• 40 questions

Nebraska Grade 8 Math Practice Test

Forty grade 8 questions for NSCAS math in the state table's four strands, with every tested indicator covered.

Which sets of numbers does −7 belong to?

Pick an answer, then press Check answer. Then you see Correct or Not quite, with the reason. Keys: A to D pick, Enter checks.

Print covers the next 25 questions. Share this set copies a link to the same questions in the same order.

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Unofficial practice questions, not affiliated with the Nebraska Department of Education. Bank checked October 10, 2026.

The real test: NSCAS math, grade 8

When
Each spring, with the NSCAS tests of grades 3 to 8.
Strands
Algebra 25 to 35%, Geometry 25 to 35%, Number 20 to 30%, Data 10 to 20%.
Format
An adaptive test: each student gets items inside the ranges of the table of specifications.
Reference sheet
Area, circumference and volume formulas (cone, cylinder and sphere among them), the Pythagorean Theorem and unit conversions. It says to use 3.14 for pi.
Calculator, paper version
A scientific calculator on Part 1 only. Calculators are collected after Part 1.
Scores
A scale score from 1000 to 1550 and a level: Developing, On Track or Advanced.

Checked October 10, 2026 against the NSCAS Mathematics page, the NSCAS Math Table of Specifications for Grade 8, the grade 8 reference sheet, the calculator policy and the interpretive guide for parents of the Nebraska Department of Education. Rules change, so confirm with the agency itself before your test.

The state's own sample tests

Next step NSCAS math in grades 3 to 8NSCAS reading and science practice

All 40 questions

Number 10

  • A square has an area of 70 square feet. Between which two whole numbers of feet is the length of its side? Nebraska's College and Career Ready Standards for Mathematics, grade 8, indicator 8.N.1.d (NSCAS Math Table of Specifications, Number strand)
  • What is 3.6 × 10⁵ in standard form? Nebraska's College and Career Ready Standards for Mathematics, grade 8, indicator 8.N.1.b (NSCAS Math Table of Specifications, Number strand)
  • What is the value of 2⁴ × 2⁻⁶? Nebraska's College and Career Ready Standards for Mathematics, grade 8, indicator 8.N.2.b (NSCAS Math Table of Specifications, Number strand)
  • What is the value of |−12| − |5 − 13|? Nebraska's College and Career Ready Standards for Mathematics, grade 8, indicator 8.N.2.c (NSCAS Math Table of Specifications, Number strand)
  • What is √324? Nebraska's College and Career Ready Standards for Mathematics, grade 8, indicator 8.N.2.a (NSCAS Math Table of Specifications, Number strand)
  • What is ∛125? Nebraska's College and Career Ready Standards for Mathematics, grade 8, indicator 8.N.2.a (NSCAS Math Table of Specifications, Number strand)
  • Which expression is equal to 1/125? Nebraska's College and Career Ready Standards for Mathematics, grade 8, indicator 8.N.1.b (NSCAS Math Table of Specifications, Number strand)
  • Which list puts −√10, −3, π and 3.2 in order from least to greatest? Nebraska's College and Career Ready Standards for Mathematics, grade 8, indicator 8.N.1.d (NSCAS Math Table of Specifications, Number strand)
  • Which of these four numbers cannot be written as a fraction of two integers? Nebraska's College and Career Ready Standards for Mathematics, grade 8, indicator 8.N.1.a (NSCAS Math Table of Specifications, Number strand)
  • Which sets of numbers does −7 belong to? Nebraska's College and Career Ready Standards for Mathematics, grade 8, indicator 8.N.1.a (NSCAS Math Table of Specifications, Number strand)
Show all 40 questions (30 more)

Algebra 12

  • A cube has a volume of 64 cubic inches, so the length of its edge, x, satisfies x³ = 64. What is x? Nebraska's College and Career Ready Standards for Mathematics, grade 8, indicator 8.A.1.c (NSCAS Math Table of Specifications, Algebra strand)
  • A graph of the cost of renting a bike passes through (2, 19) and (6, 43), with hours on the x-axis and dollars on the y-axis. What is the rate of change? Nebraska's College and Career Ready Standards for Mathematics, grade 8, indicator 8.A.2.b (NSCAS Math Table of Specifications, Algebra strand)
  • A plumber charges $45 for a visit plus $30 for each hour of work. One bill is $165. Which equation can be used to find h, the hours worked? Nebraska's College and Career Ready Standards for Mathematics, grade 8, indicator 8.A.2.a (NSCAS Math Table of Specifications, Algebra strand)
  • A table shows a candle burning: 18 cm tall at 1 hour, 14 cm at 3 hours and 10 cm at 5 hours. What is the rate of change? Nebraska's College and Career Ready Standards for Mathematics, grade 8, indicator 8.A.2.b (NSCAS Math Table of Specifications, Algebra strand)
  • Ana has $20 and saves $8 each week. Ben has $50 and saves $5 each week. Which equation gives w, the number of weeks until they have the same amount? Nebraska's College and Career Ready Standards for Mathematics, grade 8, indicator 8.A.2.a (NSCAS Math Table of Specifications, Algebra strand)
  • The graph of a proportional relationship is a line through (0, 0) and (4, 10). Which equation matches the graph? Nebraska's College and Career Ready Standards for Mathematics, grade 8, indicator 8.A.2.c (NSCAS Math Table of Specifications, Algebra strand)
  • How many solutions does 3x + 5 = 3x − 2 have? Nebraska's College and Career Ready Standards for Mathematics, grade 8, indicator 8.A.1.a (NSCAS Math Table of Specifications, Algebra strand)
  • Solve for x: (1/2)x + 5 = 2x − 7 Nebraska's College and Career Ready Standards for Mathematics, grade 8, indicator 8.A.1.b (NSCAS Math Table of Specifications, Algebra strand)
  • Solve for x: 3(2x − 1) = 4x + 11 Nebraska's College and Career Ready Standards for Mathematics, grade 8, indicator 8.A.1.b (NSCAS Math Table of Specifications, Algebra strand)
  • Solve for x: 7x − 4 = 3x + 20 Nebraska's College and Career Ready Standards for Mathematics, grade 8, indicator 8.A.1.b (NSCAS Math Table of Specifications, Algebra strand)
  • What are the solutions of x² = 0.81? Nebraska's College and Career Ready Standards for Mathematics, grade 8, indicator 8.A.1.c (NSCAS Math Table of Specifications, Algebra strand)
  • Which equation has exactly one solution? Nebraska's College and Career Ready Standards for Mathematics, grade 8, indicator 8.A.1.a (NSCAS Math Table of Specifications, Algebra strand)

Geometry 12

  • A 15-foot ladder leans against a wall. Its base is 9 feet from the wall. How high up the wall does the ladder reach? Nebraska's College and Career Ready Standards for Mathematics, grade 8, indicator 8.G.3.b (NSCAS Math Table of Specifications, Geometry strand)
  • A cone has a radius of 6 centimeters and a height of 5 centimeters. Using 3.14 for π, what is its volume? Nebraska's College and Career Ready Standards for Mathematics, grade 8, indicator 8.G.3.d (NSCAS Math Table of Specifications, Geometry strand)
  • A park is a rectangle 7 yards wide and 24 yards long. How long is a straight path from one corner to the opposite corner? Nebraska's College and Career Ready Standards for Mathematics, grade 8, indicator 8.G.3.b (NSCAS Math Table of Specifications, Geometry strand)
  • A sphere has a radius of 3 inches. Using 3.14 for π, what is its volume? Nebraska's College and Career Ready Standards for Mathematics, grade 8, indicator 8.G.3.d (NSCAS Math Table of Specifications, Geometry strand)
  • The angles of a triangle measure x°, 3x° and 5x°. What is the measure of the largest angle? Nebraska's College and Career Ready Standards for Mathematics, grade 8, indicator 8.G.1.a (NSCAS Math Table of Specifications, Geometry strand)
  • The point (1, 3) is reflected across the y-axis and then translated 4 units down. Where is the final image? Nebraska's College and Career Ready Standards for Mathematics, grade 8, indicator 8.G.2.c (NSCAS Math Table of Specifications, Geometry strand)
  • The point (2, 5) is rotated 90° counterclockwise about the origin. Where is its image? Nebraska's College and Career Ready Standards for Mathematics, grade 8, indicator 8.G.2.a (NSCAS Math Table of Specifications, Geometry strand)
  • The point (−2, 4) is dilated by a scale factor of 3 with the origin as center. Where is its image? Nebraska's College and Career Ready Standards for Mathematics, grade 8, indicator 8.G.2.a (NSCAS Math Table of Specifications, Geometry strand)
  • Triangle A is dilated by a scale factor of 2 to make triangle B. Which statement about the two triangles is true? Nebraska's College and Career Ready Standards for Mathematics, grade 8, indicator 8.G.2.b (NSCAS Math Table of Specifications, Geometry strand)
  • Two parallel lines are cut by a transversal. One angle measures 136°. What is the measure of its alternate interior angle? Nebraska's College and Career Ready Standards for Mathematics, grade 8, indicator 8.G.1.b (NSCAS Math Table of Specifications, Geometry strand)
  • Two parallel lines are cut by a transversal. One of a pair of same side interior angles measures 72°. What does the other measure? Nebraska's College and Career Ready Standards for Mathematics, grade 8, indicator 8.G.1.b (NSCAS Math Table of Specifications, Geometry strand)
  • What is the distance between the points (−4, 3) and (8, 8)? Nebraska's College and Career Ready Standards for Mathematics, grade 8, indicator 8.G.3.c (NSCAS Math Table of Specifications, Geometry strand)

Data 6

  • A scatter plot compares the age of a car with its resale value. The points fall from the upper left to the lower right. What kind of association is this? Nebraska's College and Career Ready Standards for Mathematics, grade 8, indicator 8.D.2.b (NSCAS Math Table of Specifications, Data strand)
  • A scatter plot has the points (1, 2), (2, 4), (3, 6), (4, 8) and (5, 1). Which point is an outlier? Nebraska's College and Career Ready Standards for Mathematics, grade 8, indicator 8.D.2.b (NSCAS Math Table of Specifications, Data strand)
  • A scatter plot shows hours of practice on the x-axis and free throws made on the y-axis. What does the point (6, 14) show? Nebraska's College and Career Ready Standards for Mathematics, grade 8, indicator 8.D.2.a (NSCAS Math Table of Specifications, Data strand)
  • On a scatter plot, the points rise steeply at first and then level off along a curve. What kind of association is this? Nebraska's College and Career Ready Standards for Mathematics, grade 8, indicator 8.D.2.b (NSCAS Math Table of Specifications, Data strand)
  • The water left in a tank is modeled by y = 40 − 2.5x, where x is minutes and y is gallons. What does the 40 tell you? Nebraska's College and Career Ready Standards for Mathematics, grade 8, indicator 8.D.2.d (NSCAS Math Table of Specifications, Data strand)
  • Which line is the best informal line of best fit for a scatter plot? Nebraska's College and Career Ready Standards for Mathematics, grade 8, indicator 8.D.2.c (NSCAS Math Table of Specifications, Data strand)

How this list was compiled: Outline: NSCAS Math Table of Specifications, Grade 8 (Nebraska Department of Education, version 5), https://www.education.ne.gov/wp-content/uploads/2023/08/NSCAS-Math-TOS-Grade-8_v5.pdf, linked from NSCAS Mathematics, https://www.education.ne.gov/assessment/nscas-general-summative-assessment/nscas-mathematics/, read 2026-10-10. Each question names the indicator it practices as the table prints it, from Nebraska's College and Career Ready Standards for Mathematics (2022). Only indicators the table marks for the state test are used; none marked "Assessed at the local level". The value 3.14 for pi is the one the state's grade 8 reference sheet gives. Every answer is arithmetic on the numbers in the question, worked out a second time. Licence: Own work. Questions, answer choices and explanations were written for this site. Nothing is copied or reworded from an NSCAS test, a sample test of the state or its test vendor, or another practice test.

How it works

Unofficial practice for the grade 8 mathematics test of NSCAS, the Nebraska Student-Centered Assessment System. Our own 40 questions, none from a real test or the state's sample tests. Not affiliated with the Nebraska Department of Education.

Read the full guide

What the Nebraska 8th grade math test covers

The state table of specifications gives grade 8 four strands. Algebra and Geometry are each 25 to 35 percent. Algebra is equations with the variable on both sides, how many solutions an equation has, root equations and rate of change. Geometry is angles in triangles and parallel lines, transformations, the Pythagorean Theorem, and volumes of cones, cylinders and spheres. Number, 20 to 30 percent, is real numbers, exponents and roots. Data, 10 to 20 percent, is scatter plots and lines of best fit.

Only what the state test asks

The table marks three grade 8 indicators "Assessed at the local level", so they are left out. Every other indicator has at least one question, and its code, such as 8.G.3.b, is under the answer.

  • Nebraska's grade 8 reference sheet gives the volume formulas and the Pythagorean Theorem. Practice finding them on the sheet.

Questions and answers

What is Nebraska's 8th grade end of the year math test?

NSCAS mathematics, part of the Nebraska Student-Centered Assessment System. The state gives it each spring to students in grades 3 to 8. This page is unofficial practice for the grade 8 test.

Where is the state's own Nebraska grade 8 math practice test?

The NSCAS Mathematics page sends grades 3 to 8 to sample tests on its test vendor's Nebraska portal; the button in the box under the questions goes there. This page is separate practice with different questions.

Can you use a calculator on the Nebraska 8th grade math test?

On part of it. The state's policy for the paper version gives grades 7 and 8 a scientific calculator for Part 1 only. Calculators are collected before the rest of the test.

How is the NSCAS grade 8 math test scored?

Nebraska reports a mathematics scale score from 1000 to 1550 and one of three achievement levels: Developing, On Track or Advanced. The documents read give no percent to pass, so a percent here is practice only.

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