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

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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

How can I practice 7th grade math?

Practice 7th grade math in short, mixed sessions of 20-30 minutes a few times a week, combining proportions, negative numbers, equations and geometry rather than drilling one topic. For New York students, use sets that look like the NYS test, with both multiple-choice and written-response items. After each set, redo every missed problem and name the rule that slipped, such as squaring the radius for a circle’s area.

What is on the NYSED grade 7 math test?

The New York State grade 7 math test from NYSED is aligned to the Next Generation Mathematics Learning Standards. It covers ratios and proportional relationships, operations with positive and negative rational numbers, expressions and equations, geometry such as circles, scale drawings and prisms, and statistics and probability. Questions include multiple-choice items and constructed-response items where students show their work for partial credit.

Is there a NYS math practice test for grade 7?

Yes. NYSED publishes released questions from past grade 7 math tests, along with scoring guides that show how written answers earn credit. These are the most realistic practice available. Have your 7th grader work a set under timed conditions, then compare their written responses with the sample answers, paying attention to how much work needs to be shown on multi-step problems.

Is there a NYS 7th grade math test PDF?

Yes, NYSED posts its released grade 7 math questions as PDFs, so you can print them for paper practice. Many New York schools now give the test on computer, so mix printed work with some on-screen practice. A PDF is handy for problems like finding the area of a circle with radius 7: A = π × 7² ≈ 3.14 × 49 = 153.86 square units.

What kind of questions are on the NYS 7th grade math test?

Expect multiple-choice questions plus short and extended constructed-response items where your child shows the steps. A typical item gives prices in a table, asks for the constant of proportionality, then asks for a missing cost. If 3 notebooks cost $7.50, k = 7.50 ÷ 3 = 2.50, so 8 notebooks cost 8 × 2.50 = $20. Written answers can earn partial credit, so showing each step counts.

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.