List

Primary Toughnuts



We sometimes have unsolved problems which require solutions. If there are any below, do consider having a go at them, and send us your solutions.

You may be interested in the article we have written, which explains what we are looking for when we decide which solutions to publish.

Pattern and Structure
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Pattern and Structure

Age
3 to 11
The tasks in this feature for Primary teachers will help you to develop learners' awareness of pattern and will serve as a springboard to exploring mathematical structures.
The Value of Two
article

The Value of Two

Ruth Trundley outlines her doctoral research and concludes that development of an understanding of cardinality is a crucial element of counting that can be overlooked.
Developing Number Through Tidying Up
article

Developing Number Through Tidying Up

This article describes how one nursery setting focused on tidying up time as a context in which to explicitly target the development of number and calculation skills.
Placeholder: several colourful numbers
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Working with a grown-up?

Age
3 to 7
Lower primary tasks designed for an adult and child to work on together, adapted from some of our activities for developing group-working skills.
Young Children's Mathematical Recording
article

Young Children's Mathematical Recording

In this article, Janine Davenall reflects on children's personalised mathematical recordings as part of a small research project based in her Reception class.
Early Number Sense
article

Early Number Sense

This article explores the basic foundations of number sense and outlines relevant research in this area.
Subitising
article

Subitising

In this article for EY practitioners, Dr Sue Gifford outlines what we mean by subitising and how we can teach it.
Placeholder: several colourful numbers
article

Rich mathematics

In this very brief article, the NRICH Team outlines what they understand by the term 'rich mathematics'.
Dot Card Games
article

Dot Card Games

These games devised by Jenni Way use dot cards which will help children see the structure of numbers 1-6 and give them confidence as they begin to add and subtract these numbers.
Models in mind
article

Models in mind

This article looks at how models support mathematical thinking about numbers and the number system
Maths at Home
article

Maths at Home

This article for teachers, parents and carers offers guidance on how learners can get the most out of the activities in our Maths at Home features.
Ten-frames Games
article

Ten-frames Games

These games use ten-frames to develop children's 'sense of ten'.
Using dice games in the classroom
article

Using dice games in the classroom

This article outlines some of the benefits of using dice games in the classroom, especially as a tool for formative assessment.
Welcoming Your New Class
article

Welcoming Your New Class

What might your first lesson with a new class look like? In this article, Cherri Moseley makes some suggestions for primary teachers.
Getting the balance right
article

Getting the balance right

In this article for primary teachers, Ems shares some common misconceptions surrounding the equals sign, and suggests ways to help learners develop their understanding.
Red or Black Spinner
interactivity

Red or Black Spinner

A simple spinner that is equally likely to land on Red or Black. Useful if tossing a coin, dropping it, and rummaging about on the floor have lost their appeal. Needs a modern browser; if IE then at least version 9.
Seesaw Shenanigans
problem
Favourite

Seesaw Shenanigans

Age
3 to 7
Challenge level
filled star empty star empty star

A group of animals has made a seesaw in the woods. How can you make the seesaw balance?

History of Money
article

History of Money

If you would like a new CD you would probably go into a shop and buy one using coins or notes. (You might need to do a bit of saving first!) However, this way of paying for the things you want did not always exist. Find out more ...
Geometry
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Geometry

Age
5 to 11
This collection of tasks focus on the concepts of shape, position and movement.
Geoboards
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Geoboards

Age
5 to 11
This feature brings together activities which make use of a geoboard or pegboard.
Why dialogue matters in primary proof
article

Why dialogue matters in primary proof

In this article for Primary teachers, Ems explores three essential features of proof, all of which can be developed in the context of primary mathematics through talk.
Group-working skills
article

Group-working skills

This article for teachers suggests a range of activities to help children get better at working in groups.
Logic, and how it should influence our teaching
article

Logic, and how it should influence our teaching

Providing opportunities for children to participate in group narrative in our classrooms is vital. Their contrasting views lead to a high level of revision and improvement, and through this process they become more aware of "thinking". This article looks at the way we handle these narratives.
Numbers and Notation - Ambiguities and Confusions
article

Numbers and Notation - Ambiguities and Confusions

While musing about the difficulties children face in comprehending number structure, notation, etc., it occured to the author that there is a vast array of occasions when numbers and signs are used in anomalous ways; often these are at the earliest stages, when they must be enormously confusing. However, they also frequently happen in adult situations.
Being Playful, Becoming Engaged
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Being Playful, Becoming Engaged

Age
5 to 11
The problems in this feature will help to inspire your learners to be playful, become engaged, and then think deeply about the mathematical contexts that underpin them.
Maths at Home
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Maths at Home

Age
5 to 11
This feature is full of activities for you to work on at home.
Puzzling with Paper
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Puzzling with Paper

Age
5 to 7
This feature challenges you to create different shapes by folding A-sized paper. Grab some paper and get folding!
Measurement
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Measurement

Age
5 to 11
These resources are based around measuring in a variety of different ways.
KS1 Roadshow
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KS1 Roadshow

Age
5 to 7

These hands-on activities are designed for Key Stage 1 children.

Number Facts
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Number Facts

Age
5 to 7
These activities will help you know and use number facts.
Developing Group-working Skills
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Developing Group-working Skills

Age
5 to 11
This collection of activities offers an opportunity for you to focus on improving children's group-working skills. Read the articles to find out how group tasks help to develop children's problem-solving skills and our reasons for selecting these particular tasks.
Measurement
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Measurement

Age
5 to 7
These activities are all about measuring different things, including time! Can you try and make a sensible guess about the size of something before you measure it?
Natural Born Mathematicians
article

Natural Born Mathematicians

Helen Joyce interviews the neuropsychologist Brian Butterworth whose research has shown that we are all born with a "built-in" sense of cardinal number.