EOC Practice Test Questions

Add the volume of a sphere with radius of 3 mm to the volume of a cylinder with a radius of 3 mm and a height of 9 mm.

A company wants to determine the amount of a vitamin mix that can be enclosed in a capsule. The capsule has a radius of 3 mm and a length of 15 mm. Explain how to find the amount of vitamin mix that fits in the capsule.

Cone = 3 units Sphere = 6 units

A cone and a sphere have the same volume. The height of the cone is 96 units. What could be the values for the radius of the cone and the sphere?

rectangle

A cross section of a right triangular prism by a plane cut through the points shown and is also perpendicular to the opposite base. What is the most specific name of the shape representing the cross section?

Rectangle

A cube is sliced as shown. What is the shape of the cross section?

Quadrant IV

A figure is fully contained in Quadrant II. The figure is transformed as shown. In which quadrant does the resulting image lie?

823.22

A globe has a diameter of 12 inches. It fits inside of a cube-shaped box that has a side length of 12 inches. What is the volume, rounded to the nearest hundredth of a cubic inch, of the space inside of the box that is not taken up by the globe?

8/17

A right triangle ABC is shown. What is the cos A?

87.4

A study reports that in 2010 the population of the United States was 308,745,538 people and the land area was approximately 3,531,905 square miles. What was the population density, in people per square mile, rounded to the nearest tenth?

0.8

A total of 50 students play either soccer or lacrosse. What is the probability that a student plays soccer or is a girl?

22

A triangle is shown. What is the length, in inches, of side a?

4

An online retailer conducts a random survey of its customers. The survey shows that 80% of the customers receive their purchase within four days, and 95% of those customers are satisfied with the quality of their purchases. What percent of all customers receive their package within four days and are not satisfied with the quality of their purchases?

cos A = sin B

Angle A is the compliment of Angle B. Which equation about the two angles is true?

Translate Circle by (x-a, y-b) and dilate by a factor of t/s.

Circle J is located in the first quadrant with center (a,b) and radius s. Felipe transforms Circle J to prove that it is similar to any circle centered at the origin with radius t. What sequence of transformations did Felipe use?

(x-1)^2 + (y-1)^2 = 16

Create an equation for the circle.

No because the probability that the student arrives late to school and went to bed by 10:00 p.m. is 8/72 which is the same as 1/9. The probability of both situations is equivalent to 1/9 so the events are independent.

During a 90-day semester, a student records whether he arrives at school on time and whether he goes to bed by 10:00 p.m. the night before. the results are below. Does the student arriving at school on time depend on whether the student went to bed by 10:00 p.m.?

P(A) = 0.5 P(B) = 0.5

Events A and B are independent. P(A and B) = 0.25. What are possible probabilities for events A and B?

16687 people

In 2014 the population of Hong Kong was estimated to be approximately 7,112,688 people The city covers an area of approximately 426.25 square miles. What was the population density of Hong Kong in 2014?

1080/400

Jeremy wants to know the density of a rock in grams per cubic centimeter. The rock has a mass of 1.08 kilograms and a volume of 400 cubic centimeters. What is the density of the rock in grams per cubic centimeter.

He draws a blue piece.

Josh has a bag containing pieces of candy. The bag contains 10 red circular pieces, 10 red square pieces, 10 blue triangular pieces, and 10 blue star-shaped pieces. He draws a red piece of candy from the bag. What is the compliment of this event?

The lines must be coplanar.

Kevin asked Olivia what parallel lines are. Olivia responded, "They are lines that never intersect." What piece of information is missing from Olivia's response?

Dilation

Kyle performs a transformation on a triangle. The resulting triangle is similar but not congruent to the original triangle. Which transformation did kyle perform on the triangle?

y = (1/5)x + 8

Line k has a slope of -5. Line j is perpendicular to line k and passes through the point (5, 9). Create the equation for line j.

1/3

Line segment AB has endpoints A (-1.5,0) and B (4.5,8) Point C is on line segment AB and is located at (0,2). What is the ratio of AC:CB?

1/4

Line segment AC had endpoints A (-1, -3.5) and C (5, -1). Point B is on line segment AC and is located at (0.2, -3). What is the ratio of AB/BC?

A rotation of 180 degrees clockwise about the center of the parallelogram.

Parallelogram ABCD is shown. Point E is the midpoint of segment AB. Point F is the midpoint of segment CD. Which transformation carries the parallelogram onto itself?

97

Quadrilateral ABCD is inscribed in circle O, as shown. What is the value of y?

2/5

Square ABCD has vertices at A (1,2) and B (3, -3). What is the slope of line BC?

120,530.340

The planets in our solar system can be modeled using spheres. The diameters of Jupiter and Saturn are shown in the diagram. If the volume of Saturn is 59.9% of the volume of Jupiter, what is Saturn's diameter?

0.075

The two way table shows the number of births, in thousands, in the United States for the years 2010 and 2011. A baby was born in 2011. What is the probability that the baby was born in February?

20

Triangle A'B'C' is created by dilating ABC by a scale factor of 4. What is the length of line A'B' ?

3.25

Triangle ABC has vertices A (1,1), B (2.5, 3) and C (0,-3). It is dilated by a scale factor of 1/2 about the origin to create triangle A'B'C'. What is the length, in units, of side B'C'?

21.8

Triangle ABC has vertices at (-4,0), (-1,6) and (3,1). What is the perimeter of triangle ABC, rounded to the nearest tenth?

A triangle with two angles that measure 40 degrees.

Triangle XYZ is shown. Which triangle must be similar to traingle XYZ?

0.8

Two events, A and B, are independent. P(A)= 0.3 P(A and B)= 0.24 What is P(B)

6, 8, 10

What are the side lengths of a triangle PQR where the area is not 6 and the cos p = 0.6?

60

What is the area in square feet of the following sign?

y= 0.4x + 0.8

What is the equation of the line that is perpendicular to line m and passes through the point (3,2).

60

What is the measure, in degrees, of <ABC?

Cone

Which 3-dimensional figure results from rotating the triangle 360 degrees about line AC?

Perpendicular Lines

Which term is defined as two intersecting lines that form four right angles in a plane?