Explaining, convincing and proving

  • Small pepper seedlings in orange pots.
    problem

    Day of the Triffids

    Age
    14 to 16
    Challenge level
    2 out of 3

    Jasmine buys three different types of plant. How many triffids did she buy?

  • Folding Fractions
    problem

    Folding Fractions

    Age
    14 to 16
    Challenge level
    2 out of 3

    What fractions can you divide the diagonal of a square into by simple folding?

  • L-triominoes
    problem

    L-Triominoes

    Age
    14 to 16
    Challenge level
    2 out of 3

    L triominoes can fit together to make larger versions of themselves. Is every size possible to make in this way?

  • Small tomato seedlings in yellow pots.
    problem

    Takeaway Time

    Age
    14 to 16
    Challenge level
    2 out of 3

    Pizza, Indian or Chinese takeaway? If everyone liked at least one, how many only liked Indian?

  • The Fastest Cyclist
    problem

    The Fastest Cyclist

    Age
    14 to 16
    Challenge level
    2 out of 3

    Andy is desperate to reach John o'Groats first. Can you devise a winning race plan?

  • Small pepper seedlings in turquoise pots.
    problem

    Spot the Fake

    Age
    14 to 16
    Challenge level
    2 out of 3

    One of N coins is slightly heavier than the others. How large can N be if the coin can be determined with only two weighings with a set of scales?

  • Towering Trapeziums
    problem

    Towering Trapeziums

    Age
    14 to 16
    Challenge level
    2 out of 3

    Can you find the areas of the trapezia in this sequence?

  • Small pepper seedlings in orange pots.
    problem

    Trolley Park

    Age
    14 to 16
    Challenge level
    2 out of 3

    In a supermarket, there are two lines of tightly packed trolleys. What is the length of one trolley?

  • Small pepper seedlings in turquoise pots.
    problem

    Shaded Square

    Age
    14 to 16
    Challenge level
    2 out of 3

    Weekly Problem 41 - 2016
    The diagram shows a square, with lines drawn from its centre. What is the shaded area?

  • Small tomato seedlings in pink pots.
    problem

    Long List

    Age
    14 to 16
    Challenge level
    2 out of 3

    Weekly Problem 47 - 2017
    How many numbers do I need in a list to have two squares, two primes and two cubes?