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!
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?
The difference between 1/4 of a certain number and 1/5 of the same number is 3.
What is that number?
Find the positive integer, x, that satisfies the equation
√3 + √12 + √27 = √x
The five equally sized rectangles are placed inside a square as shown.
The square has a side length of 24 cm.
What is the area of one rectangle?
The three rectangles below all have the same area.
What is the value of x + y?
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?
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?
A square lies on a circle such that one edge passes through its centre, and two vertices lie on the circumference, as shown.
The circle has a radius of 1 cm.
What is the area of the square?
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)?
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?