Download Geometry and Finite Math X

Geometry and Finite Math X
Final Exam Review Packet
Name ______________
Date _______________
Topics Included on the Exam
Unit 8: Right Triangles and Trigonometry
Unit 9: Transformations
Unit 10: Areas of Plane Figures
Unit 11: Surface Areas and Volumes of Solids
Unit 12: Circles
Unit 13: Sequences and Series
Unit 14: Permutations, Combinations and Probability
Unit 15: Statistics
Multiple Choice: Circle the letter to the correct answer.
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You may bring one
sheet of paper with
notes to the exam
(front and back.) Work
on your study guide as
you do the problems in
this packet. Do not wait
until the night before
the exam to make your
study guide!
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11. Given the pre-image, which of the
following images is a reflection
over the x-axis?
A.
B.
C.
D.
For 12 – 14, describe the transformation from the pre-image to the image.
12.
14.
13.
A)
B)
C)
D)
Reflection over y = x.
Rotation 90 clockwise
Translation: 4 units right and 2 units up
Rotation 180
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15.
ABC is a dilation of
A) 2
B) 3
APQ . What is the scale factor?
C) 6
D) 12
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Find the volume of the sphere.
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30. Find the measure of the tangent segment.
Identify the center and
radius of the circle.
Write the equation of the circle.
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38.
Is the sequence geometric? If so, find the common ratio and the next 2 terms.
7, -1.4, 0.28, -0.056
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53.
In a kindergarten class, there is a 0.30 chance of catching virus in the classroom.
What is the probability that both Paul and Laurie catch the virus?
a. 0.30
b. 0.60
c. 0.09
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d. 0.15
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57. Which of the following data sets has the smallest standard deviation?
a. 4, 5, 6, 7
b. 8, 8, 8, 9
c. 1, 1, 3, 3
d. 2, 2, 2, 2
58.
59. Suppose that 16-ounce bags of chocolate chip cookies are produced with weights that follow a
Normal distribution with mean weight 16.1 ounces and standard deviation 0.1 ounce. The percent
of bags that will contain between 16.0 and 16.1 ounces is about
(a) 10
(b) 16
(c) 34
(d) 68
(e) 95
60. A Normal density curve has which of the following properties?
(a) It is symmetric.
(b) The peak of the curve is at the mean of the distribution.
(c) The spread of the curve is measured by its standard deviation.
(d) All of the properties (a) to (c) are correct.
(e) None of the properties (a) to (c) is correct
61. Many professional schools require applicants to take a standardized test. Suppose that 1000
students take the test, and you find that your mark of 63 (out of 100) is the 73rd percentile.
This means that
(a) at least 73% of the people scored 63 or better.
(b) at least 270 people scored 73 or better.
(c) at least 730 people scored 73 or better.
(d) at least 27% of the people scored 73 or worse.
(e) at least 270 people scored 63 or better.
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Free Response: Show work for all problems below:
1. According the Journal of Psychology, IQ scores are Normally distributed with a mean of
100 and a standard deviation of 15. Use the Normal distribution to answer each of the
following below.
2.
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3.
4.
Draw a diagram to help you.
5. The two solids to the right are similar. Find each ratio:
a. Ratio of their heights:
b. Ratio of their surface areas:
c. Ratio of their volumes:
6.
Find the coordinates of ABCD
A ___________
B ___________
C ___________
D ___________
Reflect ABCD over the y-axis. Graph
the new image, and write the
coordinates below.
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