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Resources tagged with Counting similar to Groups of Sets:

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Challenge level: Challenge Level:1 Challenge Level:2 Challenge Level:3

There are 11 results

Broad Topics > Numbers and the Number System > Counting

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Adding with the Abacus

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?

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Slippery Snail

Stage: 3 and 4 Challenge Level: Challenge Level:2 Challenge Level:2

A game for 2 people. Take turns to move the counters 1, 2 or 3 spaces. The player to remove the last counter off the board wins.

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Binary Sequences

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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.

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FEMTO: Follow Up

Stage: 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Follow-up to the February Game Rules of FEMTO.

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Doodles

Stage: 4 Challenge Level: Challenge Level:1

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. . . .

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Links and Knots

Stage: 4 and 5

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.

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Euler's Officers

Stage: 4 Challenge Level: Challenge Level:1

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. . . .

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Diagonal Sums Sudoku

Stage: 2, 3 and 4 Challenge Level: Challenge Level:1

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

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FEMTO

Stage: 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

A new card game for two players.

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Ruler

Stage: 5 Challenge Level: Challenge Level:1

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?

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Voting Paradox

Stage: 4 and 5 Challenge Level: Challenge Level:2 Challenge Level:2

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?