Visualising and representing

  • Add to 200
    problem

    Add to 200

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

    By selecting digits for an addition grid, what targets can you make?

  • Quadrilaterals in a Square
    problem

    Quadrilaterals in a square

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

    What's special about the area of quadrilaterals drawn in a square?

  • Triangles in a Square
    problem

    Triangles in a square

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

    What are the possible areas of triangles drawn in a square?

  • Seeing Squares for Two
    game

    Seeing squares for two

    Age
    5 to 11
    Challenge level
    filled star empty star empty star
    Seeing Squares game for an adult and child. Can you come up with a way of always winning this game?
  • Two Spinners
    problem

    Two spinners

    Age
    5 to 7
    Challenge level
    filled star empty star empty star
    What two-digit numbers can you make with these two dice? What can't you make?
  • Trisected Triangle
    problem

    Trisected triangle

    Age
    14 to 16
    Challenge level
    filled star filled star empty star
    Weekly Problem 34 - 2015
    Four tiles are given. For which of them can three be placed together to form an equilateral triangle?
  • Eulerian
    problem

    Eulerian

    Age
    14 to 16
    Challenge level
    filled star empty star empty star
    Weekly Problem 37 - 2014
    Which of the five diagrams below could be drawn without taking the pen off the page and without drawing along a line already drawn?
  • Product and Sum
    problem

    Product and sum

    Age
    11 to 14
    Challenge level
    filled star filled star empty star
    When Jim rolled some dice, the scores had the same product and sum. How many dice did Jim roll?
  • Pyramidal n-gon
    problem

    Pyramidal n-gon

    Age
    14 to 16
    Challenge level
    filled star filled star empty star
    The base of a pyramid has n edges. What is the difference between the number of edges the pyramid has and the number of faces the pyramid has?
  • Reflected Back
    problem

    Reflected back

    Age
    11 to 14
    Challenge level
    filled star filled star empty star
    Imagine reflecting the letter P in all three sides of a triangle in turn. What is the final result?