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.


  • 100 Square Jigsaw
    problem
    Favourite

    100 Square Jigsaw

    Age
    5 to 11
    Challenge level
    1 out of 3

    Can you complete this jigsaw of the 100 square?

  • That number square
    problem
    Favourite

    That Number Square

    Age
    5 to 11
    Challenge level
    1 out of 3

    How quickly can you put the number tiles in the right place on the number square?

  • problem
    Favourite

    Which Is Quicker?

    Age
    7 to 11
    Challenge level
    1 out of 3

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

  • Trebling
    problem
    Favourite

    Trebling

    Age
    7 to 11
    Challenge level
    1 out of 3

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

  • An Easy Way to Multiply by 10?
    problem
    Favourite

    An Easy Way to Multiply by 10?

    Age
    7 to 11
    Challenge level
    1 out of 3

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

  • Multiply Multiples 1
    problem
    Favourite

    Multiply Multiples 1

    Age
    7 to 11
    Challenge level
    1 out of 3

    Can you complete this calculation by filling in the missing numbers?

  • Multiply Multiples 2
    problem
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    Multiply Multiples 2

    Age
    7 to 11
    Challenge level
    1 out of 3

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

  • Round the Dice Decimals 2
    problem
    Favourite

    Round the Dice Decimals 2

    Age
    7 to 11
    Challenge level
    1 out of 3

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

  • Multiply Multiples 3
    problem
    Favourite

    Multiply Multiples 3

    Age
    7 to 11
    Challenge level
    1 out of 3

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

  • The Deca Tree
    problem
    Favourite

    The Deca Tree

    Age
    7 to 11
    Challenge level
    1 out of 3

    A Deca Tree has 10 trunks, and on each trunk are 10 branches, and on each branch are 10 twigs...

  • Theatre masks showing 'comedy' and 'tragedy'.
    problem
    Favourite

    Nice or Nasty

    Age
    7 to 11
    Challenge level
    1 out of 3

    Will you play the nice or the nasty version of this dice game?

  • Round the Three Dice
    problem
    Favourite

    Round the Three Dice

    Age
    7 to 11
    Challenge level
    1 out of 3

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

  • Round the Dice Decimals 1
    problem
    Favourite

    Round the Dice Decimals 1

    Age
    7 to 11
    Challenge level
    1 out of 3

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

  • Which Scripts?
    problem
    Favourite

    Which Scripts?

    Age
    7 to 11
    Challenge level
    1 out of 3

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

  • What Do you Need?
    problem
    Favourite

    What Do You Need?

    Age
    7 to 11
    Challenge level
    1 out of 3

    Which of these clues are needed to find the number? Which clues aren't helpful?

  • Coded hundred square
    problem
    Favourite

    Coded Hundred Square

    Age
    7 to 11
    Challenge level
    1 out of 3

    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
    Favourite

    All the Digits

    Age
    7 to 11
    Challenge level
    2 out of 3

    This multiplication uses each of the digits 0 - 9. Can you work out where each digit goes?

  • problem
    Favourite

    Reach 100

    Age
    7 to 11
    Challenge level
    2 out of 3

    Can you use four digits to make four two-digit numbers that add to 100?

  • Digit Addition
    problem
    Favourite

    Digit Addition

    Age
    7 to 11
    Challenge level
    2 out of 3

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

  • Subtraction Surprise
    problem
    Favourite

    Subtraction Surprise

    Age
    7 to 14
    Challenge level
    1 out of 3

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

  • Less is More
    problem
    Favourite

    Less Is More

    Age
    7 to 14
    Challenge level
    1 out of 3

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

  • Dicey Operations
    game
    Favourite

    More Dicey Operations

    Age
    7 to 14
    Challenge level
    1 out of 3

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

  • Dicey Operations
    game
    Favourite

    Dicey Operations

    Age
    7 to 14
    Challenge level
    1 out of 3

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

  • Diagonal Sums
    problem
    Favourite

    Diagonal Sums

    Age
    7 to 14
    Challenge level
    2 out of 3

    In this 100 square, what is the sum of the numbers that are diagonally opposite each other?

  • Two and Two
    problem
    Favourite

    Two and Two

    Age
    7 to 16
    Challenge level
    3 out of 3

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