ASVAB Math Knowledge Practice Test 225438 Results

Your Results Global Average
Questions 5 5
Correct 0 2.87
Score 0% 57%

Review

1

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

50% Answer Correctly

the area of a parallelogram is base x height

a parallelogram is a quadrilateral

opposite sides and adjacent angles are equal

the perimeter of a parallelogram is the sum of the lengths of all sides


Solution

A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).


2

For this diagram, the Pythagorean theorem states that b2 = ?

47% Answer Correctly

c - a

c2 - a2

c2 + a2

a2 - c2


Solution

The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)


3

What is 4a3 - 4a3?

74% Answer Correctly
0a3
0
a36
6

Solution

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

4a3 - 4a3 = 0a3


4

Which types of triangles will always have at least two sides of equal length?

54% Answer Correctly

equilateral and right

isosceles and right

equilateral, isosceles and right

equilateral and isosceles


Solution

An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.


5

When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).

61% Answer Correctly

acute, obtuse

vertical, supplementary

obtuse, acute

supplementary, vertical


Solution

Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).