# Resources tagged with: Counting

### There are 11 results

Broad Topics >

The Number System and Place Value > Counting

##### Age 16 to 18 Challenge Level:

The interval 0 - 1 is marked into halves, quarters, eighths ...
etc. Vertical lines are drawn at these points, heights depending on
positions. What happens as this process goes on indefinitely?

##### Age 14 to 18

An introduction to the binomial coefficient, and exploration of some of the formulae it satisfies.

##### Age 14 to 18

Some puzzles requiring no knowledge of knot theory, just a careful inspection of the patterns. A glimpse of the classification of knots, prime knots, crossing numbers and knot arithmetic.

##### Age 5 to 16

Nowadays the calculator is very familiar to many of us. What did
people do to save time working out more difficult problems before
the calculator existed?

##### Age 14 to 16 Challenge Level:

Draw a 'doodle' - a closed intersecting curve drawn without taking pencil from paper. What can you prove about the intersections?

##### Age 14 to 16 Challenge Level:

How many different ways can you arrange the officers in a square?

##### Age 7 to 16 Challenge Level:

A game for two people, who take turns to move the counters. The player to remove the last counter from the board wins.

##### Age 7 to 16 Challenge Level:

Solve this Sudoku puzzle whose clues are in the form of sums of the
numbers which should appear in diagonal opposite cells.

##### Age 14 to 16 Challenge Level:

A new card game for two players.

##### Age 14 to 18 Challenge Level:

Some relationships are transitive, such as `if A>B and B>C
then it follows that A>C', but some are not. In a voting system,
if A beats B and B beats C should we expect A to beat C?

##### Age 14 to 16 Challenge Level:

Follow-up to the February Game Rules of FEMTO.