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ASVAB PREP MATHEMATICS KNOWLEDGE

Class notes Feb 17, 2026
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ASVAB PREP (MATHEMATICS KNOWLEDGE

1) EXAM QUESTIONS

Actual Qs and Ans - Expert-Verified Explanation -Guaranteed passing score -25 Questions and Answers

-Format: Multiple-choice / Flashcard

Question 1: If 40% is equal to the fraction x/30, what is the value of x?

Answer:

12

Question 2: The expression "5 factorial" equals

Answer:

120

Question 3: What is the value of x in the equation x/2= 7?

Answer:

x=14 Question 4: A wildlife preserve is laid out in the shape of a perfect circle whose radius is 14 miles. The lions' territory in this preserve is shaped like a wedge and has a fence around it. Two inner sides of a fence meter at at 90-degreee able in the center of the preserve. How much territory do the lions have?

Answer:

154 square miles.

Question 5: A woman has $500 in a bank account. Every week, she writes out a check for $50. If she doesn't make any new deposits, what will her bank account hold x weeks from now?

Answer:

$500-$50x Question 6: When the temperature is 20 degrees Celsius (C), what is it on the Fahrenheit (F)?(Use the following formula).F= (9/5xC)+32

Answer:

68 degrees.Question 7: Two circles have the same center. If their radii are 7 inches and 10 inches, find the area that is part of the larger circle but not the smaller one.

Answer:

51(pie) square inches.

Question 8: If 5x=30, then x is equal to

Answer:

6 Question 9: The perimeter of a rectangle is 38 inches. If the length is 3 inches more than the width, fine the width.

Answer:

  • inches.
  • Question 10: Which of the following is the smallest prime number greater than 200? 201, 205, 211, or 214?

Answer:

211 Question 11: Ten ounces of liquid contain 20% fruit juice and 80% water. The mixture is diluted by adding 40 additional ounces of water. What is the percentage of fruit juice in the new solution?

Answer:

4%

Question 12: What is the meaning of the statement -30 (less than) -5?

Answer:

Negative 30 is less than negative 5.

Question 13: What is the product of (a-5) and (a+3)?

Answer:

a^2-2a-15

Question 14: Divide 15a^3b^2c by 5abc.

Answer:

3a^2b

Question 15: Find the value of (-3)^4+ (-2)^4 + (-1)^4.

Answer:

98 Question 16: Solve for x: 8x-2-5x=8.

Answer:

x= 3 1/3 Question 17: How many cubic yards of concrete are needed to make a cement floor that is 9 feet by 12 feet by 6 inches thick?

Answer:

2 Question 18: A park commissioner designs a new playground in the shape of a pentagon (5 points) . If he plans to have a fountain at every corner of the park, how many fountains will there be?

Answer:

5

Question 19: Find the square root of 85 correct to the nearest tenth.

Answer:

9.2

Question 20: What is the result of subtracting 3x^2-5x-1 from 8x^2+2x-9?

Answer:

5x^2+7x-8 Question 21: A 10-foot-high ladder is resting against an 8-foot-high wall surrounding a tennis court. If the top of the ladder is exactly even with the top of the wall, how far is the base of the ladder from the wall?

Answer:

  • feet.
  • Question 22: Solve for z: 3z-5+2z= 25-5z

Answer:

Z=3 Question 23: A cylindrical can has a radius of 7 inches and a height of 15 inches. How many gallons of milk can it hold? (There are 231 cubic inches in a gallon.)

Answer:

10 gallons.Question 24: My average grade on a set of five tests was 88%. I can remember only that the first four grades were 78%, 86%, 96%, and 94%. What was my fifth grade?

Answer:

86 Question 25: If one of the angles of a right triangle is 30 degrees, what are the other two angles?

Answer:

60 degrees, 90 degrees.

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