Name: ________________________ Class: ___________________ Date: __________
ID: A
Geometry Module 6 Unit 1 Practice Exam
Short Answer
1. Based on the pattern, what are the next two terms of the sequence?
6, 10, 14, 18, . . .
2. Based on the pattern, what are the next two terms of the sequence?
7 7 7 7
7, , , , , . . .
2 4 8 16
3. Based on the pattern, what is the next figure in the sequence?
4. What conjecture can you make about the eleventh figure in this pattern?
5. What conjecture can you make about the seventeen term in the pattern A, B, A, C, A, B, A, C?
6. What conjecture can you make about the sum of the first 13 odd numbers?
7. What conjecture can you make about the sum of the first 15 positive even numbers?
2
=
2 = 12
2+4
=
6 = 23
2+4+6
= 12 = 3  4
2+4+6+8
= 20 = 4  5
2 + 4 + 6 + 8 + 10
= 30 = 5  6
8. What conjecture can you make about the product of 13 and 8,888,888?
13  88
=
1144
=
11,544
13  888
=
115,544
13  8888
13  88,888
=
1,155,544
9. Alfred is practicing typing. The first time he tested himself, he could type 33 words per minute. After practicing
for a week, he could type 35 words per minute. After two weeks he could type 37 words per minute. Based on
this pattern, predict how fast Alfred will be able to type after 4 weeks of practice.
1
Name: ________________________
ID: A
10. Laisha’s Internet Services designs web sites and recently began a weekly advertising campaign. Laisha noticed
an increase in her customers over a period of five consecutive weeks. Based on the pattern shown in the graph,
make a conjecture about the number of customers Laisha will have in the seventh week.
11. What is a counterexample for the conjecture?
Conjecture: Any number that is divisible by 5 is also divisible by 10.
12. What is the conclusion of the following conditional?
A number is divisible by 5 if the number ends with digits 0 or 5.
13. Identify the hypothesis and conclusion of this conditional statement:
If tomorrow is Monday, then yesterday was Saturday.
14. Another name for an if-then statement is a ____. Every conditional has two parts. The part following if is the
____ , and the part following then is the ____.
15. Write this statement as a conditional in if-then form:
All triangles have three sides.
16. Draw a Venn diagram to illustrate this conditional:
Cars are motor vehicles.
17. A conditional can have a ____ of true or false.
18. What is the converse of the following conditional?
If a number is a natural number, then it is a whole number.
19. If possible, use the Law of Detachment to draw a conclusion from the two given statements. If not possible,
write not possible.
Statement 1: If x = 6, then 2x – 9 = 3.
Statement 2: x = 6
2
Name: ________________________
ID: A
20. Use the Law of Detachment to draw a conclusion from the two given statements.
If two angles are complementary, then the sum of their measures is 90°.
X and Z are complementary.
21. Use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not
possible.
Driving is difficult if the weather is stormy.
Driving is difficult.
22. Use the Law of Syllogism to draw a conclusion from the two given statements.
If you exercise regularly, then you have a healthy body.
If you have a healthy body, then you have more energy.
23. Use the Law of Syllogism to draw a conclusion from the two given statements.
If a number is a multiple of 64, then it is a multiple of 8.
If a number is a multiple of 8, then it is a multiple of 2.
24. Use the Law of Detachment and the Law of Syllogism to draw a conclusion from the three given statements.
If a triangle has three angles with the same measure, then it is equiangular.
If a triangle is equiangular, then it is equilateral.
Triangle RST has three angles with the same measure.
25. Use the Law of Detachment and the Law of Syllogism to draw a conclusion from the three given statements.
If an elephant weighs more than 2000 pounds, then it weighs more than Jill’s car.
If something weighs more than Jill’s car, then it is too heavy for the bridge.
Smiley the elephant weighs 2150 pounds.
26. What is the converse and the truth value of the converse of the following conditional?
If an angle is a right angle, then its measure is 90.
3
ID: A
Geometry Module 6 Unit 1 Practice Exam
Answer Section
SHORT ANSWER
1. ANS:
22, 26
PTS: 1
DIF: L3
REF: 2-1 Patterns and Inductive Reasoning
OBJ: 2-1.1 Use inductive reasoning to make conjectures
STA: MA.912.G.8.4
TOP: 2-1 Problem 1 Finding and Using a Pattern
KEY: pattern | inductive reasoning
DOK: DOK 2
2. ANS:
7 7
,
32 64
PTS:
OBJ:
TOP:
DOK:
3. ANS:
1
DIF: L3
REF: 2-1 Patterns and Inductive Reasoning
2-1.1 Use inductive reasoning to make conjectures
STA: MA.912.G.8.4
2-1 Problem 1 Finding and Using a Pattern
KEY: pattern | inductive reasoning
DOK 2
PTS:
OBJ:
TOP:
DOK:
4. ANS:
1
DIF: L2
REF: 2-1 Patterns and Inductive Reasoning
2-1.1 Use inductive reasoning to make conjectures
STA: MA.912.G.8.4
2-1 Problem 1 Finding and Using a Pattern
KEY: pattern | inductive reasoning
DOK 2
.
The eleventh figure in the pattern is
PTS: 1
DIF: L2
REF: 2-1 Patterns and Inductive Reasoning
OBJ: 2-1.1 Use inductive reasoning to make conjectures
STA: MA.912.G.8.4
TOP: 2-1 Problem 2 Using Inductive Reasoning
KEY: inductive reasoning | pattern
DOK: DOK 2
5. ANS:
The seventeen term is A.
PTS:
OBJ:
TOP:
DOK:
1
DIF: L3
REF: 2-1 Patterns and Inductive Reasoning
2-1.1 Use inductive reasoning to make conjectures
STA: MA.912.G.8.4
2-1 Problem 2 Using Inductive Reasoning
KEY: inductive reasoning | pattern
DOK 2
1
ID: A
6. ANS:
The sum is 13  13  169.
PTS: 1
DIF: L4
REF: 2-1 Patterns and Inductive Reasoning
OBJ: 2-1.1 Use inductive reasoning to make conjectures
STA: MA.912.G.8.4
TOP: 2-1 Problem 3 Collecting Information to Make a Conjecture
KEY: inductive reasoning | conjecture | pattern
DOK: DOK 3
7. ANS:
The sum is 15  16.
PTS: 1
DIF: L3
REF: 2-1 Patterns and Inductive Reasoning
OBJ: 2-1.1 Use inductive reasoning to make conjectures
STA: MA.912.G.8.4
TOP: 2-1 Problem 3 Collecting Information to Make a Conjecture
KEY: inductive reasoning | pattern | conjecture
DOK: DOK 2
8. ANS:
115,555,544
PTS: 1
DIF: L3
REF: 2-1 Patterns and Inductive Reasoning
OBJ: 2-1.1 Use inductive reasoning to make conjectures
STA: MA.912.G.8.4
TOP: 2-1 Problem 3 Collecting Information to Make a Conjecture
KEY: pattern | inductive reasoning | conjecture
DOK: DOK 2
9. ANS:
41 words per minute
PTS: 1
DIF: L3
REF: 2-1 Patterns and Inductive Reasoning
OBJ: 2-1.1 Use inductive reasoning to make conjectures
STA: MA.912.G.8.4
TOP: 2-1 Problem 4 Making a Prediction
KEY: conjecture | inductive reasoning | word problem | problem solving
DOK: DOK 2
10. ANS:
Laisha will have 13 customers.
PTS:
OBJ:
TOP:
KEY:
DOK:
11. ANS:
25
PTS:
OBJ:
TOP:
DOK:
1
DIF: L3
REF: 2-1 Patterns and Inductive Reasoning
2-1.1 Use inductive reasoning to make conjectures
STA: MA.912.G.8.4
2-1 Problem 4 Making a Prediction
conjecture | inductive reasoning | pattern | word problem | problem solving
DOK 2
1
DIF: L2
REF: 2-1 Patterns and Inductive Reasoning
2-1.1 Use inductive reasoning to make conjectures
STA: MA.912.G.8.4
2-1 Problem 5 Finding a Counterexample
KEY: conjecture | counterexample
DOK 2
2
ID: A
12. ANS:
The number is divisible by 5.
PTS: 1
DIF: L3
REF: 2-2 Conditional Statements
OBJ: 2-2.1 Recognize conditional statements and their parts
STA: MA.912.G.8.4
TOP: 2-2 Problem 1 Identifying the Hypothesis and the Conclusion
KEY: conditional statement | conclusion
DOK: DOK 2
13. ANS:
Hypothesis: Tomorrow is Monday.
Conclusion: Yesterday was Saturday.
PTS: 1
DIF: L3
REF: 2-2 Conditional Statements
OBJ: 2-2.1 Recognize conditional statements and their parts
STA: MA.912.G.8.4
TOP: 2-2 Problem 1 Identifying the Hypothesis and the Conclusion
KEY: conditional statement | hypothesis | conclusion
DOK: DOK 2
14. ANS:
conditional; hypothesis; conclusion
PTS: 1
DIF: L2
REF: 2-2 Conditional Statements
OBJ: 2-2.1 Recognize conditional statements and their parts
STA: MA.912.G.8.4
TOP: 2-2 Problem 1 Identifying the Hypothesis and the Conclusion
KEY: conditional statement | hypothesis | conclusion
DOK: DOK 1
15. ANS:
If a figure is a triangle, then it has three sides.
PTS:
OBJ:
TOP:
KEY:
16. ANS:
1
DIF: L2
REF: 2-2 Conditional Statements
2-2.1 Recognize conditional statements and their parts
STA: MA.912.G.8.4
2-2 Problem 2 Writing a Conditional
hypothesis | conclusion | conditional statement
DOK: DOK 2
PTS:
OBJ:
TOP:
KEY:
1
DIF: L3
REF: 2-2 Conditional Statements
2-2.1 Recognize conditional statements and their parts
STA: MA.912.G.8.4
2-2 Problem 2 Writing a Conditional
conditional statement | Venn Diagram
DOK: DOK 2
3
ID: A
17. ANS:
truth value
PTS: 1
DIF: L3
REF: 2-2 Conditional Statements
OBJ: 2-2.1 Recognize conditional statements and their parts
STA: MA.912.G.8.4
TOP: 2-2 Problem 3 Finding the Truth Value of a Conditional
KEY: conditional statement | truth value
DOK: DOK 1
18. ANS:
If a number is a whole number, then it is a natural number.
PTS: 1
DIF: L2
REF: 2-2 Conditional Statements
OBJ: 2-2.2 Write converses, inverses, and contrapositives of conditionals
STA: MA.912.D.6.2| MA.912.D.6.3
TOP: 2-2 Problem 4 Writing and Finding Truth Values of Statements
KEY: conditional statement | converse of a conditional
DOK: DOK 2
19. ANS:
2x – 9 = 3
PTS: 1
DIF: L4
REF: 2-4 Deductive Reasoning
OBJ: 2-4.1 Use the Law of Detachment and the Law of Syllogism
STA: MA.912.D.6.4
TOP: 2-4 Problem 1 Using the Law of Detachment
KEY: Law of Detachment | deductive reasoning
DOK: DOK 3
20. ANS:
mX + mZ = 90
PTS: 1
DIF: L3
REF: 2-4 Deductive Reasoning
OBJ: 2-4.1 Use the Law of Detachment and the Law of Syllogism
STA: MA.912.D.6.4
TOP: 2-4 Problem 1 Using the Law of Detachment
KEY: deductive reasoning | Law of Detachment
DOK: DOK 2
21. ANS:
not possible
PTS: 1
DIF: L3
REF: 2-4 Deductive Reasoning
OBJ: 2-4.1 Use the Law of Detachment and the Law of Syllogism
STA: MA.912.D.6.4
TOP: 2-4 Problem 1 Using the Law of Detachment
KEY: deductive reasoning | Law of Detachment
DOK: DOK 2
22. ANS:
If you exercise regularly, then you have more energy.
PTS:
OBJ:
STA:
KEY:
1
DIF: L3
REF: 2-4 Deductive Reasoning
2-4.1 Use the Law of Detachment and the Law of Syllogism
MA.912.D.6.4
TOP: 2-4 Problem 2 Using the Law of Syllogism
deductive reasoning | Law of Syllogism
DOK: DOK 2
4
ID: A
23. ANS:
If a number is a multiple of 64, then it is a multiple of 2.
PTS: 1
DIF: L3
REF: 2-4 Deductive Reasoning
OBJ: 2-4.1 Use the Law of Detachment and the Law of Syllogism
STA: MA.912.D.6.4
TOP: 2-4 Problem 2 Using the Law of Syllogism
KEY: deductive reasoning | Law of Syllogism
DOK: DOK 2
24. ANS:
Triangle RST is equilateral.
PTS: 1
DIF: L4
REF: 2-4 Deductive Reasoning
OBJ: 2-4.1 Use the Law of Detachment and the Law of Syllogism
STA: MA.912.D.6.4
TOP: 2-4 Problem 3 Using the Laws of Syllogism and Detachment
KEY: deductive reasoning | Law of Detachment | Law of Syllogism
DOK: DOK 3
25. ANS:
Smiley is too heavy for the bridge.
PTS: 1
DIF: L4
REF: 2-4 Deductive Reasoning
OBJ: 2-4.1 Use the Law of Detachment and the Law of Syllogism
STA: MA.912.D.6.4
TOP: 2-4 Problem 3 Using the Laws of Syllogism and Detachment
KEY: deductive reasoning | Law of Detachment | Law of Syllogism
DOK: DOK 3
26. ANS:
If an angle has a measure of 90, then it is a right angle.
True
PTS:
OBJ:
STA:
TOP:
KEY:
DOK:
1
DIF: L2
REF: 2-2 Conditional Statements
2-2.2 Write converses, inverses, and contrapositives of conditionals
MA.912.D.6.2| MA.912.D.6.3
2-2 Problem 4 Writing and Finding Truth Values of Statements
conditional statement | converse of a conditional | truth value
DOK 2
5