Ch. 1 Review - M202

Charlie has a dog that is a Chocolate Labrador. All Chocolate Labradors are brown in colour. What can be deduced from the statement?

• Charlie has a dog

• All dogs are brown in colour

• Charlie’s dog is brown in colour

• All dogs are Chocolate Labradors

A concluding statement reached using inductive reasoning is called a _______

• compound statement

• conjecture

• condition

• counterexample

To fully disprove a conjecture, one needs to find only ONE counterexample.

• True

• False

Henry has a friend named Seamus. Henry knows that “Seamus” is a Scottish name. Henry concludes that his friend Seamus is Scottish. Henry came to this conclusion based on:

• Deductive Reasoning

• Inductive Reasoning

• Racial profiling

• Intuition

How many counters would come next?

• 5
• 7
• 9
• 11

The triangle of numbers is known as Pascal’s Triangle. Look for a recursive pattern. What is the next row at the bottom?

• 1, 4, 6, 8, 6, 4, 1

• 1, 6, 11, 11, 6, 1

• 1, 6, 15, 20, 15, 6, 1

• 1, 7, 21, 35, 35, 21, 7, 1

Making a conjecture after observing a number of examples and generalizing a pattern is called

• Inductive Reasoning

• Finding a counterexample

• Deductive Reasoning

• Mathematical Reasoning

Disproving a conjecture can be accomplished by

• Showing all possible cases may work

• Finding a counterexample

• Showing the opposite is not true

• Proof by association

Sierra notices that when she adds 9+7 the result is 16. She does these additional problems: 7+1=8; 9+15=24; 17+11=28. Which conjecture is reasonable?

• The sum of 2 odd numbers is always even

• The sum of 2 even numbers is always odd

• The sum of 2 odd numbers is always odd

• The sum of 2 even numbers is always even

During which step did Alison make a mistake?

• Step 1

• Step 2

• Step 3

• Step 4