ASVAB Mathematics Knowledge Practice Set 1 questions fully solved

What is the height of a rectangle box with volume of 140, length of 10, and width of 7? 2 If x = square root 3, y = 2, and z = 1/2, then x^2 - 5yz + y^2 = ? 2 Solve for a: a/-2 +20 < -100 a > 240 ( 3d - 7 ) - ( 5 - 2d ) = ? 5d - 12 Which of the following are possible values of x, if x^2 - x - 20 = 0? -4, 5 The following two points lie on a line on the coordinate grid; ( -2, 0) and ( 4, 6). Which of the following is the equation of the line? y = x + 2 If a perimeter of a square is 36, what is the circumference of the circle? ** note the circle fits inside the square. 9 pie What is the area of the frame if the picture inside has a length of 8 and a width of 4? ** note that the bigger frame has a length of 10 and width of 8. 48 In a line, what is the distance from the midpoint of PQ (-12 - -2) to the midpoint of RS (1 - 9)? 12 If s -t = 5, what is the value of 3s - 3t = 3? 18 Manuel is 4 years older than Grace. The total of their ages in years is 30. How old will Manuel be 3 years from now? 20 Given the equation (5xy - y^2)/ (y-2) = 21 if y = 3, what is the value of x? 2 At what point do the lines described by the equations y = 3x -8 and y = -x + 4 intersect? (3,1) Given the equation (rw + 3k)/(k+w) = 4, what is r in terms of w and k? r = k/w + 4 If b < 0 and a/b > c/d, which of the following is always true? a. a < bc/d b. a > bc/d c. ad > bc d. a < bcd a < bc/d In a parallelogram, if x = 4y, what is the value of z? 144 degrees