Top 10 ISEE Middle-Level Math Practice Questions

Top 10 ISEE Middle-Level Math Practice Questions is a multiple-choice math challenge from Effortless Math. Read the problem, choose from the answer options below, then open the solution to see the full step-by-step working and check your reasoning against it.

B. 145

C. 125

D. 105

3- What is the area of a square whose diagonal is 8?

A. 16

B. 32

C. 36

D. 64

4- Which of the following shows the numbers in descending order?

A. (frac{1}{6},frac{2}{5},frac{1}{3},frac{3}{4})

B. (frac{1}{6},frac{2}{5},frac{3}{4},frac{1}{3})

C. (frac{1}{6},frac{1}{3},frac{2}{5},frac{3}{4})

D. (frac{1}{6},frac{3}{4},frac{1}{3},frac{2}{5})

5- (452,357,841×0.0001)?

A. 452,357.841

B. 45,235.7841

C. 4,523.57841

D. 452.357841

6- A $40 shirt now selling for $28 is discounted by what percent?

A. (20 %)

B. (30 %)

C. (40 %)

D. (60 %)

7- If (f=2x-3y) and (g=x+4y), what is (2f+g)?

A. (3x−y)

B. (3x−2y)

C. (5x−2y)

D. (5x−y)

8- The area of a circle is (64π). What is the diameter of the circle?

A. 4

B. 8

C. 12

D. 16

9- If there were 300 students at a school and nearly (32%) prefer to learn Germany, approximately how many students want to learn Germany?

A. 300

B. 204

C. 96

D. 6

10- What is the mean in the following set of numbers?
(9,12,29,36,45,63,99,123)

A. 46.2

B. 40.5

C. 59.4

D. 52

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Answers:

2- B
(x=20+125=145)

3- B
The diagonal of the square is 8. Let (x) be the side.
Use Pythagorean Theorem: (a^2 + b^2 = c^2)
(x^2 + x^2 = 82 ⇒ 2x^2 = 82 ⇒ 2x^2 = 64 ⇒x^2 = 32 ⇒x= sqrt {32})
The area of the square is:
(sqrt {32} × sqrt{32} = 32)

4- C
(frac{1}{6}≅0.16, frac{1}{3}≅0.33, frac{2}{5}=0.4, frac{3}{4}=0.75)

5- B
(52357841×frac{1}{10000}=45235.7841)

6- B
Use the formula for Percent of Change
(frac{New Value – Old Value}{Old Value}× 100 %)
(frac{28-40}{40}× 100 % = -30 % )
(negative sign here means that the new price is less than old price)

7- C
(2f=2×(2x-3y)=4x-6y)
(2f+g=4x-6y+x+4y=5x-2y)

8- D
The formula for the area of the circle is: (A=πr^2)
The area is (64π). Therefore:
(A=πr^2 ⇒ 64π = πr^2)
Divide both sides by (π):
(64 = r^2⇒ r=8)
Diameter of a circle is (2 x) radius. Then:
Diameter (= 2 × 8 = 16)

9- C
Number of students prefer to learn Germany (= frac{32}{100}×300=96)

10- D
Mean (=frac{9+12+29+36+45+63+99+123}{8}=frac{416}{8}=52)

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