WorksheetsLogic Test Review
Total questions: 26
Worksheet time: 18mins
What is the hypothesis for statement:
"If Lyndsey studies for her test, then she will pass." (Q1)
Lyndsey needs to study to pass.
Lyndsey will pass.
Lyndsey studies for her test.
What is the conclusion for statement:
"If Lyndsey studies for her test, then she will pass." (Q1)
Lyndsey needs to study to pass.
Lyndsey will pass.
Lyndsey studies for her test.
What is the hypothesis for statement:
"If a figure has exactly 3 sides then it is a triangle." (Q2)
Triangles are 3-sided figures
A figure has exactly 3 sides
A figure is a triangle
What is the conclusion for statement:
"If a figure has exactly 3 sides then it is a triangle." (Q2)
Triangles are 3-sided figures
A figure has exactly 3 sides
A figure is a triangle
For the Venn diagram, what is the hypothesis? (Q3)
A number is odd.
A number is an integer.
If a number is an integer then it is odd.
If a number is odd then it is an integer.
For the Venn diagram, what is the conclusion? (Q3)
A number is odd.
A number is an integer.
If a number is an integer then it is odd.
If a number is odd then it is an integer.
Write a conditional statement to match the Venn diagram.(Q3)
A number is odd.
A number is an integer.
If a number is an integer then it is odd.
If a number is odd then it is an integer.
Write a conditional statement of form p→q. (Q4)
Hypothesis (p) : You purchase a new phone
Conclusion (q) : Your phone bill increases.
If your phone bill increases then you purchase a new phone.
If you do not purchase a new phone then your phone bill will not increase.
If you purchase a new phone then your phone bill will increase.
If your phone bill did not increase then you did not purchase a new phone.
Rewrite as a conditional: (Q5)
A triangle with two congruent angles is isosceles.
If a triangle is isosceles then it has two congruent angles.
A triangle has two congruent sides if and only if it is isosceles.
If a triangle has two congruent angles then it is isosceles.
Rewrite as a conditional: (Q6)
All quadrilaterals are figures with four sides.
If a figure is a quadrilateral then it has four sides.
A figure is a quadrilateral if and only if it has four sides.
If a figure has four sides then it is a quadrilateral.
Write converse: If a figure is a hexagon, then it is a polygon. (Q7)
A figure is a hexagon if and only if it is a polygon.
If a figure is not a hexagon then it is not a polygon.
If a figure is not a polygon then it is not a hexagon.
If a figure is a polygon then it is a hexagon.
Write inverse: If a figure is a hexagon, then it is a polygon. (Q7)
A figure is a hexagon if and only if it is a polygon.
If a figure is not a hexagon then it is not a polygon.
If a figure is not a polygon then it is not a hexagon.
If a figure is a polygon then it is a hexagon.
Write contrapositive: If a figure is a hexagon, then it is a polygon. (Q7)
A figure is a hexagon if and only if it is a polygon.
If a figure is not a hexagon then it is not a polygon.
If a figure is not a polygon then it is not a hexagon.
If a figure is a polygon then it is a hexagon.
What are the truth values for the converse, inverse and contrapositive of:
If a figure is a hexagon, then it is a polygon. (Q7)
All are true
All are false
Converse and Inverse are True; Contrapositive is False.
Converse and Inverse are False; Contrapositive is True.
Write converse: (Q8)
If you live in San Antonio, then you are a Texan.
If you are a Texan, then you live in San Antonio.
If you are not a Texan then you do not live in San Antonio
If you do not live in San Antonio then you are not a Texan.
Write inverse: (Q8)
If you live in San Antonio, then you are a Texan.
If you are a Texan, then you live in San Antonio.
If you are not a Texan then you do not live in San Antonio
If you do not live in San Antonio then you are not a Texan.
Write contrapositive: (Q8)
If you live in San Antonio, then you are a Texan.
If you are a Texan, then you live in San Antonio.
If you are not a Texan then you do not live in San Antonio
If you do not live in San Antonio then you are not a Texan.
Write only 1 counterexample for the statement: (Q9)
Every month of the year has an "r" in its name.
(a)
For the statement below, determine if it is true or false. If false provide a counterexample (Q10)
All supplementary angles form linear pairs.
True
False; Linear pairs are complementary
False: Two right angles which are not adjacent would be supplementary but not form a linear pair.
Consider the pattern: 6, 9, 13, 18,… (Q10A)
What are the next two terms? Select all that apply
23
24
29
30
31
How would you determine the next terms? (Q11B)
6, 9, 13, 18,…
What are the next two terms? (Q12)
74, 66, 58, 50, …
44
42
40
34
32
What is the 20th term? (Q12)
74, 66, 58, 50, …
-78
-86
-94
Consider the pattern: 2, 5, 10, 17, 26, … (Q13A)
What are the next two terms?
35
37
43
48
50
Consider the pattern: 2, 5, 10, 17, 26, … (Q13B)
How do you determine the next terms?
Consider the pattern: 2, 5, 10, 17, 26, …
Which formula could you use to determine the n-th term of the sequence a_n?
an=2(n+1)(n+2)
an=n2+1
an=2n(n+3)
an=n(n+1)
