Working systematically

  • Island Hopping
    problem

    Island hopping

    Age
    11 to 14
    Challenge level
    filled star empty star empty star
    What is the smallest number of ferry trips that Neda needs to take to visit all four islands and return to the mainland?
  • Shifting Times Tables
    problem

    Shifting times tables

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    Can you find a way to identify times tables after they have been shifted up or down?

  • Going round in circles
    problem

    Going round in circles

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    Mathematicians are always looking for efficient methods for solving problems. How efficient can you be?

  • How steep is the slope?
    problem

    How steep is the slope?

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    On the grid provided, we can draw lines with different gradients. How many different gradients can you find? Can you arrange them in order of steepness?

  • Vector walk
    problem

    Vector walk

    Age
    14 to 18
    Challenge level
    filled star empty star empty star

    Starting with two basic vector steps, which destinations can you reach on a vector walk?

  • Sticky Numbers
    problem

    Sticky numbers

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    Can you arrange the numbers 1 to 17 in a row so that each adjacent pair adds up to a square number?

  • Rainstorm sudoku
    problem

    Rainstorm Sudoku

    Age
    14 to 16
    Challenge level
    filled star empty star empty star

    Use the clues about the shaded areas to help solve this sudoku

  • Surprising Transformations
    problem

    Surprising transformations

    Age
    14 to 16
    Challenge level
    filled star filled star empty star

    I took the graph y=4x+7 and performed four transformations. Can you find the order in which I could have carried out the transformations?

  • Keep it simple
    problem

    Keep it simple

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    Can all unit fractions be written as the sum of two unit fractions?

  • Rectangle Outline Sudoku
    problem

    Rectangle outline Sudoku

    Age
    11 to 16
    Challenge level
    filled star filled star empty star

    Each of the main diagonals of this sudoku must contain the numbers 1 to 9 and each rectangle width the numbers 1 to 4.