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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Suppose that e, i, n and t represent different positive whole numbers,
n + i + n + e = 9, t + e + n = 10 and i = 1.
What is t?
The area of a rectangle is 120 cm2, the perimeter of the rectangle is 46 cm.
What is the length of the diagonal of the rectangle?
What is mid-way between 1/15 and 1/3?
I throw a spherical ball and it lands in the snow.
When the ball is removed, the depth of the hole at the centre is 2 cm deep and the diameter of the hole is 12 cm.
What is the radius of the ball ?
Two numbers have a difference of 21. One number is 21% greater than the other. What are the two numbers?
Find the values of a, b, c, and d.
2a + 3b = 28,
8c + 6d = 40.
A biography of Queen Elizabeth II is published at five year intervals. The sum of the publication years is 10030.
When was the first volume published?
The difference between 13 and 7 is exactly one-twentieth of the difference between their squares:
13 − 7 = 6
132 − 72 = 120.
What other pairs of positive, whole numbers can you find whose difference is exactly one-twentieth of the difference of their squares?
Anne and Billy race over 100 m and Anne wins by 10 m.
They always run at the same rate.
In the next race the teacher starts Anne 11 m behind the start line.
Who will win and by what distance?
A cuboid fish tank is tilted so the water is reaching the top edge and the midpoint of the base as shown.
What is the depth of the water in the tank when the tank is returned to a horizontal position?