1
,Contents
About ObjectivePass ..................................................................................................................................... 3
Section 1 - Questions .................................................................................................................................... 4
Writing and Language Test ........................................................................................................................ 4
Heart of Algebra ...................................................................................................................................... 17
Problem Solving and Data Analysis ......................................................................................................... 24
Passport to Advanced Math .................................................................................................................... 34
Geometry ................................................................................................................................................ 41
Trigonometry........................................................................................................................................... 50
Complex Numbers................................................................................................................................... 53
Section 2 - Answers and Explanations ........................................................................................................ 60
Writing and Language Test ...................................................................................................................... 60
Heart of Algebra ...................................................................................................................................... 66
Problem Solving and Data Analysis ......................................................................................................... 69
Passport to Advanced Math .................................................................................................................... 73
Geometry ................................................................................................................................................ 76
Trigonometry........................................................................................................................................... 80
Complex Numbers................................................................................................................................... 81
2
,About ObjectivePass
Objective Pass offers educational resources for anyone seeking to advance their careers and knowledge.
We offer a range of educational products, including professional certification preparation apps and exam
guides.
Our materials are designed to be accurate, comprehensive, accessible, and effective.
For more information, visit https://objectivepass.com
3
, Section 1 - Questions
Writing and Language Test
1. The sentence 'She walked quickly, her steps light and agile' could be improved by:
A. Adding a comma after 'quickly'.
B. Changing 'quickly' to 'rapidly'.
C. Removing the phrase 'light and agile'.
D. Replacing 'her steps' with 'she moved'.
2. The sentence 'The data, however, is not conclusive' is best placed:
A. After the first sentence.
B. After the second sentence.
C. After the third sentence.
D. After the fourth sentence.
3. Which choice provides the most effective transition between the second and third sentences?
A. However,
B. In addition,
C. For example,
D. Therefore,
4. The sentence 'The scientist conducted a series of experiments, and they yielded groundbreaking
results' contains a pronoun ambiguity. Which of the following revisions corrects this ambiguity?
A. The scientist conducted a series of experiments, which yielded groundbreaking results.
B. The scientist conducted a series of experiments, they yielded groundbreaking results.
C. The scientist conducted a series of experiments, and it yielded groundbreaking results.
D. The scientist conducted a series of experiments, that yielded groundbreaking results.
5. The phrase 'despite the fact that' is redundant in the sentence 'Despite the fact that she was tired, she
continued working'. Which of the following revisions is the most concise and effective?
,Contents
About ObjectivePass ..................................................................................................................................... 3
Section 1 - Questions .................................................................................................................................... 4
Writing and Language Test ........................................................................................................................ 4
Heart of Algebra ...................................................................................................................................... 17
Problem Solving and Data Analysis ......................................................................................................... 24
Passport to Advanced Math .................................................................................................................... 34
Geometry ................................................................................................................................................ 41
Trigonometry........................................................................................................................................... 50
Complex Numbers................................................................................................................................... 53
Section 2 - Answers and Explanations ........................................................................................................ 60
Writing and Language Test ...................................................................................................................... 60
Heart of Algebra ...................................................................................................................................... 66
Problem Solving and Data Analysis ......................................................................................................... 69
Passport to Advanced Math .................................................................................................................... 73
Geometry ................................................................................................................................................ 76
Trigonometry........................................................................................................................................... 80
Complex Numbers................................................................................................................................... 81
2
,About ObjectivePass
Objective Pass offers educational resources for anyone seeking to advance their careers and knowledge.
We offer a range of educational products, including professional certification preparation apps and exam
guides.
Our materials are designed to be accurate, comprehensive, accessible, and effective.
For more information, visit https://objectivepass.com
3
, Section 1 - Questions
Writing and Language Test
1. The sentence 'She walked quickly, her steps light and agile' could be improved by:
A. Adding a comma after 'quickly'.
B. Changing 'quickly' to 'rapidly'.
C. Removing the phrase 'light and agile'.
D. Replacing 'her steps' with 'she moved'.
2. The sentence 'The data, however, is not conclusive' is best placed:
A. After the first sentence.
B. After the second sentence.
C. After the third sentence.
D. After the fourth sentence.
3. Which choice provides the most effective transition between the second and third sentences?
A. However,
B. In addition,
C. For example,
D. Therefore,
4. The sentence 'The scientist conducted a series of experiments, and they yielded groundbreaking
results' contains a pronoun ambiguity. Which of the following revisions corrects this ambiguity?
A. The scientist conducted a series of experiments, which yielded groundbreaking results.
B. The scientist conducted a series of experiments, they yielded groundbreaking results.
C. The scientist conducted a series of experiments, and it yielded groundbreaking results.
D. The scientist conducted a series of experiments, that yielded groundbreaking results.
5. The phrase 'despite the fact that' is redundant in the sentence 'Despite the fact that she was tired, she
continued working'. Which of the following revisions is the most concise and effective?
