ASVAB Math Knowledge Practice Test 653111 Results

Your Results Global Average
Questions 5 5
Correct 0 2.76
Score 0% 55%

Review

1

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

24% Answer Correctly

c = π d

c = π r2

c = π r

c = π d2


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

Simplify (7a)(4ab) + (9a2)(6b).

65% Answer Correctly
165a2b
26a2b
82ab2
82a2b

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.

(7a)(4ab) + (9a2)(6b)
(7 x 4)(a x a x b) + (9 x 6)(a2 x b)
(28)(a1+1 x b) + (54)(a2b)
28a2b + 54a2b
82a2b


3

If angle a = 55° and angle b = 44° what is the length of angle c?

71% Answer Correctly
81°
87°
90°
92°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 55° - 44° = 81°


4

If the base of this triangle is 5 and the height is 5, what is the area?

59% Answer Correctly
70
52
55
12\(\frac{1}{2}\)

Solution

The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 5 x 5 = \( \frac{25}{2} \) = 12\(\frac{1}{2}\)


5

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

58% Answer Correctly

exterior angle = sum of two adjacent interior angles

sum of interior angles = 180°

area = ½bh

perimeter = sum of side lengths


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.