Exploring and noticing

  • Small tomato seedlings in yellow pots.
    problem

    Almost Constant Digits

    Age
    11 to 14
    Challenge level
    3 out of 3

    How many 10-digit numbers containing only 1s, 2s and 3s can you write?

  • problem

    Investigating Epidemics

    Age
    11 to 16
    Challenge level
    1 out of 3

    Simple models which help us to investigate how epidemics grow and die out.

  • Who's who?
    problem

    Who's Who?

    Age
    11 to 16
    Challenge level
    2 out of 3

    Can you solve the clues to find out who's who on the friendship graph?

  • Do Rare Events Happen?
    problem

    Do Rare Events Happen?

    Age
    11 to 16
    Challenge level
    2 out of 3

    I'd be very surprised if I had three children all with the same birthday, but I read in the paper that it happened to one family...

  • Sums of Pairs
    problem

    Sums of Pairs

    Age
    11 to 16
    Challenge level
    2 out of 3

    Jo has three numbers which she adds together in pairs. When she does this she has three different totals: 11, 17 and 22 What are the three numbers Jo had to start with?”

  • Subtended angles
    problem

    Circumference Angles

    Age
    11 to 16
    Challenge level
    2 out of 3

    Can you prove the angle properties described by some of the circle theorems?

  • Last Biscuit
    game

    Last Biscuit

    Age
    11 to 18
    Challenge level
    2 out of 3

    Can you find a strategy that ensures you get to take the last biscuit in this game?

  • The perforated cube
    problem

    The Perforated Cube

    Age
    14 to 16
    Challenge level
    1 out of 3

    A cube is made from smaller cubes, 5 by 5 by 5, then some of those cubes are removed. Can you make the specified shapes, and what is the most and least number of cubes required ?

  • Electric Kettle
    problem

    Electric Kettle

    Age
    14 to 16
    Challenge level
    1 out of 3

    Explore the relationship between resistance and temperature

  • Small pepper seedlings in orange pots.
    problem

    12345

    Age
    14 to 16
    Challenge level
    2 out of 3

    Repeat a pattern of numbers to form a larger number. Can you find the sum of all the digits?