FREE SSAT Middle Level Math Practice Test

Interactive SSAT Middle Level Math Practice Test (Timed, 50 Questions)

Take our free, full-length SSAT Middle Level Quantitative (Math) practice test below. It mirrors the real exam: two sections of 25 questions (50 total) in 60 minutes, no calculator, with the SSAT guessing penalty built into the score. You’ll get an estimated 440–710 Quantitative score, full step-by-step explanations, and a personalized study plan. Scroll down for more practice and tips.

For this practice test, we’ve selected 20 real questions from past exams for your SSAT Middle-Level Practice test. You will have the chance to try out the most common SSAT Middle-Level Math questions. For every question, there is an in-depth explanation of how to solve the question and how to avoid mistakes next time.

Use our free SSAT Middle-Level Math practice tests and study resources (updated for 2026) to ace the SSAT Middle-Level Math test! 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 you need to practice.

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1- If \(\frac{x}{x-2}=\frac{4}{5}\), what is the value of \(x-5\)?

A. \(-13\)

B. \(-8\)

C. \(-3\)

D. \(5\)

E. \(13\)

2- An employer pays a base salary of \($7{,}000\) per month plus a commission of \(3\%\) on all sales. If \(x\) represents the total sales for the month, which of the following represents the employer’s monthly revenue?

A. \(0.3x+7{,}000\)

B. \(0.03x-7{,}000\)

C. \(0.03x+7{,}000\)

D. \(3x+7{,}000\)

E. \(7{,}000x+0.03\)

3- A library shelf has \(35\) biology books, \(85\) chemistry books, and \(90\) physics books. What is the ratio of biology books to the total number of books on the shelf?

A. \(\frac{1}{4}\)

B. \(\frac{1}{6}\)

C. \(\frac{1}{5}\)

D. \(\frac{1}{3}\)

E. \(\frac{2}{7}\)

4- If \(5{,}000+A-200=7{,}400\), then \(A=\)

A. \(200\)

B. \(1{,}200\)

C. \(2{,}200\)

D. \(2{,}600\)

E. \(3{,}000\)

5- Daniel spends \(22\%\) of his monthly expenses, which is \($770\), on food. If he spends \(27\%\) of his monthly expenses on rent, how much does he pay for rent?

A. \($630\)

B. \($720\)

C. \($810\)

D. \($900\)

E. \($945\)

6- If \(5M+3=5\), then M equals to ….

A. 2

B. 4

C. \(\frac{2}{5}\)

D. 6

E. \(\frac{1}{3}\)

7- Which of the following is equal to \(\frac{52.6}{100}\)?

A. \(52.6\)

B. \(5.26\)

C. \(526.0\)

D. \(0.0526\)

E. \(0.526\)

8- In the following figure, point \(Q\) lies on line \(A\), what is the value of \(y\) if \(x=28\)? (Figure is not drawn to scale)
\(\)

A. \(32\)

B. \(37\)

C. \(42\)

D. \(45\)

E. \(45\)

9- A container holds \(2.5\) gallons of water when it is \(\frac{5}{24}\) full. How many gallons of water does the container hold when it’s full?

A. \(8\)

B. \(12\)

C. \(16\)

D. \(20\)

E. \(30\)

10- At a Zoo, the ratio of lions to tigers is \(3\) to \(1\). Which of the following could NOT be the total number of lions and tigers in the zoo?

A. \(64\)

B. \(80\)

C. \(98\)

D. \(104\)

E. \(160\)

11- If \(x\) is greater than \(18\), then \(\frac{1}{3}\) of \(x\) must be…

A. Greater than \(3\)

B. Greater than \(6\)

C. Equal to \(6\)

D. Equal to \(3\)

E . Less than \(3\)

12- How long does a \(420\)–miles trip take moving at \(65\) miles per hour (mph)?

A. \(4\) hours

B. \(6\) hours and \(24\) minutes

C. \(8\) hours and \(24\) minutes

D. \(8\) hours and \(30\) minutes

E. \(10\) hours and \(30\) minutes

13- The marked price of a computer is? dollar. Its price decreased by \(15\%\) in January and later increased by \(10\%\) in February. What is the final price of the computer in? dollar?

A. \(0.80\) D

B. \(0.88\) D

C. \(0.93\) D

D. \(1.20\) D

E. \(1.40\) D

14- If \(0.35\) equals \(350\)?, what is the value of ??

A. \( 0.001\)

B. \( 0.01\)

C. \(1.0\)

D. \(1.01\)

E. \(1.001\)

15- Jason borrowed \($5,800\) for three months at an annual rate of \(5\%\). How much interest did Jason owe?

A. \( $45\)

B.\($72.50\)

C. \($120\)

D. \($240\)

E. \($480\)

16- If three times a certain number, increased by \(10\), is equal to \(40\), what is the number?

A. \(10\)

B. \(12\)

C. \(18\)

D. \(27\)

E. \(54\)

17- If \(30\) percent of a number is \(150\), then \(15\) percent of the same number is?

A. \(75\)

B. \(79\)

C. \(80\)

D. \( 90\)

E. \(120\)

18- The average of \(13,15,20\) and \(x\) is \(20\). What is the value of \(x\)?

A. \(9\)

B. \(15\)

C. \(18\)

D. \(20\)

E. \(32\)

19- In five successive hours, a car traveled \(40\) ??,\(45\) ??,\(50\) ??,\(35\) ?? and \(55\) ??. In the next five hours, it traveled with an average speed of \(55\) ?? ??? ℎ???. Find the total distance the car traveled in \(10\) hours.

A. \(425\) km

B. \(450\) km

C. \(475\) km

D. \(500\) km

E. \(1,000\) km

20- John has? toy cars. Jack has \(6\) more cars than John. If Jack gives John \(3\) cars, how many cars will Jack have, in terms of ??

A. \( N\)

B. \( N-1\)

C. \( N+1\)

D. \( N+2\)

E. \( N+3\)

Best SSAT Middle Level Math Prep Resource for 2026

Answers:

2- C
\(x\) is the number of all sales profit and \(3\%\) of it is: \(3\%×x=0.03x\), Employer’s revenue: \(0.03x+7,000\)

3- B
Number of biology book: \(35\), Total number of books; \(35+85+90=210\)
The ratio of the number of biology books to the total number of books is: \(\frac{35}{210}=\frac{1}{6}\)

4- D
\(5,000+A-200=7,400→5,000+A=7,400+200=7,600→A=7,600-5,000=2,600\)

5- E
Let \(x\) be all expenses, then \(\frac{22}{100} x=$770 →x=\frac{100×$770}{22}=$3,500\),
He spent for his rent: \(\frac{27}{100}×$3,500=$945\)

6- C
\(5×M+3=5→5×M=5-3=2→M=\frac{2}{5}\)

7- E
\(\frac{52.6}{100}=0.526\)

8-B
The angles on a straight line add up to \(180\) degrees. Then: \(x+22+y+2x+y=180\), Then, \(3x+2y=180-22→3(28)+2y=158→2y=158-84=74→y=37\)

9- B
let \(x\) be the number of gallons of water the container holds when it is full.
Then; \(\frac{5}{24} x=2.5→x=\frac{24×2.5}{5}=12\)

10- C
The ratio of lions to tigers is \(3\) to 1 at the zoo. Therefore, the total number of lions and tigers must be divisible by \(4\). From the choices provided, only \(98\) is not divisible by \(4\).

11- B
If \(x\) is greater than \(18\), then \(\frac{1}{3}\) of \(x\) must be greater than: \(\frac{1}{3}×18=6.\)

12- B
Use distance formula: Distance \(=\) Rate \(×\) time \(⇒ 420=65×T\), divide both sides by \(65. 420÷65= T ⇒ T = 6.4 \) hours. Change hours to minutes for the decimal part.
\(0.4\) hours \(= 0.4×60=24 \) minutes.

13- D
To find the discount, multiply the number by (\(100\%-\) rate of discount).Therefore, for the first discount we get: \((D) (100\%-15\%)=(D\) \(0.85)=0.85 D\)
For increase of \(10\%: (0.85 D) (100\%+10\%\)=\(0.85 D\) \(1.10)=0.93 D=\) \(93\%\) of D or \(0.93D\)

14- A
\(0.35\) equals \(350M\). Then:\(0.35=350M→M=\frac{0.35}{350}=0.001\)

15- B
Use simple interest formula: \(I=prt, (I =\) interest, \(p =\) principal, \(r =\) rate, \(t =\) time)
t is for one year. For (3) months, t is \(\frac{1}{4}\) or \(0.25\).
\(I=(5,800)(0.05)(0.25)=72.50\)

16- A
Three times a certain number, increased by \(10\), is equal to \(40\). Write an equation and solve.
\(3x+10=40→3x=40-10=30→x=\frac{30}{3}=10\)

17- A

\(30\) percent of a number is (150). Therefore, the number is \(500. 0.30x=150→x=\frac{150}{0.30}=500\)
\(15\) percent of (500) is \(75. 0.15×500=75\)

18- E
average \(=\frac{sum \ of \ terms }{number \ of \ terms}⇒ 20= \frac{13+15+20+x}{4 } ⇒80=48+x ⇒ x=32\)

19- D

Add the first \(5\) numbers. \(40+45+50+35+55=225\)
To find the distance traveled in the next \(5\) hours, multiply the average by number of hours.
Distance \(=\) Average \(×\) Rate \(=55×5=275\), Add both numbers. \(275+225=500\)

20- E

John has N toy cars. Jack has \(6\) more cars than John. Therefore, Jack has \(N+6\) toy cars. Jack gives John \(3\) cars. Now, Jack has \((N+6-3) N+3\) toy cars.

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Recommended EffortlessMath Books

For a workbook your child can use alongside this practice test, the SSAT Middle Level Math for Beginners covers every topic with worked examples. For full prep with multiple full-length practice tests, see the SSAT Middle Level Math Test Prep Bundle.

Frequently Asked Questions

How many math questions are on the SSAT Middle Level?

50 questions total in the Quantitative portion, split into two 25-minute sections of 25 questions each. The two math sections are interleaved with Verbal and Reading during the full test.

Is a calculator allowed on the SSAT Middle Level?

No. Calculators are not permitted on any section of the SSAT. Your child should practice arithmetic, fraction operations, and mental algebra by hand from the start of prep.

What grades take the SSAT Middle Level?

Students in grades 5, 6, or 7 who are applying for admission to grades 6-8 at private schools. Younger students take the Lower Level (grades 3-4); older students take the Upper Level (grades 8-11).

Does the SSAT Middle Level penalize guessing?

Yes. You lose 1/4 point per wrong answer; correct answers earn 1 point; blanks earn 0. If you can rule out at least one of the five choices, an educated guess has positive expected value. Random blind guessing slightly hurts your score over time.

How is the SSAT Middle Level scored?

Each section gets a scaled score from 440 to 710. The Middle Level reports Quantitative, Verbal, and Reading scaled scores plus a total, alongside a percentile rank against other SSAT-takers in the same grade.

What math topics are on the SSAT Middle Level?

Number sense and operations, fractions and decimals, ratios and percents, basic algebra (one-variable equations), geometry basics (perimeter, area, volume), measurement, and data analysis (mean, median, mode, reading charts). Aligned roughly with grade 5-7 Common Core math.

How long is the full SSAT Middle Level test?

About 2 hours 50 minutes of actual testing. It includes a 25-minute writing sample, two 25-minute Quantitative sections, a 40-minute Reading section, a 30-minute Verbal section, and a 15-minute experimental section, with short breaks between.

Can my child retake the SSAT Middle Level?

Yes. The SSAT is offered on 8 standard dates per year. Your child can take it as many times as you want during the application cycle. Most schools accept the highest score, but check each school’s specific policy.

How long should we prepare for the SSAT Middle Level Math?

For most fifth- and sixth-graders, 6-8 weeks of practice at 20-30 minutes per day is a solid plan. Start with a diagnostic test to identify weak topics, drill those concepts, then build up to full-length timed practice in the final two weeks.

Where can I find more SSAT Middle Level practice?

EffortlessMath has the SSAT Middle Level Math for Beginners workbook covering every topic on the test, plus the SSAT Middle Level Math Test Prep Bundle with multiple timed practice tests.

Related EffortlessMath Lessons

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

• Order of operations (PEMDAS)
• How to find the slope of a line
• How to use the Pythagorean theorem
• Rules of exponents
• How to solve linear equations