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Resources tagged with Counting similar to Binary Sequences:

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Broad Topics > Numbers and the Number System > Counting

Binary Sequences

Stage: 5 Challenge Level:

Show that the infinite set of finite (or terminating) binary sequences can be written as an ordered list whereas the infinite set of all infinite binary sequences cannot.

Doodles

Stage: 4 Challenge Level:

A 'doodle' is a closed intersecting curve drawn without taking pencil from paper. Only two lines cross at each intersection or vertex (never 3), that is the vertex points must be 'double points' not. . . .

Stage: 1, 2, 3 and 4

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?

Stage: 4 Challenge Level:

Follow-up to the February Game Rules of FEMTO.

Slippery Snail

Stage: 2, 3 and 4 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.

Ruler

Stage: 5 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?

Euler's Officers

Stage: 4 Challenge Level:

How many different solutions can you find to this problem? Arrange 25 officers, each having one of five different ranks a, b, c, d and e, and belonging to one of five different regiments p, q, r, s. . . .

Diagonal Sums Sudoku

Stage: 2, 3 and 4 Challenge Level:

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

FEMTO

Stage: 4 Challenge Level:

A new card game for two players.