Inductive and Deductive Reasoning

What is the next term in sequence 25, 50, 75, 100?

• 115

• 125

• 135

• 145

Tags

CCSS.5.OA.B.3

Which reasoning refers to the gathering of information through observation and measurement, formulating conjecture/s, then drawing generalization or conclusion based on the carefully gathered information?

• Argument       

• Assumption

• Deductive     

• Inductive

The following are deductive reasoning, EXCEPT:

• If 5𝑥 = 25, then 𝑥 = 5.

• Since today is Friday, tomorrow will be Saturday.

• If an isosceles triangle has at least two sides congruent, then an equilateral triangle is also isosceles.

• Maria earned A's on her first six geometry tests so she concludes that she will always earn A's on geometry tests.

Which reasoning uses proof, acceptable facts to draw specific case or situation?

• Analogy

• Argument

• Deductive

•   Inductive

Tags

CCSS.HSA.REI.A.1

If a number is divisible by 4, then the number is divisible by 2. 12 is divisible by four. Therefore,

• 4 is divisible by 2.

• 12 is divisible by 2.

• 4 is not divisible by 2.

• 12 is divisible by 4.

Which reasoning is used in the statements “Acute angles measure less than 90°∠A measures 65°. Therefore, ∠A is an acute angle.”?

•  Analogy

• Argument

• Deductive

• Inductive

Tags

CCSS.HSG.CO.C.10

CCSS.HSG.CO.C.9

All vegetarians do not eat meat. Dario is a vegetarian. What can you conclude about Dario?

• Dario is a meat lover.

• Dario is non-vegetarian.

• Dario does not eat meat.

• Dario is neither a vegetarian nor a meat lover.

What should replace the question mark?

• 
• 
• 
• 

Tags

CCSS.K.G.B.4

What are the next two terms of the sequence?

8 , 3 , −2, ___, ___

•  -7, -12

• -4, -6

• 4, 6     

• 7, 12

Tags

CCSS.6.NS.C.5

CCSS.6.NS.C.6

Philippine Eagles have wings. Pag-asa is a Philippine Eagle. Using deductive reasoning, what can you conclude about Pag-asa?

• Pag-asa can fly.

• Pag-asa is a bird.

• Pag-asa has wings.

• Pag-asa is a Philippine Eagle.