G.1 Counterexamples
Authored by Tara Brown
Mathematics
9th - 12th Grade
CCSS covered
Used 254+ times
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10 questions
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1.
MULTIPLE CHOICE QUESTION
2 mins • 1 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
Tags
CCSS.3.OA.D.9
2.
MULTIPLE CHOICE QUESTION
1 min • 1 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
Tags
CCSS.HSG.CO.A.1
3.
MULTIPLE SELECT QUESTION
1 min • 1 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 CHOICE QUESTION
1 min • 1 pt
Provide a counterexample for the following:
If a number is an integer, then it is odd.
0
1
½
3
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Provide a counterexample to the statement:
All parallelograms have four right angles.
square
rectangle
rhombus
trapezoid
Tags
CCSS.5.G.B.4
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Take 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."
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
If it is a fraction, then it is a number between zero and one. What is an appropriate counterexample?
Tags
CCSS.6.NS.C.7A
CCSS.6.NS.C.7B
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