Working systematically

  • Uncanny triangles
    problem

    Uncanny triangles

    Age
    7 to 11
    Challenge level
    filled star filled star filled star
    Can you help the children find the two triangles which have the lengths of two sides numerically equal to their areas?
  • Chocoholics
    problem

    Chocoholics

    Age
    7 to 11
    Challenge level
    filled star filled star empty star
    George and Jim want to buy a chocolate bar. George needs 2p more and Jim need 50p more to buy it. How much is the chocolate bar?
  • Satnav Dilemma
    problem

    Satnav dilemma

    Age
    11 to 14
    Challenge level
    filled star empty star empty star
    How many routes are there in this diagram from S to T?
  • problem

    Robot monsters

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

    Use these head, body and leg pieces to make Robot Monsters which are different heights.

  • Polo Square
    problem

    Polo square

    Age
    7 to 11
    Challenge level
    filled star empty star empty star
    Arrange eight of the numbers between 1 and 9 in the Polo Square below so that each side adds to the same total.
  • On the Edge
    problem

    On the edge

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

    If you move the tiles around, can you make squares with different coloured edges?

  • Square split into a triangle and trapezium
    problem

    Tangram tangle

    Age
    5 to 7
    Challenge level
    filled star filled star filled star

    If you split the square into these two pieces, it is possible to fit the pieces together again to make a new shape. How many new shapes can you make?

  • Cuboids
    problem

    Cuboids

    Age
    11 to 14
    Challenge level
    filled star filled star filled star

    Can you find a cuboid that has a surface area of exactly 100 square units. Is there more than one? Can you find them all?

  • Ben's Game
    problem

    Ben's game

    Age
    11 to 16
    Challenge level
    filled star filled star filled star

    Ben, Jack and Emma passed counters to each other and ended with the same number of counters. How many did they start with?

  • Lots of Lollies
    problem

    Lots of lollies

    Age
    5 to 7
    Challenge level
    filled star filled star filled star

    Frances and Rishi were given a bag of lollies. They shared them out evenly and had one left over. How many lollies could there have been in the bag?