Visualising and representing

  • Packing Boxes
    problem

    Packing boxes

    Age
    14 to 16
    Challenge level
    filled star filled star empty star
    Look at the times that Harry, Christine and Betty take to pack boxes when working in pairs, to find how fast Christine can pack boxes by herself.
  • Newspaper Sheets
    problem

    Newspaper sheets

    Age
    14 to 16
    Challenge level
    filled star filled star empty star
    From only the page numbers on one sheet of newspaper, can you work out how many sheets there are altogether?
  • Placeholder: several colourful numbers
    problem

    Bent out of shape

    Age
    14 to 18
    Challenge level
    filled star filled star empty star
    An introduction to bond angle geometry.
  • Bike Shop
    problem

    Bike shop

    Age
    14 to 16
    Challenge level
    filled star filled star empty star
    If I walk to the bike shop, but then cycle back, what is my average speed?
  • Relative Time
    problem

    Relative time

    Age
    14 to 16
    Challenge level
    filled star filled star empty star
    Albert Einstein is experimenting with two unusual clocks. At what time do they next agree?
  • Fifty Coins
    problem

    Fifty coins

    Age
    11 to 14
    Challenge level
    filled star filled star empty star
    Cheryl finds a bag of coins. Can you work out how many more 5p coins than 2p coins are in the bag?
  • 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?