Place Value: Age 7-11
This is part of our collection of favourite rich tasks arranged by topic.
If you are a teacher, you can find the whole collection on our Primary Curriculum teacher page.
Alternatively, if you are a student, you'll find the same problems on our Primary Curriculum student page.
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problemFavouriteThat Number Square
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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problemFavouriteWhich Is Quicker?
Which is quicker, counting up to 30 in ones or counting up to 300 in tens? Why?
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problemFavouriteTrebling
Can you replace the letters with numbers? Is there only one solution in each case?
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problemFavouriteAn Easy Way to Multiply by 10?
Do you agree with Badger's statements? Is Badger's reasoning 'watertight'? Why or why not?
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problemFavouriteMultiply Multiples 1
Can you complete this calculation by filling in the missing numbers? In how many different ways can you do it?
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problemFavouriteMultiply Multiples 2
Can you work out some different ways to balance this equation?
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problemFavouriteRound the Dice Decimals 2
What happens when you round these numbers to the nearest whole number?
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problemFavouriteMultiply Multiples 3
Have a go at balancing this equation. Can you find different ways of doing it?
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problemFavouriteThe Deca Tree
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.
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problemFavouriteNice or Nasty
There are nasty versions of this dice game but we'll start with the nice ones...
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problemFavouriteRound the Three Dice
What happens when you round these three-digit numbers to the nearest 100?
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problemFavouriteRound the Dice Decimals 1
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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problemFavouriteWhich Scripts?
There are six numbers written in five different scripts. Can you sort out which is which?
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problemFavouriteWhat Do You Need?
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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problemFavouriteCoded Hundred Square
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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problemFavouriteAll the Digits
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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problemFavouriteReach 100
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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problemFavouriteDigit Addition
Try out this number trick. What happens with different starting numbers? What do you notice?
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problemFavouriteSubtraction Surprise
Try out these calculations. Are you surprised by the results?
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problemFavouriteLess Is More
Use your knowledge of place value to try to win this game. How will you maximise your score?
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gameFavouriteMore Dicey Operations
In these multiplication and division games, you'll need to think strategically to get closest to the target.
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gameFavouriteDicey Operations
In these addition and subtraction games, you'll need to think strategically to get closest to the target.
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problemFavouriteDiagonal Sums
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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problemFavouriteTwo and Two
How many solutions can you find to this sum? Each of the different letters stands for a different number.