ASVAB Math Knowledge Practice Test 959763 Results

Your Results Global Average
Questions 5 5
Correct 0 3.29
Score 0% 66%

Review

1

What is the circumference of a circle with a diameter of 14?

71% Answer Correctly
11π
18π
16π
14π

Solution

The formula for circumference is circle diameter x π:

c = πd
c = 14π


2

If angle a = 39° and angle b = 60° what is the length of angle c?

71% Answer Correctly
91°
81°
121°
75°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 39° - 60° = 81°


3

The dimensions of this cube are height (h) = 6, length (l) = 4, and width (w) = 4. What is the surface area?

51% Answer Correctly
166
34
128
52

Solution

The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 4 x 4) + (2 x 4 x 6) + (2 x 4 x 6)
sa = (32) + (48) + (48)
sa = 128


4

Which of the following statements about math operations is incorrect?

70% Answer Correctly

all of these statements are correct

you can subtract monomials that have the same variable and the same exponent

you can multiply monomials that have different variables and different exponents

you can add monomials that have the same variable and the same exponent


Solution

You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.


5

Simplify (7a)(5ab) + (8a2)(9b).

65% Answer Correctly
107a2b
-37a2b
37a2b
-37ab2

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)(5ab) + (8a2)(9b)
(7 x 5)(a x a x b) + (8 x 9)(a2 x b)
(35)(a1+1 x b) + (72)(a2b)
35a2b + 72a2b
107a2b