These activity sheets teach your students how to identify the equation that is the rule.

What are common number rules? In mathematics, there are multiple rules, but some of them we use while solving sets. They have individual names and symbols. Natural Numbers (N) - These are number set in which we include all numbers starts from zero till the end of counting. We denote this rule of common name by N. For example, {1, 2, 3, ......} or { 0, 1, 2, 3, ......}. Integers (Z) - These are the number set in which we include whole numbers and negative whole numbers both. It depends on the type of question that either we use only negative integers in one set, only positive integer in each set, or both together. We express this number of rule by Z. For Example, A = { 1, 2, 3, ......} , B = { -1, -2, -3, ......} , and { -1, -2, -3, 0, 1, 2, 3}. Rational Numbers (Q) - These are the number sets in which we include all value in fractional form. We can also add integers in it as fractional value. We denote it by Q that means it is quotient as we use R for the set of real numbers. We can make another set related to rational number that is irrational number. We don’t include rational numbers in it. For Example: 3/2 = 1.5 , -1/1000 = 0.001, 8/4 = 2. There are other number rules that are common in math practices including algebraic numbers, transcendental numbers, real numbers, imaginary numbers, complex numbers.

This is a really fun section for students because they are applied math problems. I sometimes refer to these as Code Breakers because you are trying to decipher the code of the patterns that you are presented with and then filling in the missing pieces. This will require you to take your math skills to the next level. We suggest you focus on the gaps between each set of the sequence and then compare them to learn the pattern that you see. These worksheets explain how to identify the equation that forms the rule for a given table. Students will also fill in any missing numbers in the table.

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Find the Number Rule Worksheets

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Find the Number Rule Lesson

The numbers in the table are connected by a simple rule. Find the rule and fill the missing digits. In above example 2 are added to all the numbers in row A to get the value written in row B. So we can write B = A + 2, There can be many rules regarding addition, subtraction, multiplication, division and combination of these.

Lesson and Practice

Find the rule that connects A, B, and C in each of the 2 cases. A sample problem is solved and two practice problems are provided.


Students will identify the equation that forms the rule for a given table. Ten problems are provided.


Find the rule applied in given table and find missing numbers. Ten problems are provided.


Students develop skill in identifying the equation that forms the rule for a given table. Eight problems are provided.

Warm Up

This is a wonderful sheet to use for an entire class as an introduction or review of this skill and the concepts that aplly to it. Three problems are provided.