Visualising and representing

  • Facial Sums
    problem

    Facial Sums

    Age
    14 to 16
    Challenge level
    filled star filled star empty star
    Can you make the numbers around each face of this solid add up to the same total?
  • Adjacent Factors
    problem

    Adjacent Factors

    Age
    11 to 14
    Challenge level
    filled star filled star empty star
    Two numbers can be placed adjacent if one of them divides the other. Using only $1,...,10$, can you write the longest such list?
  • Folding in Half
    problem

    Folding in Half

    Age
    14 to 16
    Challenge level
    filled star filled star empty star
    How does the perimeter change when we fold this isosceles triangle in half?
  • Reading from Behind
    problem

    Reading From Behind

    Age
    11 to 14
    Challenge level
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    Can you find the time between 3 o'clock and 10 o'clock when my digital clock looks the same from both the front and back?
  • 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?