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

Jean writes four consecutive positive integers.

She then calculates the four possible totals made by taking three of the integers at a time.

None of these totals is a prime number.

What is the smallest possible integer Jean could have written?

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Friday Puzzle (15/06/2018)

Beth has a thin sheet of paper measuring 40 cm by 30 cm.

She repeatedly folds her paper in half by folding along the shorter line of symmetry.

She finishes when she has a rectangle with area 75 cm2.

What is the perimeter of her final rectangle?

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Friday Puzzle (08/06/2018)

In the 10ticks office the each month consists of 50 days, numbered 1 to 50.

Any day whose number is divisible by 6 is a holiday, and any day whose number is a prime is a holiday.

How many times in a month does a single working day occur between two holidays?

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Friday Puzzle (01/06/2018)

Four identical standard dice are used to build this block of dice.

dice block

Where two dice touch, the numbers on the touching faces are the same.

What number should be on the red face?

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Friday Puzzle (25/05/2018)

A magic square has all rows, columns and both main diagonals with the same total.

This magic square has been partially completed.

What is the value of x + y?

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Friday Puzzle (18/05/2018)

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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