Forty-eight grade 8 questions weighted like New York's blueprint, heaviest on equations and geometry, each answer worked in steps.
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 48 questions. Share this set copies a link to the same questions in the same order.
Exam mode: 48 questions, no time limit.
Your totals on this device
0answered
0right
none yetpercent right
none yetbest exam score
Seen 0 of 48 questions
More options
Which questions to ask
Missed and Flagged fill up as you go.
Unofficial practice questions, not affiliated with the New York State Education Department. Bank checked October 9, 2026.
The real test: New York State math, grade 8
Questions
48
Time limit
None
Sessions
Two, on two days. Session 1: 32 multiple-choice questions, some of them field test questions. Session 2: 6 multiple-choice and 10 constructed-response.
Usual time
No limit. The guide estimates 80 to 90 minutes for Session 1 and 75 to 85 minutes for Session 2.
Blueprint
Expressions, Equations, and Inequalities 28 to 41%, Geometry 28 to 41%, Functions 16 to 25%, Statistics and Probability 4 to 11%, The Number System 2 to 9%.
A scientific calculator in both sessions; graphing calculators are not permitted. Each student has a ruler, a protractor and the grade 8 reference sheet.
Score levels, 2026
Level 1 379 to 435, Level 2 436 to 449, Level 3 450 to 481, Level 4 482 to 512. Level 3 is proficient.
Between which two whole numbers does √50 lie?New York State Next Generation Mathematics Learning Standards, standard NY-8.NS.2
What is the decimal expansion of 5/11?New York State Next Generation Mathematics Learning Standards, standard NY-8.NS.1
Which number is irrational?New York State Next Generation Mathematics Learning Standards, standard NY-8.NS.1
Expressions, Equations, and Inequalities 16
A line has a slope of −2 and crosses the y-axis at (0, 7). Which equation is the line?New York State Next Generation Mathematics Learning Standards, standard NY-8.EE.6
The graph of a proportional relationship is a line through (0, 0) and (4, 10). What is the unit rate?New York State Next Generation Mathematics Learning Standards, standard NY-8.EE.5
How many solutions does 4(x + 2) = 4x + 8 have?New York State Next Generation Mathematics Learning Standards, standard NY-8.EE.7a
How many solutions does 6x − 3 = 6x + 5 have?New York State Next Generation Mathematics Learning Standards, standard NY-8.EE.7a
One gym charges $60 to join plus $20 a month. Another charges $35 a month with no fee to join. After how many months is the total cost the same?New York State Next Generation Mathematics Learning Standards, standard NY-8.EE.7b
Show all 48 questions (40 more)
Expressions, Equations, and Inequalities, continued
Printer A prints 120 pages in 5 minutes. Printer B prints at the rate y = 22x, where y is pages and x is minutes. Which printer is faster?New York State Next Generation Mathematics Learning Standards, standard NY-8.EE.5
Solve for x: (2/3)x − 5 = 7New York State Next Generation Mathematics Learning Standards, standard NY-8.EE.7b
Solve for x: 3(x − 4) + 2x = 18New York State Next Generation Mathematics Learning Standards, standard NY-8.EE.7b
Solve for x: 5x + 9 = 2x − 12New York State Next Generation Mathematics Learning Standards, standard NY-8.EE.7b
What is the slope of the line through (2, 5) and (6, 13)?New York State Next Generation Mathematics Learning Standards, standard NY-8.EE.6
What is the value of 3⁵ × 3⁻²?New York State Next Generation Mathematics Learning Standards, standard NY-8.EE.1
What is the value of 4⁻²?New York State Next Generation Mathematics Learning Standards, standard NY-8.EE.1
What is the value of 5⁰ + 5⁻¹?New York State Next Generation Mathematics Learning Standards, standard NY-8.EE.1
What value of x makes x³ = 64 true?New York State Next Generation Mathematics Learning Standards, standard NY-8.EE.2
Which expression is equivalent to (2³)⁴?New York State Next Generation Mathematics Learning Standards, standard NY-8.EE.1
Which values of x make x² = 81 true?New York State Next Generation Mathematics Learning Standards, standard NY-8.EE.2
Functions 10
A candle's height in centimeters after x hours is y = 20 − 2x. What does the −2 mean?New York State Next Generation Mathematics Learning Standards, standard NY-8.F.4
A function rule is: multiply the input by 3, then subtract 4. What is the output when the input is 6?New York State Next Generation Mathematics Learning Standards, standard NY-8.F.1
A graph shows a bus's distance from the station over time. The line rises, then stays flat, then rises more steeply. What does the flat part show?New York State Next Generation Mathematics Learning Standards, standard NY-8.F.5
A linear function has the table x: 2, 4, 6 and y: 11, 17, 23. What are its initial value and its rate of change?New York State Next Generation Mathematics Learning Standards, standard NY-8.F.4
A plumber charges a $50 visit fee plus $30 for each hour of work. Which function gives the cost y for x hours?New York State Next Generation Mathematics Learning Standards, standard NY-8.F.4
A table has x: 1, 2, 3, 4 and y: 3, 6, 12, 24. Is the function linear?New York State Next Generation Mathematics Learning Standards, standard NY-8.F.3
Function A is y = 3x + 1. Function B has the table x: 0, 1, 2 and y: 5, 9, 13. Which function changes at the greater rate?New York State Next Generation Mathematics Learning Standards, standard NY-8.F.2
Water runs into an empty tank at a steady rate, and then the tap is shut off. Which graph of water height over time fits?New York State Next Generation Mathematics Learning Standards, standard NY-8.F.5
Which equation does NOT define a linear function?New York State Next Generation Mathematics Learning Standards, standard NY-8.F.3
Which set of ordered pairs is NOT a function?New York State Next Generation Mathematics Learning Standards, standard NY-8.F.1
Geometry 16
A circle has a diameter of 10 inches. What is its area in terms of π?New York State Next Generation Mathematics Learning Standards, standard NY-7.G.4, a grade 7 post-test standard assessed in grade 8
A cylinder has a radius of 3 cm and a height of 10 cm. What is its volume in terms of π?New York State Next Generation Mathematics Learning Standards, standard NY-8.G.9
A right triangle has legs of 9 cm and 12 cm. How long is the hypotenuse?New York State Next Generation Mathematics Learning Standards, standard NY-8.G.7
A sphere has a radius of 3 cm. What is its volume in terms of π?New York State Next Generation Mathematics Learning Standards, standard NY-8.G.9
A transversal cuts two parallel lines. One of the angles formed measures 115°. What is the measure of its alternate interior angle?New York State Next Generation Mathematics Learning Standards, standard NY-8.G.5
A trapezoid has bases of 8 m and 12 m and a height of 5 m. What is its area?New York State Next Generation Mathematics Learning Standards, standard NY-7.G.6, a grade 7 post-test standard assessed in grade 8
A triangle has a vertex at (5, 1). The triangle is translated 3 units left and 2 units up. Where is the image of that vertex?New York State Next Generation Mathematics Learning Standards, standard NY-8.G.3
In a triangle, two interior angles measure 50° and 72°. What is the measure of the exterior angle at the third vertex?New York State Next Generation Mathematics Learning Standards, standard NY-8.G.5
The point (3, 5) is rotated 90° counterclockwise about the origin. Where is its image?New York State Next Generation Mathematics Learning Standards, standard NY-8.G.3
The point (−3, 4) is dilated by a scale factor of 2 with the center at the origin. Where is its image?New York State Next Generation Mathematics Learning Standards, standard NY-8.G.3
Triangle A has angles of 40° and 60°. Triangle B has angles of 60° and 80°. Are the triangles similar?New York State Next Generation Mathematics Learning Standards, standard NY-8.G.5
Two angles are supplementary. One measures (2x + 10)° and the other measures 50°. What is x?New York State Next Generation Mathematics Learning Standards, standard NY-7.G.5, a grade 7 post-test standard assessed in grade 8
What is the distance between the points (1, 2) and (7, 10)?New York State Next Generation Mathematics Learning Standards, standard NY-8.G.8
Which side lengths form a right triangle?New York State Next Generation Mathematics Learning Standards, standard NY-8.G.6
Which three lengths can NOT be the sides of a triangle?New York State Next Generation Mathematics Learning Standards, standard NY-7.G.2, a grade 7 post-test standard assessed in grade 8
Which transformation does NOT always give a figure congruent to the original?New York State Next Generation Mathematics Learning Standards, standard NY-8.G.2
Statistics and Probability 3
A linear model for test scores is y = 2.5x + 40, where x is hours of study and y is the score. What does the slope mean?New York State Next Generation Mathematics Learning Standards, standard NY-8.SP.3
A scatter plot suggests a linear association. Which straight line is the best fit for the data?New York State Next Generation Mathematics Learning Standards, standard NY-8.SP.2
On a scatter plot of hours of practice and free throws made, the points rise from the lower left to the upper right. What kind of association is this?New York State Next Generation Mathematics Learning Standards, standard NY-8.SP.1
Forty-eight unofficial practice questions for eighth graders getting ready for New York's math test. All were written for this page and follow the state's Next Generation standards. This site is not affiliated with the New York State Education Department.
Read the full guide
What is on the grade 8 test
Equations and geometry carry the test. NYSED's educator guide sets each of those two domains at 28 to 41 percent of the questions and functions at 16 to 25. Scatter plots get 4 to 11 percent and irrational numbers 2 to 9. Two grade 8 topics, scientific notation and systems of two equations, are taught in May and June after testing, so none appear here. Circles, angle pairs, trapezoids and triangle side lengths from late grade 7 are tested in grade 8, and four questions cover them.
Under each answer
The explanation works the problem line by line, and the standard code follows it, for example NY-8.G.7 on a Pythagorean Theorem question. Every result was computed a second time.
Grade 8 students may use a scientific calculator in both sessions, and the reference sheet prints the volume formulas for cylinders, cones and spheres.
Questions and answers
How many questions are on the NYS math exam in grade 8?
The grade 8 design has 48: 38 multiple choice and 10 constructed response. Day one is 32 multiple-choice questions, some of them unscored field test questions. Day two has the last 6 multiple-choice questions and all the constructed-response ones.
How should 8th grade NYS math test practice be timed?
Loosely. The real test has no time limit; a student may work for as long as the school day allows. NYSED's estimate for grade 8 is 80 to 90 minutes on day one and 75 to 85 on day two.
Are calculators allowed on the grade 8 New York State math test?
Yes, in both sessions: a scientific calculator, never a graphing one. Students who test on a computer also get a calculator inside the testing program. A ruler, a protractor and the grade 8 reference sheet are part of the test too.
Where are the state's own NYS math exam practice test questions for grade 8?
NYSED releases questions from past grades 3 to 8 tests; the link is in the box below the questions. Nothing on this page comes from those releases. These 48 questions are original practice in the same domains.
What do the four levels on the grade 8 math score report mean?
Level 1 is below proficient, Level 2 partially proficient, Level 3 proficient and Level 4 excelling. In 2026 a grade 8 mathematics scale score of 450 to 481 was Level 3. A percent on practice questions is not a scale score.