10ticks Friday Puzzle

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Welcome to Ian’s Friday Puzzle! Dust off those Friday cobwebs with a little manipulation of the old grey matter. Perplexing puzzles, logical, illogical, and sometimes just plain stupid. Be prepared to be bewildered, befuddled and bedazzled!

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This week's Friday Puzzle

I have a four digit number with no zeros.

The second digit is four more than the first and three times the third digit.

The third digit is two more than the last and two less than the first digit.

The first digit is five times the last digit.

What number do I have?

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Friday Puzzle (08/02/2019)

Tessa the teacher has three cards with different numbers on them.

She says, ‘The numbers on the three cards add to a square number’.

She peeks at two of the three cards and says, ‘these two numbers add to a square number’.

She peeks at two different cards of the three and says, ‘these two numbers also add to a square number’.

She peeks at two different cards of the three and says, ‘These two numbers don''t add to a square! It''s either 5 too little or 6 too big!"

What are the three numbers on the cards?

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Friday Puzzle (01/02/2019)

Move two matchsticks to make six squares.

matchsticks

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Friday Puzzle (25/01/2019)

Continue the pattern.

number pattern

What number will lie directly below 400?

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Friday Puzzle (18/01/2019)

The three circles have the same centre.

concentriccircles

They have radii 3 cm, 4 cm and 5 cm.

What percentage of the largest circle is shaded?

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Friday Puzzle (11/01/2019)

A square piece of card has perimeter 24 cm.

Lynne cuts the card into two rectangles.

The perimeter of one of the rectangles is 16 cm.

What is the perimeter of the other rectangle?

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Friday Puzzle (14/12/2018)

All 40 elves are in Santa’s workshop holding a toy. The elves are all of different heights.

Santa asks the elves to swap the toys. However, nobody is allowed to swap toys

with anyone that is shorter than them self.

How many toys are swapped?      

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Friday Puzzle (07/12/2018)

How many hexagons are in the diagram?

hexagons

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Friday Puzzle (30/11/2018)

Three congruent squares overlap as shown.

overlapping squares

The areas of the three overlapping sections are 3 cm2, 9 cm2 and 14 cm2 respectively.

The total area of the non-overlapping parts of the squares is 140 cm2.

What is the side-length of each square?

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Friday Puzzle (23/11/2018)

Each of the touching semicircles has a radius of 2 cm.

five semicircles

What is the length of the perimeter of the green area in terms of π?

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