FREE 8th Grade NYSE Math Practice Test

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10 Sample 8th Grade NYSE Math Practice Questions

1- What is the slope of a line that is perpendicular to the line
\(4x-2y=12\)?

A. 2

B. 1

C. \(-2\)

D. \(-\frac{1}{2}\)

2- The diagonal of a rectangle is 10 inches long and the height of the rectangle is 8 inches. What is the perimeter of the rectangle in inches?

3- You can buy 5 cans of green beans at a supermarket for $3.40. How much does it cost to buy 35 cans of green beans?

A. $17

B. $23.80

C. $34.00

D. $119

4- Which of the following is the solution of the following inequality?
\(2x+4>11x-12.5-3.5x\)

A. \(x<3\)

B. \(x>3\)

C. \(x≤4\)

D. \(x≥4\)

5- What is the perimeter of a square that has an area of 595.36 feet?

6- A tree 32 feet tall casts a shadow 12 feet long. Jack is 6 feet tall. How long is Jack’s shadow?

A. 2.25 ft

B. 4 ft

C. 4.25 ft

D. 8 ft

7- The perimeter of the trapezoid below is 54 cm. What is its area?

8- Which graph does not represent \(y\) as a function of \(x\)?

A.

B.

C.

D.

9- Which of the following is equivalent to \(13<-3x-2<22\)?

A. \( -8 < x < -5\)

B. \( 5 < x < 8\)

C. \(\frac{11}{3} < x < \frac{20}{3}\)

D. \(\frac{-20}{3} < x < \frac{-11}{3}\)

10- In a certain bookshelf of a library, there are 35 biology books, 95 history books, and 80 language books. What is the ratio of the number of biology books to the total number of books in this bookshelf?

A. \(\frac{1}{4}\)

B. \(\frac{1}{6}\)

C. \(\frac{2}{7}\)

D. \(\frac{3}{8}\)

11- A bank is offering \(3.5\%\) simple interest on a savings account. If you deposit $12,000, how much interest will you earn in two years?

A. $420

B. $840

C. $4200

D. $8400

12- The area of a circle is \(64 π\). What is the circumference of the circle?

A. \(8 π\)

B. \(16 π\)

C. \(32 π\)

D. \(64 π\)

13- A shirt costing $200 is discounted \(15\%\). After a month, the shirt is discounted another \(15\%\). Which of the following expressions can be used to find the selling price of the shirt?

A. \((200) (0.70)\)

B. \((200) – 200 (0.30)\)

C. \((200) (0.15) – (200) (0.15)\)

D. \((200) (0.85) (0.85)\)

14- Joe scored 20 out of 25 marks in Algebra, 30 out of 40 marks in science, and 68 out of 80 marks in mathematics. In which subject his percentage of marks is best?

A. Algebra

B. Science

C. Mathematics

D. Algebra and Science

15- What is the volume of the following triangular prism?

16- The marked price of a computer is D dollar. Its price decreased by \(20\%\) in January and later increased by \(10\%\) in February. What is the final price of the computer in D dollars?

A. 0.80 D

B. 0.88 D

C. 0.90 D

D. 1.20 D

17- Triangle ABC is graphed on a coordinate grid with vertices at A \((–3, –2)\), B \((–1, 4)\) and C \((7, 9)\). Triangle ABC is reflected over\( x\) axes to create triangle A’ B’ C’.
Which order pair represents the coordinate of C’?

A. \((7, 9)\)

B. \((–7, –9)\)

C. \((–7, 9)\)

D. \((7, –9)\)

18-

What’s the maximum ratio of women to men in the four cities?

A. 0.98

B. 0.97

C. 0.96

D. 0.95

19-

What’s the ratio of the percentage of men in City A to the percentage of women in City C?

A. 0.9

B. 0.95

C. 1

D. 1.05

20-

A container holds 3.5 gallons of water when it is \(\frac{7}{24}\) full. How many gallons of water does the container hold when it’s full?

A. 8

B. 12

C. 16

D. 20

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Answers:

2- 28

Let\( x\) be the width of the rectangle. Use Pythagorean Theorem:
\(a^2 + b^2 = c^2\)
\(x^2 + 8^2 = 10^2 {\Rightarrow} x^2 + 64 = 100 {\Rightarrow} x^2 = 100 – 64 = 36 ⇒ x = 6\)
Perimeter of the rectangle =\( 2 (length + width) = 2 (8 + 6) = 2 (14) = 28\)

3- B
Let \(x\) be the number of cans. Write the proportion and solve for \(x\).
\(\frac{5 \space cans}{$ 3.40}=\frac{35 \space cans}{x}\)
\(x =\frac{3.40×35}{5}⇒x=$23.8\)

4- A
\(2x+4>11x-12.5-3.5x\)→ Combine like terms:
\(2x+4>7.5x-12.5→\) Subtract \(2x\) from both sides: \(4>5.5x-12.5\)
Add 12.5 on both sides of the inequality.
\(16.5>5.5x, \)
Divide both sides by 5.5.
\(\frac{16.5}{5}>x→x<3\)

5- 97.6
Area of a square: \(S = a^2 ⇒ 595.36 = a^2 ⇒ a = 24.4\)
Perimeter of a square: \(P = 4a ⇒ P = 4 × 24.4 ⇒ P = 97.6\)

6- A
Write the proportion and solve for the missing number.
\(\frac{32}{12}=\frac{6}{x}→ 32x=6×12=72 \)
\(32x=72→x=\frac{72}{32}=2.25\)

7- 130
The perimeter of the trapezoid is 54 cm.
Therefore, the missing side (high) is \( 54 – 18 – 12 – 14 = 10\)
Area of a trapezoid: \(A = \frac{1}{2} h (b_1 + b_2) = \frac{1}{2} (10) (12 + 14) = 130\)

8- C
A graph represents \(y\) as a function of \(x\) if
\(x_1=x_2→y_1=y_2 \)
In choice C, for each \(x\), we have two different values for \(y\).

9- A
\(13<-3x-2<22\)→ Add 2 to all sides. \(13+2<-3x-2+2<22+2\)
\(→15<-3x<24\)→ Divide all sides by \(- 3\). (Remember that when you divide all sides of an inequality by a negative number, the inequality sign will be swapped. < becomes >)
\(\frac{15}{-3} > \frac{-3x}{3} >\frac{24}{-3} \)
\(-8 < x < -5\)

10- B
Number of biology books: 35
Total number of books; \(35+95+80=210\)
The ratio of the number of biology books to the total number of books is: \(\frac{35}{210}=\frac{1}{6}\)

11- B
Use a simple interest formula:
I=prt
(I = interest, p = principal, r = rate, t = time)
\(I=(12000)(0.035)(2)=840\)

12- B
Use the formula for the area of circles.
Area \(= πr^2 ⇒ 64 π = πr^2 ⇒ 64 = r^2 ⇒ r = 8\)
The radius of the circle is 8. Now, use the circumference formula:
Circumference\( = 2πr = 2π (8) = 16 π\)

13- D
To find the discount, multiply the number by (\(100\% -\) rate of discount).
Therefore, for the first discount we get: \((200) (100\% – 15\%) = (200) (0.85)\)
For the next \(15\%\) discount: \((200) (0.85) (0.85)\)

14- C
Compare each mark:
In Algebra Joe scored 20 out of 25 in Algebra. It means Joe scored \(80\%\) of the total mark.
\(\frac{20}{25}=\frac{x}{100}⇒x= 80%\)
Joe scored 30 out of 40 in science. It means Joe scored \(75\%\) of the total mark.
\(\frac{30}{40}=\frac{x}{100}⇒x= 75%\)
Joe scored 68 out of 80 in mathematics which means \(85\%\) of the total mark.
\(\frac{68}{80}=\frac{x}{100}⇒x= 85%\)
Therefore, his score in mathematics is higher than his other scores.

15- 12
Use the volume of the triangular prism formula.
\(V =\frac{1}{2} (length) (base) (high)\)
\(V = \frac{1}{2} × 4 × 3 × 2 ⇒ V = 12 \space m^3\)

16- B
To find the discount, multiply the price by (\(100\% -\) rate of discount).
Therefore, for the first discount we get: \((D) (100\% – 20\%) = (D) (0.80) = 0.80 D\)
To increase the \(10 \%: (0.80 D) (100\% + 10\%) = (0.85 D) (1.10) = 0.88 D = 88\%\) of \(D\)

17- D
When a point is reflected over \(x\) axes, the \((y)\) coordinate of that point changes to \((-y)\) while its \(x\) coordinate remains the same.
\(C (7, 9) → C’ (7, -9)\)

18- B
Ratio of women to men in city A: \(\frac{570}{600}=0.95\)
Ratio of women to men in city B: \(\frac{291}{300}=0.97 \)
Ratio of women to men in city C: \(\frac{665}{700}=0.95\)
Ratio of women to men in city D: \(\frac{528}{550}=0.96 \)

19- D
Percentage of men in city \(A = \frac{600}{1170}×100=51.28% \)
Percentage of women in city \(C = \frac{665}{1365}×100=48.72% \)
Percentage of men in city \(A\) to percentage of women in city \(C =\frac{51.28}{48.72}=1.05 \)

20- B
let \(x\) be the number of gallons of water the container holds when it is full.
Then;\(\frac{7}{24}x=3.5→x=\frac{24×3.5}{7}=12\)

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Recommended EffortlessMath Books

To follow this practice test with a structured workbook, the Mastering Grade 8 Math walks through every Next Generation standard with worked examples. For more timed practice in the real NYSE format, see the 10 Full-Length Grade 8 Math Practice Tests.

Frequently Asked Questions

How many questions are on the 8th Grade NYSE Math test?

The operational New York State Grade 8 Math test has about 40-44 multiple-choice and short-response questions split across two sessions. This free practice has 20 sample questions — enough to show your student the question types and difficulty without burning a whole afternoon.

How long is the 8th Grade NYSE Math test?

NYSED schedules two testing sessions of roughly 80-90 minutes each. Most students finish well within the time, since the state doesn’t strictly time individual questions. For this 20-question practice set, give your student about 30-40 minutes to simulate honest pacing.

Is a calculator allowed on the NYSE Grade 8 Math test?

Yes. A four-function calculator with square root and percent is permitted for all sessions of the Grade 8 Math test. Scientific and graphing calculators are NOT allowed. Your student should practice with the same type of calculator they’ll use on test day.

How is the NYSE Grade 8 Math test scored?

Raw scores convert to a scaled score from roughly 470 to 825. Those scaled scores map to four performance levels: Level 1 (below standard), Level 2 (partially meets), Level 3 (meets), and Level 4 (exceeds). Most middle schools target Level 3 or higher.

What topics are on the 8th Grade NYSE Math test?

Expressions and equations (about 27%), functions (about 20%), geometry (about 25%), the number system (about 5%), and statistics and probability (about 13%). Specific focus areas: linear equations and systems, slope and y-intercept, the Pythagorean theorem, volume of cylinders/cones/spheres, transformations, and scatter plots.

Can my student retake the NYSE Grade 8 Math test?

The state test is given once per spring. There’s no individual retake — students take it again the following year at the next grade level. If your district allows it, students can take a make-up during the official testing window if they missed the original date due to absence.

How long should we study for the 8th Grade NYSE Math test?

If your student already does well on weekly math tests, 3-4 weeks of light review (15-20 minutes a day) is usually enough. If grades have been shaky, plan 8-10 weeks at 25-30 minutes per day. Start with this practice test to see which topics need the most work.

Is the NYSE Grade 8 Math aligned to Common Core?

New York retired the Common Core branding and moved to the Next Generation Learning Standards starting with the 2022-23 testing cycle. The grade 8 content is still very close to CCSS 8.EE, 8.F, 8.G, 8.NS, and 8.SP, with some New York-specific wording changes around fluency and modeling.

What’s a good 8th Grade NYSE Math practice schedule?

Week 1: take this practice test, review every wrong answer, list the weak topics. Weeks 2-4: drill those specific topics 20 minutes a day using the EffortlessMath grade 8 lessons. Final week: take a full timed practice test, review, and rest the day before.

Where can I find more 8th Grade NYSE practice?

EffortlessMath has step-by-step lessons for every grade 8 Next Generation standard, plus the New York State Grade 8 math workbook and a full test-prep bundle with multiple full-length practice tests.

Related EffortlessMath Lessons

If a topic on this page feels rusty, these short lessons go deeper:

• How to find the slope of a line
• How to use the Pythagorean theorem
• How to solve linear equations
• Rules of exponents
• Order of operations (PEMDAS)