North Carolina Diagnostic Assessment and Placement (NCDAP) Test — Questions and Answers
Question 1: Which of the following is a prime number?
- 51
- 57
- 63
- 61 (Correct answer)
Correct answer: 61
61 has no factors other than 1 and itself, making it prime.
Question 2: The mode of the data set 5, 8, 3, 5, 9, 2, 5, 8 is:
- 8
- No mode
- 3
- 5 (Correct answer)
Correct answer: 5
The mode is the value that appears most often; 5 appears three times, more than any other value.
Question 3: Which word is spelled correctly?
- occurrence (Correct answer)
- occurance
- occurrance
- occurence
Correct answer: occurrence
The correct spelling is 'occurrence,' with double 'c' and double 'r.'
Question 4: Which sentence demonstrates correct parallel structure?
- She likes hiking, swimming, and running. (Correct answer)
- She likes hiking, to swim, and she runs.
- She likes hiking, to swim, and running.
- She likes to hike, swimming, and to run.
Correct answer: She likes hiking, swimming, and running.
Parallel structure requires all items in a list to use the same grammatical form—here, all gerunds (-ing).
Question 5: A plumber charges $55 for the first hour and $40 for each additional hour. What is the total cost for 4 hours of work?
- $185
- $175 (Correct answer)
- $195
- $160
Correct answer: $175
$55 for the first hour plus 3 additional hours × $40 = $55 + $120 = $175.
Question 6: Which measure of central tendency is MOST affected by an extreme outlier in a data set?
- Range
- Mean (Correct answer)
- Median
- Mode
Correct answer: Mean
The mean uses every value in its calculation, so one extreme outlier can significantly pull it up or down.
Question 7: A NCDAP certified professional is asked to provide services outside their scope of competence. The CORRECT ethical response is to:
- Accept the work to gain new experience
- Accept and learn as they go
- Accept but charge a lower rate
- Decline and refer to a qualified professional (Correct answer)
Correct answer: Decline and refer to a qualified professional
Ethical practice requires professionals to work within their scope of competence. Accepting work beyond one's qualifications can lead to substandard results and potential harm. Referring to qualified professionals ensures proper service delivery.
Question 8: Read: 'Rainforests produce oxygen and absorb carbon dioxide. They also harbor over half of the world's plant and animal species. Deforestation destroys these benefits permanently.' What conclusion is BEST supported by this passage?
- Stopping deforestation is important for the climate and global biodiversity (Correct answer)
- Most plant species can survive outside of rainforests
- Rainforests are only valuable for the oxygen they produce
- Deforestation should be studied more carefully before any conclusions are drawn
Correct answer: Stopping deforestation is important for the climate and global biodiversity
The passage lists critical benefits of rainforests and notes that deforestation permanently destroys them, logically implying it should be stopped.
Question 9: Which of the following is an example of an inference?
- The passage says it is raining outside.
- The author defines the word 'melancholy' in the text.
- The character slams the door, suggesting she is upset. (Correct answer)
- The passage states the character is angry.
Correct answer: The character slams the door, suggesting she is upset.
An inference is a logical conclusion drawn from clues in the text rather than from directly stated information.
Question 10: A number cube (die) is rolled once. What is the probability of rolling a number greater than 4?
- 1/6
- 1/3 (Correct answer)
- 1/2
- 2/3
Correct answer: 1/3
Numbers greater than 4 on a standard die are 5 and 6, which is 2 out of 6 possible outcomes = 2/6 = 1/3.
Question 11: Which value of x satisfies the equation x² = 49?
- -7
- ±7 (Correct answer)
- 14
- 7
Correct answer: ±7
To solve the equation x² = 49, you need to find the numbers that, when squared, equal 49. Taking the square root of both sides gives x = ±√49. Therefore, x can be both positive 7 and negative 7, as both (7)² and (-7)² equal 49.
Question 12: Which of the following is equivalent to 3(2x - 4) + 5x?
- 11x - 12 (Correct answer)
- 11x + 12
- 11x - 4
- 6x - 12
Correct answer: 11x - 12
Distribute: 6x - 12 + 5x = 11x - 12.
Question 13: The word 'ambiguous' most nearly means:
- Extremely dangerous
- Clearly defined
- Open to more than one interpretation (Correct answer)
- Widely popular
Correct answer: Open to more than one interpretation
'Ambiguous' describes something that can be understood in more than one way due to lack of clarity.
Question 14: If 40% of a number is 60, what is the number?
- 150 (Correct answer)
- 140
- 160
- 120
Correct answer: 150
0.40 × n = 60, so n = 60 ÷ 0.40 = 150.
Question 15: What distinguishes a North Carolina Diagnostic Placement Test certified professional from a non-certified practitioner?
- There is no meaningful difference in competency
- Certification validates competency through standardized assessment against established benchmarks (Correct answer)
- Certified professionals always have more years of experience
- Certified professionals exclusively work in larger organizations
Correct answer: Certification validates competency through standardized assessment against established benchmarks
Certification provides objective validation of competency through standardized assessment. While non-certified practitioners may be skilled, certification offers verified evidence that a professional meets established benchmarks for knowledge and performance.
Question 16: Which of the following is a synonym for 'reluctant'?
- Happy
- Willing
- Unwilling (Correct answer)
- Eager
Correct answer: Unwilling
A synonym is a word that has the same or a very similar meaning to another word. 'Reluctant' describes a feeling of hesitation or unwillingness to do something. Therefore, 'unwilling' is the closest synonym, as both words convey a lack of eagerness or desire to act.
Question 17: Which pair of values (x, y) satisfies both x + y = 7 and x - y = 3?
- (6, 1)
- (5, 2) (Correct answer)
- (4, 3)
- (3, 4)
Correct answer: (5, 2)
Adding the equations gives 2x = 10, so x = 5; then y = 7 - 5 = 2.
Question 18: Simplify the fraction 18/24.
- 2/3
- 9/12
- 3/4 (Correct answer)
- 6/8
Correct answer: 3/4
Dividing numerator and denominator by their GCF of 6 gives 3/4.
Question 19: Factor completely: x² - 9
- (x - 9)(x + 1)
- (x - 3)²
- (x + 9)(x - 1)
- (x - 3)(x + 3) (Correct answer)
Correct answer: (x - 3)(x + 3)
x² - 9 is a difference of squares: (x - 3)(x + 3).
Question 20: When a NCDAP professional faces pressure to compromise professional standards, the BEST response is to:
- Comply to maintain workplace relationships
- Immediately resign from the position
- Document the pressure and uphold professional standards (Correct answer)
- Ignore the pressure and continue without reporting
Correct answer: Document the pressure and uphold professional standards
Professionals should document any pressure to compromise standards and continue upholding their professional obligations. Documentation creates a record of the situation while maintaining ethical integrity.
Question 21: Read: 'The mayor unveiled a new recycling initiative, stating it would divert 40% of the city's waste from landfills. Critics, however, questioned whether residents would participate without stronger incentives.' What is the CRITICS' concern?
- The mayor does not have authority to create such initiatives
- Landfills are not actually full
- The 40% goal is mathematically impossible
- Residents may not participate without better motivation (Correct answer)
Correct answer: Residents may not participate without better motivation
The critics specifically question whether participation will occur without stronger incentives, not the mathematics or legality.
Question 22: Which math concept should a student review to improve their chance of placing into college-level math on the NCDAP?
- Fourier transforms
- Vector calculus
- Differential equations
- Order of operations and fraction arithmetic (Correct answer)
Correct answer: Order of operations and fraction arithmetic
Order of operations and fraction arithmetic are basic skills tested on placement exams and essential for qualifying for college-level math.
Question 23: When taking notes in class, which method best supports active processing of information?
- Writing only page numbers to look up later
- Recording the lecture and not writing anything
- Summarizing ideas in your own words and noting questions (Correct answer)
- Transcribing every word the instructor says verbatim
Correct answer: Summarizing ideas in your own words and noting questions
Paraphrasing and generating questions forces you to actively process content rather than passively copy it.
Question 24: A pie chart shows that 40% of students prefer math, 35% prefer English, and the rest prefer science. What percentage prefers science?
- 25% (Correct answer)
- 15%
- 30%
- 20%
Correct answer: 25%
All percentages must sum to 100%, so science = 100% − 40% − 35% = 25%.
Question 25: A student scored 72, 85, 90, 68, and 95 on five tests. What is the mean (average) score?
- 82 (Correct answer)
- 90
- 80
- 85
Correct answer: 82
The mean is calculated by adding all scores (72+85+90+68+95=410) and dividing by the count (410÷5=82).
Question 26: Choose the most effective sentence for a formal essay:
- So the experiment didn't work out because nobody really followed the steps.
- The experiment was a total failure and the students basically ignored the protocol.
- The experiment got messed up because the students didn't follow the steps.
- The experiment failed due to the students' noncompliance with the established protocol. (Correct answer)
Correct answer: The experiment failed due to the students' noncompliance with the established protocol.
Option B uses formal, precise language appropriate for academic writing, avoiding slang and informal constructions.
Question 27: Which graph type is BEST for showing how a quantity changes over time?
- Histogram
- Pie chart
- Line graph (Correct answer)
- Bar graph
Correct answer: Line graph
A line graph is specifically designed to display trends and changes over a continuous time interval.
Question 28: What is 15% of 240?
- 24
- 30
- 40
- 36 (Correct answer)
Correct answer: 36
15% of 240 = 0.15 × 240 = 36.
Question 29: Two events are independent if:
- The outcome of one does not affect the outcome of the other (Correct answer)
- They share the same sample space
- One event causes the other
- They cannot both happen at the same time
Correct answer: The outcome of one does not affect the outcome of the other
Independent events have no influence on each other; the probability of one occurring does not change based on the other.
Question 30: A passage presents data showing that ice cream sales and drowning rates both rise in summer. What error in reasoning would it be to conclude that ice cream causes drowning?
- False analogy
- Appeal to authority
- Slippery slope
- Confusing correlation with causation (Correct answer)
Correct answer: Confusing correlation with causation
Both variables are driven by a third factor (hot weather), so assuming one causes the other is a correlation-causation error.
Question 31: Choose the sentence that is most clearly and correctly written: (A) Running through the park, the rain began to fall. (B) While running through the park, she got caught in the rain. (C) She was running, and the rain began to fall in the park. (D) The rain fell while through the park she was running.
- Running through the park, the rain began to fall.
- She was running, and the rain began to fall in the park.
- While running through the park, she got caught in the rain. (Correct answer)
- The rain fell while through the park she was running.
Correct answer: While running through the park, she got caught in the rain.
Option B correctly attaches the participial phrase 'while running through the park' to its subject 'she,' avoiding a dangling modifier.
Question 32: In 'The professor's lecture was so soporific that half the class fell asleep,' the word 'soporific' means:
- Confusing
- Causing sleepiness (Correct answer)
- Surprisingly short
- Inspiring
Correct answer: Causing sleepiness
'Soporific' means tending to induce sleep; the context clue 'half the class fell asleep' confirms this.
Question 33: Read: 'Although Marcus trained intensively, he did not qualify for the state championship.' Which word signals a CONTRAST between the two parts of this sentence?
- qualify
- trained
- intensively
- Although (Correct answer)
Correct answer: Although
'Although' is a subordinating conjunction that signals a contrast or unexpected result between two clauses.
Question 34: Simplify: (x³ · x⁵) / x⁴
- x⁶
- x¹²
- x²
- x⁴ (Correct answer)
Correct answer: x⁴
x³ · x⁵ = x⁸, then x⁸ / x⁴ = x⁴.
Question 35: The word 'benevolent' in 'The benevolent donor gave millions to fund scholarships for low-income students' most nearly means:
- Wealthy
- Cautious
- Well-known
- Generous and kind (Correct answer)
Correct answer: Generous and kind
'Benevolent' means well-meaning and generous; donating millions for scholarships exemplifies this quality.
Question 36: In NCDAP preparation, which mathematical concept is foundational for problem-solving?
- Memorizing formulas only
- Skipping word problems
- Understanding order of operations and algebraic reasoning (Correct answer)
- Using a calculator for every step
Correct answer: Understanding order of operations and algebraic reasoning
Understanding order of operations and algebraic reasoning provides the foundation for solving complex mathematical problems systematically.
Question 37: In which sentence is the apostrophe used correctly?
- The dog wagged it's tail.
- The dog wagged its tail. (Correct answer)
- The dogs' were barking.
- Its' been a long day.
Correct answer: The dog wagged its tail.
'Its' (no apostrophe) is the possessive pronoun; 'it's' (with apostrophe) is a contraction of 'it is.'
Question 38: What distinguishes a North Carolina Diagnostic Placement Test certified professional from a non-certified practitioner?
- There is no meaningful difference in competency
- Certified professionals exclusively work in larger organizations
- Certified professionals always have more years of experience
- Certification validates competency through standardized assessment against established benchmarks (Correct answer)
Correct answer: Certification validates competency through standardized assessment against established benchmarks
Certification provides objective validation of competency through standardized assessment. While non-certified practitioners may be skilled, certification offers verified evidence that a professional meets established benchmarks for knowledge and performance.
Question 39: A shirt costs $24 and a pair of pants costs $48. What percentage of the total cost is the shirt?
- 25%
- 33⅓% (Correct answer)
- 50%
- 40%
Correct answer: 33⅓%
Total = $72; 24/72 = 1/3 ≈ 33.33%.
Question 40: Identify the error in this sentence: 'Neither the coach nor the players was prepared for the rain.'
- Comma needed after 'coach'
- Verb should be 'were' to agree with 'players' (Correct answer)
- Incorrect pronoun 'the'
- No error exists
Correct answer: Verb should be 'were' to agree with 'players'
With 'neither/nor,' the verb agrees with the noun closest to it—'players' is plural, so 'were' is correct.
Question 41: If the median of an ordered data set with 9 values is the 5th value, which position holds the median in a data set with 11 values?
- 7th
- 6th (Correct answer)
- Between the 5th and 6th
- 5th
Correct answer: 6th
For an odd number of values n, the median is at position (n+1)/2 = (11+1)/2 = 6th position.
Question 42: How many distinct real roots does x⁴ − 5x² + 4 = 0 have?
- 0
- 2
- 3
- 4 (Correct answer)
Correct answer: 4
Let u = x²: u² − 5u + 4 = (u−1)(u−4) = 0, giving x = ±1, ±2 — four real roots.
Question 43: A reader disagrees with an author's conclusion. Which response demonstrates the strongest critical reading skill?
- Identify specific weaknesses in the author's evidence or reasoning. (Correct answer)
- Dismiss the passage because the conclusion is wrong.
- Accept the conclusion because the author seems credible.
- Stop reading once the disagreement is noticed.
Correct answer: Identify specific weaknesses in the author's evidence or reasoning.
Critical reading involves engaging with the text analytically — identifying logical gaps or weak evidence rather than simply rejecting or accepting.
Question 44: A passage written in first-person point of view uses which pronouns most frequently?
- I, me, we (Correct answer)
- You, your
- He, she, they
- One, it
Correct answer: I, me, we
First-person point of view is characterized by the narrator using 'I,' 'me,' 'my,' and 'we' to tell the story or make an argument.
Question 45: Which sentence contains a logical fallacy known as a hasty generalization?
- I met two rude tourists from Canada, so Canadians must be rude. (Correct answer)
- The data shows a correlation between sleep and academic performance.
- Some students perform better with visual learning aids.
- Most studies suggest that exercise improves mental health.
Correct answer: I met two rude tourists from Canada, so Canadians must be rude.
Concluding all Canadians are rude based on two encounters is a hasty generalization.
Question 46: If the average of four numbers is 15, what is their sum?
- 60 (Correct answer)
- 75
- 30
- 45
Correct answer: 60
Sum = mean × count = 15 × 4 = 60.
Question 47: How does the NCDAP body of knowledge relate to daily professional practice?
- It is relevant only for academic research
- It provides the foundational framework that guides decision-making and standard practices (Correct answer)
- It is theoretical and has limited practical application
- It only applies during certification exams
Correct answer: It provides the foundational framework that guides decision-making and standard practices
The body of knowledge provides the foundational framework of principles, standards, and best practices that professionals use to guide their daily decision-making, ensure consistent quality, and maintain alignment with industry standards.
Question 48: A bar graph shows monthly rainfall. January had 3 inches, February had 5 inches, and March had 4 inches. What was the total rainfall for these three months?
- 9 inches
- 15 inches
- 12 inches (Correct answer)
- 10 inches
Correct answer: 12 inches
Adding the three months: 3 + 5 + 4 = 12 inches total rainfall.
Question 49: Which of the following is NOT a function?
- y = 2x + 1
- y = x²
- x = y² (Correct answer)
- y = |x|
Correct answer: x = y²
x = y² fails the vertical line test because one x-value maps to two y-values.
Question 50: In a data set of 8 values, what is the position of the median?
- The 5th value
- Between the 3rd and 4th values
- The 4th value
- Between the 4th and 5th values (Correct answer)
Correct answer: Between the 4th and 5th values
When a data set has an even number of values, the median is the average of the two middle values — here the 4th and 5th.
Question 51: A passage argues that 'students who read for pleasure score higher on standardized tests.' A critic responds that 'students who score higher simply have more time to read.' What type of argument is the critic making?
- An appeal to authority
- A logical deduction
- A personal attack on the author
- An alternative explanation for the correlation (Correct answer)
Correct answer: An alternative explanation for the correlation
The critic is offering an alternative causal explanation, suggesting the relationship may be reversed.
Question 52: What does the word 'elaborate' most nearly mean in the sentence: 'She asked him to elaborate on his idea'?
- Decorate
- Simplify
- Ignore
- Explain more thoroughly (Correct answer)
Correct answer: Explain more thoroughly
In the sentence, 'elaborate' means to explain something in greater detail or with more thoroughness. When someone is asked to elaborate on an idea, they are expected to provide additional information, examples, or clarification. This helps to ensure a complete understanding of the concept.
Question 53: A survey of 200 students found that 80 students prefer online classes. What fraction of students prefer online classes?
- 2/5 (Correct answer)
- 1/3
- 3/5
- 1/4
Correct answer: 2/5
80/200 simplifies to 2/5, so two-fifths of students prefer online classes.
Question 54: A bag contains 4 red marbles, 3 blue marbles, and 3 green marbles. If one marble is drawn at random, what is the probability it is blue?
- 3/10 (Correct answer)
- 3/7
- 1/3
- 1/4
Correct answer: 3/10
There are 3 blue marbles out of 4+3+3=10 total marbles, so the probability is 3/10.
Question 55: A store sells apples for $1.25 each. How much do 8 apples cost?
- $10.00 (Correct answer)
- $10.50
- $8.00
- $9.00
Correct answer: $10.00
8 × $1.25 = $10.00.
Question 56: Which communication technique is most effective for conveying complex NCDAP information?
- Combining visual aids with clear verbal explanation (Correct answer)
- Sending lengthy emails
- Using only technical jargon
- Using only written memos
Correct answer: Combining visual aids with clear verbal explanation
Combining visual aids with clear verbal explanations addresses different learning styles and improves comprehension of complex information.
Question 57: What is the product of (x + 5)(x - 2)?
- x² - 3x + 10
- x² + 3x - 10 (Correct answer)
- x² + 7x - 10
- x² - 3x - 10
Correct answer: x² + 3x - 10
Using FOIL: x² - 2x + 5x - 10 = x² + 3x - 10.
Question 58: Read: 'Unlike traditional classrooms, online courses allow students to learn at their own pace and revisit material as often as needed.' What does this sentence CONTRAST?
- Different types of online learning platforms
- College courses and high school courses
- Students who learn quickly and those who learn slowly
- Traditional classrooms and online courses (Correct answer)
Correct answer: Traditional classrooms and online courses
The phrase 'unlike traditional classrooms' signals a direct comparison between in-person and online learning environments.
Question 59: In North Carolina Diagnostic Placement Test, what is the PRIMARY purpose of conducting regular safety drills and exercises?
- To ensure personnel can respond effectively in emergencies (Correct answer)
- To evaluate employee performance reviews
- To reduce daily workload
- To satisfy insurance requirements only
Correct answer: To ensure personnel can respond effectively in emergencies
Regular safety drills ensure that all personnel are prepared to respond effectively during actual emergencies. Practice builds muscle memory, identifies gaps in emergency procedures, and improves overall response times.
Question 60: In NCDAP test preparation, what is the best approach to estimation problems?
- Round to manageable numbers and calculate approximate answers (Correct answer)
- Use only mental math
- Always calculate exact answers
- Skip estimation entirely
Correct answer: Round to manageable numbers and calculate approximate answers
Rounding to manageable numbers allows quick approximate calculations that can verify reasonableness of answers or eliminate incorrect choices.
Question 61: An author writes: 'While critics claim the policy failed, the unemployment data tells a different story.' What is the author doing in this sentence?
- Agreeing with the critics
- Acknowledging opposition before presenting contrary evidence (Correct answer)
- Making an emotional appeal
- Changing the subject of the essay
Correct answer: Acknowledging opposition before presenting contrary evidence
The author uses a concession ('While critics claim') to introduce a rebuttal supported by data.
Question 62: What is the slope of the line passing through (1, 3) and (4, 9)?
- 6
- 2 (Correct answer)
- 1/2
- 3
Correct answer: 2
Slope = (9 - 3)/(4 - 1) = 6/3 = 2.
Question 63: A scatterplot shows a positive correlation between hours studied and test scores. This means:
- Hours studied and test scores are unrelated
- Test scores only depend on hours studied
- As hours studied increase, test scores tend to decrease
- As hours studied increase, test scores tend to increase (Correct answer)
Correct answer: As hours studied increase, test scores tend to increase
A positive correlation means both variables move in the same direction — more study hours correspond to higher scores.
Question 64: What is the median of the following data set: 3, 7, 1, 9, 4, 6, 2?
- 4 (Correct answer)
- 6
- 3
- 5
Correct answer: 4
After ordering the values (1, 2, 3, 4, 6, 7, 9), the median is the middle value, which is 4.
Question 65: The heights of five plants (in cm) are: 12, 15, 18, 15, 20. What is the mean height?
- 17
- 18
- 15
- 16 (Correct answer)
Correct answer: 16
Sum = 12+15+18+15+20 = 80; mean = 80 ÷ 5 = 16 cm.
Question 66: Choose the correct pronoun: 'Each student must bring ___ own laptop.'
- our
- their
- his/her's
- his or her (Correct answer)
Correct answer: his or her
The phrase 'Each student' is a singular indefinite pronoun, which requires a singular pronoun for agreement. 'His or her' correctly provides a singular, gender-neutral option that agrees with 'Each student.' Using 'their' would be grammatically incorrect as 'their' is plural.
Question 67: A line graph shows a company's sales increased from $20,000 in 2020 to $30,000 in 2022. What was the percent increase?
- 33%
- 10%
- 50% (Correct answer)
- 25%
Correct answer: 50%
Percent increase = (change ÷ original) × 100 = (10,000 ÷ 20,000) × 100 = 50%.
Question 68: In the sentence 'Despite her initial reluctance, Maria eventually embraced the new policy,' the word 'reluctance' means:
- Enthusiasm
- Confusion
- Unwillingness (Correct answer)
- Loyalty
Correct answer: Unwillingness
'Reluctance' means hesitation or unwillingness; the contrast word 'despite' signals she overcame that resistance.
Question 69: What is the result of 100 ÷ 4?
- 30
- 20
- 25 (Correct answer)
- 40
Correct answer: 25
Division is the process of splitting a number into equal parts. To calculate 100 ÷ 4, you determine how many times 4 fits into 100. This calculation results in 25, meaning there are 25 groups of 4 in 100.
Question 70: Which word correctly completes the sentence: 'The committee could not reach _______ decision.'
- a (Correct answer)
- an
- no article needed
- the
Correct answer: a
Use 'a' before words that begin with a consonant sound; 'decision' starts with a /d/ sound.
Question 71: Which conic section is represented by x²/9 + y²/4 = 1?
- Hyperbola
- Parabola
- Circle
- Ellipse (Correct answer)
Correct answer: Ellipse
This is standard ellipse form x²/a² + y²/b² = 1 with a ≠ b.
Question 72: What is the value of 2³ × 3²?
- 72 (Correct answer)
- 36
- 48
- 54
Correct answer: 72
2³ = 8 and 3² = 9; 8 × 9 = 72.
Question 73: A recipe requires 3/4 cup of sugar per batch. How many cups are needed for 8 batches?
- 8.25
- 5.5
- 7
- 6 (Correct answer)
Correct answer: 6
3/4 × 8 = 24/4 = 6 cups.
Question 74: Evaluate: 2⁰ + 3⁻¹ + 4¹
- 6
- 4 1/3
- 5 1/3 (Correct answer)
- 8
Correct answer: 5 1/3
2⁰ = 1, 3⁻¹ = 1/3, 4¹ = 4; total = 1 + 1/3 + 4 = 5 1/3.
Question 75: When annotating a reading passage, which practice is most useful for identifying the author's main argument?
- Counting the number of paragraphs
- Writing the definition of every unfamiliar word
- Underlining topic sentences and thesis statements (Correct answer)
- Highlighting every sentence in the passage
Correct answer: Underlining topic sentences and thesis statements
Topic sentences and thesis statements carry the core argument, making them the most valuable targets when annotating.
Question 76: Two cars start at the same point. Car A travels north at 55 mph and Car B travels south at 65 mph. How far apart are they after 2 hours?
- 130 miles
- 110 miles
- 240 miles (Correct answer)
- 120 miles
Correct answer: 240 miles
They move in opposite directions: (55 + 65) × 2 = 240 miles.
Question 77: What does the mean of a data set represent in NCDAP quantitative analysis?
- The most frequent value
- The middle value when sorted
- The range of values
- The arithmetic average of all values (Correct answer)
Correct answer: The arithmetic average of all values
The mean is the arithmetic average calculated by summing all values and dividing by the number of values, representing the central tendency.
Question 78: What does a low NCDAP reading score typically indicate about a student's placement?
- The student is exempt from further testing
- The student qualifies for dual enrollment programs
- The student may be placed into a developmental reading or English course (Correct answer)
- The student will be placed into an advanced literature course
Correct answer: The student may be placed into a developmental reading or English course
A low reading score on the NCDAP often results in placement into a developmental reading or integrated English course before college-level work.
Question 79: Which foundational principle is MOST important for success in the North Carolina Diagnostic Placement Test profession?
- Commitment to continuous learning, ethical practice, and quality outcomes (Correct answer)
- Maximizing financial returns on every engagement
- Maintaining the minimum requirements for certification
- Specializing in only one narrow area of practice
Correct answer: Commitment to continuous learning, ethical practice, and quality outcomes
Success in any professional field requires a commitment to continuous learning to stay current, ethical practice to maintain trust and integrity, and a focus on quality outcomes that serve stakeholders and the public interest.
Question 80: What is the relationship between a percentage and its decimal equivalent?
- They are unrelated
- Multiply the percentage by 100 to get the decimal
- Divide the percentage by 100 to get the decimal (Correct answer)
- Add 100 to get the decimal
Correct answer: Divide the percentage by 100 to get the decimal
A percentage is converted to its decimal equivalent by dividing by 100. For example, 75% becomes 0.75.
Question 81: The following scores were recorded: 60, 75, 80, 80, 90, 95. What is the range?
- 35 (Correct answer)
- 80
- 25
- 30
Correct answer: 35
Range = maximum − minimum = 95 − 60 = 35.
Question 82: A student is reading a passage and encounters an unfamiliar word. Which strategy is most effective for determining the word's meaning?
- Assume the word is unimportant
- Look only at the word's prefix
- Skip the word and continue reading
- Use surrounding context clues in the sentence and paragraph (Correct answer)
Correct answer: Use surrounding context clues in the sentence and paragraph
Context clues — words and ideas surrounding an unfamiliar term — are the most reliable in-text strategy for determining meaning.
Question 83: When a NCDAP professional faces pressure to compromise professional standards, the BEST response is to:
- Document the pressure and uphold professional standards (Correct answer)
- Ignore the pressure and continue without reporting
- Comply to maintain workplace relationships
- Immediately resign from the position
Correct answer: Document the pressure and uphold professional standards
Professionals should document any pressure to compromise standards and continue upholding their professional obligations. Documentation creates a record of the situation while maintaining ethical integrity.
Question 84: What does the range of a data set measure?
- The sum of all values divided by the count
- The most frequently occurring value
- The spread between the highest and lowest values (Correct answer)
- The middle value when data is ordered
Correct answer: The spread between the highest and lowest values
Range = maximum value − minimum value, so it measures how spread out the data is.
Question 85: The stem-and-leaf plot shows the values: 2|3 4 5, 3|1 6, 4|0 2. How many data values are there in total?
- 7 (Correct answer)
- 8
- 6
- 5
Correct answer: 7
Counting the leaves: 3 leaves in the 20s, 2 leaves in the 30s, and 2 leaves in the 40s = 7 total values.
North Carolina Diagnostic Assessment and Placement (NCDAP) Test
A computer-adaptive college placement test used by the North Carolina Community College System to assess student readiness for college-level coursework in reading, writing, and mathematics, determining appropriate course placement for incoming students.
Exam Rules
- You can skip questions and return to them later
- Flag questions for review before submitting
- No feedback shown until you submit the entire exam
- Unanswered questions count as wrong — answer everything
- 10 pretest questions are mixed in and don't affect your score
- Timer auto-submits when time runs out
- Your progress is auto-saved every 30 seconds