Being resourceful

  • To log or not to log?
    problem

    To Log or Not to Log?

    Age
    16 to 18
    Challenge level
    1 out of 3

    Which of these logarithmic challenges can you solve?

  • Overturning fracsum
    problem

    Overturning Fracsum

    Age
    16 to 18
    Challenge level
    1 out of 3

    Can you solve the system of equations to find the values of x, y and z?

  • Degree Ceremony
    problem

    Degree Ceremony

    Age
    16 to 18
    Challenge level
    1 out of 3

    Can you find the sum of the squared sine values?

  • Napoleon's Hat
    problem

    Napoleon's Hat

    Age
    16 to 18
    Challenge level
    1 out of 3

    Three equilateral triangles ABC, AYX and XZB are drawn with the point X a moveable point on AB. The points P, Q and R are the centres of the three triangles. What can you say about triangle PQR?

  • Calculus Countdown
    problem

    Calculus Countdown

    Age
    16 to 18
    Challenge level
    1 out of 3

    Can you hit the target functions using a set of input functions and a little calculus and algebra?

  • Thinking Mathematically - Short Problems
    problem

    Solve Me!

    Age
    16 to 18
    Challenge level
    1 out of 3

    Can you use numerical methods to solve this equation to 1 decimal place?

  • Agile Algebra
    problem

    Agile Algebra

    Age
    16 to 18
    Challenge level
    1 out of 3

    Observe symmetries and engage the power of substitution to solve complicated equations.

  • Thinking Mathematically - Short Problems
    problem

    AP Train

    Age
    16 to 18
    Challenge level
    1 out of 3

    An arithmetic progression is shifted and shortened, but its sum remains the same...

  • Placeholder: several colourful numbers
    problem

    Speedo

    Age
    16 to 18
    Challenge level
    1 out of 3

    Investigate the relationship between speeds recorded and the distance travelled in this kinematic scenario.

  • A Very Shiny Nose?
    problem

    A Very Shiny Nose?

    Age
    16 to 18
    Challenge level
    2 out of 3

    This problem explores the biology behind Rudolph's glowing red nose, and introduces the real life phenomena of bacterial quorum sensing.