Year 8 Being resourceful

  • 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?

  • 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?

  • Stars
    problem

    Stars

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

    Can you work out what step size to take to ensure you visit all the dots on the circle?

  • Shapely pairs
    problem

    Shapely pairs

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

    A game in which players take it in turns to turn up two cards. If they can draw a triangle which satisfies both properties they win the pair of cards. And a few challenging questions to follow...

  • Property chart
    problem

    Property chart

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

    A game in which players take it in turns to try to draw quadrilaterals (or triangles) with particular properties. Is it possible to fill the game grid?

  • Always a multiple?
    problem

    Always a multiple?

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

    Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...

  • Seven Squares
    problem

    Seven squares

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

    Watch these videos to see how Phoebe, Alice and Luke chose to draw 7 squares. How would they draw 100?

  • Unequal Averages
    problem

    Unequal averages

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

    Play around with sets of five numbers and see what you can discover about different types of average...

  • Charlie's delightful machine
    problem

    Charlie's delightful machine

    Age
    11 to 16
    Challenge level
    filled star empty star empty star

    Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?