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Inductive and Deductive Reasoning

A Grade 6 math worksheet introducing inductive and deductive reasoning through various problem types.

Grade 6 Math Logic and ReasoningInductive and Deductive Reasoning
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Includes

Fill in the Blanks2 Short AnswerMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.6.EE.B.6CCSS.MATH.CONTENT.6.RP.A.3
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Inductive and Deductive Reasoning

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Read each question carefully and determine if it uses inductive or deductive reasoning. Then solve the problems or answer the questions as directed.

For each statement, write whether it uses Inductive Reasoning or Deductive Reasoning.

1. Every time I eat peanuts, my throat gets itchy. Therefore, I am allergic to peanuts.  

2. All birds have feathers. A robin is a bird. Therefore, a robin has feathers.  

3. The first five students to arrive at school were wearing red shirts. Therefore, all students arriving today will wear red shirts.  

Using inductive reasoning, find the next two numbers in the sequence.

1. 2, 4, 6, 8,  ,  

2. 1, 3, 6, 10,  ,  

3. 1, 1, 2, 3, 5, 8,  ,  

1. All dogs are mammals. Fido is a dog. What can you logically conclude about Fido?

a

Fido has fur.

b

Fido is a mammal.

c

Fido likes bones.

d

Fido is small.

2. If a shape has four equal sides and four right angles, it is a square. This shape has four equal sides and four right angles. What is this shape?

a

Rectangle

b

Rhombus

c

Square

d

Trapezoid

1. Create an example of inductive reasoning. Describe an observation and then a general conclusion.

2. Create an example of deductive reasoning. Start with a general rule and then make a specific conclusion.

Determine if each statement is True or False.

1. Inductive reasoning always guarantees a true conclusion.

T

True

F

False

2. Deductive reasoning moves from general principles to specific conclusions.

T

True

F

False