Comparing and ordering numbers

  • Making Pathways
    problem

    Making Pathways

    Age
    7 to 11
    Challenge level
    filled star empty star empty star
    Can you find different ways of creating paths using these paving slabs?
  • One to Fifteen
    problem

    One to Fifteen

    Age
    7 to 11
    Challenge level
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    Can you put the numbers from 1 to 15 on the circles so that no consecutive numbers lie anywhere along a continuous straight line?
  • Sort them out (2)
    problem

    Sort Them Out (2)

    Age
    7 to 11
    Challenge level
    filled star empty star empty star
    Can you each work out the number on your card? What do you notice? How could you sort the cards?
  • 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?