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

What's in a name?

Ordering cards

How many?

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?

Double or halve?


Always, sometimes or never?
Are these statements relating to odd and even numbers always true, sometimes true or never true?

Birthday sharing

Cuisenaire counting

Tables teaser

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.

Sort them out (1)

Biscuit decorations

The add and take-away path




How do you see it?
Here are some short problems for you to try. Talk to your friends about how you work them out.

Robot monsters
Use these head, body and leg pieces to make Robot Monsters which are different heights.

Are you well balanced?

Same length trains

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

Growing garlic
Ben and his mum are planting garlic. Can you find out how many cloves of garlic they might have had?

Arranging additions and sorting subtractions

Number match
A task which depends on members of the group noticing the needs of others and responding.

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

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

I like ...


Even and odd

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?

That number square

One big triangle
Make one big triangle so the numbers that touch on the small triangles add to 10.

Butterfly flowers
Can you find two butterflies to go on each flower so that the numbers on each pair of butterflies adds to the number on their flower?

Fraction match
A task which depends on members of the group noticing the needs of others and responding.

Ip dip
"Ip dip sky blue! Who's 'it'? It's you!" Where would you position yourself so that you are 'it' if there are two players? Three players ...?

Eightness of eight

Secret number
Annie and Ben are playing a game with a calculator. What was Annie's secret number?

6 beads
If you put three beads onto a tens/ones abacus you can make the numbers 3, 30, 12 or 21. What numbers can be made with six beads?

Making sticks

Jumping squares

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.

Birthday cakes

The tall tower

Grouping goodies
Pat counts her sweets in different groups and both times she has some left over. How many sweets could she have had?

4 dom

Journeys in Numberland
Tom and Ben visited Numberland. Use the maps to work out the number of points each of their routes scores.


Factors and multiples game
A game in which players take it in turns to choose a number. Can you block your opponent?

Let us divide!

Less is more

Sweets in a box
How many different shaped boxes can you design for 36 sweets in one layer? Can you arrange the sweets so that no sweets of the same colour are next to each other in any direction?

Always, sometimes or never? Number
Are these statements always true, sometimes true or never true?

Highest and lowest

The moons of Vuvv
The planet of Vuvv has seven moons. Can you work out how long it is between each super-eclipse?

Picture your method

Compare the calculations
Can you put these four calculations into order of difficulty? How did you decide?

Multiplication squares
Can you work out the arrangement of the digits in the square so that the given products are correct? The numbers 1 - 9 may be used once and once only.



Carrying cards
These sixteen children are standing in four lines of four, one behind the other. They are each holding a card with a number on it. Can you work out the missing numbers?

An easy way to multiply by 10?

The Deca Tree
Find out what a Deca Tree is and then work out how many leaves there will be after the woodcutter has cut off a trunk, a branch, a twig and a leaf.

Number differences

First connect three

Magic Vs
Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?

Space distances

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

Shape times shape
These eleven shapes each stand for a different number. Can you use the number sentences to work out what they are?


Times tables shifts
In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?

Planning a school trip

How do you do it?
This group activity will encourage you to share calculation strategies and to think about which strategy might be the most efficient.

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

Fractional triangles
Use the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.

Representing numbers

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?

Matching fractions
Can you find different ways of showing the same fraction? Try this matching game and see.

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?

Reach 100
Choose four different digits from 1-9 and put one in each box so that the resulting four two-digit numbers add to a total of 100.

Sealed solution

Got it
A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.

Mystery matrix

All the digits
This multiplication uses each of the digits 0 - 9 once and once only. Using the information given, can you replace the stars in the calculation with figures?

Factor lines
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.

Two primes make one square
Can you make square numbers by adding two prime numbers together?

Remainders
I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?



Multiples grid
What do the numbers shaded in blue on this hundred square have in common? What do you notice about the pink numbers? How about the shaded numbers in the other squares?

What distance?
Can you use addition and subtraction to answer these questions about real-life distances?

Factor-multiple chains
Can you see how these factor-multiple chains work? Find the chain which contains the smallest possible numbers. How about the largest possible numbers?

Forgot the numbers
On my calculator I divided one whole number by another whole number and got the answer 3.125. If the numbers are both under 50, what are they?

Doughnut percents

Roll these dice
Roll two red dice and a green dice. Add the two numbers on the red dice and take away the number on the green. What are all the different possible answers?


Chocolate
There are three tables in a room with blocks of chocolate on each. Where would be the best place for each child in the class to sit if they came in one at a time?
