Being resourceful

  • Forwards Add Backwards
    problem

    Forwards add backwards

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

    What happens when you add a three digit number to its reverse?

  • About Average
    problem

    About average

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

    Can you find sets of numbers which satisfy each of our mean, median, mode and range conditions?

  • Half a minute
    problem

    Half a minute

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

    Anna, Ben and Charlie have been estimating 30 seconds. Who is the best?

  • Beach Huts
    problem

    Beach huts

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

    Can you figure out how sequences of beach huts are generated?

  • Growing Surprises
    problem

    Growing surprises

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

    Can you find the connections between linear and quadratic patterns?

  • Gabriel's Problem
    problem

    Gabriel's problem

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

    Gabriel multiplied together some numbers and then erased them. Can you figure out where each number was?

  • Transformation Game
    game
    Favourite

    Transformation game

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

    Why not challenge a friend to play this transformation game?

  • Legs Eleven
    problem

    Legs eleven

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

    Take any four digit number. Move the first digit to the end and move the rest along. Now add your two numbers. Did you get a multiple of 11?

  • Where can we visit?
    problem

    Where can we visit?

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

    Charlie and Abi put a counter on 42. They wondered if they could visit all the other numbers on their 1-100 board, moving the counter using just these two operations: x2 and -5. What do you think?

  • 1 Step 2 Step
    problem

    1 step 2 step

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

    Liam's house has a staircase with 12 steps. He can go down the steps one at a time or two at time. In how many different ways can Liam go down the 12 steps?