There are 126 NRICH Mathematical resources connected to Place value, you may find related items under The Number System and Place Value.
Broad Topics > The Number System and Place Value > Place value
More Less Is More
Age 7 to 14
Challenge Level
In each of these games, you will need a little bit of luck, and your knowledge of place value to develop a winning strategy.
Less Is More
Age 7 to 11
Challenge Level
Use your knowledge of place value to try to win this game. How will you maximise your score?
The Number Jumbler
Age 7 to 14
Challenge Level
The Number Jumbler can always work out your chosen symbol. Can you work out how?
Digit Addition
Age 5 to 11
Challenge Level
Try out this number trick. What happens with different starting numbers? What do you notice?
Reversals
Age 11 to 14
Challenge Level
Where should you start, if you want to finish back where you started?
Forwards Add Backwards
Age 11 to 14
Challenge Level
What happens when you add a three digit number to its reverse?
Add to 200
Age 11 to 14
Challenge Level
By selecting digits for an addition grid, what targets can you make?
Subtraction Surpriselive
Age 7 to 14
Challenge Level
Try out some calculations. Are you surprised by the results?
Multiply Multiples 3
Age 7 to 11
Challenge Level
Have a go at balancing this equation. Can you find different ways of doing it?
Round the Dice Decimals 1
Age 7 to 11
Challenge Level
Use two dice to generate two numbers with one decimal place. What happens when you round these numbers to the nearest whole number?
Round the Three Dice
Age 7 to 11
Challenge Level
What happens when you round these three-digit numbers to the nearest 100?
Round the Dice Decimals 2
Age 7 to 11
Challenge Level
What happens when you round these numbers to the nearest whole number?
Multiply Multiples 2
Age 7 to 11
Challenge Level
Can you work out some different ways to balance this equation?
Multiply Multiples 1
Age 7 to 11
Challenge Level
Can you complete this calculation by filling in the missing numbers? In how many different ways can you do it?
Two Spinners
Age 5 to 7
Challenge Level
What two-digit numbers can you make with these two dice? What can't you make?
That Number Square
Age 5 to 11
Challenge Level
Exploring the structure of a number square: how quickly can you put the number tiles in the right place on the grid?
Always a Multiple?
Age 11 to 14
Challenge Level
Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...
Light the Lights
Age 5 to 7
Challenge Level
Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?
Our Numbers
Age 5 to 7
Challenge Level
These spinners will give you the tens and unit digits of a number. Can you choose sets of numbers to collect so that you spin six numbers belonging to your sets in as few spins as possible?
Dicey Operations
Age 11 to 14
Challenge Level
Who said that adding, subtracting, multiplying and dividing couldn't be fun?
Nice or Nasty
Age 7 to 14
Challenge Level
There are nasty versions of this dice game but we'll start with the nice ones...
Coded Hundred Square
Age 7 to 11
Challenge Level
This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?
What Do You Need?
Age 7 to 11
Challenge Level
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?
Method in Multiplying Madness?
Age 7 to 14
Challenge Level
Watch our videos of multiplication methods that you may not have met before. Can you make sense of them?
Diagonal Sums
Age 7 to 14
Challenge Level
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?
An Easy Way to Multiply by 10?
Age 7 to 11
Challenge Level
Do you agree with Badger's statements? Is Badger's reasoning 'watertight'? Why or why not?
How Many Miles to Go?
Age 11 to 14
Challenge Level
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?
What an Odd Fact(or)
Age 11 to 14
Challenge Level
Can you show that 1^99 + 2^99 + 3^99 + 4^99 + 5^99 is divisible by 5?
Trebling
Age 7 to 11
Challenge Level
Can you replace the letters with numbers? Is there only one solution in each case?
Sixty-seven Squared
Age 16 to 18
Challenge Level
Evaluate these powers of 67. What do you notice? Can you convince someone what the answer would be to (a million sixes followed by a 7) squared?
Six Times Five
Age 11 to 14
Challenge Level
How many six digit numbers are there which DO NOT contain a 5?
Which Is Quicker?
Age 7 to 11
Challenge Level
Which is quicker, counting up to 30 in ones or counting up to 300 in tens? Why?
Think of Two Numbers
Age 11 to 14
Challenge Level
Think of two whole numbers under 10, and follow the steps. I can work out both your numbers very quickly. How?
Reach 100
Age 7 to 11
Challenge Level
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.
All the Digits
Age 7 to 11
Challenge Level
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?
Number Rules - OK
Age 14 to 16
Challenge Level
Can you produce convincing arguments that a selection of statements about numbers are true?
Two and Two
Age 11 to 16
Challenge Level
How many solutions can you find to this sum? Each of the different letters stands for a different number.
Which Scripts?
Age 7 to 11
Challenge Level
There are six numbers written in five different scripts. Can you sort out which is which?
Plus Minus
Age 14 to 16
Challenge Level
Can you explain the surprising results Jo found when she calculated the difference between square numbers?
Legs Eleven
Age 11 to 14
Challenge Level
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?
Big Powers
Age 11 to 16
Challenge Level
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.
2-digit Square
Age 14 to 16
Challenge Level
A 2-Digit number is squared. When this 2-digit number is reversed and squared, the difference between the squares is also a square. What is the 2-digit number?
Latin Numbers
Age 14 to 16
Challenge Level
Can you create a Latin Square from multiples of a six digit number?
Writing Digits
Age 5 to 7
Challenge Level
Lee was writing all the counting numbers from 1 to 20. She stopped for a rest after writing seventeen digits. What was the last number she wrote?
BT.. Eat Your Heart Out
Age 16 to 18
Challenge Level
If the last four digits of my phone number are placed in front of the remaining three you get one more than twice my number! What is it?
Purr-fection
Age 16 to 18
Challenge Level
What is the smallest perfect square that ends with the four digits 9009?
Six Is the Sum
Age 7 to 11
Challenge Level
What do the digits in the number fifteen add up to? How many other numbers have digits with the same total but no zeros?
Double Digit
Age 11 to 14
Challenge Level
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?
NRICH is part of the family of activities in the Millennium Mathematics Project.