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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With one straight cut you can slice a pie into two pieces.
A second cut will produce four pieces of pie and a third cut can produce up to seven pieces of pie.
What is the largest number of pieces of pie that you can get with six straight cuts?
A spider is at the vertex X on a cube of side length 12 cm. It strolls along the marked path to vertex Y.
How far has the spider strolled?
A goldfish costs £1.40 and a swordtail fish costs £1.80.
Chris spent exactly £20 for some of these fish.
How many of each did he buy?
At which whole hour times are the angles between the minute hand and the hour hand 120 degrees?
Different shapes represent different digits.
What digit does each shape represent?
The large triangle has side lengths 5 cm.
What percentage of the triangle is shaded red?
Eight ping-pong balls are marked 1, 2, 4, 8, 16, 32, 64 and 128.
Chris takes some ping-pong balls and Paul has the rest.
When they sum up the numbers Paul’s sum is 31 more than Chris’.
How many ping-pong balls did Chris take?
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?
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?
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?