NAME________________________________________DATE____________________
GEOMETRY
MRS. BINASO
LOGIC: MATH A QUESTIONS
Part I:
1. What is true about the statement “If two angles are right angles, the angles have equal
measure” and its converse “If two angles have equal measure then the two angles are
right angles”?
(1) The statement is true but its converse is false.
(2) The statement is false but its converse is true.
(3) Both the statement and its converse are false.
(4) Both the statement and its converse are true.
2. Mary says, “The number I am thinking of is divisible by 2 or it is divisible by 3.”
Mary’s statement is false if the number she is thinking of is
(1) 6
(2) 8
(3) 11
(4) 15
3. What is the inverse of the statement “If it is sunny, I will play baseball”?
(1) If I play baseball, then it is sunny.
(2) If it is not sunny, I will not play baseball.
(3) If I do not play baseball, then it is not sunny.
(4) I will play baseball if and only if it is sunny.
4. What is the converse of the statement “If it is sunny, I will go swimming”?
(1) If it is not sunny, I will not go swimming.
(2) If I do not go swimming, then it is not sunny.
(3) If I go swimming, it is sunny.
(4) I will go swimming if and only if it is sunny.
5. Which statement is logically equivalent to “If I eat, then I live”?
(1) If I live, then I eat.
(2) If I eat, then I do not live.
(3) I live if and only if I eat.
(4) If I do not live, then I do not eat.
6. Which statement is the converse of “If it is a 300 ZX, then it is a car”?
(1) If it is not a 300 ZX, then it is not a car.
(2) If it is not a car, then it is not a 300 ZX.
(3) If it is a car, then it is a 300 ZX.
(4) If it is a car, then it is not a 300 ZX.
Part II: (Explain all answers)
7. Bob and Ray are describing the same number. Bob says, “The number is a positive
even integer less than or equal to 20.” Ray says, “The number is divisible by 4.” If
Bob’s statement is true and Ray’s statement is false, what are all the possible
numbers?
8. Mark says, “The number I see is odd.” Jane says, “That same number is prime.” The
teacher says, “Mark is correct or Jane is correct.” Some integers would make the
teacher’s statement true while other integers would make it false. Give and explain
one example of when the teacher’s statement is true. Give and explain one example
of when the teacher’s statement is false.
9. Given the true statement “John is not handsome” and the false statement “John is
handsome or smart.” Determine the truth value for the statement “John is smart.”
10. It is true that Donald has blue eyes and Alice has green eyes. What is the truth value
of the sentence “If Donald has green eyes, then Alice has green eyes”?