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

Tim and Pete are exercising. Tim runs around the perimeter of the pool shown in the diagram, whilst Pete swims lengths of the pool.

swimmingpool

Tim runs three times as fast as Pete swims. Pete swims six lengths of the pool in the same time Tim runs around the pool five times.

What is the width of the pool?

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Friday Puzzle (11/05/2018)

What percentage of 1/4 is 1/5 ?

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Friday Puzzle (04/05/2018)

Make 3125 by using only the digits 3, 1, 2 and 5.

You can use any mathematical symbols and operations.

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Friday Puzzle (27/04/2018)

Let         x = y                      - y both sides

         x - y = 0           A        ×2 both sides

     2x - 2y = 0           B        Equate A and B

     x - y =  2x - 2y          Factorise

      1(x - y) =  2(x - y)        Divide by (x - y)         

          1 =  2                 

Where is the mistake?

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Friday Puzzle (20/04/2018)

If

a = 1, b = 2, c = 3,........, z = 26

evaluate

(n - a)(n - b)(n - c) .... (n - z).

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Friday Puzzle (13/04/2018)

Students and spiders:

10 heads and 56 legs.

How many students?

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Friday Puzzle (06/04/2018)

I have a 2-digit number. If the order of the digits is changed, it makes a new number, which is one less than half of my number.


What is my number?

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Friday Puzzle (23/03/2018)

Five squares are drawn on the sides of a pentagon as shown.

pentagon and square

What is the sum of the five angles marked in red?

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Friday Puzzle (16/03/2018)

Lynne: “Jane is innocent” 
George: “Tim is guilty” 
Jane: “George is guilty” 
Tim: “Lynne is innocent” 
Only the guilty person is lying; all the others are telling the truth.

Who is guilty?

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Friday Puzzle (09/03/2018)

The difference between 1/4 of a certain number and 1/5 of the same number is 3.

What is that number?

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