Conjectures and Counterexamples

Conjectures and Counterexamples

7th - 10th Grade

10 Qs

quiz-placeholder

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Conjectures and Counterexamples

Conjectures and Counterexamples

Assessment

Quiz

Mathematics

7th - 10th Grade

Medium

CCSS
HSF.BF.A.2, HSA.REI.A.2, HSA.CED.A.1

+7

Standards-aligned

Created by

Corbin Marshall

Used 642+ times

FREE Resource

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

A concluding statement reached using inductive reasoning is called a _______

compound statement

conjecture

condition

counterexample

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

To fully disprove a conjecture, one needs to find only ONE counterexample.

True

False

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which of the following is a counterexample to the following conjecture? If  x2 = 4x^2\ =\ 4 , then x = 2

x = 4

x = -2

x = 2

x = -4

Tags

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.4

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which number is a counterexample to the following statement?
For all numbers a, 2a + 7 17\le17  

a = 6

a = 0

a = 5

a = 1

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which of the following conjectures is false?
The product of two even numbers is even.
The sum of two even numbers is even.
The product of two odd numbers is odd.
The sum of two odd numbers is odd.

Tags

CCSS.6.EE.B.6

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Complete the conjecture.
The sum of two negative numbers is ___________.
positive
negative
odd
even

Tags

CCSS.7.EE.A.1

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image
How many counters would come next?
5
7
9
11

Tags

CCSS.4.OA.C.5

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