September Mindbenders

Mutual Contact

How can you arrange five coins so that each one touches all of the others?  (Don’t worry if you can’t get the arrangement to stay up!)

Answer

Now try and arrange seven pencils so that each touches all of the others.

Answer

Continue the Sequences

  1. 2, 4, 8, 16, 112, 448, ?
  2. 78, 165, 726, 1353, ?
  3. 50, 52, 55, 58, 61, 64, 67, 71, 75, 79, 83, ?
  4. 1, 2, 5, 12, 29, 70, ?
  5. 5, 8, 12, 18, 24, 30, ?

Answers

Sudoku

Fill the grid with the numbers from 1 to 9, such that each number appears exactly once in each row, each column and each of the nine 3×3 blocks.

8 3
9 6 4
5 1
 
3 1 2 7
7 5
2 4 3 1
 
6 5
5 1 9
4 8

Answer

6 9 1
1 6 7
2 9
 
6 1 2
7 5 6
5 3 9
 
9 8
3 2 1
8 1 7

Answer

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