Solving Square Problems: Find the Patterns & Fill In

[Mk]

I've come across these before. How should I approach them?

A square is quadrasected (I just invented that word), well, it is cut into four equal parts that are squares, and in each small square a number is placed in. The numbers must obey rules—like the bottom right square's number divided by the top right's is equal to the bottom left's number. There are three other squares that follow the same rules, but some of the squares have missing numbers. I need to find the patterns, and fill in the missing numbers.

What should I do??

 

[daveb]

Well, if each square has a set of rules (read equation) then you have a system of 4 equations in 4 unknowns.

 

[tacman]

When approaching these types of problems, the first step is to carefully analyze the given information and identify any patterns or relationships between the numbers. Look for any clues or rules that are mentioned, such as the one about division in the example provided. These clues can help guide your thinking and give you a starting point for solving the problem.

Next, try to fill in any missing numbers by using the patterns you have identified. This may involve using basic arithmetic operations like addition, subtraction, multiplication, and division. It may also require some trial and error to see which numbers fit in the missing squares while still following the given rules.

If you are still having trouble, try breaking down the larger square into smaller sections and solving each section individually. This can help simplify the problem and make it more manageable.

Finally, don't be afraid to approach the problem in different ways or use different strategies. Some problems may have multiple solutions, so be open to exploring different options.

Remember to take your time, think critically, and be patient. Solving square problems can be challenging, but with practice and perseverance, you can become more comfortable with finding patterns and filling in missing numbers.