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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There are 120 different arrangements of the five letters in the word ANGLE.
If all 120 are listed in alphabetical order starting with AEGLN and finishing with NLGEA, which position in the list does ANGLE occupy?
Six of the squares in the diagram are to be shaded so the shaded squares make the net of a cube.
In how many different ways can this be done?
Two identical rulers and placed together, as shown.
Each ruler is exactly 10cm long and is marked in centimetres from 0 to 10.
The 3cm mark on each ruler is aligned with the 4cm mark on the other.
The overall length is L cm. What is the value of L?
An amount of money is to be divided equally between a group of children.
If each child was to receive 60p, then £2.10 would be left over.
If there was 20p more than this amount of money, then there would be enough for each child to receive 70p.
How many children are there in the group?
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.