100+ Free North Dakota A+ Mathematics Grade 10 Practice Questions

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Key Facts: North Dakota A+ Mathematics Grade 10 Exam

NDDPI

State Agency

North Dakota Department of Public Instruction, Assessment Office

Grade 10

Grade Level

2023 ND Mathematics Content Standards

100 Practice Questions

Question Count

OpenExamPrep Bank

2023 ND Math Grade 9-10 (NO, AR, GM, DPS)

Standards

NDDPI ND A+ Math Blueprint

Prepare for the North Dakota A+ Math Grade 10 test with 100 practice questions on the real number system, expressions and equations, functions, congruence and similarity, circles, volume, and probability, featuring real calculation items and detailed explanations aligned to the 2023 ND Math Content Standards.

Sample North Dakota A+ Mathematics Grade 10 Practice Questions

Try these sample questions to test your North Dakota A+ Mathematics Grade 10 exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Which of the following numbers is irrational?

A.0.75

B.√81

C.7/3

D.√50

Explanation: √50 = √(25·2) = 5√2, which cannot be written as a ratio of integers, so it is irrational. 0.75 = 3/4, √81 = 9, and 7/3 are all rational.

2Simplify x^5 · x^3.

A.x^15

B.x^8

C.x^2

D.2x^8

Explanation: When multiplying like bases, add the exponents: x^5 · x^3 = x^(5+3) = x^8.

3Evaluate 2^(−3).

A.−8

B.−1/8

C.1/6

D.1/8

Explanation: A negative exponent means take the reciprocal of the base raised to the positive exponent: 2^(−3) = 1/(2^3) = 1/8.

4Simplify √28.

A.2√7

B.4√7

C.7√2

D.14

Explanation: Find the largest perfect-square factor: √28 = √(4·7) = √4 · √7 = 2√7.

5Evaluate 27^(2/3).

A.3

B.6

C.9

D.81

Explanation: A fractional exponent a^(m/n) means take the nth root, then raise to the mth power: 27^(2/3) = (∛27)^2 = 3^2 = 9.

6Rewrite ∛(x^4) using a rational exponent.

A.x^(3/4)

B.x^(4/3)

C.x^12

D.x^(1/3)·x^4

Explanation: The nth root becomes the 1/n exponent: ∛(x^4) = x^(4/3). The denominator of the exponent is the index of the root; the numerator is the power inside.

7Simplify √(48x^2) for x ≥ 0.

A.4x√3

B.4√(3x)

C.16x√3

D.2x√12

Explanation: √48 = √(16·3) = 4√3 and √(x^2) = x (since x ≥ 0), so √(48x^2) = 4x√3.

8Which expression is irrational?

A.3 + √4

B.5 + √2

C.1/2 + √0

D.2·√(9/4)

Explanation: √2 is irrational, and adding 5 (rational) keeps the sum irrational. √4 = 2 (so 3+2 = 5), √0 = 0 (so 1/2 + 0 = 1/2), and √(9/4) = 3/2 (so 2·3/2 = 3); all the others simplify to rational numbers.

9A car travels 90 miles in 1.5 hours. What is its speed in feet per second? (1 mile = 5280 ft)

A.132

B.44

C.88

D.58.7

Explanation: Speed = 90/1.5 = 60 mph. Convert: 60 mi/hr × 5280 ft/mi ÷ 3600 s/hr = (60·5280)/3600 = 316800/3600 = 88 ft/s.

10A rectangle measures 12.4 cm by 8.2 cm. To how many significant figures should the area be reported?

A.1

B.2

C.3

D.4

Explanation: When multiplying, the result is limited by the factor with the fewest significant figures. 12.4 has 3 sig figs and 8.2 has 2 sig figs, so the area should be reported to 2 significant figures.

About the North Dakota A+ Mathematics Grade 10 Exam

The North Dakota A+ Summative Mathematics assessment at Grade 10 measures proficiency on the 2023 North Dakota Mathematics Content Standards across Number & Operations, Algebraic Reasoning (including functions), Geometry & Measurement, and Data, Probability & Statistics. It is administered online through TestNav in spring, replacing the former NDSA beginning Spring 2025. This 100-question practice bank uses four-option MCQs as an English-language study adaptation.

Assessment

Online criterion-referenced assessment delivered through TestNav; selected-response, technology-enhanced, equation-entry, and constructed-response items across four reporting categories. This local bank contains 100 English four-option practice MCQs, including real calculation items.

Time Limit

Untimed; 2025 average about 58 minutes (25th-75th percentile 38-74 minutes)

Passing Score

Four performance levels: Level 1 Novice, Level 2 Approaching Proficient, Level 3 Proficient, Level 4 Advanced. Level 3 and above denotes proficiency. Scale scores range 850-1150 (Grade 10: Novice 850-975, Approaching Proficient 976-1031, Proficient 1032-1108, Advanced 1109-1150).

Exam Fee

No fee to students (North Dakota Department of Public Instruction (NDDPI))

North Dakota A+ Mathematics Grade 10 Exam Content Outline

14%

Number & Operations

The real number system including rational and irrational numbers, and quantitative reasoning with units to solve problems.

35%

Algebraic Reasoning

Seeing structure in expressions, arithmetic with polynomials and rational expressions, creating equations (linear, quadratic, exponential), reasoning with equations and inequalities including systems, and interpreting, building, and comparing functions.

35%

Geometry & Measurement

Congruence via transformations, similarity and right-triangle trigonometry, circles (arcs and sectors), expressing geometric properties with equations, volume formulas, and modeling with geometry.

16%

Data, Probability & Statistics

Interpreting data distributions by shape, center, and spread; comparing two or more data sets; conditional probability and independence; and using probability to make decisions.

How to Pass the North Dakota A+ Mathematics Grade 10 Exam

What You Need to Know

Passing score: Four performance levels: Level 1 Novice, Level 2 Approaching Proficient, Level 3 Proficient, Level 4 Advanced. Level 3 and above denotes proficiency. Scale scores range 850-1150 (Grade 10: Novice 850-975, Approaching Proficient 976-1031, Proficient 1032-1108, Advanced 1109-1150).
Assessment: Online criterion-referenced assessment delivered through TestNav; selected-response, technology-enhanced, equation-entry, and constructed-response items across four reporting categories. This local bank contains 100 English four-option practice MCQs, including real calculation items.
Time limit: Untimed; 2025 average about 58 minutes (25th-75th percentile 38-74 minutes)
Exam fee: No fee to students

Keys to Passing

Work through all 100 available questions
Review every answer and explanation
Track weak areas and revisit them
Use our AI tutor for tough concepts

North Dakota A+ Mathematics Grade 10 Study Tips from Top Performers

1Factor quadratics by looking for common factors first, then use product-sum reasoning or the quadratic formula.

2For linear versus exponential growth, add a constant for linear and multiply by a constant for exponential.

3In right-triangle trigonometry, set up SOH-CAH-TOA and solve with the inverse trig functions when a side is unknown.

4For circles, keep arc length (fraction of circumference) and sector area (fraction of full area) tied to the central angle.

5Distinguish conditional probability P(A|B) = P(A and B)/P(B) from independent events, where P(A|B) = P(A).

Frequently Asked Questions

What is the ND A+ Math Grade 10 test?

The North Dakota A+ Summative Mathematics assessment at Grade 10 measures proficiency on the 2023 ND Mathematics Content Standards. It is an online, criterion-referenced assessment delivered through TestNav with selected-response, technology-enhanced, and constructed-response items across four reporting categories.

What performance levels are reported?

Four levels are reported: Level 1 Novice, Level 2 Approaching Proficient, Level 3 Proficient, and Level 4 Advanced. Level 3 and above denotes grade-level proficiency. Scale scores range from 850 to 1150; for Grade 10, Proficient begins at 1032.

Are calculators allowed on the Grade 10 math test?

Yes. The official ND A+ Mathematics Grade 10 assessment allows scientific or graphing calculator use on all items. The practice bank includes calculator-appropriate calculation items.

Does this practice bank include calculation problems?

Yes. The 100-question bank includes real calculation items (solving quadratics, evaluating functions, right-triangle trigonometry, arc length and sector area, volume) with full worked explanations.