Divisibility

  • Share Bears
    problem

    Share bears

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

    Yasmin and Zach have some bears to share. Which numbers of bears can they share so that there are none left over?

  • Division Rules
    problem

    Division rules

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

    This challenge encourages you to explore dividing a three-digit number by a single-digit number.

  • Book Codes
    problem

    Book codes

    Age
    7 to 11
    Challenge level
    filled star filled star empty star
    Look on the back of any modern book and you will find an ISBN code. Take this code and calculate this sum in the way shown. Can you see what the answers always have in common?
  • Neighbours
    problem

    Neighbours

    Age
    7 to 11
    Challenge level
    filled star filled star empty star
    In a square in which the houses are evenly spaced, numbers 3 and 10 are opposite each other. What is the smallest and what is the largest possible number of houses in the square?
  • problem

    Gran, how old are you?

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

    When Charlie asked his grandmother how old she is, he didn't get a straightforward reply! Can you work out how old she is?

  • Curious number
    problem

    Curious number

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

    Can you order the digits from 1-3 to make a number which is divisible by 3 so when the last digit is removed it becomes a 2-figure number divisible by 2, and so on?

  • Four playing cards on top of each other. Each card shows a different ace.
    problem

    Statement snap

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

    You'll need to know your number properties to win a game of Statement Snap...

  • The Remainders Game
    game
    Favourite

    The remainders game

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

    Play this game and see if you can figure out the computer's chosen number.

  • Dozens
    problem

    Dozens

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

    Can you select the missing digit(s) to find the largest multiple?

  • A chopped carrot beside a whole carrot. The carrot top sits away from the chopped carrot.
    problem

    Remainders

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

    I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?