Working systematically

  • A green tree in a field of yellow flowers.
    problem

    Family Tree

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

    Use the clues to find out who's who in the family, to fill in the family tree and to find out which of the family members are mathematicians and which are not.

  • Palindromic Date
    problem

    Palindromic Date

    Age
    7 to 11
    Challenge level
    filled star filled star filled star
    What is the date in February 2002 where the 8 digits are palindromic if the date is written in the British way?
  • Difference
    problem

    Difference

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

    Shunting Puzzle

    Age
    7 to 11
    Challenge level
    filled star filled star filled star
    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
    filled star filled star filled star
    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
    filled star filled star filled star
    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.
  • Quadrilaterals
    problem
    Favourite

    Quadrilaterals

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

    How many DIFFERENT quadrilaterals can be made by joining the dots on the 8-point circle?

  • Pouring the Punch Drink
    problem

    Pouring the Punch Drink

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

    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
    filled star filled star filled star
    Make a pair of cubes that can be moved to show all the days of the month from the 1st to the 31st.