# ISEE Middle-Level Math Practice Test Questions

Preparing your student for the ISEE Middle-Level Math test? Try these free ISEE Middle-Level Math Practice questions. Reviewing practice questions is the best way to brush up on your student’s Math skills. Here, we walk you through solving 10 common ISEE Middle-Level Math practice problems covering the most important math concepts on the ISEE Middle-Level Math test.

These ISEE Middle-Level Math practice questions are designed to be similar to those found on the real ISEE Middle-Level Math test. They will assess your student’s level of preparation and will give you a better idea of what students need to study for the exam.

## 10 Sample ISEE Middle Level Math Practice Questions

1- What is the greatest common factor of 30 and 48?

A. 6

B. 7

C. 5

D. 8

2- Simplify.
$$2x^2+3y^5-x^2+2z^3-2y^2+2x^3-2y^5+5z^3$$

A. $$3x^2-2y^2+y^5+7z^3$$

B. $$x^2+2x^3-2y^2+y^5+7z^3$$

C. $$x^2+2x^3+3y^5+7z^3$$

D. $$x^2+2x^3-2y^2+5y^5+7z^3$$

3- The ratio of boys and girls in a class is $$4:7$$. If there are 44 students in the class, how many more boys should be enrolled to make the ratio $$1:1$$?

A. 8

B. 10

C. 12

D. 16

4- Solve for $$x: 4(x + 1) = 6(x − 4) + 20$$

A. 12

B. 4

C. 6.2

D. 5.5

5- A company pays its employer \$7000 plus $$2\%$$ of all sales profit. If $$x$$ is all sold profit, which of the following represents the employer’s revenue?

A. $$0.02x$$

B. $$0.98x-7000$$

C. $$0.02x+7000$$

D. $$0.98x+7000$$

6- Car A uses 8-liter petrol per 100 kilometers; car B use 6-liter petrol per 100 kilometers. If both cars drive 250 kilometers, how much more petrol does car A use?

A. 5

B. 10

C. 15

D. 20

7- $$y=-4x-8$$

A. The quantity in Column A is greater.

B. The quantity in Column B is greater.

C. The two quantities are equal.

D. The relationship cannot be determined from the information given.

8-

A. The quantity in Column A is greater.

B. The quantity in Column B is greater.

C. The two quantities are equal.

D. The relationship cannot be determined from the information given.

9- The average age of Joe, Michelle, and Nicole is 32.

A. The quantity in Column A is greater.

B. The quantity in Column B is greater.

C. The two quantities are equal.

D. The relationship cannot be determined from the information given.

10-

A. The quantity in Column A is greater.

B. The quantity in Column B is greater.

C. The two quantities are equal.

D. The relationship cannot be determined from the information given.

## Answers:

1- A
Prime factorizing of $$30=2×3×5$$
Prime factorizing of $$48=2×2×2×2×3$$
GCF$$=2×3=6$$

2- B
$$2x^2+3y^5-x^2+2z^3-2y^2+2x^3-2y^5+5z^3=$$
$$2x^2-x^2+2x^3-2y^2+3y^5-2y^5+2z^3+5z^3=$$
$$x^2+2x^3-2y^2+y^5+7z^3$$

3- C
The ratio of boys to girls is $$4:7$$. Therefore, there are 4 boys out of 11 students. To find the answer, first, divide the total number of students by 11, then multiply the result by 4.
$$44 ÷ 11 = 4 ⇒ 4 × 4 = 16$$
There are 16 boys and $$28 (44 – 16)$$ girls. So, 12 more boys should be enrolled to make the ratio$$1:1$$

4- B
Simplify:
$$4(x + 1) = 6(x − 4) + 20$$
$$4x + 4 = 6x − 24 + 20$$
$$4x + 4 = 6x – 4$$
Subtract $$4x$$from both sides:
$$4 = 2x – 4$$
Add 4 to both sides:
$$8 = 2x$$
$$4 = x$$

5- C
Employer’s revenue: $$0.2x+7000$$

6- A
Petrol of car A in $$250 \space km = \frac{(8×250)}{100} = 20$$
Petrol of car A in 250 km = $$\frac{(6×250)}{100} = 15$$
$$20-15=5$$

7- B
Column A: The value of $$x$$ when $$y = 12:$$
$$y=-4x-8→12=-4x-8→-4x=20→x=-5$$
Column $$B: -4$$
$$-4 \space is \space greater \space than \space -5.$$

8- A
Column A: Simplify.
$$\sqrt{36}+\sqrt{36}=6+6=12$$
12 is greater than $$\sqrt{72}$$ . $$(\sqrt{144}=12)$$

9- D
Column A: Based on the information provided, we cannot find the average age of Joe and Michelle or the average age of Michelle and Nicole.

10- A
Column A: Simplify.
$$\sqrt{(121-64)}=\sqrt{57}$$
Column B:
$$\sqrt{121}-\sqrt{64}=11-8=3$$
$$\sqrt{57}$$ is bigger than 3. $$(\sqrt 9 = 3)$$

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