Working systematically

  • Calcunos
    problem

    Calcunos

    Age
    7 to 11
    Challenge level
    filled star filled star filled star
    If we had 16 light bars which digital numbers could we make? How will you know you've found them all?
  • Making Squares
    problem

    Making Squares

    Age
    7 to 11
    Challenge level
    filled star filled star filled star
    Investigate all the different squares you can make on this 5 by 5 grid by making your starting side go from the bottom left hand point. Can you find out the areas of all these squares?
  • A glass bowl of cream-coloured ice cream.
    problem

    Ice Cream

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

    In the café, your ice cream selection can't include a combination that someone else has chosen. What could these seven children have chosen?

  • A row of bungalows with triangular roofs.
    problem

    Penta Place

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

    Penta people, the Pentominoes, always build their houses from five square rooms. I wonder how many different Penta homes you can create?

  • On Target
    problem

    On Target

    Age
    7 to 11
    Challenge level
    filled star filled star filled star
    You have 5 darts and your target score is 44. How many different ways could you score 44?
  • ABC
    problem

    ABC

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

    In the multiplication calculation, some of the digits have been replaced by letters and others by asterisks. Can you reconstruct the original multiplication?

  • 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?