Visualising and representing

  • 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?
  • 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?
  • 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?
  • 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?
  • Doubly Symmetric
    problem

    Doubly Symmetric

    Age
    11 to 14
    Challenge level
    filled star filled star empty star
    What is the smallest number of additional squares that must be shaded so that this figure has at least one line of symmetry and rotational symmetry of order 2?
  • Travelling by Train
    problem

    Travelling by Train

    Age
    14 to 16
    Challenge level
    filled star filled star empty star
    Stephen stops at Darlington on his way to Durham. At what time does he arrive at Durham?
  • Oldest and Youngest
    problem

    Oldest and Youngest

    Age
    14 to 16
    Challenge level
    filled star filled star empty star
    Edith had 9 children at 15 month intervals. If the oldest is now six times as old as the youngest, how old is her youngest child?
  • Travelator
    problem

    Travelator

    Age
    14 to 16
    Challenge level
    filled star filled star empty star
    When Andrew arrives at the end of the walkway, how far is he ahead of Bill?
  • Same Face
    problem

    Same Face

    Age
    11 to 14
    Challenge level
    filled star filled star empty star
    A cube is rolled on a plane, landing on the squares in the order shown. Which two positions had the same face of the cube touching the surface?
  • Tennis Training
    problem

    Tennis Training

    Age
    14 to 16
    Challenge level
    filled star filled star empty star
    After tennis training, Andy, Roger and Maria collect up the balls. Can you work out how many Andy collects?