Working systematically

  • Cayley
    problem

    Cayley

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

    The letters in the following addition sum represent the digits 1 ... 9. If A=3 and D=2, what number is represented by "CAYLEY"?

  • Football crazy Hockey mad
    problem

    Football Crazy Hockey Mad

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

    In a league of 5 football teams which play in a round robin tournament show that it is possible for all five teams to be league leaders.

  • Satnav Dilemma
    problem

    Satnav Dilemma

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

    How many routes are there in this diagram from S to T?

  • Negative Dice
    problem

    Negative Dice

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

    If the odd numbers on two dice are made negative, which of the totals cannot be achieved?

  • Nine, Ten and One
    problem

    Nine, Ten and One

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

    Can you find the value of t in these equations?

  • Multiply the Addition Square
    problem

    Multiply the Addition Square

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

    If you take a three by three square on a 1-10 addition square and multiply the diagonally opposite numbers together, what is the difference between these products. Why?

  • Making 11p
    problem

    Making 11p

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

    How many ways are there to make 11p using 1p, 2p and 5p coins?

  • Fly Away
    problem

    Fly Away

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

    Can you work out the values of the digits in this addition sum?

  • Flag-tastic
    problem

    Flag-Tastic

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

    How many different flags can you make?