricular links you can also build into your lessons.

Each ‘off the shelf’ lesson is fully planned and resourced for you, which means it is easy to prep for the children (although I do recommend reading through it all first – some lessons have quite a few downloads you need to use whereas some need equipment!).

The topics are all very interesting and are some you may not come across or think of having not discovered them on the Royal Institute of Science site. One example of this is creating colours through using fractions and proportion.

These sorts of cross-curricular activities are also excellent evidence to show off during Ofsted inspections!

Child Review: These challenges are really interesting because they involve different parts of the curriculum too! We have only done one of these, but I really look forward to doing more!

Link: Royal Institution Maths Masterclasses

Prep: Some printing may be required!

Who it’s for: KS2 – there are a range of different challenges.

This resource was kindly suggested by @ianr73 and I am very glad it was! Transum has a range of features which are really useful to use in class.

Firstly, they have a range of daily challenges which are puzzles for the children to complete and challenge a different area of their maths knowledge each day.

In this example, it focuses on time and has a range of different examples for them to work on. I have this on my board at some point each day to expose the class to new ideas and maths puzzles!

Also, as you might expect, they have a range of maths challenges on their site too. There are a wide range of problems to choose from – I found them to be quite like Nrich in their style which meant they were easy to begin using in the classroom.

There were also the options of outdoor maths, riddles and a range of online maths games to use too!

Child Review: I really enjoy the daily maths puzzle that we can have as it shows lots of different types of maths I might not otherwise get to see. The challenges are fun, and can be done in different ways too.

Link: Transum

Favourite Maths Challenges Recommended By Primary School Teachers

Gone through all of the challenges above and still need more? These are some of the other maths challenges that were recommended on the Twitter thread:

What it is: An association which specifically focuses on how to challenge more able children in a range of different ways.

What it is: These are a range of maths challenges in different formats (including exam style questions) which can be used in different year groups (as well as going through Secondary).

What it is: These problems are based around the concept that children should be revisiting different areas of maths constantly. If they do problems based around just the topic being studied they aren’t effectively applying their knowledge.

A range of problem solving activities which children can use to extend their reasoning understanding.

What it is: A free Third Space Learning resource with 8 mastery-based maths activities, all designed to be ‘low threshold/high ceiling’ – relatively easy to pick up, but with lots of room to stretch more able pupils.

Link: Mastering Mixed Ability Maths Resource

What it is: These are challenges which are used to stretch children. They are aimed for Year 7 up, but might be used to stretch children in Year 6 as an extra ‘weekly challenge’ if the topic matches!

What is is: A riddle which children will need to apply their knowledge and maths logic to solve the problem.

What it is: A challenging app to speed up times table recall knowledge, which can be done on a phone or tablet.

What it is: This is using mathematical discovery (trial and error) rather than allocation of knowledge. It is a really good challenge for children (especially Year 5/6 )

What it is: A site that promotes problem solving over worksheets, allowing children to work in a more practical manner.

What it is: This is a free newspaper that puts maths problems into a real life context. It is full of interesting ideas to get children using challenge!

What it is: Tara Loughran (@MathsMummy) is a maths consultant who has created a range of problem sheets which stretch children across a range of topics in the maths curriculum.

What it is: A range of maths problems which are also linked to sport. Curated by University of Cambridge, it covers KS1 and KS2!

What it is: This is a similar site to Nrich which has a range of activities, stories and maths puzzles to challenge your children.

What it is: A scheme of work which moves from fluency to reasoning in all areas of the maths curriculum.

A few books were suggested for Maths Challenges too!

These KS2 maths challenges have really allowed me to go deeper with certain children within maths lessons (and even during particular topics!) within the classroom.

Having a wider range of maths challenge resources makes it much easier to ensure that you are deepening maths mastery in a way that is meaningful and encourages children to use logic.

To find more challenges you can use with the greater depth children in your class, check out these other TSL blogs:

FREE KS2 maths SATs practice papers

Get ready for SATs with this set of 6 maths SATs practice papers designed to help your Year 6 pupils improve test skills and build confidence.

Includes: - 2 arithmetic and 4 reasoning papers that follow the National Curriculum Assessments. - Mark schemes to diagnose and assess where your pupils need extra support.

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Problems of the day

March Problems of the Day 2020 – KS2/KS3 Full Set

Here's the full set of KS2/KS3 problems from this year, along with answers.

March Problems of the Day 2020 – KS1 Full Set

Here's the full set of KS1 problems from this year, along with answers.

March Problems of the Day 2019 – GCSE Full Set

A set of GCSE problems covering content for foundation, foundation/higher crossover and higher. We hope they are useful in the run up to the exams. Good luck! #MathsEveryoneCan

March Problems of the Day 2019 – KS2 Full Set

Here is the full set of questions for KS2 Problems of the Day from March 2019.

March Problems of the Day 2019 – KS1 Full Set

Here is the full set of KS1 Problems of the Day that were released throughout March 2019.

March Problems of the Day 2018 – KS2 Full Set

For the month of March, each day we publish some reasoning and problem solving questions for use with your classes in the run-up to SATs. Practice is crucial to maths success, and our questions are designed to support your daily routines. These problems can be used across Y5 and Y6 throughout the year.

March Problems of the Day 2018 – KS1 Full Set

For the month of March, each day we publish some reasoning and problem solving questions for use with your classes in the run up to SATs. Practice is crucial to maths success, and our questions are designed to support your daily routines. These problems can be used across Y1 and Y2 throughout the year.

Maths Problem Solving Relay Activity (Key Stage 2 or 3)

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

Last updated

3 September 2021

I put together this problem solving relay activity for our Year 6 into Year 7 transition day lesson.

Most of the good quality Maths relays available were too difficult for this age group to access so here is a slightly more basic Maths relay.

Student answer sheet and answers are included!

Hope this is useful!

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A great resource, looks perfect for our yr7s

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A great resource, thank you. I’ve not used it yet but sure it will be successful.

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11-14 Years

Play these fun Maths Games for 7-11 year olds

Choose a category:, problem solving games.

Bead Numbers - Place Value

Bead Numbers is a place value investigation involving a tens and ones abacus. The game provides a good context for encouraging learners to think systematically.

Countdown Game

Test your mental maths agility and skills on this Countdown game. There are different levels of difficulty. It works well on an interactive whiteboard too so it can be used in a class situation.

Thinking of a Number

Guess the number by revealing the clues on the clouds one by one. Children will need knowledge of rounding, odd and even and tens and ones.

Tables Teaser

Can you work out which number goes in each row and column heading to make the interactive tables grid work? It is quite a challenge!

Mystic Numbers

Solve the number puzzles and collect the treasures.

Problem Solving

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COMMENTS

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Free online Maths lessons for Key Stage 2 students. Skip navigation. Language Picker. Teacher Hub Specialist Subjects. Key Stage 2, Maths Units: Number. Number sense and exploring calculation strategies ... Problem solving with integer addition and subtraction. 10 Lessons. Statistics. Line graphs and timetables. 10 Lessons. Number ...
Maths Problem Solving At KS2: Strategies and Resources For Primary
Maths problem solving KS2 is crucial to succeeding in national assessments. If your Key Stage 2 pupils are still struggling with reasoning and problem solving in Maths, here are some problem solving strategies to try with your classes; all aligned to Ofsted's suggested primary school teaching strategies.
Problem Solving, Maths, Key Stage 2
Maths - Key Stage 2 (7-11 year olds) Select a Category: Ordering and Sequencing Place Value Addition and Subtraction Multiplication and Division Fractions and Decimals Money Shape, Position and Movement Measures Data Handling Problem Solving Problem Solving Countdown Game Test your mental maths agility and skills on this Countdown game.
Key stage 2 tests: 2019 mathematics test materials
Key stage 2 mathematics tests were administered in schools in May 2019. Test administration instructions and mark schemes are also provided. Please refer to the copyright ownership report...
Key stage 2 tests: 2022 mathematics test materials
2022 key stage 2 mathematics - administering Paper 1: arithmetic PDF, 187 KB, 4 pages 2022 key stage 2 mathematics Paper 2: reasoning PDF, 936 KB, 24 pages 2022 key stage 2...
Maths
Problem Solving KS2 Maths. Have fun solving these Maths problems. Great activities to use Maths problem solving skills in real life scenarios. Links to a selection of printable and interactive Maths resources, great for ks2, ages 8-11 years. Cycling Timing Challenge Video
Problem solving key stage 2
Problem solving key stage 2 - This Problem solving key stage 2 supplies step-by-step instructions for solving all math troubles. Math Learning. ... A complete guide to maths problem solving at KS2 & the techniques that work. Free download with word problems & problem solving questions to
The 21 Best Maths Challenges (KS2) For Your More Able Pupils
Top 6 Maths Challenges For Primary School Pupils 1. I See Reasoning UKS2 - Gareth Metcalfe 2. Nrich 3. Third Space Learning 4. Peter Dickinson - Reasoning Club 5. Royal Institute of Science - Maths Masterclass 6. Transum Favourite Maths Challenges Recommended By Primary School Teachers 7. NACE (National Association for Able Children in Education)
KS2 Maths Word Problems
All are designed to help your Key Stage 2 pupils develop their problem-solving skills in a fun and engaging way! Choose from differentiated worksheets, challenge cards, fun activities and PowerPoints and tailor the learning experience to your teaching needs.
Maths problem of the Day
March Problems of the Day 2018 - KS2 Full Set For the month of March, each day we publish some reasoning and problem solving questions for use with your classes in the run-up to SATs. Practice is crucial to maths success, and our questions are designed to support your daily routines. These problems can be used across Y5 and Y6 throughout the year.
Maths Problem Solving Relay Activity (Key Stage 2 or 3)
File previews. pptx, 206.22 KB. pptx, 485.48 KB. I put together this problem solving relay activity for our Year 6 into Year 7 transition day lesson. Most of the good quality Maths relays available were too difficult for this age group to access so here is a slightly more basic Maths relay. Student answer sheet and answers are included!
Knowledge Organisers
A collection of KS2 knowledge organisers that set out the important, useful and powerful knowledge on a range of maths strands, including number and place value, calculation, fractions and much more. Use alongside these fantastic KS2 Maths Worksheets to reinforce learning and help children put what they've learnt into practice.
Problem Solving Games for Key Stage 2 children
Ordering and Sequencing Mental Maths Place Value Addition and Subtraction Times Tables Multiplication and Division Fractions and Decimals Money Shape, Position and Movement Measures Data Handling Problem Solving Problem Solving Games These resources provide fun, free problem solving teaching ideas and activities for primary aged children.
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Tasks for KS1 children which focus on working systematically. Working Systematically at KS2 Age 7 to 11 Tasks for KS2 children which focus on working systematically. Number Patterns Age 5 to 11 The tasks in this collection encourage children to create, recognise, extend and explain number patterns. Working Backwards at KS1 Age 5 to 7
Multi-Step Maths Word Problems Year 6 Worksheet
Challenge your key stage 2 children to choose the correct operations and solve these real-life puzzles with these problem-solving year 6 maths worksheets. Complete with eight tricky multistep word problems, this teacher-made worksheet is a quick and easy way of reinforcing your teaching and gauging the progress of your pupils.
Improving Mathematics in Key Stages 2 and 3
Primary. This guidance report focuses on the teaching of mathematics to pupils in Key Stages 2 and 3. It is not intended to provide a comprehensive guide to mathematics teaching. We have made recommendations where there are research findings that schools can use to make a significant difference to pupils' learning, and have focused on the ...