Geometry and Basic Trig

SOH CAH TOA

100

Opposite over hypotenuse

Sine

200

Adjacent side is 4 and the hypotenuse is 5, what is cos(0)

4/5

300

A triangle has an opposite side of 5 and a hypotenuse of 13. what is the measure of 0 (rounded to the nearest degree)

3/4

400

A triangle has an opposite side of 5 and a hypotenuse of 13. What is the measure of 0 

Sin^-1(5/13)=22 degrees

500

Given a right triangle with hypotenuse of 10 and an adjacent side of 6, find the angle 0 using cosine

cost^-1(6/10)=53.1 degrees

Surface Area/ Volume

100

What is the formula to find the volume of a sphere?

V=4/3πr³

200

Find the surface area of a right triangular prism with the height of 5in, width of 12in, length of 9in, and a slant height/width of 13in.

330in²

300

The radius of a sphere is 151.5 centimeters. What is its volume? Round your answer to the nearest hundredth.

14.14cm³

400

Find the volume of a pyramid with a height of 8in and base length of 6in.

96in²

500

Find the surface area of a cylinder with the height of 8in and diameter of 6.

150.8in²

Probability

100

What is the probability of getting a sum of 7 when two dice are thrown?

6/36 or 1/6

200

A coin is thrown 3 times .what is the probability that atleast one head

7/8

300

 There are 5 green 7 red balls. Two balls are selected one by one without replacement. Find the probability that first is green and second is red.

35/132

400

Find the probability of getting a numbered card when a card is drawn from the pack of 52 cards.

36/52 or 9/13

500

1 card is drawn at random from the pack of 52 cards.
(i) Find the Probability that it is an honor (Ace, and all face cards) card.
(ii) It is a face card.

(i) 16/52 or 4/13

(ii) 12/52 or 3/13

Polygons

100

What is a 3 sided polygon

Triangle

200

What are the characteristics of a parallelogram?

2 sets of sides that are parallel with the other side.

300

This type of four sided polygon has opposite sides parallel and equal in length 

parallelogram

400

what is the sum of the interior angles of an octagon 

1080 

500

List all the Characteristics that squares share with other parallelograms

Four sides of equal length, opposite sides parallel, opposite angles equal, and diagonals that bisect each other at right angles.

Angles

100

The measure of an angle in a regular triangle?

60

200

The measure of an angle in a regular pentagon

108 degrees

300

The number of triangles in a 10-sided shape

8 triangles

400

The perimeter of a regular octagon with a side length of 15

120

500

The TOTAL EXTERIOR ANGLE MEASURE of a regular hexagon

360