# Full-Length SSAT Middle Level Math Practice Test

Taking a Full-length SSAT Middle-Level Math practice test is the best way to help you get familiar with the test format and feel more confident. Not only will this help you measure your exam readiness and solidify the concepts you’ve learned, but it is the best way to simulate test day.

To help you get the best out of this complete and realistic SSAT Middle-Level Math practice test and prepare your mind and body for the actual test, we recommend that you treat this practice test as a real test. Prepare scratch papers, a pencil, a timer, and a calculator and take the test in one sitting and follow the time limits to the minute.

Take the following full-length SSAT Middle-Level Math practice test to simulate the test day experience. After you’ve finished, score your tests using the answer keys.**Good luck!**

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

**Time to refine your Math skill with a practice test**

Take a REAL ISEE Middle-Level Mathematics test to simulate the test day experience. After you’ve finished, score your test using the answer key.

**Before You Start**

- You’ll need a pencil, a calculator, and a timer to take the test.
- It’s okay to guess. You won’t lose any points if you’re wrong. So be sure to answer every question.
- After you’ve finished the test, review the answer key to see where you went wrong.
**Calculators are permitted for HiSET Math Test.**- Use the answer sheet provided to record your answers.
- The HiSET Mathematics test contains a formula sheet, which displays formulas relating to geometric measurement and certain algebra concepts. Formulas are provided to test-takers so that they may focus on application, rather than the memorization, of formulas.
- For each multiple-choice question, there are five possible answers. Choose which one is best.

**Good Luck!**

**Best** **SSAT Middle-Level** **Math** **Prep Resource for 2022**

## SSAT Middle-Level Math Practice Test

### SSAT Middle-Level Practice Test

Quantitative Reasoning

1- If \(\frac{5x}{3}=15\), then\( \frac{3x}{2}=\)?

A. 9

B. 10.5

C. 13.5

D. 15.5

E. 17.5

2- Which of the following is NOT equal to \(0.3×5\)?

A. \(0.3×5\)

B. \(3×0.5\)

C. \(3×\frac{1}{2}\)

D. \(\frac{75}{100}×2\)

E. \(0.15×1\)

3- Sara has N books. Mary has 7 more books than Sara. If Mary gives Sara 3 books, how many books will Mary have, in terms of N?

A. N

B. N\(-3\)

C. N\(+4\)

D. N\(+10\)

E. 7N

4- If 25 percent of a number is 45, then 15 percent of the same number is …

A. 27

B. 45

C. 75

D. 100

E. 180

5- What is the value of \(x\) in the following figure?

A. 45

B. 100

C. 125

D. 140

E. 180

6- what is the area of a square whose diagonal is 8?

A. 16

B. 32

C. 64

D. 82

E. 108

7- An angle is equal to one-fifth of its supplement. What is the measure of that angle?

A. 5

B. 10

C. 30

D. 45

E. 180

8- A $50 shirt now selling for $30 is discounted by what percent?

A. \(15\%\)

B. \(20\%\)

C. \(30\%\)

D. \(40\%\)

E. \(60\%\)

9- Which of the following is closest to \(\frac{1}{3}\) of 27?

A. \(0.2×9\)

B. \(0.5×4\)

C. \(0.8×7\)

D. \(0.5×17\)

E. \(0.5×24\)

10- Solve for \(x: 3(x −1) = 2(x + 3) + 15\)

A. 4

B. 6.5

C. 8

D. 24

E. 36

11- The score of Emma was half as that of Ava and the score of Mia was twice that of Ava. If the score of Mia was 80, what is the score, Emma?

A. 20

B. 40

C. 60

D. 80

E. 160

12- Two fifth of 20 is equal to \(\frac{1}{3}\) of what number?

A. 6.8

B. 8

C. 12

D. 24

E. 36

13- If two times a number added to 4 equals 24, what is the number?

A. 2

B. 4

C. 6

D. 8

E. 10

14- The perimeter of the trapezoid below is 38. What is its area?

A. 36 cm\(^2\)

B. 63 cm\(^2\)

C. 80 cm\(^2\)

D. 84 cm\(^2\)

E. 108 cm\(^2\)

15- When a number is subtracted from 15 and the difference is divided by that number, the result is 4. What is the value of the number?

A. 2

B. 3

C. 5

D. 8

E. 12

16- Three-kilogram apple and five-kilogram orange cost $34.6. If a one-kilogram apple costs $3.2 how much does one-kilogram orange cost?

A. $5

B. $6

C. $7.5

D. $10.8

E. $12.5

17- The average weight of 27 girls in a class is 50 kg and the average weight of 23 boys in the same class is 65 kg. What is the average weight of all the 50 students in that class?

A. 52.28

B. 56.9

C. 61.90

D. 65.8

E. 68.25

18- What is the value of \(x\) in this equation? \(5(x-3)=45\)

A. 6

B. 8

C. 12

D. 18

E. 20

19- Four years ago, Amy was five times as old as Mike was. If Mike is 12 years old now, how old is Amy?

A. 8

B. 40

C. 44

D. 60

E. 65

20- A red box is \(30\%\) greater than the blue box. If 26 books exist in the red box, how many books are in the blue box?

A. 7

B. 10

C. 20

D. 24

E. 26

21- In a group of 5 books, the average number of pages is 55. Mary adds a book with 31 pages to the group. What is the new average number of pages per book?

A. 11

B. 14

C. 17

D. 51

E. 54

22- A football team won exactly \(60\%\) of the games it played during the last session. Which of the following could be the total number of games the team played last season?

A. 25

B. 32

C. 38

D. 41

E. 48

23- If a gas tank can hold 36 gallons, how many gallons does it contain when it is \(\frac{1}{3}\) full?

A. 12

B. 24

C. 36

D. 48

E. 72

24- Which of the following is the correct statement?

A. \(\frac{1}{2}>0.8\)

B. \(20\%=\frac{2}{5}\)

C. \(2<\frac{3}{2}\)

D. \(\frac{5}{2}>1.8\)

E. \(2.5\%=0.25\)

25- 8 liters of water are poured into an aquarium that’s 20 cm long, 8 cm wide, and 80 cm high. How many cm will the water level in the aquarium rise due to this added water? (1 liter of water = 1,000 cm3)

A. 30

B. 40

C. 50

D. 60

E. 80

26- Four people can paint 5 houses in 8 days. How many people are needed to paint 10 houses in 4 days?

A. 4

B. 8

C. 16

D. 20

E. 24

27- Which of the following is less than \(\frac{1}{3}\)?

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

B. 0.35

C. \(\frac{1}{2}\)

D. 0.5

E. 0.65

28- Amy and John work in the same company. Last month, both of them received a raise of 15 percent. If Amy earns $40.25 per hour now and John earns $34.5, Amy earned how much more per hour than John before their raises?

A. $3

B. $5

C. $5.75

D. $8.25

E. $30

29- A taxi driver earns $12 per 1-hour work. If he works 9 hours a day and in 1 hour he uses 2-liters petrol with the price of $1.5 for 1-liter. How much money does he earn in one day?

A. $12

B. $18

C. $27

D. $81

E. $108

30- The width of a rectangle is \(3x\). the length is \(5x\), and the perimeter of the rectangle is 64. What is the value of \(x\)?

A. 2

B. 4

C. 8

D. 15

E. 32

31- The length of a rectangle is 4 times its width. If the length is 16, what is the perimeter of the rectangle?

A. 20

B. 40

C. 48

D. 64

E. 75

32- In the figure below, what is the value of \(x\)?

A. 45

B. 60

C. 75

D. 90

E. 115

33- If \(x∎y=2x-y+3\), what is the value of \(3∎8\)?

A. 1

B. 3

C. 4

D. 6

E. 8

34- If N\(×(7-4)=15\) then N=?

A. 3

B. 5

C. 12

D. 14

E. 16

35- If 30 is the product of 5 and \(x\) without leaving a remainder, then 30 can also be divided by which of the following?

A. \(4x-4\)

B. \(3x+8\)

C. \(6x+4\)

D. \(x×5\)

E. \(x-10\)

36- If 0.70 equals 35M, what is the value of M?

A. 0.01

B. 0.02

C. 0.2

D. 1.01

E. 1.11

37- If \(z=2x-4\), what does \(3z+7\) equal?

A. \(6x\)

B. \(6x+3\)

C. \(6x-3\)

D. \(6x-5\)

E. \(6x+5\)

38- How many tiles of 400 cm\(^2\) are needed to cover a floor of dimension 60 cm by 80 cm?

A. 4

B. 6

C. 12

D. 18

E. 20

39- 0.0ABC 0.0D

The letters represent the two decimals listed above. One of the decimals is equivalent to \(\frac{1}{16}\) and the other is equivalent to \(\frac{1}{25}\). What is the product of C and D?

A. 0

B. 4

C. 5

D. 8

E. 20

40- If \(3,000-\)A\(+300=2,100\), then A \(=\)

A. 400

B. 800

C. 1,200

D. 1,800

E. 2,200

41- A company pays its employee $8,000 plus \(1.5\%\) of all sales profit. If \(?\) is the number of all sales profit, which of the following represents the employer’s revenue?

A. \(0.15x\)

B. \(0.985x-8,000\)

C. \(0.015x+8,000\)

D. \(0.985x+8,000\)

E. \(0.15x+8,000\)

42- In a certain bookshelf of a library, there are 40 biology books, 55 history books, and 65 language books. What is the ratio of the number of biology books to the total number of books on this bookshelf?

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

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

C. \(\frac{1}{2}\)

D. \(\frac{2}{3}\)

E. \(\frac{3}{4}\)

43- \(\frac{x}{x+7}=\frac{3}{4} , x-16=\)?

A. \(-12\)

B. \(-21\)

C. \(-5\)

D. 5

E. 21

44- The circle graph below shows all Mr. Green’s expenses for last month. If he spent $768 on his car, how much did he spend on his rent?

A. $680

B. $740

C. $768

D. $810

E. $832

45- A container holds 1.5 gallons of water when it is \(\frac{3}{7}\) full. How many gallons of water does the container hold when it’s full?

A. 1.75

B. 1.5

C. 3.5

D. 6

E. 7.5

46- Which of the following is equal to \(\frac{34.3}{100}\)?

A. 0.0343

B. 0.343

C. 3.43

D. 34.3

E. 3430

47- In the following figure, point Q lies on line n, what is the value of y if \(x = 25\)?

A. 25

B. 35.5

C. 36.67

D. 45

E. 48.75

48- If \(3×M-4=-2\) , M equals to ….

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

B. \(\frac{1}{2}\)

C. \(\frac{2}{3}\)

D. 1

E. \(\frac{4}{3}\)

49- At a Zoo, the ratio of lions to tigers is 7 to 4. Which of the following could NOT be the total number of lions and tigers in the zoo?

A. 24

B. 38

C. 43

D. 44

E. 75

50- If \(x\) is greater than 12, then \(\frac{1}{3}\) of \(x\) must be…

A. Greater than 3

B. Greater than 4

C. Equal to 3

D. Equal to 6

E. Less than 4

**The Best Books to Ace the ****SSAT Middle-Level **Math **Test**

## Answers and Explanations

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