FREE SSAT Middle Level Math Practice Test

$FREE SSAT Middle Level Math Practice Test$

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.

Quick answer: The SSAT Middle Level test is for students in grades 5 to 7. Its math (Quantitative) part has 50 questions in two 30-minute sections of 25, each with five answer choices and no calculator. A right answer earns 1 point and a wrong one loses a quarter point, so skip questions you can’t narrow down at all.

Open the full-screen timed SSAT test →

TL;DR: If your child is applying to private school for grades 6 through 8, the SSAT Middle Level is the test that matters. The Quantitative portion is 50 questions split across two 30-minute sections, no calculator allowed. Try this free practice test as a calm rehearsal first. Sit together for the review afterward and you’ll both spot the topics that need more study time before the real application test day.

Key takeaways:

SSAT Middle Level Quantitative has 50 questions across two 30-minute sections.
No calculator is permitted on any section.
Designed for students currently in grades 5 through 7.
Each question has 5 answer choices (A through E).
Wrong answers cost 1/4 point on the Middle Level, guess only when you can eliminate a choice.

For this practice test, we’ve written 20 questions in the style of the real exam 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.

The Absolute Best Book to Ace the SSAT Middle Level Math Test

SSAT Middle Level Math Tutor Everything You Need to Help Achieve an Excellent Score

Rated 4.50 out of 5 based on 227 customer ratings

Satisfied 215 Students

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)
$ practice test diagram $

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:

1- A

Use cross product to solve for $(x)$.
$\frac{x}{x-2}=\frac{4}{5}→5×x=4×(x-2)→5x=4x-8→x=-8, x-5=-8-5=-13$

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.

Looking for the best resource to help you succeed on the SSAT Middle-Level Math test?

The Best Books to Ace the SSAT Middle Level Math Test

SSAT Middle Level Math Comprehensive Prep Bundle Everything You Need to Ace the SSAT Middle Level Math Test

Rated 4.43 out of 5 based on 210 customer ratings

Satisfied 198 Students

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 (resource currently unavailable).

The Middle Level SSAT, Section by Section

Math is two of the scored sections, but your child sits the whole test in one session. Here is the full layout so test day holds no surprises.

Section	Questions	Time	Scored?
Writing Sample	1 essay or story	25 minutes	No, but schools receive it
Quantitative 1	25	30 minutes	Yes
Reading	40	40 minutes	Yes
Verbal	60 (30 synonyms, 30 analogies)	30 minutes	Yes
Quantitative 2	25	30 minutes	Yes
Experimental	16	15 minutes	No

With two 10-minute breaks, the whole test takes 3 hours and 10 minutes. The two math sections combine into one Quantitative score.

When to guess on the math sections

A wrong answer costs a quarter point. With five choices, a blind guess is a wash: on average you gain as much as you lose. Once you can cross out even one choice, a guess comes out ahead over many questions. So the rule for your child is simple: never guess blindly, but if one or more choices are clearly wrong, pick from the rest. With 30 minutes for 25 questions, that leaves about 1 minute 12 seconds per question, so skipping a hard one early is often smart.

Frequently Asked Questions

Is there a free SSAT Middle Level practice test PDF with answers?

Yes, free SSAT Middle Level math practice tests with answer explanations are available, both online and as printable files. For a realistic rehearsal, have your child do two 25-question sections, each in 30 minutes, without a calculator. Then read every explanation, including ones for questions answered correctly, to spot lucky guesses.

What math topics are on the SSAT Middle Level?

SSAT Middle Level math covers grade 5 to 7 topics: number sense, fractions, decimals, percents, ratios, one-variable equations, perimeter, area and volume, measurement, and data such as mean, median and mode. Questions are mixed together and have five answer choices, so practice switching quickly between skills without a calculator.

How many questions are on the SSAT Middle Level practice test?

The math part of the Middle Level SSAT has 50 questions in two Quantitative sections of 25, with 30 minutes for each. That works out to about 1 minute 12 seconds per question. A full practice test also includes Verbal and Reading sections, so a math-only practice test should match the 50 questions and the timing.

Is there a free SSAT test for practice?

Yes, there are free SSAT practice tests, including full-length math tests for the Middle Level. Use one early as a diagnostic, then again a few weeks later to measure progress. Since a wrong answer costs a quarter point on the Middle Level, practice deciding when to skip a question you cannot narrow down.

Related EffortlessMath Lessons

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

Effortless Math Team

11 hours ago