Working systematically

  • Grid without Lines
    problem

    Grid Without Lines

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

    Can you remove the least number of points from this diagram, so no three of the remaining points are in a straight line?

  • Kept Apart
    problem

    Kept Apart

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

    The squares of this grid contain one of the letters P, Q, R and S. Can you complete this square so that touching squares do not contain the same letter? How many possibilities are there?

  • Fruit Line-Up
    problem

    Fruit Line-Up

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

    This grocer wants to arrange his fruit in a particular order, can you help him?

  • Colourful Tiles
    problem

    Colourful Tiles

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

    Weekly Problem 21 - 2011
    How many ways can you paint this wall with four different colours?

  • Mini-Sudoku
    problem

    Mini-Sudoku

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

    How many ways are there of completing the mini-sudoku?

  • Magic Error
    problem

    Magic Error

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

    Two of the numbers in a 4×4 magic square have been swapped. Can you work out the sum of these numbers?

  • Subtracting to 2008
    problem

    Subtracting to 2008

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

    Can you work out the sum of the missing digits in this subtraction?

  • Isometric Rhombuses
    problem

    Isometric Rhombuses

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

    Weekly Problem 31 - 2016
    The diagram shows a grid of $16$ identical equilateral triangles. How many rhombuses are there made up of two adjacent small triangles?

  • Half and Half
    problem

    Half and Half

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

    Two of the four small triangles are to be painted black. In how many ways can this be done?

  • Multiplication Table Puzzle
    problem

    Multiplication Table Puzzle

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

    In the multiplication table on the right, only some of the numbers have been given. What is the value of A+B+C+D+E?