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Blog posts of '2019' 'July'

2019 NSW: Maths Puzzle 3

3rd puzzle by Dr Harry Wiggins (Complete the grid)

Fill in each space of the grid with one of the numbers 1, 2, . . . , 30, using each number once. For 1 ≤ n ≤ 29, the two spaces containing n and n + 1 must be in either the same row or the same column. Some numbers have been given to you. What will...

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2019 NSW: Maths Puzzle 2

2nd puzzle by Dr Harry Wiggins (Helping Hercules)

Hydra is a serpentine water monster that lives in the lake of Lerna. It is Hercules's task to kill this monster (the second task of his Twelve Labors).  The Hydra possesses 100 heads and can only be killed by cutting of ALL his heads. It is know tha...

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2019 NSW: Maths Puzzle 1

1st puzzle by Dr Harry Wiggins (Avoiding 2019)

Thabo writes down all the positive integers in order but he always avoids writing down the digits 2, 0, 1 and 9.  So Thabo writes down 3, 4, 5, 6, 7, 8, 33, 34, 35, etcetera. Thus the 7th number he writes down is 33. What is the 2019th number that Thab...

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