Working systematically

  • Small pepper seedlings in turquoise pots.
    problem

    Facial Sums

    Age
    14 to 16
    Challenge level
    2 out of 3

    Can you make the numbers around each face of this solid add up to the same total?

  • No Square Sums
    problem

    No Square Sums

    Age
    14 to 16
    Challenge level
    2 out of 3

    How many numbers do you need to remove to avoid making a perfect square?

  • Small tomato seedlings in pink pots.
    problem

    Alberta's Age

    Age
    14 to 16
    Challenge level
    2 out of 3

    Alberta won't reveal her age. Can you work it out from these clues?

  • 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 tomato seedlings in pink pots.
    problem

    Relative Time

    Age
    14 to 16
    Challenge level
    2 out of 3

    Albert Einstein is experimenting with two unusual clocks. At what time do they next agree?

  • Alphabetical Angle
    problem

    Alphabetical Angle

    Age
    14 to 16
    Challenge level
    2 out of 3

    If all the arrangements of the letters in the word ANGLE are written down in alphabetical order, what position does the word ANGLE occupy?

  • Small tomato seedlings in yellow pots.
    problem

    Switch On

    Age
    14 to 16
    Challenge level
    2 out of 3

    In how many different ways can a row of five "on/off" switches be set so that no two adjacent switches are in the "off" position?

  • Gridlines
    problem

    Gridlines

    Age
    14 to 16
    Challenge level
    2 out of 3

    How many triples of points are there in this 4×4 array that lie on a straight line?

  • Scratch Cards
    problem

    Scratch Cards

    Age
    14 to 16
    Challenge level
    3 out of 3

    To win on a scratch card you have to uncover three numbers that add up to more than fifteen. What is the probability of winning a prize?

  • Small tomato seedlings in yellow pots.
    problem

    Different Digital Clock

    Age
    14 to 16
    Challenge level
    3 out of 3

    At how many times between 10 and 11 o'clock are all six digits on a digital clock different?