Logical Reasoning in Pattern Recognition

Bongard problem is a kind of puzzle invented by the Soviet computer scientist Michael Bongard (1924–1971) in the mid-1960s. He died in 1971 during a hiking expedition in the Pamir Mountains. The tests played an important role in the disciplines of cognitive psychology and cognitive science. Human logical reasoning has a great advantage over computer intelligence.

Be smart.   Train your brain!

Here several problems similar to the original Bongard problems go:

What is the main difference between the pictures on the left page and on the right page?

A. z5461

B. z5462

C. z5468

Try to solve the problem yourself before looking for the answers  in the A+Click Brainteaser Problems.



Harry Foundalis collected hundreds of Bongard problems.



How to Solve a Problem – Read the Question

Try to solve the following problem suggested by Leslie Green:


What is the difference between the number of letters in UPPER CASE and lower case in the text?

Most of the people and me too answered the question fast: None.

If you give the same answer, read the question again.

The trivial advice is often useful: “Try to answer exactly to the question.”

Do you get another answer? What is it?

1932Another example:  A shopkeeper of a Dairy stands six feet tall and wears size 13 sneakers. What does he weigh?



Geek Puzzle Cards

Geek’s puzzle cards are made for geeks  https://www.aplusclick.org/geek/

Geek Puzzles Cards

Aplusclick Math Apps for Grades 1 Through 12 Are on Apple Store and Google Play


5000 A+Click Math Problems are available offline. If you have problems with Internet, Aplusclick has a solution for you. Aplusclick problems are now available on App Store and Google Play. You can solve all of 5000 problems working offline.

Aplusclick has just launched a series of apps for iPhone, iPad, and Android. It includes Math for grade 1 through 12. You can track your progress or reset your score anytime. Perfect practice makes perfect!

Where do you get it?

Online: www.aplusclick.com ,   iPhone or iPad,    Android: search for Aplusclick

aplusclickAppsStore     AplusclickGooglePlay

Wittygon – Game and Math Lesson

aplusclickWittygonAplusclick has just launched Wittiygon. It is a mix of Math practice and a logic game.

icon-173-tile Aplusclick Logic Puzzle Wittygon is a free educational game for Very Intelligent People (VIP) in grades one through twelve and smart adults.

The game is free and ad-free.

 What is the story about?

In the Wittygon planetary system, the aim is to move a planet to a nearest neighbour in order to exchange positions. Match 4 or 5 planets in a row to win stars.  You win additional points if you correctly answer IQ Bonus Questions. The questions will be automatically adapted to your skills and motivation. The collection of the questions includes more than 400 logic questions, which don’t ask for special mathematical knowledge.

Where can you play?

Online: www.wittygon.com ,   iPhone or iPad,    Android:

online aplusclickAppsStore AplusclickGooglePlay

Enjoy the challenge – become clever!


Have Brain? Use it!

Find the area of the rectangle if the numbers show the areas of the corresponding triangles.


Find the area of the shape.


How many squares of all different sizes are on a chessboard?


A+Click 2014 Numbers

Education by computer2014 Annual Statistics

4600+ challenging problems for students in grades one through twelve;

500,000+ sessions on websites http://www.aplusclick.com and http://www.aplusclick.ru in 2014;

5’30” is the average duration of a session;

190 countries: USA 45%; India 9%; Canada 7%; Australia 5%; UK 5%;

10,000+ cities: top cities are  Brisbane, Australia; Chicago, USA; New Delhi, India;

25% visitors via mobile or tablets;

500 stars is the Best Score of the A+Click Challenge in 2014. Suhas, Bangalore, India is the best performer of 2014.

100 Best Performers of the A+Click Challenge in 2014: USA – 28%; Cambodia – 26%; India – 15%; Canada – 6%.

2,000+ people passed IQ Test; 454 people scored over 100;

100+ suggestions from users;

18,500 downloads of A+Click eBooks on iTunes;

A+Click continues the adventure in 2015!