Year 5 Being resourceful

  • Dicey Array
    game
    Favourite

    Dicey array

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

    Watch the video of this game being played. Can you work out the rules? Which dice totals are good to get, and why?

  • swimming pool
    problem

    Swimming pool

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

    In this problem, we're investigating the number of steps we would climb up or down to get out of or into the swimming pool. How could you number the steps below the water?

  • problem

    Abundant numbers

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

    48 is called an abundant number because it is less than the sum of its factors (without itself). Can you find some more abundant numbers?

  • problem

    Flashing lights

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

    Norrie sees two lights flash at the same time, then one of them flashes every 4th second, and the other flashes every 5th second. How many times do they flash together during a whole minute?

  • problem

    Multiplication squares

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

    Can you work out the arrangement of the digits in the square so that the given products are correct? The numbers 1 - 9 may be used once and once only.

  • Trebling
    problem

    Trebling

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

    Can you replace the letters with numbers? Is there only one solution in each case?

  • Odd Squares
    problem

    Odd squares

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

    Think of a number, square it and subtract your starting number. Is the number you're left with odd or even? How do the images help to explain this?

  • problem

    Up and down staircases

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

    One block is needed to make an up-and-down staircase, with one step up and one step down. How many blocks would be needed to build an up-and-down staircase with 5 steps up and 5 steps down?

  • Brush Loads
    problem

    Brush loads

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

    How can you arrange the 5 cubes so that you need the smallest number of Brush Loads of paint to cover them? Try with other numbers of cubes as well.

  • Sea Level
    problem

    Sea level

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

    What numbers would you put on this number line as it goes under the sea level?