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!

See the latest Friday Puzzle below and look at all the past puzzles. Get the Friday Puzzle straight to your phone, follow us on Twitter. The first 5 correct answers join our Hall of Fame!

This week's Friday Puzzle

The three circles have the same centre.


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?


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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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Friday Puzzle (16/11/2018)

Use the digits contained in 4096, to make 4096.
Each digit can be used only once and any
mathematical symbols and operations can be used.

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Friday Puzzle (09/11/2018)

A triangle sits perfectly on top of a square.

triangle and square

The triangle and square have the same perimeter.

What is the ratio of the perimeter of the irregular pentagon

(formed by the square and triangle) to the perimeter of the square?

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Friday Puzzle (02/11/2018)

My new TV screen has sides in the ratio of 16:9.

My old TV screen had sides in the ratio of 4:3.

tv screens

A picture that fills my new TV fills the width of my old TV, but not the height.

What fraction of my old TV’s screen is not covered?

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Friday Puzzle (26/10/2018)

I invent the new dartboard shown.


I throw two darts at it and both hit the target.

I score the number of points shown in each region.

How many different totals can I score?

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