
Domino sorting
Try grouping the dominoes in the ways described. Are there any left over each time? Can you explain why?

Strike it out
Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.

Count the digits
In this investigation we are going to count the number of 1s, 2s, 3s etc in numbers. Can you predict what will happen?


Dicey array
Watch the video of this game being played. Can you work out the rules? Which dice totals are good to get, and why?

How many?
This project challenges you to work out the number of cubes hidden under a cloth. What questions would you like to ask?

All change
There are three versions of this challenge. The idea is to change the colour of all the spots on the grid. Can you do it in fewer throws of the dice?

Buzzy bee
Buzzy Bee was building a honeycomb. She decorated the honeycomb with a pattern using numbers. Can you discover Buzzy's pattern and fill in the empty cells for her?


Eightness of eight

Digit addition
Try out this number trick. What happens with different starting numbers? What do you notice?

Subtraction slip
Can you spot the mistake in this video? How would you work out the answer to this calculation?


Ladybirds in the garden
In Sam and Jill's garden there are two sorts of ladybirds with 7 spots or 4 spots. What numbers of total spots can you make?

Make 37
Four bags contain a large number of 1s, 3s, 5s and 7s. Can you pick any ten numbers from the bags so that their total is 37?

Ring a ring of numbers
Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.

Light the lights
Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?

What's in a name?
Here's a very elementary code that requires young children to read a table, and look for similarities and differences.

The Brown family
Use the information about Sally and her brother to find out how many children there are in the Brown family.

Lots of lollies
Frances and Rishi were given a bag of lollies. They shared them out evenly and had one left over. How many lollies could there have been in the bag?

More numbers in the ring



More Dicey operations
In these multiplication and division games, you'll need to think strategically to get closest to the target.

Number differences

Coded hundred square
This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?

Nice or nasty
There are nasty versions of this dice game but we'll start with the nice ones...

Three dice
Investigate the sum of the numbers on the top and bottom faces of a line of three dice. What do you notice?

Follow the numbers
What happens when you add the digits of a number then multiply the result by 2 and you keep doing this? You could try for different numbers and different rules.

Dicey operations
In these addition and subtraction games, you'll need to think strategically to get closest to the target.

Bryony's triangle
Watch the video to see how to fold a square of paper to create a flower. What fraction of the piece of paper is the small triangle?

Consecutive numbers
An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.


Statement snap
You'll need to know your number properties to win a game of Statement Snap...

Which scripts?
There are six numbers written in five different scripts. Can you sort out which is which?


Abundant numbers
48 is called an abundant number because it is less than the sum of its factors (without itself). Can you find some more abundant numbers?

Twenty divided into six
Katie had a pack of 20 cards numbered from 1 to 20. She arranged the cards into 6 unequal piles where each pile added to the same total. What was the total and how could this be done?

Table patterns go wild!
Nearly all of us have made table patterns on hundred squares, that is 10 by 10 grids. This problem looks at the patterns on differently sized square grids.

Counting cogs
Which pairs of cogs let the coloured tooth touch every tooth on the other cog? Which pairs do not let this happen? Why?

Light the lights again
Each light in this interactivity turns on according to a rule. What happens when you enter different numbers? Can you work out the rule for each light?

Pebbles
Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?


Round and round the circle
What happens if you join every second point on this circle? How about every third point? Try with different steps and see if you can predict what will happen.

Amy's dominoes
Amy has a box containing domino pieces but she does not think it is a complete set. Which of her domino pieces are missing?

Curious number
Can you order the digits from 1-3 to make a number which is divisible by 3 so when the last digit is removed it becomes a 2-figure number divisible by 2, and so on?