7th Grade MCAS Math FREE Sample Practice Questions

10 Full Length North Carolina EOG Grade 7 Math Practice Tests The Practice You Need to Ace the North Carolina EOG Grade 7 Math Test

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Start preparing your student for the 2026 MCAS 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.

10 Sample 7th Grade MCAS 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 MCAS 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 laptop and C be the price of 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 square formula.
\(S = a^2 ⇒ 595.36 = a^2 ⇒ a = 24.4\)
Use the perimeter of square formula.
\(P = 4a ⇒ P=4(24.4) ⇒ P = 97.6\)

6- C
The distance between Jason and Joe is 9 miles. Jason 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 percent:
\(\frac{11}{55} ×100\%=20\%\)
20 percent of students failed. Therefore, 80 percent of students passed the exam.

8- 60
Jason needs an \(75\%\) 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 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 MCAS test?

The Massachusetts Comprehensive Assessment System (MCAS) is Massachusetts’ annual state test for ELA, math, and (in select grades) science. The 7th grade math portion aligns to the Massachusetts Curriculum Framework (closely tied to Common Core).

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

Proportional relationships, rational-number arithmetic, two-step equations, circle geometry (circumference and area), scale drawings, volume of prisms, and probability of simple and compound events.

How long is the 7th grade MCAS math test?

About 90-120 minutes split across two main sessions. The first is calculator-prohibited; later sessions allow the embedded online scientific calculator.

Are calculators allowed?

Partially. The first session is calculator-prohibited. Later sessions allow the basic scientific calculator built into the testing platform.

What is a passing score?

MCAS reports four achievement levels: Not Meeting Expectations, Partially Meeting, Meeting, and Exceeding. Meeting or Exceeding indicates grade-level proficiency.

How are constructed-response items scored?

On a rubric of partial credit. Students earn points for correct setup, correct work, and correct final answer. Always show every step.

How is the constant of proportionality tested?

Often as a one-step calculation. You see a table or graph and find k such that y = kx. Compute k = y/x for any matched pair.

Walk through a two-step inequality.

Solve 5x – 4 > 11. Add 4 to both sides: 5x > 15. Divide by 5: x > 3. Graph as an open circle at 3 with shading to the right.

What is the area of a circle?

A = pi r^2. With r = 4 and pi = 3.14: A = 3.14 times 16 = 50.24 square units. Square the radius, not the diameter.

How should we prepare?

Take one full-length MCAS-style practice test in realistic conditions. Review every wrong answer with the concept named. Target the 2-3 weakest topics with focused practice.

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, Mastering Grade 7 Math covers every Grade 7 standard with patient explanations. For more word-problem reps, Mastering Grade 7 Math Word Problems is a strong companion.