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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Tim and Pete are exercising. Tim runs around the perimeter of the pool shown in the diagram, whilst Pete swims lengths of the pool.
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?
What percentage of 1/4 is 1/5 ?
Make 3125 by using only the digits 3, 1, 2 and 5.
You can use any mathematical symbols and operations.
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?
a = 1, b = 2, c = 3,........, z = 26
(n - a)(n - b)(n - c) .... (n - z).
Students and spiders:
10 heads and 56 legs.
How many students?
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?
Five squares are drawn on the sides of a pentagon as shown.
What is the sum of the five angles marked in red?
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?