ASVAB Math Knowledge Practice Test 289947 Results

Your Results Global Average
Questions 5 5
Correct 0 2.86
Score 0% 57%

Review

1

Simplify (4a)(6ab) - (9a2)(5b).

62% Answer Correctly
21ab2
140a2b
69a2b
-21a2b

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)(6ab) - (9a2)(5b)
(4 x 6)(a x a x b) - (9 x 5)(a2 x b)
(24)(a1+1 x b) - (45)(a2b)
24a2b - 45a2b
-21a2b


2

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

24% Answer Correctly

c = π r

c = π d2

c = π d

c = π r2


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.


3

A right angle measures:

91% Answer Correctly

180°

360°

45°

90°


Solution

A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.


4

Which of the following statements about a triangle is not true?

58% Answer Correctly

perimeter = sum of side lengths

area = ½bh

exterior angle = sum of two adjacent interior angles

sum of interior angles = 180°


Solution

A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.


5

The dimensions of this trapezoid are a = 5, b = 9, c = 7, d = 8, and h = 3. What is the area?

51% Answer Correctly
32\(\frac{1}{2}\)
13\(\frac{1}{2}\)
26
25\(\frac{1}{2}\)

Solution

The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:

a = ½(b + d)(h)
a = ½(9 + 8)(3)
a = ½(17)(3)
a = ½(51) = \( \frac{51}{2} \)
a = 25\(\frac{1}{2}\)