FREE ISEE Middle Level Math Practice Test

FREE ISEE Middle Level Math Practice Test 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. 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 inches

B. 64 inches

C. 32 inches

D. 56 inches

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

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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(^circ).

C. Length of AB equal to length DC.

D. AB is perpendicular to DC.

18- (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 represents 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

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Answers:

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% space )of (space 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 the 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 the 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 a prime number; it is divided by 3

15- C
The area of the square is 64 square 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^circ→α=45^circ)

17- C
In a rectangle sides that face to face, each other are 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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