ASVAB Math knowledge

The base of a right triangle is 1 foot, and the interior angles are 45-45-90. What is its area?

0.5 foot squared

Calculate the area of the circle shown in the figure. radius = 10

100m square cm Area = pi r^2 pi 10^2 = 100

A medium pizza has a diameter of 14 inches. What is its circumference?

14n

Given a circle with a radius of 0.85 meters, find the area of 1/3 of the circle. Use 3.14 for pi and round to the nearest hundredth.

2.27 meters squared Area = pi r^2 A= pi (.85)^2 A= pi (0.72) A= 3.14 (0.72) A= 2.27

The area of a circle is given as 24π. What is its radius?

2√6 A= nr^2 24n = nr^2 r = √24 = √4 √6=2√6

The circumference of a circle is 20 cm. What is the approximate radius of the circle?

3.2 cm

Calculate the area of a parallelogram with a base of 3 feet and a height of 1.2 feet.

3.6 square feet

You are told that one of the internal angles of a parallelogram is 54 degrees. This means at least one other angle must be equal to:

54 degrees

What is one possible value of x in this equation? x2-3x-18=0

6

6^5/6^2 means

6^5-2 = 6^3

Two parallel lines are intersected by a third line, which is perpendicular to the first parallel line. The value of another angle made by the intersecting lines is:

90 degrees

Area of a circle formula

A = (pie)r^2

Area of a rectangle formula

A = L x W

Area of a square

A = S * S A = a^2

Which of the following statements about trapezoids is true?

A trapezoid can have 4 angles which are not equal to one another.

Angle less than 90 degrees

Acute

A given rectangle has an area of 24 square feet. Which of the following cannot be one of its side lengths?

Any can be the length

Circumference of a circle

C = 2(pi)r C = pi * Diameter

! means

Factorial Ex: 5! = 5 * 4 * 3 * 2 * 1

Angle greater than 90 degrees

Obtuse

What is the name of a quadrilateral with four equal sides?

Rhombus

A line segment is always constrained between:

Two points

Volume formula

V = length x width x height *Always cubed

Equilateral triangle have

all sides the same Perimeter = Add all sides

An isosceles triangle has

two equal angles