# Is Playing a Number Puzzle Worthwhile?

A number puzzle is a type of puzzle where numbers are used as the main ingredients. Number puzzles have been around for centuries and have many varieties. Although they have changed over time, they have grown in popularity since the 1950s.

Number puzzles can be created by working backward from a solution or by starting with a known pattern. Solving number puzzles is a part of recreational mathematics. One common type is the number sequence puzzle, where one is required to find the next number in a sequence, given only the first few numbers. The solution may be an explicit formula for each sequence term or an algorithm to generate successive terms.

**Where to Find Number Puzzles**

Number puzzles have been around for many years and are often placed in newspapers and magazines alongside other types of word puzzles. They are also commonly used as part of psychometric tests for job applicants. They can also be found in puzzle books, in which they occupy a whole chapter or more. Puzzles from newspapers or magazines can also be found in books of collected puzzles, ordered by increasing difficulty or by type.

**Categories of Number Puzzles**

There are two main categories of number puzzles- those that require algebraic skills to solve and those that do not. Algebraic skills include factorization, finding common denominators, and solving simple equations. Puzzles that require only logic to solve may be solved by trial-and-error, but some can be solved using combinatorics.

Some require both algebraic and combinatorial methods to solve them, though usually not at the same time. Some problems require one method at a stage and then another method at another stage-solving the problem step by step to fit the desired outcome.

**How to Play Number Puzzles**

Playing with number puzzles is a great way to learn mathematical conventions and how to think logically. You might enjoy playing with the following puzzles:

1) The number 24 game

– In this game, use all of the numbers 1, 3, 4, and 6 exactly once to create an equation that equals 24.

– Example solution: 3 x 6 – 4 + 1 = 23

2) The middle digit games

– In this game, you are presented with a series of three-digit numbers. Your challenge is to find the rule which determines whether or not a given number follows the rule.

For example, your first three-digit number might be 524. If you subtract the first and last digits (5 – 4), you get 1. If you subtract the second and third digits (2 – 4), you get -2. Since both differences are different from each other, 524 does not follow the rule. Another example is 806. Subtracting 8 – 0 = 8 and 0 – 6 = -6 results in two differences that are equal, so 806 follows the rule

Finally, Number puzzles are great fun. They can be as simple as a one-digit addition problem or as complex as the most difficult algebra equation. Puzzles can consist of numbers, words, or a combination of both. Some people love solving number puzzles because they like the feeling of accomplishment after solving them. Other gamers just like the challenge that each puzzle presents.