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In each of these games, you will need a little bit of luck, and your knowledge of place value to develop a winning strategy.
Use your knowledge of place value to try to win this game. How will you maximise your score?
The Number Jumbler can always work out your chosen symbol. Can you work out how?
Try out this number trick. What happens with different starting numbers? What do you notice?
Who said that adding, subtracting, multiplying and dividing couldn't be fun?
Where should you start, if you want to finish back where you started?
What happens when you add a three digit number to its reverse?
By selecting digits for an addition grid, what targets can you make?
Try out some calculations. Are you surprised by the results?
Have a go at balancing this equation. Can you find different ways of doing it?
Use two dice to generate two numbers with one decimal place. What happens when you round these numbers to the nearest whole number?
What happens when you round these three-digit numbers to the nearest 100?
What happens when you round these numbers to the nearest whole number?
Can you work out some different ways to balance this equation?
Can you complete this calculation by filling in the missing numbers? In how many different ways can you do it?
Exploring the structure of a number square: how quickly can you put the number tiles in the right place on the grid?
Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...
Who said that adding, subtracting, multiplying and dividing couldn't be fun?
There are nasty versions of this dice game but we'll start with the nice ones...
This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?
You have two sets of the digits 0-9. Can you arrange these in the five boxes to make four-digit numbers as close to the target numbers as possible?
Four of these clues are needed to find the chosen number on this grid and four are true but do nothing to help in finding the number. Can you sort out the clues and find the number?
Watch our videos of multiplication methods that you may not have met before. Can you make sense of them?
In this 100 square, look at the green square which contains the numbers 2, 3, 12 and 13. What is the sum of the numbers that are diagonally opposite each other? What do you notice?
Do you agree with Badger's statements? Is Badger's reasoning 'watertight'? Why or why not?
How many more miles must the car travel before the numbers on the milometer and the trip meter contain the same digits in the same order?
Can you show that 1^99 + 2^99 + 3^99 + 4^99 + 5^99 is divisible by 5?
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.
Can you replace the letters with numbers? Is there only one solution in each case?
How many six digit numbers are there which DO NOT contain a 5?
Which is quicker, counting up to 30 in ones or counting up to 300 in tens? Why?
Think of two whole numbers under 10, and follow the steps. I can work out both your numbers very quickly. How?
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.
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?
How many solutions can you find to this sum? Each of the different letters stands for a different number.
There are six numbers written in five different scripts. Can you sort out which is which?
Take any four digit number. Move the first digit to the end and move the rest along. Now add your two numbers. Did you get a multiple of 11?
Three people chose this as a favourite problem. It is the sort of problem that needs thinking time - but once the connection is made it gives access to many similar ideas.
Suppose you had to begin the never ending task of writing out the natural numbers: 1, 2, 3, 4, 5.... and so on. What would be the 1000th digit you would write down.
Consider all two digit numbers (10, 11, . . . ,99). In writing down all these numbers, which digits occur least often, and which occur most often ? What about three digit numbers, four digit numbers and so on?
This challenge is to make up YOUR OWN alphanumeric. Each letter represents a digit and where the same letter appears more than once it must represent the same digit each time.
How many positive integers less than or equal to 4000 can be written down without using the digits 7, 8 or 9?
Amazing as it may seem the three fives remaining in the following `skeleton' are sufficient to reconstruct the entire long division sum.
When asked how old she was, the teacher replied: My age in years is not prime but odd and when reversed and added to my age you have a perfect square...
Find the values of the nine letters in the sum: FOOT + BALL = GAME
Choose any 3 digits and make a 6 digit number by repeating the 3 digits in the same order (e.g. 594594). Explain why whatever digits you choose the number will always be divisible by 7, 11 and 13.
What do the digits in the number fifteen add up to? How many other numbers have digits with the same total but no zeros?
Choose two digits and arrange them to make two double-digit numbers. Now add your double-digit numbers. Now add your single digit numbers. Divide your double-digit answer by your single-digit answer. Try lots of examples. What happens? Can you explain it?