key stage 2 problem solving

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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.

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.

Explore mental and written strategies to solve problems

I can explore written and mental strategies to solve problems.

Lesson details

Key learning points.

• Looking at the numbers involved and using number-sense supports us to know which strategy is more efficient.
• A number line is a useful mental strategy when it is obvious what to add or subtract.
• When using a formal written method the concept of constant difference can be used to make the calculation easier.

Common misconception

Children may automatically use a formal written algorithm.

What do you notice about the numbers? What would you add/subtract to get to the nearest multiple of (a power of 10)? Can you represent this on a number line?

Difference - The difference is the result of subtracting one number from another. It is how much one number differs from another - represented by how far apart they are on a number line.

Efficient - Being efficient means finding a way to solve a problem quickly whilst also maintaining accuracy.

This content is © Oak National Academy Limited ( 2024 ), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

Starter quiz

6 questions.

999 + 1 = -  

999 + 2 = -  

998 + 5 = -  

998 + 7 = -  

997 + 2 = -  

30,000 + 20,000 = -  

40,000 + 20,000 = -  

35,000 + 35,000 = -  

45,000 + 30,000 = -  

40,000 + 60,000 = -  

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FREE daily maths challenges

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KS2 Maths Investigations Based On Real Life In Primary School

Sophie Bessemer

It’s been a long week and it is time to hand out your latest ‘exciting’ KS2 maths investigations, carefully crafted problem solving investigations focused specifically on the work you’ve been doing this week.

But then you hear the the immortal words from your Year 6: ” What Does This Have To Do With The Real World?”

Any good teacher knows, of course, exactly how relevant maths is in the real world and how, without maths, modern society as we know it would never have existed.

The problem is, not all 11 year olds know it too – and you’re going to have a hard time convincing some of them.

In defence of 11 year olds, the curriculum – maths in particular – can sometimes feel all too distant from what’s ‘real’.

So the question then becomes, how do we show young learners how Maths intersects and dominates our day to day life?

How do we give our KS2 pupils maths investigations that inspire them, change their perceptions and help them to move beyond a fixed mindset to see maths problem solving as entirely relevant to what may come next in life?

If you’re just interested in maths investigations for Year 5 and Year 6 we’ve created jump to the end of the blog where they’re all listed by term.

KS2 Maths Investigations: Problem solving in context

Benefits of maths investigations at ks2, 5 top tips for creating your own ks2 maths investigations, year 5 and year 6 maths investigations.

We believe that one of the answers is putting your maths problem solving activities into a context that your pupils can relate to.

We call this Topical Maths, and we’ve used this idea as the source for several of our most popular Year 5 and Year 6 maths problem solving resources, all offering the kind of KS2 maths investigations we know your pupils will love!

KS2 Topical Maths Problems

25 real world maths investigations to practise reasoning and problem solving based on primary school calendar events

There are lots of benefits of course, but the most important as far as we’re concerned are these:

• Pupils are required to talk and reason about their maths
• The maths problem solving investigations cement higher order reasoning skills and problem solving
• Starting early with Year 5 maths investigations you can support familiarity with the sorts of questions that come up in Year 6 SATs.

To encourage you to give these KS2 maths investigations a go, we’ll first look at the benefits and principles of introducing them for your reasoning and problem solving at Year 5 and Year 6, we’ll then give you some ideas for how you can create these problem solving activities for the rest of KS2 yourself.

We guarantee you’ll see your pupils’ reasoning and problems solving skills improve!

1. KS2 Maths Investigations Involve Pupils Talking and Reasoning

Getting pupils to verbalise their numerical reasoning has a knock-on effect on pupils’ overall reasoning skills, which is why the core element of our  KS2 maths intervention  is mathematical reasoning; asking pupils to explain not just what they’re doing, but why they’re doing it.

As a teacher of a large class, it can be difficult to provide the teacher time necessary for each pupil to verbalise to you their reasoning.

The inherently collaborative nature of year 5 and year 6 maths investigations gives pupils the opportunities to to reason out loud and work on their maths problem solving skills.

2. KS2 Maths Investigations Cement Higher Order Reasoning Skills

Our experience teaching thousands of primary school pupils maths every week has shown us that at KS2, even by Year 5 or Year 6, pupils often have good procedural understanding, but struggle with higher order problem solving questions.

The problem solving element to these topical maths investigations naturally improves reasoning skills in Year 5 and Year 6 pupils, as they are more likely on reaching an answer to have to think about not just how but why that answer is correct.

By setting topical maths investigations at KS2 as group-work or a whole class activity, you can ensure that all pupils get to experience this deep level of reasoning.

Many of our topical maths investigations are open ended, but if you’re teaching a fully mixed ability class, we’ve also created some  low threshold high ceiling open ended maths investigations  specifically for mixed ability classes.

3. KS2 Maths Investigations Give Early Exposure To SATs Style, Reasoning Questions

Most, if not all, schools will provide their pupils with exposure to reasoning via SATs-style questions, but this often comes hand in hand with exams and assessment.

Yet, it is equally important to get pupils reasoning and problem solving in a low stakes classroom setting or as a group.

Creating a learning environment where the types of problem solving questions found in SATs just become part of  your lessons will help pupils feel comfortable with exam terminology, and ensures they are more at ease with being asked the same kind of question (say, multiplying and dividing fractions) in lots of different ways.

These maths problem solving investigations and downloadable resources enable you to include these type of SATs style questions in a way which is fun and confidence boosting.

More problem solving and reasoning articles

• Ultimate Guide to Maths Problem Solving Techniques
• Maths Investigations: How To Develop Mathematical Reasoning
• 35 Year 6 Maths Reasoning Questions .

You don’t need to create your own problem solving investigations – the links at the end of this article should provide you with everything you need. However if you do want to have a go these were our principles and, judging by the number of visits. to the date related articles and downloads of these resources we get every year, they’re still very popular.

1. Date-based themes for maths problem solving activities

Nothing solidifies maths in the real world quite like the real world. Nearly, if not everyday of the year holds some significance to someone.

February? Pancake day, Valentines Day, and Fairtrade Fortnight.

March? Red Nose Day, World Book Day, and Holi.

Why not spice your lesson up and throw in some Pancake Day Maths for ratios, or Bonfire Night Maths for measurements. Capitalise on special celebrations throughout the world to excite and enthuse young learners.

For example these  Christmas activities always prove popular with KS1 and KS2  or at a different time of year you could try these summer  holiday maths investigations  or any of these  maths activities .

2. Trends and pop-culture KS2 maths investigations

Peers and pop culture hold huge sway over most pupils, and the reason for this is that as growing persons we want to fit in and find friends.

Nothing achieves this more effectively than mutual interest. As a teacher, utilise it – whether this is measuring the speed of explosions in the latest Transformer film, or totalling the high notes in Disney’s Moana – you’ll have pupils hooked in no time.

For the exceptionally savvy teacher, you might want to capitalise on the latest fads and trends within your school. How about measuring amounts via the infamous bottle trick, or examining angles through the lens of the dab?

3. Simple stuff engages pupils with maths problem solving and reasoning

Sometimes when teachers link maths back to real world issues, politics, and the universe at large, it can still feel a little dissonant for the younger pupils.

Don’t be afraid to stick with the simple stuff and the smaller aspects of the world.

Everybody needs to know how much change they’ll have left over after a bus ride home, everyone wants to know exactly how many chocolate bars they can gorge themselves on with two pounds, and everyone wants to know how many times they can go on the log-flume with five tickets.

Keeping it simple can be one of the most effective ways to engage pupils by showing them the mathematics they will employ in every-day life.

4. Cool factor for primary teachers – even in maths

Generally – note this is a generalisation – as a secondary teacher, one can spend eternity being uncool. Luckily primary school teachers get an easier rap, and KS2 pupils are willing to be ‘wowed’. All students can be ‘wowed’ under the right circumstances, but with younger, more malleable minds it can be somewhat easier.

Astronauts, magicians, superheroes, cute animals, cartoons, all carry the power of enthusiasm. They can be your secret weapon for making percentages fun – you’re not halving a number, you’re a magician halving a 167cm person in a special box, etc.

5. Make your maths investigations REALLY relevant

Relevance can be highly underrated when it comes to linking seemingly abstract topics to the real world.

One trick is to instead of distributing your problem solving activity sheets with strangers’ names and unrelatable allegories in the questions, why not make those names and allegories about your class.

Instead of a stranger gathering four apples and eating three, make your pupil.

Instead of apples, why not their favourite snack?

Letting students pick names in questions gives them greater agency in their learning and can be highly engaging.

Better still, putting their names/hobbies/likes/dislikes will not only show them that you know them, and that you care, but it will establish clear links between the work they are doing and the world proper.

Here’s our complete list of topical maths investigations for year 5 and year 6.

Autumn Term maths investigations year 6 and year 5

• Autumn maths activities
• Halloween maths activities
• Bonfire Night maths activities
• Christmas maths activities

Spring Term maths investigations year 6 and year 5

• Heart Month Months activities
• Shrove Tuesday Maths activities
• Pancake Day Maths activities
• World Book Day Maths activities
• International Women’s Day Maths activities
• British Science Week Maths activities
• Holi Maths activities
• Easter/Lent Maths activities

Summer term maths investigations year 6 and year 5

• Share-a-Story Month activities
• FA Cup Maths activities
• Walk to School Week activities
• Ramadan Maths activities
• Child Safety Week activities

And if that’s not enough we’ve even got maths activities for Year 5 and Year 6 for events you’re likely to celebrate in primary school but don’t come round every year… 

• Red Nose Day Maths activities
• World Cup Maths activities
• Election Maths
• Jubilee Maths activities

We update these blog posts every year so keep an eye on your calendar, and let us know how you get on @thirdspacetweet.

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Problem solving

Resources to teach problem solving skills

This collection of teaching resources aims to help children develop maths problem solving skills. It features word problems, maths challenges, problem-solving questions and a variety of worksheets and problem solving activities to help your primary school learners develop the problem solving strategies for real life contexts.

Why teach problem solving skills?

Problem solving is a skill that involves a variety of mathematical skills that will help children in real life. From addition and subtraction to fractions, decimals and percentages, we need problem-solving strategies to solve day-to-day problems involving time, money and measurement. Problem solving is an integral strand of the KS2 maths curriculum and children will be tested on their problem-solving skills in their SATs and onwards.

Have you seen our teaching packs for problem solving in maths?

If you’re teaching upper key stage 2, you may like our problem-solving teaching packs: Problem solving - number and Problem solving – measurement, geometry and statistics . Both packs comprise scaffolded word problems and differentiated activities based upon the relevant problem-solving objectives in the national curriculum. Or you may prefer Challenging maths , packed with maths mastery style questions, word problems and games to enrich your maths lessons and turn your year 5/6 class into true problem solvers!

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Reasoning and Problem Solving Questions Collection - KS1 and KS2

Subject: Mathematics

Age range: 5-7

Resource type: Worksheet/Activity

Last updated

10 March 2023

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These booklets each contain over 40 reasoning and problem solving questions suitable for KS1, KS2 and KS3 classes. These are the questions that we have been putting out each day in March 2016 on Twitter in the run up to SATS.

The answers are provided with some simple notes at the back of the booklet and for some problems supplementary questions and variation has been provided.

As always we welcome any feedback on the work we are doing and the materials that we are releasing. Thank you for taking an interest in our work. The White Rose Maths Hub Team

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TES Resource Team

We are pleased to let you know that your resource Reasoning and Problem Solving Questions Collection - KS1 and KS2, has been hand-picked by the Tes resources content team to be featured in https://www.tes.com/teaching-resources/blog/fluency-reasoning-and-problem-solving-primary-maths in April 2024 on https://www.tes.com/teaching-resources/blog. Congratulations on your resource being chosen and thank you for your ongoing contributions to the Tes Resources marketplace.

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graceamfo18

A very good and engaging way to teach mastery of maths. Thank you for sharing

thank you for sharing, this is really good

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• Brain Teasers: Problem-Solving Games for Key Stage 2
• Math Games for Key Stage 2

Brain teasers are a great way for children to engage in problem-solving activities and hone their critical thinking skills. For Key Stage 2 students, these activities can help to develop strong mathematical skills and foster an interest in mathematics. Brain teasers can be used as a fun way to introduce problem-solving concepts and stimulate creative thinking in the classroom. They provide students with the opportunity to practice and apply their math knowledge in real-world scenarios, and can even be used as an assessment tool.

Each type of game has its own set of benefits that help children develop their problem-solving skills. For example, logic puzzles can help children practice logical reasoning and develop their mental agility. Word games can help children with their vocabulary, while math problems can help them develop mathematical reasoning skills. Spatial-reasoning tasks can help children understand patterns in 3D space. When playing brain teasers with children, it’s important to provide support and encouragement.

This helps children feel comfortable making mistakes, which is essential for learning and developing problem-solving skills. It’s important to remember that the goal is not to make the puzzle easier, but to help the child understand why the puzzle is difficult. Additionally, providing positive reinforcement when children complete the puzzle correctly can help them to feel more confident in their abilities. Playing brain teasers can also help children develop critical thinking skills. Critical thinking involves analyzing information and forming conclusions based on evidence.

Encouraging children to think critically about the puzzles they encounter can help them become better problem solvers. Providing questions that require critical thinking can also help children become more aware of the different ways they can approach a problem. Research has found that brain teasers are beneficial for developing problem-solving skills in children. A study conducted by the University of Michigan found that playing brain teasers improves cognitive functioning in children aged 8–15. The study also found that playing brain teasers can lead to improved performance in school tests. Additionally, a study conducted by the University of Cambridge found that playing brain teasers leads to improved test scores in math and English. In conclusion, brain teasers are an excellent way to help children develop their problem-solving skills and have fun at the same time.

The Benefits of Brain Teasers

Brain teasers can also help to make learning more engaging and fun, allowing kids to explore new challenges. Brain teasers are puzzles or challenges that require problem-solving skills and creativity. They often require the player to think outside of the box in order to come up with solutions. Through these challenges, children can learn to consider different possibilities and make deductions.

This can help them to develop their cognitive skills, as well as their ability to think logically and reason effectively. Brain teasers also help to improve focus and concentration. As children work through the puzzles, they must pay attention to the details of the challenge in order to find the correct answer. This can help them to develop their ability to focus on a task for extended periods of time, which is an important skill for school and life.

Types of Brain Teasers

Math puzzles, word puzzles, memory games, creative challenges, how to use brain teasers, provide support and encouragement, break the tasks into smaller chunks, provide positive reinforcement, take breaks.

If your child is feeling overwhelmed or frustrated, take a break. Give them time to relax and recharge before trying again. Brain teasers are a great way to help children in Key Stage 2 develop their problem-solving skills and have fun at the same time. They can provide a variety of benefits, such as improved cognitive development, enhanced concentration, and increased motivation. There are many different types of brain teasers, ranging from word puzzles to math problems.

Parents can use brain teasers to help their children become better problem solvers, and there are many resources available online where they can find additional brain teasers and further reading on the topic. In conclusion, brain teasers are an effective tool for helping children in Key Stage 2 develop their problem-solving skills. Parents can use them to supplement their child’s learning and help them become better problem solvers. For more information about brain teasers and further resources, visit the websites below.

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Two Step Word Problems 2nd Grade Worksheets

Created on Jul 04, 2024

Updated on July 4, 2024

Two step word problems are mathematical problems that require two steps to solve; the steps involve the same or different operations. To solve the 2 step word problems 2nd grade questions, you will read the story or scenario carefully before identifying the steps. 

Afterward, you will write down and solve the equations for the final answer. The second grade two step word problems 2nd grade worksheets are designed to help children develop the skills to tackle word problems confidently

Benefits of two step word problems 2nd grade worksheets 

For second graders, understanding the 2nd grade 2 step word problems is a cheat code for solving several mathematical word problems. Kids may build confidence in their math skills as they work through the two step word problems 2nd grade worksheets, which have a logical easy-to-complex structure.

By studying 2nd grade two step word problems with this math resource, your second graders’ critical thinking and problem-solving skills will improve. Also, it will set the foundation for students to tackle more complex mathematical ideas in later years.

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Say goodbye to your child’s struggles with math.

Regardless of your kids’ learning ability, you can rest assured that they will learn with the two step math problems 2nd grade worksheet. The step-by-step arrangement of the questions means that kids will start from the simplest questions to the relatively complex ones.

Printable PDFs for grade 2 two-step word problems worksheets

The 2 step word problems 2nd grade PDF is ideal for classroom and home use. Using engaging visuals, the worksheet makes learning fun and seamless for students.

I am a seasoned math tutor with over seven years of experience in the field. Holding a Master’s Degree in Education, I take great joy in nurturing young math enthusiasts, regardless of their age, grade, and skill level. Beyond teaching, I am passionate about spending time with my family, reading, and watching movies. My background also includes knowledge in child psychology, which aids in delivering personalized and effective teaching strategies.

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