There are **126** NRICH Mathematical resources connected to **Place value**, you may find related items under The Number System and Place Value.

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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.

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Use your knowledge of place value to try to win this game. How will you maximise your score?

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The Number Jumbler can always work out your chosen symbol. Can you work out how?

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Try out this number trick. What happens with different starting numbers? What do you notice?

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Where should you start, if you want to finish back where you started?

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What happens when you add a three digit number to its reverse?

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By selecting digits for an addition grid, what targets can you make?

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Try out some calculations. Are you surprised by the results?

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Have a go at balancing this equation. Can you find different ways of doing it?

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Use two dice to generate two numbers with one decimal place. What happens when you round these numbers to the nearest whole number?

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What happens when you round these three-digit numbers to the nearest 100?

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What happens when you round these numbers to the nearest whole number?

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Can you work out some different ways to balance this equation?

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Can you complete this calculation by filling in the missing numbers? In how many different ways can you do it?

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What two-digit numbers can you make with these two dice? What can't you make?

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Exploring the structure of a number square: how quickly can you put the number tiles in the right place on the grid?

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Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...

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Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?

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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?

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Who said that adding, subtracting, multiplying and dividing couldn't be fun?

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There are nasty versions of this dice game but we'll start with the nice ones...

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This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?

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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?

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Watch our videos of multiplication methods that you may not have met before. Can you make sense of them?

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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?

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Do you agree with Badger's statements? Is Badger's reasoning 'watertight'? Why or why not?

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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?

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Can you show that 1^99 + 2^99 + 3^99 + 4^99 + 5^99 is divisible by 5?

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Can you replace the letters with numbers? Is there only one solution in each case?

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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?

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How many six digit numbers are there which DO NOT contain a 5?

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Which is quicker, counting up to 30 in ones or counting up to 300 in tens? Why?

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Think of two whole numbers under 10, and follow the steps. I can work out both your numbers very quickly. How?

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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.

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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?

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Can you produce convincing arguments that a selection of statements about numbers are true?

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How many solutions can you find to this sum? Each of the different letters stands for a different number.

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There are six numbers written in five different scripts. Can you sort out which is which?

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Can you explain the surprising results Jo found when she calculated the difference between square numbers?

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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?

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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.

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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?

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Can you create a Latin Square from multiples of a six digit number?

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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?

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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?

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What is the smallest perfect square that ends with the four digits 9009?

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What do the digits in the number fifteen add up to? How many other numbers have digits with the same total but no zeros?

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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?