Expressions and Equations and the Number System 15
A cube-shaped tank holds 343 cubic feet. How long is one edge of the tank?New Jersey Student Learning Standards for Mathematics (2023), grade 8, standard 8.EE.A.2a; NJSLA-A Mathematics Blueprint, grade 8, reporting category Expressions and Equations and the Number System
A farm has hens and goats: 20 animals with 56 legs in all. How many goats are there?New Jersey Student Learning Standards for Mathematics (2023), grade 8, standard 8.EE.C.8c; NJSLA-A Mathematics Blueprint, grade 8, reporting category Expressions and Equations and the Number System
A line crosses the y-axis at (0, −3) and rises 2 units for every 5 units it runs to the right. What is its equation?New Jersey Student Learning Standards for Mathematics (2023), grade 8, standard 8.EE.B.6; NJSLA-A Mathematics Blueprint, grade 8, reporting category Expressions and Equations and the Number System
A stack of paper has about 5 × 10² sheets. A warehouse holds about 2 × 10⁷ sheets. About how many stacks is that?New Jersey Student Learning Standards for Mathematics (2023), grade 8, standard 8.EE.A.3; NJSLA-A Mathematics Blueprint, grade 8, reporting category Expressions and Equations and the Number System
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Expressions and Equations and the Number System, continued
The graphs of two linear equations cross at (2, −3) and nowhere else. What does that point tell you?New Jersey Student Learning Standards for Mathematics (2023), grade 8, standard 8.EE.C.8a; NJSLA-A Mathematics Blueprint, grade 8, reporting category Expressions and Equations and the Number System
How many solutions does 4(2x − 3) + 5 = 8x − 7 have?New Jersey Student Learning Standards for Mathematics (2023), grade 8, standard 8.EE.C.7a; NJSLA-A Mathematics Blueprint, grade 8, reporting category Expressions and Equations and the Number System
The product of 4 and which number is irrational?New Jersey Student Learning Standards for Mathematics (2023), grade 8, standard 8.NS.A.3; NJSLA-A Mathematics Blueprint, grade 8, reporting category Expressions and Equations and the Number System
Pump A moves 18 gallons each minute. Pump B’s graph of gallons against minutes is a straight line through (0, 0) and (5, 110). Which pump is faster?New Jersey Student Learning Standards for Mathematics (2023), grade 8, standard 8.EE.B.5; NJSLA-A Mathematics Blueprint, grade 8, reporting category Expressions and Equations and the Number System
What is (9.6 × 10⁸) ÷ (1.2 × 10³) in scientific notation?New Jersey Student Learning Standards for Mathematics (2023), grade 8, standard 8.EE.A.4; NJSLA-A Mathematics Blueprint, grade 8, reporting category Expressions and Equations and the Number System
What is the solution of 1/2 (8x − 6) = x + 12?New Jersey Student Learning Standards for Mathematics (2023), grade 8, standard 8.EE.C.7b; NJSLA-A Mathematics Blueprint, grade 8, reporting category Expressions and Equations and the Number System
What is the solution of the system y = 4x and x + y = 15?New Jersey Student Learning Standards for Mathematics (2023), grade 8, standard 8.EE.C.8b; NJSLA-A Mathematics Blueprint, grade 8, reporting category Expressions and Equations and the Number System
What is √98 in simplest radical form?New Jersey Student Learning Standards for Mathematics (2023), grade 8, standard 8.EE.A.2b; NJSLA-A Mathematics Blueprint, grade 8, reporting category Expressions and Equations and the Number System
Which fraction is equal to 0.7222..., where only the 2 repeats?New Jersey Student Learning Standards for Mathematics (2023), grade 8, standard 8.NS.A.1; NJSLA-A Mathematics Blueprint, grade 8, reporting category Expressions and Equations and the Number System
Which number is closest to √52?New Jersey Student Learning Standards for Mathematics (2023), grade 8, standard 8.NS.A.2; NJSLA-A Mathematics Blueprint, grade 8, reporting category Expressions and Equations and the Number System
Which power of 6 is equal to 6⁻³ × 6⁷?New Jersey Student Learning Standards for Mathematics (2023), grade 8, standard 8.EE.A.1; NJSLA-A Mathematics Blueprint, grade 8, reporting category Expressions and Equations and the Number System
Geometry 15
A ball is a sphere 12 inches across. What is its volume, in terms of π?New Jersey Student Learning Standards for Mathematics (2023), grade 8, standard 8.G.C.9; NJSLA-A Mathematics Blueprint, grade 8, reporting category Geometry
A box is 3 inches wide, 4 inches long and 12 inches tall. How long is the diagonal from a bottom corner to the opposite top corner?New Jersey Student Learning Standards for Mathematics (2023), grade 8, standard 8.G.B.7; NJSLA-A Mathematics Blueprint, grade 8, reporting category Geometry
A dilation centered at the origin takes the point (6, −9) to the point (4, −6). What is the scale factor?New Jersey Student Learning Standards for Mathematics (2023), grade 8, standard 8.G.A.3; NJSLA-A Mathematics Blueprint, grade 8, reporting category Geometry
A ramp rises 1.5 meters over a horizontal run of 3.6 meters. How long is the sloping surface of the ramp?New Jersey Student Learning Standards for Mathematics (2023), grade 8, standard 8.G.B.7; NJSLA-A Mathematics Blueprint, grade 8, reporting category Geometry
A rectangle is dilated by a scale factor of 3 and then rotated 90°. How does the image compare with the first rectangle?New Jersey Student Learning Standards for Mathematics (2023), grade 8, standard 8.G.A.4; NJSLA-A Mathematics Blueprint, grade 8, reporting category Geometry
A segment 7 units long is rotated 90° about a point and then translated 3 units up. How long is its image?New Jersey Student Learning Standards for Mathematics (2023), grade 8, standard 8.G.A.1a; NJSLA-A Mathematics Blueprint, grade 8, reporting category Geometry
A soup can is a cylinder 8 centimeters across and 11 centimeters tall. What is its volume, in terms of π?New Jersey Student Learning Standards for Mathematics (2023), grade 8, standard 8.G.C.9; NJSLA-A Mathematics Blueprint, grade 8, reporting category Geometry
An exterior angle of a triangle measures 140°. The two remote interior angles are equal. What is the measure of each one?New Jersey Student Learning Standards for Mathematics (2023), grade 8, standard 8.G.A.5; NJSLA-A Mathematics Blueprint, grade 8, reporting category Geometry
On a coordinate grid, a boat sails in a straight line from (−3, −4) to (9, 1). How many units long is the trip?New Jersey Student Learning Standards for Mathematics (2023), grade 8, standard 8.G.B.8; NJSLA-A Mathematics Blueprint, grade 8, reporting category Geometry
Point K(−7, 2) is rotated 90° counterclockwise about the origin. What are the coordinates of its image?New Jersey Student Learning Standards for Mathematics (2023), grade 8, standard 8.G.A.3; NJSLA-A Mathematics Blueprint, grade 8, reporting category Geometry
Triangle A has angles of 35° and 85°. Triangle B has angles of 85° and 60°. Are the two triangles similar?New Jersey Student Learning Standards for Mathematics (2023), grade 8, standard 8.G.A.5; NJSLA-A Mathematics Blueprint, grade 8, reporting category Geometry
Triangle ABC is reflected across the y-axis and then translated 4 units down to make triangle DEF. What must be true?New Jersey Student Learning Standards for Mathematics (2023), grade 8, standard 8.G.A.2; NJSLA-A Mathematics Blueprint, grade 8, reporting category Geometry
Two parallel lines are cut by a transversal. Two same-side interior angles measure (2x)° and 76°. What is the value of x?New Jersey Student Learning Standards for Mathematics (2023), grade 8, standard 8.G.A.5; NJSLA-A Mathematics Blueprint, grade 8, reporting category Geometry
Two parallel lines are reflected across the x-axis. What is true of their images?New Jersey Student Learning Standards for Mathematics (2023), grade 8, standard 8.G.A.1c; NJSLA-A Mathematics Blueprint, grade 8, reporting category Geometry
Which set of side lengths makes a right triangle?New Jersey Student Learning Standards for Mathematics (2023), grade 8, standard 8.G.B.6; NJSLA-A Mathematics Blueprint, grade 8, reporting category Geometry
Functions and Statistics and Probability 13
A graph shows the water in a tub over time. The line rises steadily, stays flat, then falls quickly. Which story fits the graph?New Jersey Student Learning Standards for Mathematics (2023), grade 8, standard 8.F.B.5; NJSLA-A Mathematics Blueprint, grade 8, reporting category Functions and Statistics and Probability
A gym charges a joining fee and then the same amount each month. The total is $110 after 4 months and $200 after 10 months. What is the monthly charge?New Jersey Student Learning Standards for Mathematics (2023), grade 8, standard 8.F.B.4; NJSLA-A Mathematics Blueprint, grade 8, reporting category Functions and Statistics and Probability
A line of fit for a class is y = 4x + 61, where x is hours studied and y is the test score. What does the slope, 4, mean?New Jersey Student Learning Standards for Mathematics (2023), grade 8, standard 8.SP.A.3; NJSLA-A Mathematics Blueprint, grade 8, reporting category Functions and Statistics and Probability
A line of fit for a snack stand is y = 12x − 300, where x is the temperature in °F and y is the number of cones sold. How many cones does it predict at 80°F?New Jersey Student Learning Standards for Mathematics (2023), grade 8, standard 8.SP.A.3; NJSLA-A Mathematics Blueprint, grade 8, reporting category Functions and Statistics and Probability
A table pairs the x-values 2, 5, 5 and 9 with the y-values 1, 4, 7 and 8. Why is y not a function of x?New Jersey Student Learning Standards for Mathematics (2023), grade 8, standard 8.F.A.1; NJSLA-A Mathematics Blueprint, grade 8, reporting category Functions and Statistics and Probability
A tank holds 600 liters of water and drains 45 liters each minute. Which equation gives the liters left, L, after m minutes?New Jersey Student Learning Standards for Mathematics (2023), grade 8, standard 8.F.B.4; NJSLA-A Mathematics Blueprint, grade 8, reporting category Functions and Statistics and Probability
The cost of a taxi ride is modeled by y = 2.75x + 4, where x is the number of miles. What does the 4 stand for?New Jersey Student Learning Standards for Mathematics (2023), grade 8, standard 8.F.B.4; NJSLA-A Mathematics Blueprint, grade 8, reporting category Functions and Statistics and Probability
Four students each draw a straight line on the same scatter plot. Whose line is the best fit?New Jersey Student Learning Standards for Mathematics (2023), grade 8, standard 8.SP.A.2; NJSLA-A Mathematics Blueprint, grade 8, reporting category Functions and Statistics and Probability
Function A is y = 4x + 1. Function B is linear, and its table pairs x = 0, 2, 4 with y = 3, 9, 15. Which has the greater rate of change?New Jersey Student Learning Standards for Mathematics (2023), grade 8, standard 8.F.A.2; NJSLA-A Mathematics Blueprint, grade 8, reporting category Functions and Statistics and Probability
In a survey of 80 students, 50 ride a bus to school. Of those 50, 20 are also in a club. Of the 30 who do not ride a bus, 18 are in a club. Among students who ride a bus, what is the relative frequency of being in a club?New Jersey Student Learning Standards for Mathematics (2023), grade 8, standard 8.SP.A.4; NJSLA-A Mathematics Blueprint, grade 8, reporting category Functions and Statistics and Probability
On a scatter plot of height and arm span, the points lie close to a rising line, except one point far below all the rest. What is that point called?New Jersey Student Learning Standards for Mathematics (2023), grade 8, standard 8.SP.A.1; NJSLA-A Mathematics Blueprint, grade 8, reporting category Functions and Statistics and Probability
On a scatter plot of hours of practice and number of errors, the points fall from the upper left to the lower right. What kind of association is this?New Jersey Student Learning Standards for Mathematics (2023), grade 8, standard 8.SP.A.1; NJSLA-A Mathematics Blueprint, grade 8, reporting category Functions and Statistics and Probability
The points (1, 3), (2, 6) and (3, 11) are on the graph of a function. Is the function linear?New Jersey Student Learning Standards for Mathematics (2023), grade 8, standard 8.F.A.3; NJSLA-A Mathematics Blueprint, grade 8, reporting category Functions and Statistics and Probability
How this list was compiled: Outline: NJSLA-A Mathematics Blueprints, Grade 8 (New Jersey Department of Education), https://www.nj.gov/education/assessment/adaptive/mathblueprints.shtml, read 2026-10-13. Each question names the standard it practices in the 2023 New Jersey Student Learning Standards for Mathematics, Grade 8, https://www.nj.gov/education/standards/math/2023/8.shtml, read 2026-10-13. The grade 8 Number System and Expressions and Equations standards were compared with the Common Core State Standards, https://www.thecorestandards.org/Math/Content/8/NS/ and https://www.thecorestandards.org/Math/Content/8/EE/, read 2026-10-13. Every answer is arithmetic, algebra or geometry 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 NJSLA test, a PARCC test, a practice test of the state, a released item, an example printed in the standards or another practice test.
How it works
Unofficial practice for grade 8 mathematics on the New Jersey Student Learning Assessments-Adaptive (NJSLA-A). All 43 questions are our own, one for each item on the state blueprint. Not affiliated with the New Jersey Department of Education.
Read the full guide
What the grade 8 NJSLA math test covers
New Jersey's blueprint gives three reporting categories a least and a most out of 43 items, and this page stays inside each range. Expressions and Equations and the Number System has 15 questions: exponents, radicals, scientific notation, slope, linear equations and systems. Geometry has 15: transformations, congruence and similarity, angle facts, the Pythagorean Theorem and volume. Functions and Statistics and Probability has 13: linear functions, scatter plots, lines of fit and two-way tables. Each answer names its standard, such as 8.EE.C.7b.
Two New Jersey lines
New Jersey's 2023 standards hold two grade 8 lines the Common Core does not: simplifying square roots (8.EE.A.2b) and sums and products of rational and irrational numbers (8.NS.A.3). Both are practiced here.
Students must know the volume formulas for the cylinder, the cone and the sphere; the answers here are left in terms of π.
Questions and answers
How many questions are on the grade 8 NJSLA math test?
43 items, by New Jersey's blueprint. The test is adaptive, so each category has a range: 14 to 16 items on expressions, equations and the number system, 14 to 17 on geometry, and 12 to 15 on functions with statistics and probability.
How long is the NJSLA math test in grade 8?
150 minutes. The state's units testing times page gives mathematics a first and a second session of 75 minutes each.
Is there an NJSLA math practice test for grade 8 from the state?
Yes, free and online, on the New Jersey Assessments Portal: choose Practice Tests, continue as a guest and pick the grade. The state says its main purpose is getting used to the platform and its tools, not studying.
What score do you need to pass the grade 8 NJSLA math test?
The state reports an achievement level, which shows whether a student is meeting grade-level expectations, and results by reporting category. Its documents read for this page give no percent to pass.