7th Grade PARCC Math FREE Sample Practice Questions
TL;DR: PARCC (the Partnership for Assessment of Readiness for College and Careers) has been retired in most states and replaced by state-specific tests, but the legacy item bank is still useful Common Core-aligned practice. For 7th grade math, the content covers proportional relationships, rational-number operations, two-step equations and inequalities, geometry (circles and prisms), and probability. These free sample questions help your 7th grader practice the same kind of problems.
Key takeaways:
- PARCC was a multi-state Common Core-aligned test; most states have transitioned to their own assessments (IAR in Illinois, NJSLA in New Jersey, etc.).
- PARCC-style items remain excellent practice for any Common Core-aligned 7th grade math test.
- Major topics: proportional reasoning, rational-number arithmetic, two-step equations, circle geometry, probability.
- Item types: multiple-choice, multi-select, drag-and-drop, fill-in.
- Calculator policy varies by successor test; PARCC originally split into non-calculator and calculator sections.
Start preparing your student for the 2026 PARCC 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.
The Absolute Best Book to Ace 7th Grade PARCC Math Test
10 Sample 7th Grade PARCC Math Practice Questions
1- A chemical solution contains \(4\%\) alcohol. If there is 24 ml of alcohol, what is the volume of the solution?
A. 240 ml
B. 480 ml
C. 600 ml
D. 1200 ml
2- The price of a laptop is decreased by \(10\%\) to $360. What is its original price?
A. 320
B. 380
C. 400
D. 450
3- What is the median of these numbers? \(4, 9, 13, 8, 15, 18, 5\)
A. 8
B. 9
C. 13
D. 15
4- Three times the price of a laptop is equal to five times the price of a computer. If the price of the laptop is $200 more than a computer, what is the price of the computer?
A. 300
B. 500
C. 800
D. 1500
5- What is the perimeter of a square that has an area of 595.36 feet?
6- Jason is 9 miles ahead of Joe running at 5.5 miles per hour and Joe is running at the speed of 7 miles per hour. How long does it take Joe to catch Jason?
A. 3 hours
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 PARCC Math Workbook Resource for 2026
Answers:
1- C
\(4\%\) of the volume of the solution is alcohol. Let \(x\) be the volume of the solution.
Then: \(4\% \space\) of \(\space x = 24 \space\) ml \(⇒ 0.04 x = 24 ⇒ x = 24 ÷ 0.04 = 600\)
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 lease \(5 × 75 = 375\)
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 \(2: x = 44\)
Looking for the best resource to help you succeed on the PARCC Grade 7 Math test?
The Best Books to Ace 7th Grade PARCC Math Test
Common Core Math Exercise Book for Grade 7 Student Workbook and Two Realistic Common Core Math Tests
Frequently Asked Questions
What is the PARCC test?
Partnership for Assessment of Readiness for College and Careers, a Common Core-aligned multi-state test originally given in 11 states. Most states have transitioned to their own assessments (IAR in Illinois, NJSLA in New Jersey, etc.).
Why are PARCC-style questions still useful?
Because Common Core-aligned 7th grade math standards are largely shared across the successor tests (IAR, NJSLA, etc.). PARCC’s item bank exercises the same content and similar question formats.
Which math topics matter most?
Proportional relationships, all four operations on rational numbers, two-step equations and inequalities, percent applications, geometry (circles, scale drawings, prisms), probability.
How is the constant of proportionality tested?
As a one-step calculation. You see a table or graph and compute k = y/x for any matched pair. Then y = kx is the equation.
How do I solve a two-step equation?
Undo operations in reverse order. For 6x – 7 = 17: add 7 (6x = 24), divide by 6 (x = 4). Always check.
How does compound-event probability work?
Use a sample space — list, table, or tree diagram — to count favorable and total outcomes. For independent events, multiply individual probabilities.
What is the area of a circle?
A = pi r^2. With r = 4: A = 16 pi ≈ 50.24 square units. Square the radius, not the diameter.
How do I find percent of a number?
Convert percent to decimal and multiply. 15% of 80 = 0.15 times 80 = 12.
How is scale drawing tested?
You are given a scale (e.g., 1 inch = 5 feet) and asked to find an actual length from a drawing length, or vice versa. Set up a proportion: drawing/actual = drawing/actual.
How should we prepare?
Take one full-length PARCC-style practice test in realistic conditions. Review every miss with the underlying concept named. Then focus on the 2-3 weakest topics.
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 for these questions, Mastering Grade 7 Math covers every Grade 7 standard. Mastering Grade 7 Math Word Problems is a strong companion.
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