Fractions

  • There's a limit
    problem
    Favourite

    There's a Limit

    Age
    14 to 18
    Challenge level

    Explore the continued fraction: 2+3/(2+3/(2+3/2+...)) What do you notice when successive terms are taken? What happens to the terms if the fraction goes on indefinitely?

  • As Easy as 1,2,3
    problem

    As Easy as 1,2,3

    Age
    11 to 14
    Challenge level
    When I type a sequence of letters my calculator gives the product of all the numbers in the corresponding memories. What numbers should I store so that when I type 'ONE' it returns 1, and when I type 'TWO' it returns 2, and so on.
  • Bull's Eye
    problem

    Bull's Eye

    Age
    11 to 14
    Challenge level
    What fractions of the largest circle are the two shaded regions?
  • Water lilies
    problem

    Water Lilies

    Age
    11 to 14
    Challenge level
    There are some water lilies in a lake. The area that they cover doubles in size every day. After 17 days the whole lake is covered. How long did it take them to cover half the lake?
  • Circuit training
    problem

    Circuit Training

    Age
    14 to 16
    Challenge level
    Mike and Monisha meet at the race track, which is 400m round. Just to make a point, Mike runs anticlockwise whilst Monisha runs clockwise. Where will they meet on their way around and will they ever meet at the start again? If so, after how many circuits?
  • Lower Bound
    problem

    Lower Bound

    Age
    14 to 16
    Challenge level
    What would you get if you continued this sequence of fraction sums? 1/2 + 2/1 = 2/3 + 3/2 = 3/4 + 4/3 =
  • Fractions Made Faster
    problem

    Fractions Made Faster

    Age
    7 to 11
    Challenge level
    Use the fraction wall to compare the size of these fractions - you'll be amazed how it helps!
  • Reductant ratios
    problem

    Reductant Ratios

    Age
    16 to 18
    Challenge level
    What does the empirical formula of this mixture of iron oxides tell you about its consituents?
  • Special Sums and Products
    problem

    Special Sums and Products

    Age
    11 to 14
    Challenge level
    Find some examples of pairs of numbers such that their sum is a factor of their product. eg. 4 + 12 = 16 and 4 × 12 = 48 and 16 is a factor of 48.
Displaying 51 - 60 of 124