# FREE ISEE Middle Level Math Practice Test

Welcome to our FREE ISEE Middle-Level Math practice test, with answer key and answer explanations. This practice test’s realistic format and high-quality practice questions can help you succeed on the ISEE Middle-Level Math test. Not only does the test closely match what you will see on the real ISEE Middle Level, but it also comes with detailed answer explanations.

For this practice test, we’ve selected 20 real questions from past exams for your ISEE Middle-Level Practice test. You will have the chance to try out the most common ISEE 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 ISEE Middle-Level Math practice tests and study resources (updated for 2022) to ace the ISEE 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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## 10 Sample **ISEE Middle-Level **Math Practice Questions

1- Solve: \(12.124÷0.002=\)?

A.6.062

B.60.62

C.606.2

D.6062

2- What is the value of \(x\) in the following equation?

\(10+4(x+5-5x)=30\)

A. 0

B. 1

C. 2

D. 3

3- What number is 12 more than \(15\%\) of 180?

A. 40

B. 39

C. 15

D. 10

4- If a box contains red and blue balls in the ratio of 2 : 3, how many red balls are there if 90 blue balls are in the box?

A. 90

B. 60

C. 30

D. 10

5- Solve: \(3(\frac{1}{3} – \frac{1}{6}) +4\)?

A. 4.5

B. 4

C. 5.5

D. 5

6- What is the greatest common factor of 66 and 70?

A. 1

B. 2

C. 3

D. 4

7- Which of the following is the greatest number?

A. \(\frac{1}{9}\)

B.\(\frac{7}{9}\)

C. 0.9

D. \(65\%\)

8- Calculate the approximate area of the following circle.

A. \(1257\) cm\)^2\)

B.\(314\) cm\(^2\)

C. \(63\) cm\(^2\)

D. \(126\) cm\(^2\)

9- If \(150%\) of a number is 75, then what is the \(90\%\) of that number?

A. 45

B. 50

C. 70

D. 85

10- What is the missing term in the given numbers?

\( 2, 3, 5, 8, 12, 17, 23, *_*, 38\)

A. 24

B. 26

C. 28

D. 30

11- From last year, the price of gasoline has increased from $1.25 per gallon to $1.75 per gallon. The new price is what percent of the original price?

A. \(72\%\)

B. \(120\%\)

C. \(140\%\)

D. \(160\%\)

12- 195 minutes = _______?

A. 3.25 Hours

B. 2.16 Hours

C. 2 Hours

D. 0.3 Hours

13- If a gas tank can hold 25 gallons, how many gallons does it contain when it is (\frac{2}{5}) full?

A. 50

B. 125

C. 62.5

D. 10

14- Which of the following is not a prime number?

A. 103

B. 101

C. 97

D. 57

15- What is the perimeter of a square that has an area of 64 square inches?

A. 144

B. 64

C. 32

D. 56

16- Which of the following angles can represent the three angles of an isosceles right triangle?

A. \(10^\circ, 80^\circ, 90^\circ\)

B. \(50^\circ, 50^\circ, 80^\circ\)

C. \(60^\circ, 60^\circ, 60^\circ\)

D. \(45^\circ, 45^\circ, 90^\circ\)

17- In the following rectangle which statement is true?

A. AB is parallel to BC.

B. The sum of all the angles equals 180°.

C. Length of AB equal to length DC.

D. AB is perpendicular to DC.

18- Solve: \(7^4=\)?

A.\(7+4\)

B. \(7×4\)

C. \(7+7+7+7\)

D. \(7×7×7×7\)

19- A football team had $20,000 to spend on supplies. The team spent $14,000 on new balls. New sports shoes cost $120 each. Which of the following inequalities represent how many new shoes the team can purchase?

A. \( 120x+14,000 ≤20,000 \)

B. \(120x+14,000 ≥20,000\)

C. \(14,000x+120 ≤20,000\)

D. \(14,000x+12,0 ≥20,000\)

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

A. 9

B. 15

C. 21

D. 30

**Best** **ISEE Middle-Level Mathematics** Math Prep Resource for 2022

## Answers:

1- **D**

\(12.124÷0.002=\frac{\frac{12124}{1000}}{\frac{2}{1000}}=\frac{12124}{2}=6062\)

2- **A**

\(10+4(x+5-5x)=10+4(-4x+5)=30→10-16x+20=30→-16x+30=30→-16x=0→x=0\)

3-** B**

\(15\%\) of \(180=\frac{15}{100}×180=27\)

Let \(x\) be the number then, \(x = 27 + 12 = 39\)

4-B

\(\frac{2}{3}×90=60\)

5- **A**

\(3(\frac{1}{3} – \frac{1}{6}) +4=3(\frac{12-1}{6}) +4\)

\(\frac{3}{6}+4=\frac{1}{2}+ 4= \frac{9}{2}=4.5\)

6- **B**

Prime factorizing of 70=2×5×7\(\)

Prime factorizing of 66=2×3×11\(\)

GCF=2

7- **C**

\(\frac{1}{2}=0.5\)

\(\frac{7}{9}=0.77\)

\(65\%=0.65\)

8-**B**

\(Area=πr^2=π×(\frac{20}{2})^2=100π=100×3.14=314\)

9- **A**

First, find the number.

Let \(x\) be the number. Write the equation and solve for \(x\).

\(150\%\) of a number is 75, then:

\(1.5×x=75 ⇒ x=75÷1.5=50\)

\(90%\) of 50 is:

\(0.9 × 50 = 45\)

10- **D**

Find the difference of each pair of numbers:

2, 3, 5, 8, 12, 17, 23, *_*, 38

The difference of 2 and 3 is 1, 3 and 5 is 2, 5 and 8 is 3, 8 and 12 is 4, 12 and 17 is 5, 17 and 23 is 6, 23 and next number should be 7.

The number is \(23 + 7 = 30\)

11- **C**

The question is this: 1.75 is what percent of 1.25?

Use percent formula:

Part \(= \frac{percent}{100}× \) whole

\(1.75= \frac{percent}{100}× 1.25 ⇒ 1.75 =\frac{percent ×1.25}{100}⇒175 =\) percent \(×1.25 ⇒ percent =\frac{175}{1.25}=140\)

12- **A**

60 minutes = 1Hours→(\frac{195}{60}) = 3.25 Hours

13- **D**

\(\frac{2}{5}×25=\frac{50}{5}=10\)

14- **D**

57 is not prime number, it is divided by 3

15- **C**

The area of the square is 64 inches. Therefore, the side of the square is the square root of the area.

(\sqrt{64}=8\) inches

Four times the size of the square is the perimeter:

\(4 × 8 = 32\) inches

16- **D**

\(2α+90^\circ=180^\circ→2α=90→α=45^\circ\)

17- **C**

In rectangle sides that face to face, each other is equal.

18- **D**

\(7^4=7×7×7×7\)

19- **A**

Let \(x\) be the number of shoes the team can purchase. Therefore, the team can purchase \(120 x\).

The team had $20,000 and spent $14000. Now the team can spend on new shoes $6000 at most.

Now, write the inequality:

\(120x+14,000 ≤20,000\)

20- **C**

Number of books in \(30\%\) of red box \(= \frac{30}{100}×30=9→30-9=21\)

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