Working systematically

  • Unit Differences
    problem

    Unit Differences

    Age
    5 to 7
    Challenge level

    This challenge is about finding the difference between numbers which have the same tens digit.

  • Dienes' Logiblocs
    problem

    Dienes' Logiblocs

    Age
    5 to 7
    Challenge level

    This problem focuses on Dienes' Logiblocs. What is the same and what is different about these pairs of shapes? Can you describe the shapes in the picture?

  • 3 blocks towers
    problem

    Three Block Towers

    Age
    5 to 7
    Challenge level

    Take three differently coloured blocks - maybe red, yellow and blue. Make a tower using one of each colour. How many different towers can you make?

  • Leap Frog
    problem

    Leap Frog

    Age
    5 to 7
    Challenge level
    The brown frog and green frog want to swap places without getting wet. They can hop onto a lily pad next to them, or hop over each other. How could they do it?
  • Snakes
    problem

    Snakes

    Age
    5 to 7
    Challenge level

    Explore the different snakes that can be made using 5 cubes.

  • Jumping Cricket
    problem

    Jumping Cricket

    Age
    5 to 7
    Challenge level
    El Crico the cricket has to cross a square patio to get home. He can jump the length of one tile, two tiles and three tiles. Can you find a path that would get El Crico home in three jumps?
  • Yellow, green, purple and blue plastic bears in a line.
    problem

    Teddy Bear Line-Up

    Age
    5 to 7
    Challenge level

    What is the least number of moves you can take to rearrange the bears so that no bear is next to a bear of the same colour?

  • Briefcase Lock
    problem

    Briefcase Lock

    Age
    5 to 7
    Challenge level
    My briefcase has a three-number combination lock, but I have forgotten the combination. I remember that there's a 3, a 5 and an 8. How many possible combinations are there to try?
  • Whose Sandwich?
    problem

    Whose Sandwich?

    Age
    5 to 7
    Challenge level
    Chandra, Jane, Terry and Harry ordered their lunches from the sandwich shop. Use the information below to find out who ordered each sandwich.
  • Mrs Beeswax
    problem

    Mrs Beeswax

    Age
    5 to 7
    Challenge level

    In how many ways could Mrs Beeswax put ten coins into her three puddings so that each pudding ended up with at least two coins?

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