100+ Free North Dakota A+ Mathematics Grade 8 Practice Questions

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Key Facts: North Dakota A+ Mathematics Grade 8 Exam

NDDPI

State Agency

North Dakota Department of Public Instruction, Assessment Office

Grade 8

Grade Level

2023 ND Mathematics Content Standards

100 Practice Questions

Question Count

OpenExamPrep Bank

2023 ND Math Grade 8 (NO, AR, GM, DPS)

Standards

NDDPI ND A+ Math Blueprint

Prepare for the North Dakota A+ Math Grade 8 test with 100 practice questions on real numbers, linear equations and functions, the Pythagorean Theorem, volume, transformations, and scatter plots, featuring real calculation items and detailed explanations aligned to the 2023 ND Math Content Standards.

Sample North Dakota A+ Mathematics Grade 8 Practice Questions

Try these sample questions to test your North Dakota A+ Mathematics Grade 8 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.0.5

B.√16

C.π

D.-3/4

Explanation: An irrational number cannot be written as a ratio of two integers. 0.5 = 1/2, √16 = 4, and -3/4 are all rational. π cannot be expressed as a ratio of integers and has a non-terminating, non-repeating decimal expansion, so it is irrational.

2Which number is rational?

A.√7

B.0.1010010001... (non-repeating, non-terminating)

C.√11

D.3.8

Explanation: 3.8 = 38/10 = 19/5, a ratio of two integers, so it is rational. √7 and √11 have non-terminating, non-repeating decimals, and the pattern 0.1010010001... never repeats, so all three are irrational.

3Between which two consecutive integers does √23 lie?

A.3 and 4

B.4 and 5

C.5 and 6

D.6 and 7

Explanation: Since √16 = 4 and √25 = 5, and 16 < 23 < 25, we have 4 < √23 < 5. So √23 lies between 4 and 5.

4What is √81?

A.8

B.9

C.40.5

D.81

Explanation: √81 is the positive number that squares to 81. Since 9 × 9 = 81, √81 = 9.

5Which value is closest to √52?

A.7.0

B.7.1

C.7.2

D.7.3

Explanation: 7.2² = 51.84 and 7.3² = 53.29. Since 51.84 is 0.16 away from 52 and 53.29 is 1.29 away, √52 ≈ 7.211 is closest to 7.2.

6What is ∛27?

A.3

B.9

C.243

D.6

Explanation: ∛27 is the number that cubes to 27. Since 3 × 3 × 3 = 27, ∛27 = 3.

7Which integer is closest to ∛100?

A.4

B.5

C.6

D.10

Explanation: 4³ = 64 and 5³ = 125. Since 100 − 64 = 36 and 125 − 100 = 25, 100 is closer to 125, so ∛100 is closer to 5.

8Which list shows the numbers √10, 3.1, π, √9 in order from least to greatest?

A.3.1, √9, π, √10

B.√9, 3.1, π, √10

C.√9, π, 3.1, √10

D.√9, 3.1, √10, π

Explanation: √9 = 3, 3.1 = 3.1, π ≈ 3.14159, √10 ≈ 3.162. From least to greatest: 3 < 3.1 < 3.14159 < 3.162, so the order is √9, 3.1, π, √10.

9A number line has tick marks at 2.0, 2.1, 2.2, 2.3, 2.4, 2.5. At which tick mark is √5 closest?

A.2.2

B.2.3

C.2.4

D.2.5

Explanation: 2.2² = 4.84 and 2.3² = 5.29. √5 ≈ 2.236. Since 5 − 4.84 = 0.16 and 5.29 − 5 = 0.29, √5 is closer to 2.2 than to 2.3.

10Simplify: x³ · x⁵

A.x⁸

B.x¹⁵

C.x²

D.2x¹⁵

Explanation: When multiplying powers with the same base, add the exponents: x³ · x⁵ = x^(3+5) = x⁸.

About the North Dakota A+ Mathematics Grade 8 Exam

The North Dakota A+ Summative Mathematics assessment at Grade 8 measures proficiency on the 2023 North Dakota Mathematics Content Standards across Number & Operations, Algebraic Reasoning, 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 60-80 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 8: Novice 850-967, Approaching Proficient 968-1003, Proficient 1004-1050, Advanced 1051-1150).

Exam Fee

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

North Dakota A+ Mathematics Grade 8 Exam Content Outline

19%

Number & Operations

Rational and irrational numbers, integer exponents and scientific notation, and square and cube roots to represent and compare real numbers.

40%

Algebraic Reasoning

Graphing proportional relationships and slope, deriving y = mx + b, solving linear equations in one variable and systems of two linear equations, and defining, evaluating, and comparing functions.

24%

Geometry & Measurement

The Pythagorean Theorem and distance in the coordinate plane, volume of cylinders, cones, and spheres, transformations, congruence and similarity, and angle relationships with parallel lines.

17%

Data, Probability & Statistics

Constructing and interpreting scatter plots, identifying lines of best fit, analyzing bivariate data, and using two-way tables to recognize patterns of association.

How to Pass the North Dakota A+ Mathematics Grade 8 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 8: Novice 850-967, Approaching Proficient 968-1003, Proficient 1004-1050, Advanced 1051-1150).
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 60-80 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 8 Study Tips from Top Performers

1Solve a linear equation by isolating the variable: distribute, combine like terms, then move terms with inverse operations.

2For slope, use (y2-y1)/(x2-x1); for a line through a known point, plug into y = mx + b to solve for b.

3Apply the Pythagorean Theorem a^2 + b^2 = c^2 only to right triangles, with c as the hypotenuse.

4Match each volume formula to its solid: cylinder (pi)r^2 h, cone (1/3)(pi)r^2 h, sphere (4/3)(pi)r^3.

5In scatter plots, look for the overall direction (positive, negative, or no association) before drawing a line of best fit.

Frequently Asked Questions

What is the ND A+ Math Grade 8 test?

The North Dakota A+ Summative Mathematics assessment at Grade 8 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 8, Proficient begins at 1004.

Are calculators allowed on the Grade 8 math test?

Yes. The official ND A+ Mathematics Grade 8 assessment permits a scientific calculator. 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 linear equations, slope and y-intercept, Pythagorean Theorem, volume of cylinders and spheres, scientific notation) with full worked explanations.