This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
Delight your friends with this cunning trick! Can you explain how it works?
Can you find six numbers to go in the Daisy from which you can make all the numbers from 1 to a number bigger than 25?
Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.
This article for teachers suggests ideas for activities built around 10 and 2010.
There are nasty versions of this dice game but we'll start with the nice ones...
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?
Here is a chance to play a fractions version of the classic Countdown Game.
Here is a chance to play a version of the classic Countdown Game.
Make your own double-sided magic square. But can you complete both sides once you've made the pieces?
A game for 2 players. Practises subtraction or other maths operations knowledge.
Can you explain how this card trick works?
This Sudoku requires you to do some working backwards before working forwards.
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.
Can you explain the strategy for winning this game with any target?
Investigate the different distances of these car journeys and find out how long they take.
Different combinations of the weights available allow you to make different totals. Which totals can you make?
Try entering different sets of numbers in the number pyramids. How does the total at the top change?
This is an adding game for two players.
Strike it Out game for an adult and child. Can you stop your partner from being able to go?
A cinema has 100 seats. Show how it is possible to sell exactly 100 tickets and take exactly £100 if the prices are £10 for adults, 50p for pensioners and 10p for children.
Got It game for an adult and child. How can you play so that you know you will always win?
This article explains how to make your own magic square to mark a special occasion with the special date of your choice on the top line.
Choose a symbol to put into the number sentence.
How many solutions can you find to this sum? Each of the different letters stands for a different number.
A game for 2 people. Use your skills of addition, subtraction, multiplication and division to blast the asteroids.
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.
Tom and Ben visited Numberland. Use the maps to work out the number of points each of their routes scores.
Three children are going to buy some plants for their birthdays. They will plant them within circular paths. How could they do this?
Is it possible to rearrange the numbers 1,2......12 around a clock face in such a way that every two numbers in adjacent positions differ by any of 3, 4 or 5 hours?
During the third hour after midnight the hands on a clock point in the same direction (so one hand is over the top of the other). At what time, to the nearest second, does this happen?
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?
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.
This task, written for the National Young Mathematicians' Award 2016, involves open-topped boxes made with interlocking cubes. Explore the number of units of paint that are needed to cover the boxes. . . .
How is it possible to predict the card?
This Sudoku, based on differences. Using the one clue number can you find the solution?
Have a go at this game which involves throwing two dice and adding their totals. Where should you place your counters to be more likely to win?
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 challenge extends the Plants investigation so now four or more children are involved.
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?
A lady has a steel rod and a wooden pole and she knows the length of each. How can she measure out an 8 unit piece of pole?
A number game requiring a strategy.
Do you notice anything about the solutions when you add and/or subtract consecutive negative numbers?
The letters in the following addition sum represent the digits 1 ... 9. If A=3 and D=2, what number is represented by "CAYLEY"?
This article suggests some ways of making sense of calculations involving positive and negative numbers.
Investigate the different ways that fifteen schools could have given money in a charity fundraiser.
This task follows on from Build it Up and takes the ideas into three dimensions!
Five numbers added together in pairs produce: 0, 2, 4, 4, 6, 8, 9, 11, 13, 15 What are the five numbers?