ASVAB Practice Test Mathematics Knowledge 44 Questions with Verified Answers,100% CORRECT

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ASVAB Practice Test Mathematics Knowledge 44 Questions with Verified Answers 1: If x = 8, what's the value of y in the equation y = (x2 ÷ 4) − 2? A. 14 B. 16 C. 18 D. 20 - CORRECT ANSWER 1 ... 4 2: The cube of 5 is A. 125 B. 25 C. 15 D. 50 - CORRECT ANSWER 125 3: 2.5 × 33 = A. 22.5 B. 75.0 C. 67.5 D. 675.0 - CORRECT ANSWER 67.5 4: The fourth root of 16 is A. 4 B. 1 C. 3 D. 2 - CORRECT ANSWER 2 5: What's the equation of a line that passes through points (0, -1) and (2, 3)? A. y = 2x − 1 B. y = 2x + 1 C. x = 2y − 1 D. x = 2y + 1 - CORRECT ANSWER A 6: (12 yards + 14 feet) ÷ 5 = A. 12 feet B. 51⁄5 feet C. 10 feet D. 21⁄2 yards - CORRECT ANSWER 10 7: x3 × x4 = A. x12 B. 2x7 C. 2x12 D. x7 - CORRECT ANSWER D 8: (x + 4)(x + 2) = A. x2 + 6x + 6 B. x2 + 8x + 8 C. x2 + 8x + 6 D. x2 + 6x + 8 - CORRECT ANSWER D 9: 1.5 × 103 = A. 45 B. 150 C. 1,500 D. 15 - CORRECT ANSWER 1500 10: Which of the following is a prime number? A. 27 B. 11 C. 8 D. 4 - CORRECT ANSWER 11 11: What's the mode of the following series of numbers? 4 4 8 8 8 10 10 12 12 A. 9 B. 8 C. 11 D. 10 - CORRECT ANSWER 8 12: If a = 4, then a3 ÷ a = A. 4 B. 12 C. 64 D. 16 - CORRECT ANSWER 16 13: Solve: 5! A. 25 B. 125 C. 120 D. 15 - CORRECT ANSWER 120 14: (900 × 2) ÷ 6 = A. 30 B. 300 C. 150 D. 3,000 - CORRECT ANSWER 300 15: If x = 2, then xx(x) = A. 8 B. 2xx C. 4 D. 6 - CORRECT ANSWER 8 16: If (5 + 1)(6 ÷ 3)(8 − 5) = (3 + 3)x, then x = A. 12 B. 3 C. 4 D. 6 - CORRECT ANSWER 6 17: √49 × √64 = A. 56 B. 15 C. 42 D. 3,136 - CORRECT ANSWER 56 18: Which of the following fractions is the largest? A. 2⁄5 B. 3⁄8 C. 7⁄10 D. 13⁄16 - CORRECT ANSWER D 19: If 2 + x ≥ 4, then x ≥ A. 6 B. 2 C. 4 D. 1⁄2 - CORRECT ANSWER 2 20: If a circle has a radius of 12 feet, what's its circumference most nearly? A. 24 feet B. 72 feet C. 75 feet D. 36 feet - CORRECT ANSWER 75 21: An aquarium measures 16-inches long × 8-inches deep × 18-inches high. What's its volume? A. 2,304 cubic inches B. 128 cubic inches C. 42 cubic inches D. 288 cubic inches - CORRECT ANSWER 2304 22: Triangle ABC (shown below) is a(n) A. right triangle B. obtuse triangle C. equilateral triangle D. isosceles triangle - CORRECT ANSWER equilateral triangle 23: The sum of the measures of the angles of a trapezoid is A. 360 degrees B. 540 degrees C. 180 degrees D. 720 degrees - CORRECT ANSWER 360 24: Angles 1 and 2 are A. supplementary B. complimentary C. both obtuse D. both right angles - CORRECT ANSWER complimentary 25: Convert 24% to a fraction. A. 6⁄25 B. 1⁄25 C. 6⁄24 D. 1⁄24 - CORRECT ANSWER 6/25 A cube has a volume of 64 cubic inches. What's its surface area? A. 16 square inches B. 64 square inches C. 96 square inches D. 32 square inches - CORRECT ANSWER 96 What's the sum of the integers from 1 to 300? A. 38,243 B. 45,150 C. 49,923 D. 52,024 - CORRECT ANSWER 45,150 Vision a box... Side box 5cm bottom right long side 4 cm front bottom short side 3cm The volume of this box is A. 12 cm 3 B. 15 cm 3 C. 20 cm 3 D. 60 cm3 - CORRECT ANSWER The correct answer is (D) 60 cm3. The volume of a cubic rectangle is length x width x height: 3 x 4 x 5 = 60 If n is a positive integer divisible by 7, and if n < 70, what is the greatest possible value of n? A. 49 B. 56 C. 63 D. 69 - CORRECT ANSWER The correct answer is (C) 63. If you know one multiple of a number, you can find the other multiples by adding and subtracting that number. The number 70 is divisible by 7. The greatest multiple that is less than 70 will be 70 − 7 = 63. Blair's average (arithmetic mean) on two physics tests is 7. What should Blair's score be on the next test to have an overall average of 8 for all the tests? A. 7 B. 8 C. 9 D. 10 - CORRECT ANSWER The correct answer is (D) 10. The arithmetic mean is defined as the sum of the terms divided by the number of terms. 7 = sum / 2 14 = sum Adding the next test's score will change the average to an 8, and the total terms to 3. 8 = (14 + new score) / 3 24 = 14 + new score 10 = new score (4x + 2) (x + 1) = A. 5x + 3 B. 4x2 + 6x + 2 C. 4x + 2x + 2 D. 4x2 + 2 - CORRECT ANSWER The correct answer is (B) 4x2 + 6x + 2 . This is a multiplying binomials problem. Multiply the first term in the first binomial by both terms in the second binomial: 4x2 + 4x Then multiply the second term in the first binomial by each term in the second binomial: 2x + 2 Adding them all together you get: 4x2 + 4x + 2x + 2 4x2 + 6x + 2 2 − 8 ÷ (24 ÷ 2) = A. -6 B. -¾ C. 1 D. 2 - CORRECT ANSWER The correct answer is (C) 1. Remember your order of operations: Complete operations within parentheses first. Calculate exponents. Then multiply and divide in order from left to right. Then add and subtract in order from left to right. 2 − 8 ÷ (24 ÷ 2) = 2 − 8 ÷ (16 ÷ 2) = 2 − 8 ÷ 8 = 2 − 1 = 1 3(x − 4) = 18, what is the value of x? A. 3/2 B. 22/3 C. 6 D. 10 - CORRECT ANSWER The correct answer is (D) 10. Begin by dividing both sides by 3 to open the parenthesis: x − 4 = 6 Add 4 to both sides to find x: x = 10 A scoutmaster is preparing his troop for their annual fishing expedition. He surveys each of his scouts to find out how many fishing poles they own. fishing pole owned What is the mode of this data set? A. 0 B. 1 C. 2 D. 3 - CORRECT ANSWER The correct answer is (A) 0. The mode of the data is the number that appears the most often. In this case the largest number of scouts (7) own 0 fishing poles. Line l passes through the point (−1, 2). Which of the following CANNOT be the equation of line l? A. y = 1 − x B. y = x + 1 C .x = −1 D. y = x + 3 - CORRECT ANSWER The correct answer is (B) y = x + 1. The slope-intercept form of a line is y = mx + b. Since the line passes through (−1,2), there are three possibilities: the line will have a slope (the "m" in front of the "x" variable), it will be vertical (x = −1), or it will be horizontal (y = 2). Plug x = −1 into all four equations to see which equation is not satisfied. The only answer choice that doesn't give us y = 2 is (B). If 511 = 52 x 5m, what is the value of m? A. 3 B. 5.5 C. 9 D. 12.5 - CORRECT ANSWER The correct answer is (C) 9. When multiplying two powers with the same base, you can always add the exponents. This means that 11 = 2 + m, so m = 9. Which of these expressions is equivalent to: 3x3y5 + 3x5y3 − (4x5y3 − 3x3y5) A. -x5y3 B. 6x5y3 − x3y5 C. 7x5y3 D. 6x3y5 − x5y3 - CORRECT ANSWER The correct answer is (D) 6x3y5 − x5y3. The key to this problem is distributing the negative sign. When distributing a negative sign, each term has a change of sign from negative to positive or from positive to negative. 3x3y5 + 3x5y3 − (4x5y3 − 3x3y5) 3x3y5 + 3x5y3 − 4x5y3 + 3x3y5 6x3y5 − x5y3 A rectangle is cut in half to create two squares that each have an area of 25. What is the perimeter of the original rectangle? A. 20 B. 25 C. 30 D. 35 - CORRECT ANSWER Question 11 Explanation: The correct answer is (C) 30. The formula to find the area of a square is side x side. If each square has an area of 25, then the dimensions of the rectangle are 5 x 10. The perimeter is the sum of all the sides, and would therefore be 5 + 10 + 5 + 10 = 30. If XY = YZ, and angle Y measures 90 degrees in the figure above, which of the following CANNOT be concluded? A. a = b B. XZ < XY C. a + b = 90 D. XZ2 = XY2 + YZ2 Question 12 Explanation: - CORRECT ANSWER The correct answer is (B) XZ < XY. Here we are looking for the choice that is NOT true. Since the triangle is isosceles (XY = YZ), then a = b = 45. This means that a + b = 90. (A) and (C) must be true. For all right triangles, the Pythagorean Theorem applies, so (D) is also true. (B) is the correct answer because it is not true that XZ < XY. In a right triangle, the hypotenuse is always the longest side. What is the value of this expression: A. 60 B. 17 C. 13 D. 11 - CORRECT ANSWER The correct answer is (C) 13. You need to add the 25 and 144 first, and then take the square root. The square root of 169 is 13. If (3.2 + 3.3 + 3.5)w = w, then what is the value of w? A. 0 B. 1/10 C. 1 D. 10 - CORRECT ANSWER The correct answer is (A) 0. First add up the three numbers that are in parentheses: 10w = w 10w = w will only be true when w = 0. There are two pizza ovens in a restaurant. Oven 1 burns three times as many pizzas as oven 2. If the restaurant had a total of 12 burnt pizzas on Saturday, how many pizzas did oven 2 burn? A. 3 B. 6 C. 9 D. 12 - CORRECT ANSWER The correct answer is (A) 3. Begin by setting up a system of equations to represent the situation, letting x represent oven 1 and y represent oven 2. x = 3y and x + y = 12 Substituting the first equation into the second: 3y + y = 12 so y = 3. What is the area of this trapezoid? A. 360 B. 440 C. 570 D. 620 - CORRECT ANSWER The correct answer is (C). The trapezoid consists of two smaller shapes: a triangle and a rectangle. Draw a line from point A across this figure to form the two shapes. Find the area of each shape and then add them together to find the area of the trapezoid. Area of rectangle = length x width. Therefore, the area of the rectangle is 18x20 = 360 Area of a triangle = 1/2(base)(height). The base of the triangle is 20. The height of the triangle is unknown. Use the Pythagorean Theorem to find the triangle's height. c2 = a2 + b2 where c is the triangle's hypotenuse. 292 = 202 + (height)2 841 = 400 + (height)2 441 = (height)2 The square root of 441 is 21 height = 21. Therefore, area of the triangle = (1/2)(20)(21) = 210. The total area of the trapezoid = 360+210 = 570. If x + y = 2 and x − y = 1, then: A. x = 1, y = 1 B. x = 2, y = 1 C. x = 3/2, y = 1/2 D. x = 0, y = 2 - CORRECT ANSWER C. x = 3/2, y = 1/2 [Show More]

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