How have the numbers been placed in this Carroll diagram? Which labels would you put on each row and column?

Got It game for an adult and child. How can you play so that you know you will always win?

Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?

Jack's mum bought some candles to use on his birthday cakes and when his sister was born, she used them on her cakes too. Can you use the information to find out when Kate was born?

Claire thinks she has the most sports cards in her album. "I have 12 pages with 2 cards on each page", says Claire. Ross counts his cards. "No! I have 3 cards on each of my pages and there are. . . .

Place the numbers from 1 to 9 in the squares below so that the difference between joined squares is odd. How many different ways can you do this?

In this game, you can add, subtract, multiply or divide the numbers on the dice. Which will you do so that you get to the end of the number line first?

A game for 2 people using a pack of cards Turn over 2 cards and try to make an odd number or a multiple of 3.

This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.

In this game for two players, the idea is to take it in turns to choose 1, 3, 5 or 7. The winner is the first to make the total 37.

There are three baskets, a brown one, a red one and a pink one, holding a total of 10 eggs. Can you use the information given to find out how many eggs are in each basket?

Woof is a big dog. Yap is a little dog. Emma has 16 dog biscuits to give to the two dogs. She gave Woof 4 more biscuits than Yap. How many biscuits did each dog get?

First Connect Three game for an adult and child. Use the dice numbers and either addition or subtraction to get three numbers in a straight line.

Arrange the numbers 1 to 6 in each set of circles below. The sum of each side of the triangle should equal the number in its centre.

There were 22 legs creeping across the web. How many flies? How many spiders?

Here is a chance to play a version of the classic Countdown Game.

Skippy and Anna are locked in a room in a large castle. The key to that room, and all the other rooms, is a number. The numbers are locked away in a problem. Can you help them to get out?

Fill in the numbers to make the sum of each row, column and diagonal equal to 15.

Fill in the missing numbers so that adding each pair of corner numbers gives you the number between them (in the box).

Benâ€™s class were cutting up number tracks. First they cut them into twos and added up the numbers on each piece. What patterns could they see?

How would you count the number of fingers in these pictures?

Fill in the numbers to make the sum of each row, column and diagonal equal to 34. For an extra challenge try the huge American Flag magic square.

This challenge focuses on finding the sum and difference of pairs of two-digit numbers.

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

Exactly 195 digits have been used to number the pages in a book. How many pages does the book have?

Use five steps to count forwards or backwards in 1s or 10s to get to 50. What strategies did you use?

Make your own double-sided magic square. But can you complete both sides once you've made the pieces?

Put operations signs between the numbers 3 4 5 6 to make the highest possible number and lowest possible number.

On Planet Plex, there are only 6 hours in the day. Can you answer these questions about how Arog the Alien spends his day?

Find the sum and difference between a pair of two-digit numbers. Now find the sum and difference between the sum and difference! What happens?

Can you see why 2 by 2 could be 5? Can you predict what 2 by 10 will be?

There are 44 people coming to a dinner party. There are 15 square tables that seat 4 people. Find a way to seat the 44 people using all 15 tables, with no empty places.

Can you draw a continuous line through 16 numbers on this grid so that the total of the numbers you pass through is as high as possible?

In this game for two players, the aim is to make a row of four coins which total one dollar.

Move from the START to the FINISH by moving across or down to the next square. Can you find a route to make these totals?

In this calculation, the box represents a missing digit. What could the digit be? What would the solution be in each case?

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

This task follows on from Build it Up and takes the ideas into three dimensions!

A game for 2 people. Use your skills of addition, subtraction, multiplication and division to blast the asteroids.

Can you find all the ways to get 15 at the top of this triangle of numbers?

As you come down the ladders of the Tall Tower you collect useful spells. Which way should you go to collect the most spells?

Can you put plus signs in so this is true? 1 2 3 4 5 6 7 8 9 = 99 How many ways can you do it?

The clockmaker's wife cut up his birthday cake to look like a clock face. Can you work out who received each piece?

Twizzle, a female giraffe, needs transporting to another zoo. Which route will give the fastest journey?

This task, written for the National Young Mathematicians' Award 2016, invites you to explore the different combinations of scores that you might get on these dart boards.

We start with one yellow cube and build around it to make a 3x3x3 cube with red cubes. Then we build around that red cube with blue cubes and so on. How many cubes of each colour have we used?

This magic square has operations written in it, to make it into a maze. Start wherever you like, go through every cell and go out a total of 15!

Zumf makes spectacles for the residents of the planet Zargon, who have either 3 eyes or 4 eyes. How many lenses will Zumf need to make all the different orders for 9 families?