Make your own double-sided magic square. But can you complete both sides once you've made the pieces?
Strike it Out game for an adult and child. Can you stop your partner from being able to go?
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
A game for 2 players. Practises subtraction or other maths operations knowledge.
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10 will be?
Here is a chance to play a version of the classic Countdown Game.
Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?
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?
This challenge focuses on finding the sum and difference of pairs of two-digit numbers.
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
There are 78 prisoners in a square cell block of twelve cells. The clever prison warder arranged them so there were 25 along each wall of the prison block. How did he do it?
Exactly 195 digits have been used to number the pages in a book. How many pages does the book have?
Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.
Choose a symbol to put into the number sentence.
In how many ways could Mrs Beeswax put ten coins into her three puddings so that each pudding ended up with at least two coins?
In a square in which the houses are evenly spaced, numbers 3 and 10 are opposite each other. What is the smallest and what is the largest possible number of houses in the square?
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?
There are 4 jugs which hold 9 litres, 7 litres, 4 litres and 2 litres. Find a way to pour 9 litres of drink from one jug to another until you are left with exactly 3 litres in three of the jugs.
A game for 2 or more players with a pack of cards. Practise your skills of addition, subtraction, multiplication and division to hit the target score.
There are nasty versions of this dice game but we'll start with the nice ones...
A game for 2 or more players. Practise your addition and subtraction with the aid of a game board and some dried peas!
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?
Winifred Wytsh bought a box each of jelly babies, milk jelly bears, yellow jelly bees and jelly belly beans. In how many different ways could she make a jolly jelly feast with 32 legs?
You have 5 darts and your target score is 44. How many different ways could you score 44?
Start by putting one million (1 000 000) into the display of your calculator. Can you reduce this to 7 using just the 7 key and add, subtract, multiply, divide and equals as many times as you like?
You have two egg timers. One takes 4 minutes exactly to empty and the other takes 7 minutes. What times in whole minutes can you measure and how?
This is an adding game for two players.
This task follows on from Build it Up and takes the ideas into three dimensions!
Can you use the numbers on the dice to reach your end of the number line before your partner beats you?
Investigate the different ways that fifteen schools could have given money in a charity fundraiser.
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.
Got It game for an adult and child. How can you play so that you know you will always win?
A game for 2 people. Use your skills of addition, subtraction, multiplication and division to blast the asteroids.
Add or subtract the two numbers on the spinners and try to complete a row of three. Are there some numbers that are good to aim for?
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.
Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
On the planet Vuv there are two sorts of creatures. The Zios have 3 legs and the Zepts have 7 legs. The great planetary explorer Nico counted 52 legs. How many Zios and how many Zepts were there?
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?
This task, written for the National Young Mathematicians' Award 2016, focuses on 'open squares'. What would the next five open squares look like?
What do the digits in the number fifteen add up to? How many other numbers have digits with the same total but no zeros?
Use these head, body and leg pieces to make Robot Monsters which are different heights.
This problem is based on a code using two different prime numbers less than 10. You'll need to multiply them together and shift the alphabet forwards by the result. Can you decipher the code?
Look carefully at the numbers. What do you notice? Can you make another square using the numbers 1 to 16, that displays the same properties?
Place the digits 1 to 9 into the circles so that each side of the triangle adds to the same total.
The clockmaker's wife cut up his birthday cake to look like a clock face. Can you work out who received each piece?
This problem is based on the story of the Pied Piper of Hamelin. Investigate the different numbers of people and rats there could have been if you know how many legs there are altogether!
When I fold a 0-20 number line, I end up with 'stacks' of numbers on top of each other. These challenges involve varying the length of the number line and investigating the 'stack totals'.
Can you design a new shape for the twenty-eight squares and arrange the numbers in a logical way? What patterns do you notice?
I throw three dice and get 5, 3 and 2. Add the scores on the three dice. What do you get? Now multiply the scores. What do you notice?
Using the statements, can you work out how many of each type of rabbit there are in these pens?