NT304 Arizona Mathematics
,QUESTIONS
Question 1
Two reviews concern “Integration” and “Solving right and oblique triangles”.
Which item belongs primarily with the first?
A. Law of Sines, Law of Cosines
B. Trigonometric identities and formulas (Pythagorean, sum/difference, double-angle,
half-angle)
C. Antiderivatives and indefinite integrals, fundamental theorem of calculus
D. Number representations, place value systems, and relative magnitude across different
number bases
Correct Answer: C
Full Explanation: Integration: Antiderivatives and indefinite integrals, fundamental theorem of
calculus. Solving right and oblique triangles: Law of Sines, Law of Cosines. A: This describes
“Solving right and oblique triangles”, rather than the requested focus. B: This describes
“Trigonometry”, rather than the requested focus. D: This describes “Number Systems and Number
Theory”, rather than the requested focus.
Question 2
The technical requirement is “Trigonometric functions defined by right
triangles and the unit circle”. Which heading identifies the relevant area?
A. Euclidean and Non-Euclidean Geometry
B. Trigonometry
C. Measurement Concepts and Units
D. Applications of derivatives
Correct Answer: B
Full Explanation: Trigonometry: Trigonometric functions defined by right triangles and the unit
circle. A: That focus concerns “Transformations in the coordinate plane (translations, rotations,
reflections, dilations, and symmetry)”, not the activity being assigned. C: That focus concerns
“Units of measurement (customary and metric systems), dimensional analysis, and unit
conversions”, not the activity being assigned. D: That focus concerns “tangent lines, related rates,
optimization, curve sketching (extrema, inflection points, concavity), Mean Value Theorem”, not
the activity being assigned.
2
,QUESTIONS
Question 3
Which pair stays within the focus of “Measurement Concepts and Units”,
without switching to “Transformations in the coordinate plane”? The pair must
contain two distinct concerns. One concern to retain is “Calculations of length,
perimeter, circumference, area, surface area, and volume for two- and
three-dimensional geometric figures”.
A. Calculations of length, perimeter, circumference, area, surface area, and volume for two- and
three-dimensional geometric figures; Units of measurement (customary and metric systems),
dimensional analysis, and unit conversions
B. Calculations of length, perimeter, circumference, area, surface area, and volume for two- and
three-dimensional geometric figures; translations, rotations, reflections, dilations, and
symmetry
C. translations, rotations, reflections, dilations, and symmetry; Units of measurement
(customary and metric systems), dimensional analysis, and unit conversions
D. translations, rotations, reflections, dilations, and symmetry; translations, rotations,
reflections, dilations, and symmetry
Correct Answer: A
Full Explanation: Measurement Concepts and Units: Calculations of length, perimeter,
circumference, area, surface area, and volume for two- and three-dimensional geometric figures.
Measurement Concepts and Units: Units of measurement (customary and metric systems),
dimensional analysis, and unit conversions. Transformations in the coordinate plane: translations,
rotations, reflections, dilations, and symmetry. B: This describes “Transformations in the
coordinate plane”, rather than the requested focus. C: This describes “Transformations in the
coordinate plane”, rather than the requested focus. D: This repeats a different focus rather than
covering two distinct concerns in the requested area.
Question 4
A brief initially required “mean, median, mode, range, variance, standard
deviation, interquartile range” for “Measures of center and spread”, but now
concerns “Patterns, Relations, and Functions”. Which task matches the revised
requirement?
A. Inverse trigonometric functions and their domains/ranges
B. Transformations of functions (translations, scaling, reflections, stretching/compressing)
C. mean, median, mode, range, variance, standard deviation, interquartile range
D. Solving linear equations, inequalities, and absolute value equations/inequalities in one and
two variables
Correct Answer: B
Full Explanation: Patterns, Relations, and Functions: Transformations of functions (translations,
scaling, reflections, stretching/compressing). Measures of center and spread: mean, median,
mode, range, variance, standard deviation, interquartile range. A: This describes “Trigonometry”,
rather than the requested focus. C: This describes “Measures of center and spread”, rather than
the requested focus. D: This describes “Linear and Non-Linear Equations and Inequalities”, rather
than the requested focus.
3
, QUESTIONS
Question 5
After finishing “Transformations of functions (translations, scaling, reflections,
stretching/compressing)”, a practitioner moves from “Patterns, Relations, and
Functions” to “Number theory concepts”. Which task matches the new focus?
A. prime and composite numbers, divisibility, greatest common divisor (GCD), least common
multiple (LCM), fundamental theorem of arithmetic
B. Transformations of functions (translations, scaling, reflections, stretching/compressing)
C. Principles of mathematical reasoning and proof (direct proof, indirect proof, mathematical
induction, counterexamples)
D. fundamental counting principle, permutations, combinations
Correct Answer: A
Full Explanation: Number theory concepts: prime and composite numbers, divisibility, greatest
common divisor (GCD), least common multiple (LCM), fundamental theorem of arithmetic.
Patterns, Relations, and Functions: Transformations of functions (translations, scaling, reflections,
stretching/compressing). B: This describes “Patterns, Relations, and Functions”, rather than the
requested focus. C: This describes “Mathematical Reasoning and Problem Solving”, rather than the
requested focus. D: This describes “Counting principles”, rather than the requested focus.
Question 6
A candidate needs to demonstrate “Trigonometry”. Which task is the closest
match?
A. Solving right and oblique triangles (Law of Sines, Law of Cosines)
B. Historical development and conceptual connections of major mathematical ideas
C. Number representations, place value systems, and relative magnitude across different
number bases
D. direct proof, indirect proof, mathematical induction, counterexamples
Correct Answer: A
Full Explanation: Trigonometry: Solving right and oblique triangles (Law of Sines, Law of
Cosines). B: This describes “Mathematical Reasoning and Problem Solving”, rather than the
requested focus. C: This describes “Number Systems and Number Theory”, rather than the
requested focus. D: This describes “Principles of mathematical reasoning and proof”, rather than
the requested focus.
4
,QUESTIONS
Question 1
Two reviews concern “Integration” and “Solving right and oblique triangles”.
Which item belongs primarily with the first?
A. Law of Sines, Law of Cosines
B. Trigonometric identities and formulas (Pythagorean, sum/difference, double-angle,
half-angle)
C. Antiderivatives and indefinite integrals, fundamental theorem of calculus
D. Number representations, place value systems, and relative magnitude across different
number bases
Correct Answer: C
Full Explanation: Integration: Antiderivatives and indefinite integrals, fundamental theorem of
calculus. Solving right and oblique triangles: Law of Sines, Law of Cosines. A: This describes
“Solving right and oblique triangles”, rather than the requested focus. B: This describes
“Trigonometry”, rather than the requested focus. D: This describes “Number Systems and Number
Theory”, rather than the requested focus.
Question 2
The technical requirement is “Trigonometric functions defined by right
triangles and the unit circle”. Which heading identifies the relevant area?
A. Euclidean and Non-Euclidean Geometry
B. Trigonometry
C. Measurement Concepts and Units
D. Applications of derivatives
Correct Answer: B
Full Explanation: Trigonometry: Trigonometric functions defined by right triangles and the unit
circle. A: That focus concerns “Transformations in the coordinate plane (translations, rotations,
reflections, dilations, and symmetry)”, not the activity being assigned. C: That focus concerns
“Units of measurement (customary and metric systems), dimensional analysis, and unit
conversions”, not the activity being assigned. D: That focus concerns “tangent lines, related rates,
optimization, curve sketching (extrema, inflection points, concavity), Mean Value Theorem”, not
the activity being assigned.
2
,QUESTIONS
Question 3
Which pair stays within the focus of “Measurement Concepts and Units”,
without switching to “Transformations in the coordinate plane”? The pair must
contain two distinct concerns. One concern to retain is “Calculations of length,
perimeter, circumference, area, surface area, and volume for two- and
three-dimensional geometric figures”.
A. Calculations of length, perimeter, circumference, area, surface area, and volume for two- and
three-dimensional geometric figures; Units of measurement (customary and metric systems),
dimensional analysis, and unit conversions
B. Calculations of length, perimeter, circumference, area, surface area, and volume for two- and
three-dimensional geometric figures; translations, rotations, reflections, dilations, and
symmetry
C. translations, rotations, reflections, dilations, and symmetry; Units of measurement
(customary and metric systems), dimensional analysis, and unit conversions
D. translations, rotations, reflections, dilations, and symmetry; translations, rotations,
reflections, dilations, and symmetry
Correct Answer: A
Full Explanation: Measurement Concepts and Units: Calculations of length, perimeter,
circumference, area, surface area, and volume for two- and three-dimensional geometric figures.
Measurement Concepts and Units: Units of measurement (customary and metric systems),
dimensional analysis, and unit conversions. Transformations in the coordinate plane: translations,
rotations, reflections, dilations, and symmetry. B: This describes “Transformations in the
coordinate plane”, rather than the requested focus. C: This describes “Transformations in the
coordinate plane”, rather than the requested focus. D: This repeats a different focus rather than
covering two distinct concerns in the requested area.
Question 4
A brief initially required “mean, median, mode, range, variance, standard
deviation, interquartile range” for “Measures of center and spread”, but now
concerns “Patterns, Relations, and Functions”. Which task matches the revised
requirement?
A. Inverse trigonometric functions and their domains/ranges
B. Transformations of functions (translations, scaling, reflections, stretching/compressing)
C. mean, median, mode, range, variance, standard deviation, interquartile range
D. Solving linear equations, inequalities, and absolute value equations/inequalities in one and
two variables
Correct Answer: B
Full Explanation: Patterns, Relations, and Functions: Transformations of functions (translations,
scaling, reflections, stretching/compressing). Measures of center and spread: mean, median,
mode, range, variance, standard deviation, interquartile range. A: This describes “Trigonometry”,
rather than the requested focus. C: This describes “Measures of center and spread”, rather than
the requested focus. D: This describes “Linear and Non-Linear Equations and Inequalities”, rather
than the requested focus.
3
, QUESTIONS
Question 5
After finishing “Transformations of functions (translations, scaling, reflections,
stretching/compressing)”, a practitioner moves from “Patterns, Relations, and
Functions” to “Number theory concepts”. Which task matches the new focus?
A. prime and composite numbers, divisibility, greatest common divisor (GCD), least common
multiple (LCM), fundamental theorem of arithmetic
B. Transformations of functions (translations, scaling, reflections, stretching/compressing)
C. Principles of mathematical reasoning and proof (direct proof, indirect proof, mathematical
induction, counterexamples)
D. fundamental counting principle, permutations, combinations
Correct Answer: A
Full Explanation: Number theory concepts: prime and composite numbers, divisibility, greatest
common divisor (GCD), least common multiple (LCM), fundamental theorem of arithmetic.
Patterns, Relations, and Functions: Transformations of functions (translations, scaling, reflections,
stretching/compressing). B: This describes “Patterns, Relations, and Functions”, rather than the
requested focus. C: This describes “Mathematical Reasoning and Problem Solving”, rather than the
requested focus. D: This describes “Counting principles”, rather than the requested focus.
Question 6
A candidate needs to demonstrate “Trigonometry”. Which task is the closest
match?
A. Solving right and oblique triangles (Law of Sines, Law of Cosines)
B. Historical development and conceptual connections of major mathematical ideas
C. Number representations, place value systems, and relative magnitude across different
number bases
D. direct proof, indirect proof, mathematical induction, counterexamples
Correct Answer: A
Full Explanation: Trigonometry: Solving right and oblique triangles (Law of Sines, Law of
Cosines). B: This describes “Mathematical Reasoning and Problem Solving”, rather than the
requested focus. C: This describes “Number Systems and Number Theory”, rather than the
requested focus. D: This describes “Principles of mathematical reasoning and proof”, rather than
the requested focus.
4
