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10 questions
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- 1. Multiple-choice2 minutes1 pt
Determine the truth value of the following statement. If the statement is false, give a counterexample.
The product of two even numbers is even.
false: 8 x 4 = 32
false; 7 x 6 = 42
false; 3 x 10 = 30
true
- 2. Multiple-choice2 minutes1 pt
Which of the following best describes a counterexample to the statement?
Two lines in a plane intersect in exactly one point.
coplanar lines
parallel lines
intersecting lines
perpendicular lines
- 3. Multiple-choice5 minutes1 pt
Let p= “n is an integer and n2 is divisible by 4”
Let q= “n is divisible by 4”
p → q means “If n is an integer and n2 is divisible by 4, then n is divisible by 4.”
What is a counterexample to p → q?
4
6
8
10
- 4. Multiple-choice2 minutes1 pt
Provide a counterexample for the following:
If a number is an integer, then it is odd.
0
1
½
3
- 5. Multiple-choice3 minutes1 pt
Provide a counterexample to the statement:
All parallelograms have four right angles.
square
rectangle
rhombus
trapezoid
- 6. Multiple-choice2 minutes1 ptTake the following conditional. If true select true, if false pick the counter example.
"If a number is divisible by 3, then it is divisible by 6."True91836 - 7. Multiple-choice2 minutes1 ptIf it is a fraction, then it is a number between zero and one. What is an appropriate counterexample?2/34/51/23/2
- 8. Multiple-choice30 seconds1 ptIf it is a line, then it has a positive slope. What is an appropriate counterexample?y = -4xy = 6xy = 1/5x + 5y = 2x - 6
- 9. Multiple-choice30 seconds1 ptIf it is an angle, then it is acute. What is an appropriate counterexample?70⁰45⁰120⁰True. There is no counterexample.
- 10. Multiple-choice30 seconds1 ptIf a three-dimensional solid has a circular base, then it is a cone. What is an appropriate counterexample?prismpyramidcubecylinder
