Comparing and ordering numbers

  • In Order
    problem

    In Order

    Age
    7 to 11
    Challenge level
    filled star empty star empty star
    Can you rank these quantities in order? You may need to find out extra information or perform some experiments to justify your rankings.
  • True or False?
    problem

    True or False?

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

    Without doing lots of calculations, can you decide which of these number sentences are true? How do you know?

  • Ordering Journeys
    problem

    Ordering Journeys

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

    How would you put these journey lengths in order?

  • A cartoon worm.
    problem

    Worms

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

    Place this "worm" on the 100 square and find the total of the four squares it covers. Keeping its head in the same place, what other totals can you make?

  • The Magic Number and the Hepta-Tree
    problem

    The Magic Number and the Hepta-Tree

    Age
    7 to 11
    Challenge level
    filled star filled star empty star
    Find the exact difference between the largest ball and the smallest ball on the Hepta Tree and then use this to work out the MAGIC NUMBER!
  • A Numbered Route
    problem

    A Numbered Route

    Age
    7 to 11
    Challenge level
    filled star filled star empty star
    Can you draw a continuous line through 16 numbers on this grid so that the total of the numbers you pass through is as high as possible?
  • Sets of Four Numbers
    problem

    Sets of Four Numbers

    Age
    7 to 11
    Challenge level
    filled star filled star empty star
    There are ten children in Becky's group. Can you find a set of numbers for each of them? Are there any other sets?
  • Truth or Lie
    problem

    Truth or Lie

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

    Take a look at the video of this trick. Can you perform it yourself? Why is this maths and not magic?

  • Rod Fractions
    problem

    Rod Fractions

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

    Pick two rods of different colours. Given an unlimited supply of rods of each of the two colours, how can we work out what fraction the shorter rod is of the longer one?