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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Five identical small rectangles fit together to make one large rectangle.
If the width of large rectangle is 15 cm, what is the area of one small rectangle?
Each of the digits 0 – 9 have been replaced randomly by a letter from A – J.
A × B × C = B A + D + E = F
G ÷ D = A F ÷ D = D
D + A + C = G D + E = H
I ÷ E = A B + D + J = I
Work out which letter stands for which digit.
A rectangular picture is 1 cm longer than it is wide.
A 3 cm wide wooden frame is built around it.
The area of the front of the wooden frame is exactly the same area as the picture itself.
What are the dimensions of the picture?
Danny, Stephen and Lynne share a packet of jelly babies.
Between them Stephen and Lynne eat 8/15 of the jelly babies.
Danny and Stephen eat 11/12 of the jelly babies.
All the packet is eaten and they only eat whole jelly babies.
What is the smallest possible number of jelly babies in the packet?
A shop keeper sells individual sweets.
These come in packs of 100 sweets.
It takes the shop keeper one second to take out a sweet.
What is the smallest amount of time it will take the shop keeper to count out 80 sweets?
I stand on some scales holding my young son and cat. The scales show 102 kg.
I weigh 60 kg more than the combined weight of my son and cat.
The cat weighs 60% less than my son.
How much does my son weigh?
S Club 7 (all seven of them) are travelling to Rome, and each has seven cars. In each car are seven suitcases, in each suitcase are seven boxes, in each box are seven microphones, and each microphone has seven dust covers. How many items (including S Club 7 members) are there in total?
(Adapted from Fibonacci puzzle in Liber Abaci, 1202 AD)
What number should replace the question mark?
Susie the consumer surveyor looks at the 99 houses in 10ticks Street. The houses are numbered 1- 99.
As only a sample is required, she misses out houses which have a number divisible by 2 or by 3.
How many houses does she survey in this street?
Jimmy the bookkeeper works for a gold merchant every day this week (7 days).
He will be paid one gold bar for his services, but insists he is paid at the end of every day with 1/7 th of the gold bar.
What are the fewest cuts (and where) to the gold bar that will allow the gold merchant to pay Jimmy his 1/7 th of a gold bar each day?