ASVAB MATHEMATICS KNOWLEDGE. EXAM QUESTIONS

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ASVAB MATHEMATICS KNOWLEDGE. EXAM QUESTIONS

Actual Qs and Ans - Expert-Verified Explanation -Guaranteed passing score -14 Questions and Answers

-Format: Multiple-choice / Flashcard

Question 1: if (3.2 + 3.3 + 3.5)w = w, then what is the value of w?

Answer:

First add up the three numbers that are in parentheses:

10w = w 10w = w will only be true when w = 0.

Question 2: 3(x -

4) = 18, what is the value of x?

Answer:

Begin by dividing both sides by 3 to open the parenthesis:

x - 4 = 6

Add 4 to both sides to find x:

x = 10 Question 3: if XY = YZ, and angle Y measures 90 degrees in the figure above, which of the following CANNOT be concluded?

Answer:

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.

Question 4: 3x^3y^5 + 3x^5y^3 - (4x^5y^3 - 3x^3y^5)

Answer:

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.3x^3y^5 + 3x^5y^3 - (4x^5y^3 - 3x^3y^5) 3x^3y^5 + 3x^5y^3 - 4x^5y^3 + 3x^3y^5 6x^3y^5 - x^5y^3

Question 5: The volume of this box is 3cm/4cm/5cm?

Answer:

3 4 5=60 Question 6: if n is a positive integer divisible by 7, and if n < 70, what is the greatest possible value of n?

Answer:

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.Question 7: There are two pizza ovens in a restaurant. Oven 1 burns three times as many pizzas as oven

• If the restaurant had a total of 12 burnt pizzas on Saturday, how many pizzas did oven 2

burn?

Answer:

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.

Question 8: (4x +

2) (x + 1) =

Answer:

This is a multiplying binomials problem. Multiply the first term in the first binomial by both terms in the

second binomial:

4x^2 + 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:

4x^2 + 4x + 2x + 2 4x^2 + 6x + 2 Question 9: 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?

Answer:

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

Question 10: What is the area of this trapezoid 29cm /20cm /18cm ?

Answer:

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.Question 11: 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?

Answer:

The arithmetic mean is defined as the sum of the terms divided by the number of terms.

• = sum / 2

14 = sum Adding the next test's score will change the average to an 8, and the total terms to 3.

• = (14 + new score) / 3

24 = 14 + new score 10 = new score

Question 12: 5^11 = 5^2 x 5^m, what is the value of m?

Answer:

When multiplying two powers with the same base, you can always add the exponents. This means that 11 = 2 + m, so m = 9.Question 13: Line l passes through the point (-1, 2). Which of the following CANNOT be the equation of line l?

Answer:

The slope-intercept form of a line is y = mx +

• 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 y=x+1

Question 14: 2- 8 ÷ (24 ÷

2) =

Answer:

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