Inductive & Deductive Reasoning

Find the rule the pattern is using.

729 , 243 , 81 , 27 , 9

• multiply by 3

• subtract 486

• divide by 3

• add -486

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Which choice best demonstrates a

pattern with the rule add 7?

• 10 , 18 , 26 , 34 , 42

• 10 , 17 , 24 , 31 , 38

• 9 , 13 , 17 , 21 , 25

• 5 , 10 , 15 , 20 , 25

Tags

CCSS.HSF.BF.A.2

Use the chart to determine the next number in the pattern.

• 68

• 59

• 61

• 62

All dogs are mammals. All mammals have kidneys. Fido is a dog. What can be deduced about Fido?

• Fido is not a mammal

• Fido does not have kidneys

• Fido has kidneys

• Fido is not a dog

To estimate the population of a town in upcoming years, one of the town people collected populations from years past. The town wants to estimate the population in 5 years. Will the town use inductive or deductive reasoning to estimate?

• inductive

• deductive

How many toothpicks are in figure 10?

• 20

• 21

• 19

• 22

Which figure is next in the sequence?

• D

• A

• C

• E

Is Inductive or Deductive reasoning used in this situation?

The catalog states that all incoming freshman must take the math placement exam.

You are an entering freshman.

Therefore you must take the math placement exam.

• Inductive

• Deductive

Choose a number

add 3

multiply by 2

add 8

divide by 2

subtract the original number

What is your result?

• the original number

• 5

• 7

• 2

When using inductive reasoning, how many times should you test a conjecture to be able to say it is a pattern?

• only once

• twice

• three times

• none