Math Quiz Bee 2022

EASY 1

Which of the following is the correct if-then form of the statement?

"There is a follow-up after Live."

• If there is a follow-up, then there was Live.

• If there is Live, then there will be a follow-up.

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EASY 1

EASY 2

When is a statement a biconditional statement?

• If the statement and its converse are both true

• If the statement is true and its converse is false

EASY 3

Original: If Jenny buys a guitar, then she will not buy a keyboard.

What is this?: If Jenny does buy a keyboard, then she will not buy a guitar.

• The converse of the original statement

• The inverse of the original statement

• The contrapositive of the original statement

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EASY 3

EASY 4

Fill in the blank.

In a conditional statement, the word "whenever" introduces a __________.

• hypothesis

• conclusion

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EASY 4

EASY 5

State the negation of the following statement.

"3 is an odd number."

• 3 is not an odd number.

• 3 is an even number.

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EASY 5

MODERATE 1

Which of the following is true?

• If a conditional is true, then its inverse is false.

• If a conditional is false, then its converse is false.

• If a conditional is true, then its contrapositive is true.

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MODERATE 1

MODERATE 2

Inverse: If I do well, then I will be happy.

State the contrapositive of the statement above.

• If I am unhappy, then I will not do well.

• If I do not do well, then I will be unhappy.

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MODERATE 2

MODERATE 3

The statement,

"If you are late, then you will be marked absent.",

can be stated as:

• You will be marked absent whenever you are late.

• You are late only if you are marked absent.

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MODERATE 3

MODERATE 4

A conditional is false only when the hypothesis is...

• true and the conclusion is also true

• true while the conclusion is false

• false while the conclusion is false

• false and the conclusion is also false

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MODERATE 4

MODERATE 5

Give the truth value of the following statement.

"If x² = 25, then x = 5."

• true

• false

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MODERATE 5