Place value

  • Eleven
    problem

    Eleven

    Age
    11 to 14
    Challenge level
    filled star filled star empty star
    Replace each letter with a digit to make this addition correct.
  • Spell by Numbers
    problem

    Spell by Numbers

    Age
    7 to 11
    Challenge level
    filled star filled star empty star
    Can you substitute numbers for the letters in these sums?
  • Arrange the Digits
    problem

    Arrange the Digits

    Age
    11 to 14
    Challenge level
    filled star filled star empty star
    Can you arrange the digits 1,2,3,4,5,6,7,8,9 into three 3-digit numbers such that their total is close to 1500?
  • So Many Sums
    problem

    So Many Sums

    Age
    11 to 14
    Challenge level
    filled star filled star empty star
    In this addition each letter stands for a different digit, with S standing for 3. What is the value of YxO?
  • Alien Counting
    problem

    Alien Counting

    Age
    7 to 11
    Challenge level
    filled star filled star empty star
    Investigate the different ways these aliens count in this challenge. You could start by thinking about how each of them would write our number 7.
  • Kangaroo Subtraction
    problem

    Kangaroo Subtraction

    Age
    11 to 14
    Challenge level
    filled star filled star empty star
    Can you solve this 'KANGAROO' alphanumeric subtraction?
  • Halfway
    problem

    Halfway

    Age
    11 to 14
    Challenge level
    filled star filled star empty star
    Can you find a number that is halfway between two fractions?
  • Double with 1 to 9
    problem

    Double With 1 to 9

    Age
    11 to 14
    Challenge level
    filled star filled star empty star
    Can you find a number and its double using the digits $1$ to $9$ only once each?
  • X marks the spot
    problem

    X Marks the Spot

    Age
    11 to 14
    Challenge level
    filled star filled star filled star
    When the number x 1 x x x is multiplied by 417 this gives the answer 9 x x x 0 5 7. Find the missing digits, each of which is represented by an "x" .
  • Back to Basics
    problem

    Back to Basics

    Age
    14 to 16
    Challenge level
    filled star filled star filled star
    Find b where 3723(base 10) = 123(base b).