Free Printable 2425 EOC Review

1.

Mr. Webb fills a beaker in the shape of a cylinder with a diameter of 10 centimeters with a solution. the solution level increases by 1 centimeter per second. As the number of seconds approaches h, which statement is true?

a)

The volume of the solution in the beaker approaches $V=\pi h\left(5\right)^2$ cubic centimeters

b)

The volume of the solution in the beaker approaches $V=\pi h\left(10\right)^2$ cubic centimeters

c)

The volume of the solution in the beaker approaches $V=5\pi\left(h\right)^2$ cubic centimeters

d)

The volume of the solution in the beaker approaches $V=10\pi\left(h\right)^2$ cubic centimeters

2.

A cylindrical container with a height of 15 centimeters is being filled with oil at a constant rate. If the radius of the base is 3 centimeters, what is the volume of oil in the container after t seconds?

a)

The volume of oil is $V=\pi t\left(6\right)^2$ cubic centimeters

b)

The volume of oil is $V=3\pi t\left(3\right)^2$ cubic centimeters

c)

The volume of oil is $V=\pi t\left(15\right)^2$ cubic centimeters

d)

The volume of oil is $V=\pi t\left(3\right)^2$ cubic centimeters

3.

Which transformations map $\Delta ABC\ onto\ \Delta A'B'C'$ ?

Choose 2.

a)

Reflection in the x-axis, followed by a reflection in the y-axis

b)

Reflection in the x-axis followed by a rotation of $90\degree\$

counter clockwise about the origin.

c)

Reflection across the line $y=-x$

d)

Rotation of $180\degree$

about the origin

e)

Reflection across the line $y=x$

4.

Consider the triangles, where $\Delta ABC\sim\Delta DBE$ .

Which 2 statements must be true?

a)

Corresponding angles of similar triangles are complementary, therefore

$m\angle ABC\ +\ m\angle DBE\ =\ 90\degree$

b)

Corresponding angles of similar triangles are congruent, therefore

$\angle BAC\cong\angle BDE$

c)

Corresponding angles of similar triangles are proportional, therefore

$m\angle A=\frac{1}{3}\cdot m\angle D$

d)

Corresponding sides of similar triangles are congruent, therefore

$\overline{BC}\ \cong\overline{BE}$

e)

Corresponding sides of similar triangles are proportional, therefore

$\frac{AB}{AC}=\frac{DB}{DE}$

5.

Let event M be that the student is a college freshman.

Let event N be that the student prefers to listen to hip-hop.

What is the probability that a randomly selected student will be a college freshman or prefer listening to hip-hop?

Round your answer to the nearest hundredth.

a)

0.45

b)

0.51

c)

0.86

d)

0.93

6.

Which statement about parallelogram ABCD must be true?

a)

A rotation of $180\degree$ about point I will map parallelogram ABCD onto itself.

b)

A rotation of $90\degree$

about point I will map parallelogram ABCD onto itself.

c)

A reflection across $\overline{HF}$

carries the figure onto itself

d)

A reflection across $\overline{EG}$

carries the figure onto itself

7.

$\overline{ED}\ and\ \overline{AB}\ are\ both\ perpendicular\ to\ \overline{BD.}$

If the $m\angle A\ is\ 63\degree,\ find\ the\ m\angle ECD.$

a)

$27\degree$

b)

$63\degree$

c)

$90\degree$

d)

$117\degree$

8.

A sphere is inside of a cube. The cube has side lengths of 12 inches. The sphere has a diameter of 12 inches. What is the approximate volume of the space around the sphere inside the cube.

(The volume of a sphere = $\frac{4}{3}\cdot\pi\cdot r^3$ )

a)

$823\ in^3$

b)

$905\ in^3$

c)

$1,276\ in^3$

d)

$1728\ in^3$

9.

Consider trapezoid MNPQ. If trapezoid MNPQ is transformed according to the rule $\left(x,\ y\right)\longrightarrow\left(\frac{5}{3}x,\ \frac{5}{3}y\right)$ to form trapezoid $M'N'P'Q'$ , which two statements are true?

a)

The area is $M'N'P'Q'\$ is less than the area of

$MNPQ.$

b)

The area of

$M'N'P'Q'$ is greater than the area of

$MNPQ$

c)

The length of the segments in

$M'N'P'Q'$ is

less than the lengths of the segments in

$MNPQ.$

d)

The length of the segments in

$M'N'P'Q'$ is greater than the lengths of the segments in

MNPQ

e)

$MNPQ\cong M'N'P'Q'$

10.

The diagram to the left shows a plot of land that borders a street.

Using the Law of Cosines, determine the amount of street frontage to the nearest foot.

a)

41 ft

b)

50 ft

c)

1697 ft

d)

2,453 ft

11.

A group of students were surveyed about their favorite place to study before a test, at the library or at home.

What is the probability that a student will study at the library, given that they prefer to study at home?

Round your answer to the nearest hundredth.

a)

0.11

b)

0.14

c)

0.33

d)

0.78

12.

Write the equation of a line that is parallel to 3x - 4y = -12 and passes through the point (-28, -10)

a)

$y=\frac{3}{4}x\ +11$

b)

$y=\frac{3}{4}x+31$

c)

$y=-\frac{3}{4}x+11$

d)

$y=-\frac{3}{4}x+31$

13.

Match the following

a)

$\frac{4}{3}\pi r^3$

1.

Volume of a Sphere

b)

$\frac{1}{3} \pi r^2 h$

2.

Volume of a Cone

c)

lwh

3.

Volume of a Right Rectangular Prism

d)

$\frac{1}{3}s^2h$

4.

Volume of a Square Pyramid

e)

$\pi r^2h$

5.

Volume of a Cylinder

2425 EOC Review

Total questions: 13

Worksheet time: 30mins

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