Visualising and representing

  • Small pepper seedlings in turquoise pots.
    problem

    Integral Polygons

    Age
    11 to 14
    Challenge level

    Each interior angle of a particular polygon is an obtuse angle which is a whole number of degrees. What is the greatest number of sides the polygon could have?

  • Small pepper seedlings in turquoise pots.
    problem

    Turning N Over

    Age
    11 to 14
    Challenge level

    A card with the letter N on it is rotated through two different axes. What does the card look like at the end?

  • Small pepper seedlings in turquoise pots.
    problem

    Blockupied

    Age
    11 to 14
    Challenge level

    A 1×2×3 block is placed on an 8×8 board and rolled several times.... How many squares has it occupied altogether?

  • Small pepper seedlings in orange pots.
    problem

    Night Watchmen

    Age
    11 to 14
    Challenge level

    Grannie's watch gains 30 minutes every hour, whilst Grandpa's watch loses 30 minutes every hour. What is the correct time when their watches next agree?

  • Small pepper seedlings in turquoise pots.
    problem

    Semaphore

    Age
    11 to 14
    Challenge level

    I am standing behind five pupils who are signalling a five-digit number to someone on the opposite side of the playground. What number is actually being signalled?

  • Don't Be Late
    problem

    Don't Be Late

    Age
    11 to 14
    Challenge level

    Mary is driving to Birmingham Airport. Using her average speed for the entire journey, find how long her journey took.

  • Small tomato seedlings in pink pots.
    problem

    Adjacent Factors

    Age
    11 to 14
    Challenge level

    Two numbers can be placed adjacent if one of them divides the other. Using only $1,...,10$, can you write the longest such list?

  • Small pepper seedlings in turquoise pots.
    problem

    Reading From Behind

    Age
    11 to 14
    Challenge level

    Can you find the time between 3 o'clock and 10 o'clock when my digital clock looks the same from both the front and back?

  • Small pepper seedlings in orange pots.
    problem

    Fifty Coins

    Age
    11 to 14
    Challenge level

    Cheryl finds a bag of coins. Can you work out how many more 5p coins than 2p coins are in the bag?

  • Small pepper seedlings in turquoise pots.
    problem

    Reflected Back

    Age
    11 to 14
    Challenge level

    Imagine reflecting the letter P in all three sides of a triangle in turn. What is the final result?

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