7th Grade NYSE Math FREE Sample Practice Questions

Practicing is undoubtedly the most important factor for success in the 7th Grade NYSE Math test! If your 7th-grade student needs sample practice questions to succeed in the 7th-grade NYSE Math exam, you have found the best article! In this article, we want to acquaint your students with the best 7th Grade NYSE Math sample practice questions. Also, the solutions to all the questions are given in the article so that the students become familiar with how to solve the questions.

Start preparing your student for the 2026 NYSE Math test with our free sample practice questions. Also, make sure to follow some of the related links at the bottom of this post to get a better idea of what kind of mathematics questions students need to practice.

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B. 4 hours

C. 6 hours

D. 8 hours

7- 55 students took an exam, and 11 of them failed. What percent of the students passed the exam?

A. \(20 \%\)

B. \(40 \%\)

C. \(60 \%\)

D. \(80 \%\)

8- Jason needs an \(75\%\) average in his writing class to pass. On his first 4 exams, he earned scores of \(68\%, 72\%, 85\%,\) and \(90\%\). What is the minimum score Jason can earn on his fifth and final test to pass?

9- 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

10- 5 less than twice a positive integer is 83. What is the integer?

A. 39

B. 41

C. 42

D. 44

Best 7th Grade NYSE Math Workbook Resource for 2026

Answers:

2- C
Let \(x\) be the original price.
If the price of a laptop is decreased by \(10\%\) to $360, then:
\(90 \% \)of \(x=360 ⇒ 0.90x=360 ⇒ x=360÷0.90=400\)

3- B
Write the numbers in order:
\(4, 5, 8, 9, 13, 15, 18\)
Since we have 7 numbers (7 is odd), then the median is the number in the middle, which is 9.

4- A
Let L be the price of a laptop and C be the price of a computer.
\(3\)(L) \(=5\)(C) \(\space\) and \(\space\) L \(= $200 +\) C
Therefore, \(3($200 +\) C\()=5\)C \(⇒ $600 + 3\)C \(= 5\)C \(⇒\) C\(=$300\)

5- 97.6
Use the area of a square formula.
\(S = a^2 ⇒ 595.36 = a^2 ⇒ a = 24.4\)
Use the perimeter of a square formula.
\(P = 4a ⇒ P=4(24.4) ⇒ P = 97.6\)

6- C
The distance between Jason and Joe is 9 miles. Jason is running at 5.5 miles per hour, and Joe is running at the speed of 7 miles per hour. Therefore, every hour, the distance is 1.5 miles less.
\(9 ÷ 1.5 = 6\)

7- D
The failing rate is 11 out of \(55 = \frac{11}{55}\).
Change the fraction to a percent:
\(\frac{11}{55} ×100\%=20\%\)
20 percent of students failed. Therefore, 80 percent of students passed the exam.

8- 60
Jason needs a \(75\%\) average to pass for five exams. Therefore, the sum of 5 exams must be at least \(5 × 75 = 375\)
The sum of 4 exams is:
\(68 + 72 + 85 + 90 = 315\)
The minimum score Jason can earn on his fifth and final test to pass is:
\(375 – 315 = 60\)

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

10- D
Let \(x\) be the integer. Then:
\(2x – 5 = 83\)
Add 5 both sides: \(2x = 88\)
Divide both sides by \(2: x = 44\)

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Frequently Asked Questions

What is the NYSTP test?

The New York State Testing Program (NYSTP) is the state’s annual end-of-year assessment for ELA and math in grades 3-8. It is aligned to New York’s Next Generation Learning Standards, which are a state-specific adaptation of the Common Core.

Which math topics show up most on the 7th grade NYS math test?

Proportional relationships, all four operations on rational numbers (positive and negative), two-step equations and inequalities, percent of change, scale drawings, circumference and area of circles, volume of prisms, and probability of simple and compound events.

How long is the 7th grade NYS math test?

About 70-90 minutes per session, split across two days. The first session has both multiple-choice and constructed-response items; the second day adds extended constructed-response.

Are calculators allowed on the 7th grade NYS test?

Yes — a scientific calculator is allowed for the entire 7th grade math test. Schools provide the calculator; students should practice with the model used by their school before test day.

What is the passing score?

New York reports four performance levels: Level 1 (Not Proficient), Level 2 (Partially Proficient), Level 3 (Proficient), and Level 4 (Excels). Level 3 and above are considered on grade level.

How are constructed-response items scored?

On a rubric of partial credit, typically 0-2 or 0-3 points. Students earn points for correct setup, correct work, and a correct final answer. Always show every step — partial credit is real money on these items.

How do I find the surface area of a rectangular prism?

Add the areas of all six faces. For a prism with length l, width w, and height h: SA = 2lw + 2lh + 2wh. The formula reflects the three pairs of identical opposite faces.

How is the area of a circle calculated?

A = pi r^2, where r is the radius. With r = 7 and using pi = 3.14: A = 3.14 times 49 = 153.86 square units. The most common mistake is squaring the diameter instead of the radius.

How do I solve a proportional relationship problem?

Find the constant of proportionality k by dividing y by x for any matched pair. The equation is y = kx. To find a missing value, plug into the equation. Example: y = 5x, missing y at x = 8 gives y = 40.

How should we prepare for the NYS math test?

Take a full-length practice test in realistic conditions. Score it. For every wrong answer, name the underlying concept. Then target the 2-3 weakest topics with focused practice — broader drilling is less efficient.

Related Lessons You May Like

• How to add and subtract integers
• How to solve proportional ratios
• How to solve percent of change
• How to solve one-step equations
• How to solve multi-step word problems

If you want a workbook that lines up with these questions one chapter at a time, Mastering Grade 7 Math covers every Grade 7 standard with patient explanations. For extra word-problem reps, Mastering Grade 7 Math Word Problems is a strong companion.