7th Grade Common Core Math Practice Test Questions

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10 Sample 7th Grade Common Core Practice Test 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 Common Core Math Prep 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, \(3($200 + C) =5C ⇒ $600 + 3C = 5C ⇒ C=$300\)

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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Common Core Math Exercise Book for Grade 7 Student Workbook and Two Realistic Common Core Math Tests

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Frequently Asked Questions

How do you practice 7th grade math?

Practice 7th grade math in short, mixed sets that cover all five Common Core strands instead of one topic at a time. Work a few problems on proportions, negative numbers, equations, geometry and probability, then review each miss by naming the skill behind it. For example, if you miss a percent-decrease question, spend the next session on percent change before moving on.

Is there a 7th grade Common Core math practice test PDF?

Yes, many 7th grade Common Core practice tests can be printed or saved as PDFs, and your state’s testing website usually posts free practice tests too. A printed test works well for a timed, distraction-free session at the kitchen table. Afterward, check every answer and sort mistakes by strand, such as ratios (7.RP) or expressions and equations (7.EE).

What is on the 7th grade Common Core math test?

Seventh grade Common Core tests cover ratios and proportional relationships, operations with positive and negative rational numbers, expressions and equations, geometry such as circles, scale drawings and volume, and statistics and probability. Expect plenty of word problems. A typical item: a laptop’s price drops 10% to $360, so the original price is 360 ÷ 0.9 = $400.

What are the Common Core math standards for 7th grade?

The 7th grade standards are grouped into five domains: Ratios and Proportional Relationships (7.RP), The Number System (7.NS), Expressions and Equations (7.EE), Geometry (7.G), and Statistics and Probability (7.SP). The biggest new demand is fluency with negative numbers in all four operations, such as −3/4 ÷ 1/2 = −3/2, which then shows up inside equations and word problems.

What are examples of 7th grade Common Core math problems?

Here are three quick examples. A solution is 4% alcohol and holds 24 ml of alcohol, so the total volume is 24 ÷ 0.04 = 600 ml. The median of 4, 9, 13, 8, 15, 18 and 5 is 9, because 9 is in the middle once the numbers are sorted. To solve 3x − 7 = 11, add 7 and divide by 3 to get x = 6.

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 and lots of practice. For extra word-problem reps, Mastering Grade 7 Math Word Problems is a strong companion.