Exploring and noticing

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...
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?
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 ?
problem

Electric Kettle

Age

14 to 16

Challenge level

1 out of 3

Explore the relationship between resistance and temperature
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?
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?
problem

Making Tracks

Age

14 to 16

Challenge level

2 out of 3

A bicycle passes along a path and leaves some tracks. Is it possible to say which track was made by the front wheel and which by the back wheel?
problem

Newspaper Sheets

Age

14 to 16

Challenge level

2 out of 3

From only the page numbers on one sheet of newspaper, can you work out how many sheets there are altogether?
problem

Collatz-Ish

Age

14 to 16

Challenge level

2 out of 3

A sequence is generated using these rules. For which values of n is the nth term equal to n?
problem

Back in Time

Age

14 to 16

Challenge level

2 out of 3

How many times a day does a 24 hour digital clock look the same when reflected in a horizontal line?