ASVAB Mathematics Knowledge Test 2

Question 1

Which of the following angles is obtuse?

Accepted Answer

130 degrees

Answer

An obtuse angle is defined as an angle that measures greater than 90 degrees but less than 180 degrees. Among the given options, 130 degrees is the only angle that falls within this range. The other options represent acute angles (less than 90 degrees) or a right angle (exactly 90 degrees).

Question 2

Y^{2<\/sup>-49 = 0. Y could equal:}

Accepted Answer

7

Answer

The equation Y² - 49 = 0 can be solved by adding 49 to both sides, resulting in Y² = 49. To find Y, take the square root of both sides. The square root of 49 is 7, so Y could equal 7 (or -7, but 7 is the only positive option provided).

Question 3

If a circle has a diameter of 1.5 feet, what is its circumference?

Accepted Answer

1.5 π

Answer

The circumference of a circle is calculated using the formula C = πd, where 'd' is the diameter. Given that the diameter is 1.5 feet, substitute this value into the formula. Therefore, the circumference is 1.5π feet.

Question 4

Solve for the value of x in the following system: 2x + 4y = 15 3x - 4y = 10

Accepted Answer

5

Answer

This system of equations can be solved using the elimination method. Notice that the 'y' terms have opposite coefficients (+4y and -4y). Adding the two equations together eliminates 'y': (2x + 4y) + (3x - 4y) = 15 + 10, which simplifies to 5x = 25. Dividing both sides by 5 gives x = 5.

Question 5

What is the value of x in the rhombus seen in the figure?

Accepted Answer

145 degrees

Answer

In a rhombus, consecutive angles are supplementary, meaning they add up to 180 degrees. If one angle is 35 degrees, the adjacent angle (x) will be 180 - 35 degrees. Therefore, x = 145 degrees.

ASVAB - Armed Services Vocational Aptitude Battery Practice Test

ASVAB - Armed Services Vocational Aptitude Battery Practice Test

ASVAB Mathematics Knowledge Test 2