Being collaborative

  • Quadratic Patterns
    problem

    Quadratic patterns

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

    Surprising numerical patterns can be explained using algebra and diagrams...

  • Box plot match
    problem

    Box plot match

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

    Match the cumulative frequency curves with their corresponding box plots.

  • Three cubes
    problem

    Three cubes

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

    Can you work out the dimensions of the three cubes?

  • Why 24?
    problem

    Why 24?

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

    Take any prime number greater than 3 , square it and subtract one. Working on the building blocks will help you to explain what is special about your results.

  • CD Heaven
    problem

    CD Heaven

    Age
    14 to 16
    Challenge level
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    All CD Heaven stores were given the same number of a popular CD to sell for £24. In their two week sale each store reduces the price of the CD by 25% ... How many CDs did the store sell at each price?

  • In a box
    problem

    In a box

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

    Chris and Jo put two red and four blue ribbons in a box. They each pick a ribbon from the box without looking. Jo wins if the two ribbons are the same colour. Is the game fair?

  • Painted Cube
    problem

    Painted cube

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

    Imagine a large cube made from small red cubes being dropped into a pot of yellow paint. How many of the small cubes will have yellow paint on their faces?

  • Areas of parallelograms
    problem

    Areas of parallelograms

    Age
    14 to 16
    Challenge level
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    Can you find the area of a parallelogram defined by two vectors?

  • Nicely Similar
    problem

    Nicely similar

    Age
    14 to 16
    Challenge level
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    If the hypotenuse (base) length is 100cm and if an extra line splits the base into 36cm and 64cm parts, what were the side lengths for the original right-angled triangle?

  • Surprising Transformations
    problem

    Surprising transformations

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

    I took the graph y=4x+7 and performed four transformations. Can you find the order in which I could have carried out the transformations?