List

NRICH at Every Stage

Whether you are pausing to reflect on children's learning so far, or thinking about planning an exciting mathematics activity to explore during some transition time, the article and tasks offer a plethora of ideas which could be slotted into different time frames.

So, if you only have a short amount of time, have a look at the problems we have selected. For longer periods of time, perhaps over a day or several days, the investigations are a perfect choice. However, you may choose to use a game, particularly if you are not sure if your audience will be super excited or a bit nervous!

NRICH at Every Stage
article

NRICH at Every Stage

Whether you are reflecting on the mathematical developments children have made over the year, or thinking about activities for a transition day this article offers plenty of ideas and tasks to support you.
Count the Crayons
problem
Favourite

Count the Crayons

Age
5 to 7
Challenge level
filled star empty star empty star
How could you estimate the number of pencils/pens in these pictures?
Heads and Feet
problem
Favourite

Heads and Feet

Age
5 to 7
Challenge level
filled star filled star empty star
On a farm there were some hens and sheep. Altogether there were 8 heads and 22 feet. How many hens were there?
Stone Age Counting
problem

Stone Age Counting

Age
5 to 7
Challenge level
filled star empty star empty star
What could these drawings, found in a cave in Spain, represent?
Prompt Cards
problem

Prompt Cards

Age
7 to 11
Challenge level
filled star empty star empty star
These two group activities use mathematical reasoning - one is numerical, one geometric.
Maze 100
problem
Favourite

Maze 100

Age
7 to 11
Challenge level
filled star filled star empty star
Can you go through this maze so that the numbers you pass add to exactly 100?
Money Bags
problem
Favourite

Money Bags

Age
5 to 11
Challenge level
filled star filled star empty star
Ram divided 15 pennies among four small bags. He could then pay any sum of money from 1p to 15p without opening any bag. How many pennies did Ram put in each bag?
How Odd
problem
Favourite

How Odd

Age
5 to 7
Challenge level
filled star filled star empty star
This problem challenges you to find out how many odd numbers there are between pairs of numbers. Can you find a pair of numbers that has four odds between them?
What Could \It Be?
problem
Favourite

What Could It Be?

Age
5 to 7
Challenge level
filled star empty star empty star
In this calculation, the box represents a missing digit. What could the digit be? What would the solution be in each case?
Highest and Lowest
problem
Favourite

Highest and Lowest

Age
7 to 11
Challenge level
filled star empty star empty star
Put operations signs between the numbers 3 4 5 6 to make the highest possible number and lowest possible number.
Take three numbers
problem
Favourite

Take three numbers

Age
7 to 11
Challenge level
filled star empty star empty star

What happens when you add three numbers together? Will your answer be odd or even? How do you know?

Pass the Peas, Please
game

Pass the Peas, Please

A game for 2 or more players. Practise your addition and subtraction with the aid of a game board and some dried peas!

Four Go
problem
Favourite

Four Go

Age
7 to 11
Challenge level
filled star filled star empty star
This challenge is a game for two players. Choose two of the numbers to multiply or divide, then mark your answer on the number line. Can you get four in a row?
NRICH at Stage 1
list

NRICH at Stage 1

Age
5 to 7
Choose a problem, investigation or game. Which is your favourite?
Placeholder: several colourful numbers
list

NRICH at Stage 2

Age
7 to 11
In this feature we have selected some problems which you could do in a short amount of time, or some longer investigations if you have more time.