Mathematics Knowledge ASVAB test questions and answers

1: If a = 5/2 then 1/a = A. 2 B. 5 C. 2/5 D. 5/2 C. 2/5 2: 12 is 15% of what number? A. 0.0125 B. 1.8 C. 18 D. 80 D. 80 3: Evaluate 3x + 7 when x = -3. A. -2 B. 10 C. 16 D. 30 A. -2 4: Find the diagonal of a square whose area is 36. A. 6 B. 6√2 C. 9 D. 9 √2 B. 6√2 5: If a + b = 6, what is the value of 3a + 3b? A. 9 B. 12 C. 18 D. 24 C. 18 6: Find the length of the radius in the following figure. A. 3 B. 4 C. 5 D. 10 C. 5 7: (3 - 1)×7 - 12 ÷ 2 = A. 1 B. -2 C. 4 D. 8 D. 8 8: The greatest common factor of 24 and 36 is A. 6 B. 12 C. 36 D. 72 B. 12 9: Solve for m: 3m - 12 = -6 A. -6 B. 0 C. 2 D. 6 C. 2 10: If 7p + 5q = -3, find q when p = 1. A. -1 B. -2 C. -1. D. -0. B. -2 11: The slope of the line shown is A. -2/5 B. -5/2 C. 2/5 D. 5/2 C. 2/5 12: Simplify (9x2y3z-12xy2z2)/3yz A. 3xy2z2 - 4xyz B. 3xy2z - 12xyz C. 3x2y2 - 4xyz D. 3y2 - 4xy2z2 C. 3x2y2 - 4xyz 13: The value of x is A. 70° B. 110° C. 140° D. 210° B. 110° 14: In a standard deck of playing cards, a king of hearts is drawn and not replaced. What is the probability of drawing another king from the deck? A. 1/4 B. 1/13 C. 1/17 D. 3/52 C. 1/17 15: How many minutes are there in 1 week? A. 10,080 B. 1,440 C. 420 D. 168 A. 10,080 16: If 2b+3=1/8, b= A. -6 B. -3 C. 0 D. 2 A. -6 17: The angles of a triangle are in the ratio 3:4:5. What is the measure of the smallest angle? A. 15° B. 30° C. 45° D. 75° C. 45° 18: Subtract (2x3-3x+1)-(x2-3x-2) A. 2x3-x2+3 B. 2x3-x2-6x-1 C. x3-6x-1 D. x2+3 A. 2x3-x2+3 19: If the area of a square is 400, what is the length of its side? A. 20 B. 40 C. 100 D. 200 A. 20 20: Seven more than 3 times a number is equal to 70. Find the number. A. 10 B. 17 C. 21 D. 30 C. 21 21: Which expression represents the volume of a cylinder whose height is equivalent to the length of the radius? A. pr2 B. pr3 C. (pr)2 D. (pr)3 B. pr3