ASVAB Math Knowledge Practice Test 148294 Results

Your Results Global Average
Questions 5 5
Correct 0 2.45
Score 0% 49%

Review

1

The formula for the area of a circle is which of the following?

24% Answer Correctly

c = π d2

c = π r2

c = π r

c = π d


Solution

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.


2

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

36% Answer Correctly

all acute angles equal each other

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

same-side interior angles are complementary and equal each other

all of the angles formed by a transversal are called interior 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°).


3

What is the circumference of a circle with a diameter of 5?

71% Answer Correctly
28π

Solution

The formula for circumference is circle diameter x π:

c = πd
c = 5π


4

A cylinder with a radius (r) and a height (h) has a surface area of:

53% Answer Correctly

π r2h

2(π r2) + 2π rh

π r2h2

4π r2


Solution

A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.


5

Simplify (4a)(2ab) - (2a2)(6b).

62% Answer Correctly
48a2b
4ab2
-4a2b
20ab2

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.

(4a)(2ab) - (2a2)(6b)
(4 x 2)(a x a x b) - (2 x 6)(a2 x b)
(8)(a1+1 x b) - (12)(a2b)
8a2b - 12a2b
-4a2b