Working systematically

  • Difference
    problem

    Difference

    Age
    7 to 11
    Challenge level

    Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.

  • Count the Trapeziums
    problem

    Count the Trapeziums

    Age
    7 to 11
    Challenge level
    How many trapeziums, of various sizes, are hidden in this picture?
  • Shunting Puzzle
    problem

    Shunting Puzzle

    Age
    7 to 11
    Challenge level
    Can you shunt the trucks so that the Cattle truck and the Sheep truck change places and the Engine is back on the main line?
  • Single Track
    problem

    Single Track

    Age
    7 to 11
    Challenge level
    What is the best way to shunt these carriages so that each train can continue its journey?
  • Make Pairs
    problem

    Make Pairs

    Age
    7 to 11
    Challenge level

    Put 10 counters in a row. Find a way to arrange the counters into five pairs, evenly spaced in a row, in just 5 moves, using the rules.

  • Pouring the Punch Drink
    problem

    Pouring the Punch Drink

    Age
    7 to 11
    Challenge level

    There are 4 jugs which hold 9 litres, 7 litres, 4 litres and 2 litres. Find a way to pour 9 litres of drink from one jug to another until you are left with exactly 3 litres in three of the jugs.

  • Calendar Cubes
    problem

    Calendar Cubes

    Age
    7 to 11
    Challenge level
    Make a pair of cubes that can be moved to show all the days of the month from the 1st to the 31st.
  • Waiting for Blast Off
    problem

    Waiting for Blast Off

    Age
    7 to 11
    Challenge level
    10 space travellers are waiting to board their spaceships. There are two rows of seats in the waiting room. Using the rules, where are they all sitting? Can you find all the possible ways?
  • Wag Worms
    problem

    Wag Worms

    Age
    7 to 11
    Challenge level

    When intergalactic Wag Worms are born they look just like a cube. Each year they grow another cube in any direction. Find all the shapes that five-year-old Wag Worms can be.

  • A Bit of a Dicey problem
    problem

    A Bit of a Dicey Problem

    Age
    7 to 11
    Challenge level

    When you throw two regular, six-faced dice you have more chance of getting one particular result than any other. What result would that be? Why is this?

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