Puzzle 1
If it took …
… Alex, Billie and Charlie exactly 60 minutes to dig a hole …
how long would it take for them …
… to dig half a hole?
Puzzle 2
DJ Music Festivalall logic puzzles
During a recent music festival, four DJs entered the mixing contest.
Each wore a number, either 1, 2, 3 or 4 and their decks were different colours.
DJ Skinf Lint came first, and only one DJ wore the same number as the position he finished in.
DJ Slam Dunk wore number 1.
The DJ who wore number 2 had a red deck and DJ Jam Jar didn't have a yellow deck.
The DJ who came last had a blue deck.
DJ Park'n Ride beat DJ Slam Dunk.
The DJ who wore number 1 had a green deck and the DJ who came second wore number 3.
Can you determine who came where, which number they wore and the colour of their deck?
Puzzle 3
In this long division, each number has been replaced by another. The answer has also been removed. Can you determine the answer?
....
———————
75 | 796767
791
——
57
30
——
86
82
——
47
47
——
9
Puzzle 4
You have a very large number of generic plastic building blocks, each in the shape of a cube.
Think about how many cubes you would need in order to construct a giant cube with 16 small cubes along each edge.
If you were to then remove the outside layer, how many small cubes would you have removed?