Being resilient

  • Inside Triangles
    problem

    Inside triangles

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

    How many different triangles can you draw which each have one dot in the middle?

  • 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?

  • 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?

  • 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?

  • Factors and Multiples Puzzle
    problem

    Factors and multiples puzzle

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

    Using your knowledge of the properties of numbers, can you fill all the squares on the board?

  • Substitution Cipher
    problem

    Substitution cipher

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

    Find the frequency distribution for ordinary English, and use it to help you crack the code.

  • Brush Loads
    problem

    Brush loads

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

    How can you arrange the 5 cubes so that you need the smallest number of Brush Loads of paint to cover them? Try with other numbers of cubes as well.

  • Product Sudoku
    problem

    Product Sudoku

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

    The clues for this Sudoku are the product of the numbers in adjacent squares.

  • 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.

  • Triangle Animals
    problem

    Triangle animals

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

    How many different ways can you find to join three equilateral triangles together? Can you convince us that you have found them all?