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Inductive Reasoning Practice

This worksheet helps 8th-grade students practice inductive reasoning by identifying patterns and making conjectures.

Grade 8 Math AlgebraInductive Reasoning
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Includes

Fill in the Blanks3 Short AnswerMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.8.EE.B.5CCSS.MATH.CONTENT.8.F.A.3

Topics

mathalgebrainductive reasoningpatternsconjecturegrade 8
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Inductive Reasoning Practice

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Read each question carefully and use inductive reasoning to determine the pattern or make a conjecture. Show your work where applicable.

Complete the next three numbers in each sequence.

1. 3, 6, 9, 12,  ,  ,  

2. 1, 4, 9, 16,  ,  ,  

3. 100, 95, 90, 85,  ,  ,  

4. 2, 4, 8, 16,  ,  ,  

5. Observe the pattern of squares. Draw the next figure in the sequence.

6. If you multiply any two odd numbers, what kind of number will the product always be?

a

Even

b

Odd

c

Prime

d

Composite

7. Consider the sequence of figures below. Each figure is made of matchsticks. If Figure 1 has 3 matchsticks, Figure 2 has 5 matchsticks, and Figure 3 has 7 matchsticks, how many matchsticks would be in Figure 5?

Fig 1Fig 2Fig 3

Determine if the following statements are true or false based on inductive reasoning.

8. The sum of two even numbers is always an even number.

T

True

F

False

9. All prime numbers are odd.

T

True

F

False

10. Consider the sequence: 1, 1, 2, 3, 5, 8, ... What is the next number in the sequence? Explain your reasoning.