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Core 8 End of Year Review

Total questions: 59

Worksheet time: 3hrs 57mins

Name
Class
Date
1.
A cylindrical container is used to hold dog food. Its volume is approximately 50.27 ft3 and has a radius of 2 ft. What is the height of the container to the nearest foot?
a)
2 feet
b)
4 feet
c)
8 feet
d)
4.5 feet
2.
A funnel in the shape of a cone is used to hold water in the town of Hicksville, KY. The height of the cone tower is 12m with a diameter of 6m, what is the volume?
a)
108π m³
b)
144π m³
c)
36π m³
d)
432π m³
3.
Find the volume of a sphere whose diameter is 4cm to the nearest whole number.
a)
34 cm³
b)
268 cm³
c)
50 cm³
d)
201 cm³
4.

If a right triangle has side lengths 6, 6.7 and 3, which side is the hypotenuse?

a)

6

b)

6.7

c)

3

d)

15.7

5.
What is the final step in solving this work for c?
a2 + b2 = c2
32 + 42 = c2
9 + 16 = c2
25 = c2
a)
Divide both sides by 2
b)
Take the square root of both sides
6.

The slide at the playground has a height of 6 feet. The base of the slide measured on the ground is 8 feet. What is the length of the slide?

a)

8 feet

b)

5.29 feet

c)

10 feet

d)

14 feet

7.

Level 3

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

8.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

9.
Durham and Chapel Hill are 14 miles apart.  Chapel Hill and Raleigh are 28 miles part. Raleigh and Durham are 25 miles part. Do these three cities form a right triangle?
a)
Yes they form a right triangle
b)
No they do not form a right triangle
10.

∠1 = 45°\angle1\ =\ 45\degree  what is the measure of angle 4 and how do you know?

a)

angle 4 = 45 because they are adjacant angles

b)

angle 4 = 45 because they are vertical angles

c)

angle 4 = 45 because they are alternate angles

d)

angle 4 = 50 because they are not congruent

11.

∠1 and ∠8\angle1\ and\ \angle8  are what type of angles?

a)

corresponding  angles

b)

adjacent  angles

c)

alternate interior  angles

d)

alternate exterior angles

12.

∠4 and ∠5 \angle4\ and\ \angle5\  are _______   __________  angles

a)

alternate exterior

b)

alternate interior

c)

same side

d)

not equal

13.

Which transformations create congruent figures?

a)

Dilation

b)

Translation, Reflection, Rotation

c)

Dilation and Reflection

14.

Which transformation creates SIMILAR figures?

a)

Dilation

b)

Rotation

c)

Reflection

15.

A triangle has vertices with coordinates (2,0), (3, -1) and (-2,-5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of the image?

a)

(5,3), (6,2), (1,-2)

b)

(6,0), (9,-3), (-6,-15)

c)

(2/3,0), (1,-1/3), (-2/3,-5/3)

d)

(-1,-3), (0,-4), (-5,-8)

16.

The pair of figures is similar. Find the missing side.

a)

x = 1

b)

x = 3

c)

x = 9

d)

x = 5

17.

Is the function linear or nonlinear?

a)

Linear Function

b)

Nonlinear Function

18.

What is the rate of change for the following graph?

a)

80

b)

20

c)

40

d)

160

19.

Which equation matches the graph?

a)

y = 2x + 3

b)

y = -3

c)

y = 2x - 3

d)

y = -3x + 2

20.
What transformation is pictured here?
a)
Translation
b)
Rotation
c)
Reflection
d)
Dilation
21.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise 
b)
180 degrees
c)
90 degrees clockwise
22.

Is the picture being reflected across the y-axis or x-axis?

a)
y-axis
b)
x-axis
23.

What is coordinate R?

a)

(2,5)

b)

(0,1)

c)

(2,3)

d)

(1,0)

24.
Which expression is equivalent to the expression in the picture?
a)
6 / 9
b)
2
c)
8 / 27
d)
4 / 9
25.
Which expression is equivalent to the expression in the picture?
a)

46

b)
45
c)
20
26.
(2ab)3
a)
23a3b3
b)
2ab3
c)
6a3b3
d)
6ab
27.

What is the solution to the equation below?

4(3x + 5) = 5(x + 4) + 7x

a)

x = 0

b)

infinitely many solutions

c)

x = 3/8

d)

no solution

28.
Solve
y - 4 > 12
a)
 y > 16
b)
y < 16
c)
y > 8
d)
y < 8
29.
What inequality does the number line graph represent?
a)
x ≤ 4
b)
x ≥ -4
c)
x < -4
d)
x < 4
30.
The √20 is between which two integers?
a)
2 & 3
b)
3 & 4
c)
4 & 5
d)
5 & 6
31.
Which of the following is a perfect square?
a)
24
b)
48
c)
81
d)
110
32.
Which number is a rational number ?
a)
1/4
b)
π
c)
√3
d)
4.632789...
33.
Which of the following numbers is irrational?
a)
√8
b)
¾
c)
2
d)
-1.325
34.
What is the simplified version of
a)
3.9 x 106
b)
4 x 1020
c)
4 x 106
d)
3.9 x 1020
35.
Which inequality is represented by the number line?
a)
x > 25
b)
x ≥ 25
c)
x < 25
d)
x ≤ 25
36.
Students at Eastern Florida State College pay 2 ×104 dollars for tuition. Students at George Washington University pay 4 ×105 dollars. How many times greater is the tuition at George Washington?
a)
2  x 100 times greater
b)
8 x 1020 times greater
c)
2 x 1020 times greater
d)
2 x 101 times greater
37.

Use  <, >, or =<,\ >,\ or\ =  to compare.  
14\frac{1}{4}  _____  0.060.06  

a)

<<

b)

>>

c)

==

38.

What type of number is π ?

a)

Rational

b)

Irrational

39.

81\sqrt{81}  

a)

Rational

b)

Irrational

40.
Which of the following lines represents the line of best fit for the scatter plot?
a)
A
b)
B
c)
C
d)
D
41.
Which of the following lines represents the line of best fit for the scatter plot?
a)
A
b)
B
c)
C
d)
There is no line of best fit for this graph because there is no trend.
42.
What type of association does this graph have?
a)
positive
b)
negative
c)
none
d)
all of the above
43.
A teacher made the following graph showing absences vs. final grades.  Predict the grade of a student that has 7 absences.
a)
45
b)
50
c)
60
d)
70
44.

What is the rate of change of the following equation: y=4x + 3

a)

3

b)

4

c)

x

45.

The equation t=2/3p + 12 is a function describing the wait time, t , in minutes, for a person to get onto a certain ride at a theme park on a Saturday afternoon. The number of people ahead in line is represented by p. If 27 people are ahead of Brandon in line, how long, in minutes, will he expect to wait?

a)

8

b)

12

c)

27

d)

30

46.
a)
Function
b)
Not a Function
47.
a)
Function
b)
Not a Function
48.
a)
Function
b)
Not a Function
49.
Atticus Shaffer is hiking on a mountain.  The graph shows his decent from the peak of the mountain. Which best describes his actions along B?
a)
Climbing down the mountain
b)
Climbing up the mountain
c)
Stopped for bird watching
d)
Base Jumping
50.
a)

A

b)

B

c)

C

d)

D

51.
Find the slope of the line.
a)
4/3
b)
-4/3
c)
3/4
d)
-3/4
52.

Choose two points and calculate the rate of change.

a)
1
b)
2
c)
11
53.
What is used to determine if a relation is a function?
a)
3D Line Test
b)
Diagonal Line Test
c)
Horizontal Line Test
d)
Vertical Line Test
54.

A local parking garage charges $5.00 for the first hour plus $1.50 for each additional hour or part of an hour. Write a relation where x represents the hours, and y represents the cost.

a)

y = 1.50x + 5

b)

y = 5x + 1.50

55.

Mike is buying a large pizza. The pizza costs $8.00 plus $0.50 for each additional topping. Which function correctly models this situtation?

a)

y=8x+.50

b)

y=.50x+8

c)

y=8x-.50

d)

y=8.50x

56.
Write the equation for the line.
a)
y= -1x+3
b)
y= 4x+3
c)
y=1/4x+3
d)
y= -4x+3
57.
Find the slope of the line.
a)
-5/4
b)
5/4
c)
-4/5
d)
4/5
58.

Find the slope of the line that passes through the points (2, 4) and (6, 12).

a)

1/2

b)

-1/2

c)

2

d)

-2

59.

What is the slope of the line passing through the following points (-2, 5) & (1, -7)?

a)

-4

b)

-2

c)

2

d)

4

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