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.
This is an adding game for two players.
Investigate the different ways that fifteen schools could have given money in a charity fundraiser.
Try entering different sets of numbers in the number pyramids. How does the total at the top change?
Can you explain how this card trick works?
Can you explain the strategy for winning this game with any target?
Strike it Out game for an adult and child. Can you stop your partner from being able to go?
Here is a chance to play a fractions version of the classic Countdown Game.
A game for 2 players. Practises subtraction or other maths operations knowledge.
Got It game for an adult and child. How can you play so that you know you will always win?
If you take a three by three square on a 1-10 addition square and multiply the diagonally opposite numbers together, what is the difference between these products. Why?
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
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?
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.
The letters in the following addition sum represent the digits 1 ... 9. If A=3 and D=2, what number is represented by "CAYLEY"?
Tom and Ben visited Numberland. Use the maps to work out the number of points each of their routes scores.
Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.
Do you notice anything about the solutions when you add and/or subtract consecutive negative numbers?
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?
Charlie has made a Magic V. Can you use his example to make some more? And how about Magic Ls, Ns and Ws?
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 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.
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?
Different combinations of the weights available allow you to make different totals. Which totals can you make?
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 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.
How many different differences can you make?
A number game requiring a strategy.
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?
This task follows on from Build it Up and takes the ideas into three dimensions!
Delight your friends with this cunning trick! Can you explain how it works?
Five numbers added together in pairs produce: 0, 2, 4, 4, 6, 8, 9, 11, 13, 15 What are the five numbers?
This Sudoku requires you to do some working backwards before working forwards.
This challenge focuses on finding the sum and difference of pairs of two-digit numbers.
Find the values of the nine letters in the sum: FOOT + BALL = GAME
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?
By selecting digits for an addition grid, what targets can you make?
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?
This task, written for the National Young Mathematicians' Award 2016, focuses on 'open squares'. What would the next five open squares look like?
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!
15 = 7 + 8 and 10 = 1 + 2 + 3 + 4. Can you say which numbers can be expressed as the sum of two or more consecutive integers?
The Scot, John Napier, invented these strips about 400 years ago to help calculate multiplication and division. Can you work out how to use Napier's bones to find the answer to these multiplications?
This Sudoku, based on differences. Using the one clue number can you find the solution?
An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.
Using the statements, can you work out how many of each type of rabbit there are in these pens?
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.