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EOCA Review (Pre-AP Geo)

Total questions: 85

Worksheet time: 21hrs 15mins

Name
Class
Date
1.
Ben has a basket of 5 red balls, 3 yellow balls, and 2 green balls. What is the probability that the probability he randomly chooses will be red?
a)
1/2
b)
1/5
c)
1/10
d)
5/8
2.
A bag has 3 red marbles, 2 blue and 4 yellow. What is the theoretical probability of pulling a red?
a)
3/10
b)
3/9
c)
1/9
d)
1/3
3.
A jar contains 2 pink, 6 red, and 4 blue marbles. If you pick one marble without looking, what is the probability that the marble you pick will be red or blue?
a)
5/6
b)
1/2
c)
1/3
d)
1/6
4.
P(not A) = 
*Remember to simplify.*
a)
6/8
b)
3/4
c)
2/8
d)
1/4
5.
Clare picks a marble at random, puts it back, and then picks another marble at random.
a)
Dependent
b)
Independent
6.
Clara picks a card at random, puts it back, and then picks another card at random.
a)
Independent
b)
Dependent
7.
Pablo chooses a colored marble from a mixed bag and writes down the color. Pablo leaves it out and then draws another.
a)
Independent
b)
Dependent
8.
A jar contains 4 white chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced.
P(white, then purple, then black)
a)
1/36
b)
2/39
c)
5/41
d)
6/43
9.
Andrew picks one marble at a time from a box and replaces it. He repeats this process 25 times and records the results in the table. Based on the table, which color marble has an experimental probability of 1/5?
a)
Yellow
b)
Red
c)
Blue
d)
Green
10.
What is the mode?
500, 600, 700, 800, 500, 600
a)
500 and 600
b)
700
c)
800 and 700
d)
500
11.
Find the median of the data set
9, 8, 7, 11, 7, 16, 3
a)
8
b)
7
c)
3
d)
2
12.
Ervin bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the range of Ervin's scores?
a)
193
b)
127
c)
60
d)
66
13.
What was the day with the least amount of cars sold? 
a)
Monday
b)
Tuesday
c)
Wednesday
d)
Thursday
14.
What shape is a normal distribution curve?
a)
Half curve
b)
Round curve
c)
Bell curve
d)
Square curve
15.
The normal curve is symmetrical about the mean.
a)
True
b)
False
16.

According to the empirical rule, what percentage of data falls within 1 standard deviation of the mean?

a)

25%

b)

68%

c)

95%

d)

99.7%

17.

According to the empirical rule, how much of the data falls within 2 standard deviations of the mean?

a)

25%

b)

68%

c)

95%

d)

99.7%

18.

If this is the graph of data normally distributed with a mean of 30 and a standard deviation of 5, what label (number) is written at the blue circle?

a)

20

b)

15

c)

40

d)

30

19.

If this is the graph of data normally distributed with a mean of 30 and a standard deviation of 5, what label (number) is written at the blue circle?

a)

40

b)

35

c)

45

d)

50

20.
Describe the shape of the graph.
a)
Skewed right
b)
Skewed left
c)
Uniform
d)
Symmetrical
21.
Describe the histogram:
a)
Left Skewed
b)
Normal/Symmetrical
c)
Right Skewed
d)
Uniform/Flat
22.

Which has a higher median?

a)

Florida

b)

Texas

23.
Which box and whisker plot shows more "spread out" data?
a)
Top plot
b)
Bottom plot
24.

Keyli gathers the heights of a random sample of six graders and seventh graders and displays the data in box plots. What can she say about the data sets?

a)

The 6th grade sample has greater variability.

b)

The 7th grade sample has greater variability.

c)

The 6th grade sample has the greater median.

d)

The ranges are equal for both samples.

25.

(a)   is a measure of how close measurements come to each other when they are made in the same way.

26.

How close a measurement is to the accepted value is called (a)   .

27.
This bullseye demonstrates...
a)
High Accuracy & High Precision
b)
High Accuracy & Low Precision
c)
Low Accuracy & High Precision
d)
Low Accuracy & Low Precision
28.

This bullseye demonstrates...

a)

High Accuracy & High Precision

b)

High Accuracy & Low Precision

c)

Low Accuracy & High Precision

d)

Low Accuracy & Low Precision

29.

Describe the accuracy and precision of the image

a)

Very accurate and somewhat precise

b)

Very accurate but not precise at all

c)

Not accurate at all but very precise

d)

not accurate and not very precise

30.

What is the measurement of the missing angle?

a)

180°

b)

50°

c)

45°

31.

Find the measure of the missing arc (?).

a)

98o

b)

140o

c)

85o

d)

94o

32.

Find the measure of the missing angle (?).

a)

115o

b)

50o

c)

124o

d)

95o

33.

Find the measure of arc NM

a)

192o

b)

217o

c)

186o

d)

124o

34.
a)
A
b)
B
c)
C
d)
D
35.

The rectangle shown has coordinates (3, 2), (-2, 2), (-2, -1), (3, -1)

What is the length of the longest side of the rectangle?

a)

4 units

b)

5 units

c)

2 units

d)

3 units

36.

Points G, H, and I are plotted on the coordinate grid. How many units are between points G and H?

a)

15 units

b)

14 units

c)

10 units

d)

9 units

37.

Find the distance between the following ordered pairs: (0, 6) and (0, -4)

a)

6 units

b)

4 units

c)

10 units

d)

11 units

38.

What is the distance between point H and G?

a)

3

b)

4

c)

5

d)

6

39.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
40.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
 Correpsonding
d)
Vertical Angles
41.
What angle corresponds to angle 6?
a)
angle 2
b)
angle 4
c)
angle 7
d)
angle 8
42.
Slopes of perpendicular lines are...
a)
opposite reciprocals.
b)
opposites.
c)
identical.
d)
always 7.
43.
What slope is parallel to:  
m = 4
a)
4
b)
-1/4
c)
-4
d)
1/4
44.
y = 6x + 2
y = -6x + 2
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
45.

Are the two linear equations parallel, perpendicular, or neither?

a)

Parallel

b)

Perpendicular

c)

Neither

46.
What is the equation of this line in slope-intercept form?
a)
y = 2x + 5
b)
y = -2x + 5
c)
y = -2x
d)
y = 5
47.
Which of the following lines goes through the point (0, 4) and is parallel to y = 5x - 3?
a)
y = 1/5x - 3
b)
y= 5x - 7
c)
y = 5x + 4
d)
y = -5x - 3
48.
What is the acronym to help you remember the ratios to use in trigonometry?
a)
RIGHTANG
b)
SOHCAHTOA
c)
SHOCHATOA
49.
 FInd tanX
a)
32/40
b)
40/24
c)
32/24
d)
24/32
50.
 Find cosA
a)
30/16
b)
30/34
c)
30/15
d)
16/34
51.

Find x round to the nearest tenth.

a)

46.1

b)

4.9

c)

16.4

d)

26.9

52.
Which Trig function do you use?
a)
Sine
b)
Cosine
c)
Tangent
53.
Set up the problem.
a)
sin(47) = x/28
b)
cos(47) = x/28
c)
tan(47) = x/28
d)
cos(47) = 28/x
54.
What is the length of side x?
a)
6.57 cm
b)
7 cm
c)
7.44 cm
d)
26.33 cm
55.
Which Trig function do you use?
a)
Sine
b)
Cosine
c)
Tangent
56.

 Point N (_____, _____) is 13\frac{1}{3} the distance from J to K.

a)

(40, 62)

b)

(64 ,40)

c)

(28, 73)

d)

(76, 29)

57.

 Point Q is ( _____, _____) is 34\frac{3}{4} the distance from A to B.

a)

(-5, -2)

b)

(2, 5)

c)

(5, -2)

d)

(1, 4)

58.

What is Reason B?

a)

Definition of Congruence

b)

Definition of Vertical Angles

c)

Reflexive Property

d)

Vertical Angle Theorem

59.

What is Reason D?

a)

SSS Congruence

b)

SAS Congruence

c)

ASA Congruence

d)

AAS Congruence

e)

HL Congruence

60.

What is Reason B?

a)

Definition of Congruence

b)

Definition of Equality

c)

Definition of Midpoint

61.

What is Reason F?

a)

SSS Congruence

b)

SAS Congruence

c)

ASA Congruence

d)

AAS Congruence

e)

HL Congruence

62.
When you translate, (x-4,y) will move _____.
a)
4 units right
b)
4 units left
c)
4 units up
d)
4 units down
63.
Identify the transformation from ABC to A'B'C'.
a)
90o clockwise rotation
b)
90o counter clockwise rotation
c)
Reflection across the y-axis
d)
Reflection across the x-axis
64.
Identify the transformation from ABCD to A'B'C'D'.
a)
Translation
b)
Reflection across the y-axis
c)
Reflection across the x-axis
d)
90o counter clockwise Rotation
65.
Identify the transformation.
a)
Reflection across y-axis
b)
90 Rotation counter clockwise
c)
Translation 5 units left, 1 unit up.
d)
Translation 5 units right, 1 unit down
66.
Point (-5,2) is reflected over the y axis.  Where is the new point located?
a)
(5,2)
b)
(-5,-2)
c)
(-5,2)
d)
(5,-2)
67.
Apply the following rule to the point (-5,6):
(x,y)-->(y,-x)
a)
(-5,-6)
b)
(5,-6)
c)
(6,5)
d)
(-6,5)
68.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise 
b)
180 degrees
c)
90 degrees clockwise
69.
If you were to rotate ABCD 180°  about the origin, what would the coordinate of A' be?
a)
(-5, 5)
b)
(-3, -5)
c)
(-5, 3)
d)
(-3, 3)
70.
What transformation is happening?
(x, y) ----> (x + 2, y - 3) 
a)
slide up 2, left 3
b)
slide right 2, up 3
c)
slide right 2, down 3
d)
slide left 3, right 2
71.
Reflect the point (2, -4) over the y-axis.
a)
(-4, 2)
b)
(-2, 4)
c)
(-2, -4)
d)
(2, 4)
72.

Tell whether the triangles are similar or not.

a)

a

b)

b

73.

Find the missing side using proportions.

a)

a

b)

b

c)

c

d)

d

74.

Find the missing side using proportions.

a)

a

b)

b

c)

c

d)

d

75.

Find the value of x using proportions.

a)

a

b)

b

c)

c

d)

d

76.

Which of the following is the correct equation for a circle given the radius r and the center point (h,k).

a)

(x+h)2+(y+k)2=r2\left(x+h\right)^2+\left(y+k\right)^2=r^2  

b)

(x−h)2+(y−k)2=r2\left(x-h\right)^2+\left(y-k\right)^2=r^2  

c)

(x−k)2+(y−h)2=r2\left(x-k\right)^2+\left(y-h\right)^2=r^2  

d)

(x−h)+(y−k)=r\left(x-h\right)+\left(y-k\right)=r  

77.

Which equation represents a circle that has a radius of 6 and is centered at (-3, 5)?

a)

(x+3)2+(y−5)2=6\left(x+3\right)^2+\left(y-5\right)^2=6  

b)

(x+3)2+(y−5)2=36\left(x+3\right)^2+\left(y-5\right)^2=36  

c)

(x+3)2+(y+5)2=36\left(x+3\right)^2+\left(y+5\right)^2=36  

d)

(x−3)2+(y−5)2=6\left(x-3\right)^2+\left(y-5\right)^2=6  

78.

What is the equation of the circle?

a)

(x−2)2+(y+1)2=9\left(x-2\right)^2+\left(y+1\right)^2=9  

b)

(x−2)2+(y+1)2=3\left(x-2\right)^2+\left(y+1\right)^2=3  

c)

x2+y2=9x^2+y^2=9  

d)

(x−2)2+(y−1)2=9\left(x-2\right)^2+\left(y-1\right)^2=9  

79.

Here is the equation of a circle. Which of the following identify the center of the circle and the radius of the circle correctly?

(x−6)2+(y−9)2=4\left(x-6\right)^2+\left(y-9\right)^2=4  

a)

center: (6, 9)

radius: 4

b)

center: (-6, -9)

radius: 2

c)

center: (6, 9)

radius: 2

d)

center: (9, 6)

radius: 4

80.
Find the length of the bold arc.Leave pi in your answer.
a)
5688π ft
b)
15.8π ft
c)
150.4π ft
d)
54,150 ft
81.

Find the VOLUME of the prism.

(a)  

82.

Find the SURFACE AREA of the cylinder.

(a)  

83.

Find the VOLUME of the cylinder.

(a)  

84.

Find the SURFACE AREA of the prism.

(a)  

85.

Find the VOLUME of the prism.

(a)