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

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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Friday Puzzle (02/03/2018)

Find the positive integer, x, that satisfies the equation

√3  +  √12  +  √27  =  √x

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Friday Puzzle (23/02/2018)

The five equally sized rectangles are placed inside a square as shown.

Rectangles in Square

The square has a side length of 24 cm.

What is the area of one rectangle?

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Friday Puzzle (16/02/2018)

The three rectangles below all have the same area.


What is the value of x + y?

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Friday Puzzle (09/02/2018)

The largest of four different real numbers is x.

When the numbers are summed in pairs, the four largest sums are 13, 12, 10 and 9.

What are the possible values of x?

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Friday Puzzle (02/02/2018)

The areas of three of the faces of a cuboid are 24 cm2, 18 cm2 and 12 cm2.

What is the volume of the cuboid?

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Friday Puzzle (26/01/2018)

A square lies on a circle such that one edge passes through its centre, and two vertices lie on the circumference, as shown.

circle and square

The circle has a radius of 1 cm.

What is the area of the square?

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Friday Puzzle (19/01/2018)

A record is shaded as shown. It has no hole!

The radius of the label (white) is a third the radius of the record.

What is the ratio of the black shaded area to the area of the label (white area)?

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Friday Puzzle (12/01/2018)

In the sequence which begins 2, 3, 5, 10, … each number after the second is the sum of all the previous numbers in the sequence. What is the 10th number in the sequence?

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