NRICH at Every Stage

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 

Age 5 to 11
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 

Age 5 to 7 Challenge Level:
How could you estimate the number of pencils/pens in these pictures?

Heads and Feet 

Age 5 to 7 Challenge Level:
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 

Age 5 to 7 Challenge Level:
What could these drawings, found in a cave in Spain, represent?

Prompt Cards 

Age 7 to 11 Challenge Level:
These two group activities use mathematical reasoning - one is numerical, one geometric.

Maze 100 

Age 7 to 11 Challenge Level:
Can you go through this maze so that the numbers you pass add to exactly 100?

Money Bags 

Age 5 to 11 Challenge Level:
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 

Age 5 to 7 Challenge Level:
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? 

Age 5 to 7 Challenge Level:
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 

Age 7 to 11 Challenge Level:
Put operations signs between the numbers 3 4 5 6 to make the highest possible number and lowest possible number.

Take Three Numbers 

Age 7 to 11 Challenge Level:
What happens when you add three numbers together? Will your answer be odd or even? How do you know?

Pass the Peas, Please 

Age 5 to 7 Challenge Level:
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 

Age 7 to 11 Challenge Level:
This challenge is a game for two players. Choose two numbers from the grid and multiply or divide, then mark your answer on the number line. Can you get four in a row before your partner?