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.


  • Round the Three Dice
    problem
    Favourite

    Round the Three Dice

    Age
    7 to 11
    Challenge level
    filled star empty star empty star

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

  • problem
    Favourite

    Which Is Quicker?

    Age
    7 to 11
    Challenge level
    filled star empty star empty star

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

  • Trebling
    problem
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    Trebling

    Age
    7 to 11
    Challenge level
    filled star empty star empty star

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

  • An Easy Way to Multiply by 10?
    problem
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    An Easy Way to Multiply by 10?

    Age
    7 to 11
    Challenge level
    filled star empty star empty star

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

  • Multiply Multiples 1
    problem
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    Multiply Multiples 1

    Age
    7 to 11
    Challenge level
    filled star empty star empty star

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

  • Multiply Multiples 2
    problem
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    Multiply Multiples 2

    Age
    7 to 11
    Challenge level
    filled star empty star empty star

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

  • Round the Dice Decimals 2
    problem
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    Round the Dice Decimals 2

    Age
    7 to 11
    Challenge level
    filled star empty star empty star

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

  • Multiply Multiples 3
    problem
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    Multiply Multiples 3

    Age
    7 to 11
    Challenge level
    filled star empty star empty star

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

  • Less is More
    problem
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    Less Is More

    Age
    7 to 11
    Challenge level
    filled star empty star empty star

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

  • The Deca Tree
    problem
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    The Deca Tree

    Age
    7 to 11
    Challenge level
    filled star empty star empty star

    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.

  • The Thousands Game
    problem
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    The Thousands Game

    Age
    7 to 11
    Challenge level
    filled star empty star empty star

    Each child in Class 3 took four numbers out of the bag. Who had made the highest even number?

  • An arrow target with three arrows sticking out of the centre section.
    problem
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    Four-Digit Targets

    Age
    7 to 11
    Challenge level
    filled star empty star empty star

    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?

  • Nice or Nasty
    problem
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    Nice or Nasty

    Age
    7 to 11
    Challenge level
    filled star empty star empty star

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

  • Round the Dice Decimals 1
    problem
    Favourite

    Round the Dice Decimals 1

    Age
    7 to 11
    Challenge level
    filled star empty star empty star

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

  • Which Scripts?
    problem
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    Which Scripts?

    Age
    7 to 11
    Challenge level
    filled star empty star empty star

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

  • What Do you Need?
    problem
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    What Do You Need?

    Age
    7 to 11
    Challenge level
    filled star empty star empty star

    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?

  • Coded hundred square
    problem
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    Coded Hundred Square

    Age
    7 to 11
    Challenge level
    filled star empty star empty star

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

  • All the Digits
    problem
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    All the Digits

    Age
    7 to 11
    Challenge level
    filled star filled star empty star

    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?

  • problem
    Favourite

    Reach 100

    Age
    7 to 11
    Challenge level
    filled star filled star empty star

    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.

  • Dicey Operations
    game
    Favourite

    Dicey Operations

    Age
    7 to 14
    Challenge level
    filled star empty star empty star

    In these addition and subtraction games, you'll need to think strategically to get closest to the target.

  • Dicey Operations
    game
    Favourite

    More Dicey Operations

    Age
    7 to 14
    Challenge level
    filled star empty star empty star

    In these multiplication and division games, you'll need to think strategically to get closest to the target.

  • Subtraction Surprise
    problem
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    Subtraction Surprise

    Age
    7 to 14
    Challenge level
    filled star empty star empty star

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

  • Diagonal Sums
    problem
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    Diagonal Sums

    Age
    7 to 14
    Challenge level
    filled star filled star empty star

    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?

  • Two and Two
    problem
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    Two and Two

    Age
    7 to 16
    Challenge level
    filled star filled star filled star

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