Solid math (hard)

I saw this in tweet today from Scientific American (link omitted intentionally). This is elegant and simple math puzzle that requires high math skills. User three numela 4′s and any math operations to produce number 55. It’s solvable without any tricks.

cheat

Pencil

Take a pencil, a ruler or any similar object and place it on top of point fingers. Now slowly start moving fingers closer together. One finger will start sliding but then it will stop and another finger will begin to slide and will also stop trading sliding action back to first finger. It doesn’t matter which finger will start sliding first but they will slide and stop in turns. Why ? There is perfectly good and simple explnation to this behavior.

cheat

Two boats

Two boats are approaching the pier. Person in each boat is pulling himself and boat in. One boat has another end of the rope tied to the pier where second boat has third person on pier pulling on another end of it’s the rope (see picture). All three people apply the same force – they all are pulling in rope equally. Which boat will reach peir fist ?

cheat

Two horses

Two horses pull ropes attaches to scales in opposite direction with the same stady force of 100 kg each. What weight do scales show?

cheat

Simple math problems

Here are few simple math problems, you should be able to solve them quickly however they may be puzzling for kids. Write an equation with five 2s using only addition (+) operation to result in 28. Similarly, write an eqation using eight 8s that results in 1000, again only addition operation is allowed. And finaly write eqation that uses five 1s and results in 100, but here any simple opearion is allowed.

cheat