Top 10 8th Grade SBAC Math Practice Questions

1- A rope weighs \(600\) grams per meter of length. What is the weight, in kilograms, of \(12.2\) meters of this rope? (\(1\) kilogram = \(1{,}000\) grams)

A. \(0.732\)

B. \(73.2\)

C. \(7.32\)

D. \(732\)

2- In a school the ratio of boys to girls is \(3:7\). If there are \(180\) boys in the school, what is the total number of students in the school?_________

3- A city’s population increased by \(15\%\) in the first year and by \(20\%\) in the second year. What is the total percent increase in the population over the two years?

A. \(35\%\)

B. \(37\%\)

C. \(38\%\)

D. \(40\%\)

4- Which of the following best describes a non-proportional linear relationship?

A.

B.

C.

D.

5- In the rectangle below if \(y>5\) cm and the area of a rectangle is 50 cm\(^2\) and the perimeter of the rectangle is 30 cm, what is the value of x and y respectively?

A. \(4, 11\)

B. \(5, 11\)

C. \(5, 10\)

D. \(4, 10\)

6- A football team had $40,000 to spend on supplies. The team spent $22,000 on new balls. New sports shoes cost $240 each. Which of the following inequalities represent how many new shoes the team can purchase.

A. \(240x+22,000 ≤40,000 \)

B. \(240x+22,000 ≥40,000\)

C. \(22,000x+240 ≤40,000\)

D. \(22,000x+240 ≥40,000\)

7- Right triangle ABC has two legs of lengths 6 cm (AB) and 8 cm (AC). What is the length of the third side (BC)?

A. 4 cm

B. 6 cm

C. 8 cm

D. 10 cm

8- If \(3x-5=8.5\), What is the value of \(5x+3\)?

A. 13

B. 15.5

C. 20.5

D. 25.5

9- A bank is offering \(4.5\%\) simple interest on a savings account. If you deposit $8,000, how much interest will you earn in five years?

A. $360

B. $720

C. $1800

D. $3600

10- In a party, 10 soft drinks are required for every 12 guests. If there are 252 guests, how many soft drinks is required?

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A. 21

B. 105

C. 210

D. 2510

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Answers:

2- 600
The ratio of boys to girls is \(3:7\).
Therefore, there are 3 boys out of 10 students. To find the answer, first, divide the number of boys by 3, then multiply the result by 10.
\(180 ÷ 3 = 60 ⇒ 60 × 10 = 600\)

3- C
the population is increased by \(15\%\) and \(20\%\). \(15\%\) increase changes the population to \(115\%\) of the original population.
For the second increase, multiply the result by \(120\%\).
\((1.15) × (1.20) = 1.38 = 138\%\)
38 percent of the population is increased after two years.

4- B
A linear equation is a relationship between two variables, \(x\) and \(y\), that can be put in the form \(y = mx + b\).
A non-proportional linear relationship takes on the form \(y = mx + b\), where \(b ≠ 0\) and its graph is a line that does not cross through the origin.

5- C
The perimeter of the rectangle is: \(2x+2y=30→x+y=15→x=15-y \)
The area of the rectangle is: \(x×y=50→(15-y)(y)=50→y^2-15y+50=0\)
Solve the quadratic equation by factoring method.
\((y-5)(y-10)=0→y=5 \)
(Unacceptable, because y must be greater than 5) or \(y=10\)
If \( y=10 →x×y=50→x×10=50→x=5\)

6- A
Let \(x) be the number of new shoes the team can purchase. Therefore, the team can purchase \(240 x\).
The team had $40,000 and spent $22,000. Now the team can spend on new shoes $18,000 at most.
Now, write the inequality: \( 120x+22.000 ≤40.000\)

7- D
Use Pythagorean Theorem:
\(a^2 + b^2 = c^2\)
\(6^2 + 8^2 = c^2 ⇒ 100 = c^2 ⇒ c = 10\)

8- D
\(3x-5=8.5→3x=8.5 + 5=13.5→x = \frac{13.5}{3}= 4.5\)
Then;
\(5x+3=5 (4.5)+3=22.5+3=25.5\)

9- C
Use simple interest formula:
\(I=prt\)
\((I = interest, p = principal, r = rate, t = time)\)
\(I=(8000)(0.045)(5)=1800\)

10- C
Let x be the number of soft drinks for 252 guests. Write the proportion and solve for \(x\).
\(\frac{10 soft drinks}{12 guests}=\frac{x}{252 guests}\)
\(x = \frac{252×10}{12}⇒x=210\)

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Recommended EffortlessMath Books

For a complete review aligned with these practice questions, Mastering Grade 8 Math covers every eighth-grade topic with worked examples and plenty of practice. If linear functions, systems, or the Pythagorean Theorem feel shaky, Algebra I for Beginners takes the same ideas further into high-school algebra.

Frequently Asked Questions

What does the SBAC Grade 8 math test cover?

SBAC Grade 8 math covers the Number System (rational and irrational numbers), Expressions and Equations (linear equations, systems, exponents), Functions, Geometry (Pythagorean Theorem, volume, transformations), and Statistics and Probability (bivariate data). At grade 8, the heaviest content strands are linear functions, systems of equations, exponents and scientific notation, the Pythagorean Theorem, and scatter plots / two-way tables. The 10 practice questions on this page sample across those strands so you can see where your skills are strong and where you need a few more reps.

How long is the SBAC math test for 8th-grade students?

The SBAC Grade 8 math test is computer-adaptive and runs about 2 to 2.5 hours total across multiple sessions, with item difficulty adjusting based on how you’re doing. Plan to pace yourself – skip a problem and come back rather than burning five minutes on one tough question. The 10 practice items here are short enough to do in one sitting (about 20-25 minutes) and they mirror the kinds of items you’ll see on the real test.

Are these 8th-grade practice questions free?

Yes – every practice question on this page is free, with a worked solution. No login, no email, no paywall. Print the page or work through it on screen. If you find these helpful, share the link with a classmate or your teacher – it’s the best free way to sample the test format.

What’s the best way to study for the SBAC Grade 8 math test?

For SBAC specifically, practice the performance task – it’s the longest item and asks you to show work across multiple steps, which is where many students lose points. The general rule for middle school: 20-30 minutes a day, four or five days a week, beats a weekend cram. Mix topic practice (one skill at a time) with mixed practice (random topics in one sitting). The mixed sets are closer to how the real test feels.

What if I can’t solve some of these practice questions?

That’s normal – one of the points of practice is finding gaps. When you miss a question, read the worked solution slowly. Then redo the problem on a fresh sheet without looking. If a whole topic feels hard, drop back to the basics first – it’s faster to fill a gap than to push through frustration. The Related Lessons below cover the 8th-grade skills students miss most.

Are calculators allowed on the SBAC math test?

For most state 8th-grade math tests, a calculator is allowed on part of the test but not on the section that tests basic computation. Check your state’s policy on the official SBAC page. The 10 questions here can be solved with pencil and paper – we recommend practicing both with and without a calculator so you’re ready either way.

How many questions are on the real SBAC Grade 8 math test?

It varies by state and year, but most 8th-grade state tests have 40-60 math questions total, often split across two sessions. The 10 sample questions here are a representative slice – if you’re getting 8 or more right and showing solid work, you’re tracking well for the real test.

What item types appear on SBAC Grade 8 math?

Multiple choice is most common, but you’ll also see multi-select (“choose all that apply”), fill-in-the-blank, drag-and-drop, equation builders, and short open-response items where you show work. The practice questions on this page mostly use multiple choice, but the underlying math is the same across item types.

How can parents help a 8th-grade student prepare in SBAC states?

Two things matter most: steady practice (not last-minute cramming) and going through wrong answers together. Ask your child to explain each step out loud – hearing themselves explain often catches the slip. Don’t drill speed at the expense of accuracy; accuracy with reasonable pace is what the test rewards.

Where do I get more 8th-grade math practice?

EffortlessMath has full-length practice tests, topic-by-topic worksheets, and step-by-step lessons for every 8th-grade math skill. The Related Lessons below cover the topics students miss most on SBAC. For a complete workbook, the Mastering Grade 8 Math book walks through every standard with worked examples and answer keys.

Related EffortlessMath Lessons

If a topic on this page feels rusty, these short lessons go deeper:

• How to solve multi-step equations
• How to find the slope of a line
• How to graph linear equations
• How to use the Pythagorean Theorem
• How to evaluate functions