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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 n^{2 }**is divisible by 4”****Let***q*= “n is divisible by 4”*p → q*means “If n is an integer and n^{2 }**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