10ticks Friday Puzzle

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

A pentagon is made by constructing a right-angled isosceles triangle on top of a square, with sides 2 cm.

Pentagon made from square and triangle

Find the area of the pentagon.

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Winners: @TonyIMoore @McDONewt @DavidAult @dave2deuel None

Friday Puzzle (17/07/2020)

Draw a quadrilateral so that each angles, measured in degrees, is a square number.

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Winners: @McDONewt @DavidAult @TonyIMoore @joefawcett @dave2deuel

Friday Puzzle (10/07/2020)

The two squares have lengths 2 cm and 3 cm.

They overlap as shown.

Two Squares

What is the difference between the areas of the two yellow parts of each square?

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Winners: @TonyIMoore @McDONewt @warnerbs @astrotour2010 @joefawcett

Friday Puzzle (03/07/2020)

I have 2 circular, concentric train tracks.

The inside train track has a radius of 3 m.

The outside train track has a radius of 4 m.

They both start at the same time at the Northerly position on their tracks, travelling anticlockwise and at the same speed.

What is the relative position of the two trains when the inner train has completed 13 laps?

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Winners: @astrotour2010 @warnerbs @andrewwr235 @lme3guaz @ros_clarke

Friday Puzzle (26/06/2020)

I have 4 digits.

I am a perfect square.

I have rotational symmetry so look the same upside down.

My square root is prime.

What number am I?

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Winners: @astrotour2010 @hhenshaw None None None

Friday Puzzle (19/06/2020)

I have 1000 apples and 10 empty boxes.

I want to put the apples in the boxes so I can sell any amount and just hand over the pre-packed boxes.

How many apples should I put in each box?

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Winners: @astrotour2010 None None None None

Friday Puzzle (12/06/2020)

Paul keeps pigs and chickens.

Between them, his animals have 22 heads and 58 legs.

How many pigs and chickens does Paul have?

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Winners: @Christophinoff @McDONewt @astrotour2010 @dave2deuel None

Friday Puzzle (05/06/2020)

Use factorials to simplify

1 ¹/₂ × 2 ²/₃ × 3 ³/₄ × 4 ⁴/₅ × … × 19 ¹⁹/₂₀ × 20 ²⁰/₂₁

Give an answer in the form a × 20!

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Winners: None None None None None

Friday Puzzle (29/05/2020)

A fork handle and a candle cost £7.25.

A fork handle costs £4.95 more than a candle.

What is the cost of three fork handles and four candles?

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Winners: @McDONewt @Christophinoff @dave2deuel None None

Friday Puzzle (22/05/2020)

It is 10 minutes past ten.

On an analogue clock, what is the smaller angle between the hour hand and minute hand?

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Winners: @ros_clarke @McDONewt @astrotour2010 None None

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