ASVAB Math Knowledge Practice Test 966873 Results

Your Results Global Average
Questions 5 5
Correct 0 2.89
Score 0% 58%

Review

1

Which of the following statements about parallel lines with a transversal is not correct?

36% Answer Correctly

all of the angles formed by a transversal are called interior angles

same-side interior angles are complementary and equal each other

all acute angles equal each other

angles in the same position on different parallel lines are called corresponding angles


Solution

Parallel lines are lines that share the same slope (steepness) and therefore never intersect. A transversal occurs when a set of parallel lines are crossed by another line. All of the angles formed by a transversal are called interior angles and angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°) and are called corresponding angles. Alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°) and all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other. Same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°).


2

A(n) __________ is to a parallelogram as a square is to a rectangle.

51% Answer Correctly

trapezoid

quadrilateral

triangle

rhombus


Solution

A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.


3

What is the area of a circle with a radius of 5?

69% Answer Correctly
25π
16π
3π
7π

Solution

The formula for area is πr2:

a = πr2
a = π(52)
a = 25π


4

Order the following types of angle from least number of degrees to most number of degrees.

74% Answer Correctly

acute, obtuse, right

acute, right, obtuse

right, acute, obtuse

right, obtuse, acute


Solution

An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.


5

Simplify (8a)(7ab) - (7a2)(6b).

59% Answer Correctly
14a2b
98ab2
98a2b
195a2b

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(8a)(7ab) - (7a2)(6b)
(8 x 7)(a x a x b) - (7 x 6)(a2 x b)
(56)(a1+1 x b) - (42)(a2b)
56a2b - 42a2b
14a2b