Being resilient

  • problem

    Cycling squares

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

    Can you make a cycle of pairs that add to make a square number using all the numbers in the box below, once and once only?

  • Finding Fifteen
    problem

    Finding fifteen

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

    Tim had nine cards each with a different number from 1 to 9 on it. How could he have put them into three piles so that the total in each pile was 15?

  • More Transformations on a Pegboard
    problem

    More transformations on a pegboard

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

    Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.

  • problem

    Factor-multiple chains

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

    Can you see how these factor-multiple chains work? Find the chain which contains the smallest possible numbers. How about the largest possible numbers?

  • Route Product
    problem

    Route product

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

    Find the product of the numbers on the routes from A to B. Which route has the smallest product? Which the largest?

  • Four Go
    problem

    Four go

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

    This challenge is a game for two players. Choose two of the numbers to multiply or divide, then mark your answer on the number line. Can you get four in a row?

  • problem

    This Pied Piper of Hamelin

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

    Investigate the different numbers of people and rats there could have been if you know how many legs there are altogether!

  • Factor track
    problem

    Factor track

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

    Factor track is not a race but a game of skill. The idea is to go round the track in as few moves as possible, keeping to the rules.

  • problem

    How much did it cost?

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

    Use your logical thinking skills to deduce how much Dan's crisps and ice cream cost altogether.

  • Through the Window
    problem

    Through the window

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

    My local DIY shop calculates the price of its windows according to the area of glass and the length of frame used. Can you work out how they arrived at these prices?