QUESTION: 105

An artist sold 4 of his paintings. These represented 0.05 of all the artwork he had done. How many paintings had he made at that point?

Answer(s): B

Explanation:

Let p stand for the total number of paintings the artist has made. The 4 paintings he sold are equal to 0.05 of all his paintings. This can be expressed as an equation:
0.05p = 4
To solve for p, divide both sides by 0.05. This undoes the multiplication of 0.05 and p and gives you the value of p so that you know the total number of paintings the artist has painted.

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QUESTION: 106

One of the equal angles of an isosceles triangle is 40 degrees. What is the angle opposite the unequal side?

40 degrees
90 degrees
100 degrees
140 degrees

Answer(s): C

Explanation:

In an isosceles triangle, two of the sides are equal. This means that the angles opposite them are equal, too. If one is 40 degrees, then so is the other. To find the angle opposite the unequal side, begin by adding the equal angles.
40 + 40 = 80 degrees
To find the third angle, subtract this amount from 180 (the number of degrees in any triangle) 180 − 80 = 100 degrees (third angle).

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QUESTION: 107

If you divide 24x3 + 16x2 − 8x by 8x, how many x's will be there in the quotient?

0
5
2
−1

Answer(s): C

Explanation:

An easy way to do this example is to break it into three examples, dividing each by 8x. Divide the numbers first and then the letters. However, to divide the exponents of x, just find the difference between them. (Thus, x3 ÷ x
= x(3-1) = x2) 24x3/8x + 16x2/8x − 8x/8x = 3x2 + 2x − 1
Since the question asks only how many x's there are in the quotient (not how many x2's), the answer is 2.

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QUESTION: 108

A room is 19 feet long, 10 feet wide, and 8 feet high.
If you want to paint the walls and ceiling, how many square feet of surface will you have to cover with paint?

232 square feet
422 square feet
464 square feet
654 square feet

Answer(s): D

Explanation:

First, find the area (surface) of the ceiling. Since it is opposite the floor, it has the same length and width A = lw). 19 feet x 10 feet = 190 square feet (ceiling).
Next find the combined area of two matching (opposite) walls. Start with the walls formed by the length and height of the room. (Clear the decimal in the divisor.) 19 feet × 8 feet = 152 square feet (first wall). 152 feet × 2 = 304 square feet (matching walls).
Then find the area of the walls formed by the width and height of the room. 10 feet × 8 feet = 80 square feet (second wall). 80 feet × 2 = 160 square feet (matching walls).
Finally, combine all surfaces to be painted. 190 + 304 + 160 = 654 square feet

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Free ASVAB Section 6: Mathematics Knowledge Exam Braindumps (page: 27)

QUESTION: 105

Explanation:

QUESTION: 106

Explanation:

QUESTION: 107

Explanation:

QUESTION: 108

Explanation: