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12/11 8th Math finale Part 2

Total questions: 118

Worksheet time: 10hrs 54mins

Name
Class
Date
1.
What is the formula used to solve for the hypotenuse?
a)
a2+b2=c2
b)
a+b=c
c)
a-b=c
d)
c-a=c
2.
Find the missing side
a)
9
b)
41
c)
6.4
d)
3
3.
Find the missing side
a)
29.2
b)
20
c)
400
d)
10
4.
Find the missing side
a)
36
b)
76.8
c)
12
d)
40
5.
Find the missing side
a)
9
b)
26.9
c)
37
d)
18.2
6.
Find the missing side
a)
37
b)
17.66
c)
6
d)
312
7.
Find the missing side
a)
48
b)
108
c)
83.6
d)
72
8.
Jane and Miguel are siblings. They go to different schools. Jane walks 6 blocks east from home. Miguel walks 8 blocks north. How many blocks apart would the two schools be if you could walk straight from one school to the other?
a)
14
b)
10
c)
5.3
d)
2
9.

Sides a and b are called legs.

a)

true

b)

false

10.
Find the length of the missing side. 
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
11.
Find the length of the missing side. 
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
12.
Find the length of the missing side. 
a)
48 in.
b)
52 in.
c)
16 in.
d)
24 in.
13.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
14.
Which set of sides would make a right triangle?
a)
4,5,6
b)
8,10,12
c)
5,12,13
d)
5,10,12
15.

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

16.

The bottom of a 13-foot straight ladder is set into the ground 5 feet away from a wall. When the top of the ladder is leaned against the wall, what is the distance above the ground it will reach?

a)

12 feet

b)

13.9 feet

17.

In the Old West, settlers made tents out of a piece of cloth thrown over a clothesline and then secured it to the ground with stakes forming an isosceles triangle. How long would the cloth have to be so that the opening of the tent was 6 feet high and 8 feet wide?

a)

14.4 feet

b)

7.2 feet

c)

10 feet

d)

20 feet

18.

A baseball "diamond" is actually a square with sides of 90 feet. If a runner tries to steal second base, how far must the catcher, at home plate, throw to get the runner "out"? (Distance across the diagonal)

a)

180 feet

b)

90 feet

c)

13.4 feet

d)

127.3 feet

19.

During a football play, Odell Beckham Jr. runs a straight route 40 yards up the sideline before turning around and catching a pass thrown by Eli Manning. On the opposing team, a defender who started 20 yards across the field from Beckham saw the play setup and ran a slant towards Beckham. What was the distance the defender had to run to get to the spot where Beckham caught the ball?

a)

34.6 yards

b)

44.7 yards

c)

60 yards

d)

40 yards

20.

A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the other corner diagonally across the field. How far do the players run?

a)

105 meters

b)

79.4 meters

c)

210 meters

d)

150 meters

21.

How far from the base of a house do you need to place a 15' ladder so that is exactly reaches the top of a 12' wall?

a)

9 feet

b)

19.2 feet

c)

81 feet

d)

369 feet

22.

The diagonal of a rectangle is 25 inches. The width is 15 inches. What is the area of the rectangle?

a)

375 in2

b)

70 in2

c)

300 in2

d)

20 in2

23.

Jill's front door is 42" wide and 84" tall. She purchased a circular table that is 96 inches in diameter. Will the table fit through the front door?

a)

Yes

b)

No

24.

Lisa drives her car 46 km south and then 13 km east. How far is she from her starting point?

a)

44.1 km

b)

59 km

c)

47.8 km

d)

33 km

25.

Town A is 90 miles from Town B, and 18 miles from Town C. Town A, B, and C are forming a right triangle at A. A road connects towns B and C directly. Find the length of this road.

a)

108 miles

b)

91.8 miles

c)

88.2 miles

d)

72 miles

26.

What is the distance between the two points?

a)

6.3

b)

6.5

c)

6.7

d)

16

27.
Find the distance.
a)
9.7
b)
10.7
c)
11.7
d)
12.7
28.
Find the distance between (1,2) (-1,-2)
a)
4.5
b)
4.4
c)
5
d)
20
29.
What's the distance between (-11,4) and (4,4)?
a)
-15
b)
15
c)
7
d)
-7
30.
What's the distance between (-3,4) and (-3, -10)?
a)
14
b)
-14
c)
6
d)
-6
31.
What's the distance between (0,0) and (3,4)
a)
7
b)
49
c)
5
d)
25
32.
What's the midpoint of the the line-segment starting at (2,4) and ending at (2, 8)
a)
(-2,-6)
b)
(2, 12)
c)
(4, 12)
d)
(2, 6)
33.
What's the midpoint of the the line-segment starting at (4, 5) and ending at (-12, 5)
a)
(-4, 5)
b)
(-8, 5)
c)
( 8, 2.5)
d)
(8, 5)
34.
Find the distance.
a)
9.7
b)
10.7
c)
11.7
d)
12.7
35.
(9, 2) and (9, 10)
a)
8
b)
12
c)
-8
d)
12
36.
(1,7) and (5,7)
a)
4
b)
6
c)
-4
d)
-6
37.
(3, 5) and (6, 5)
a)
9
b)
3
c)
-9
d)
-3
38.

What is the volume, in cubic inches, of the cylinder?

a)

120π

b)

240π

c)

960π

d)

1800π

39.

What is the volume, in cubic meters, of the sphere?

a)

602.88

b)

1808.64

c)

57876.48

d)

7234.56

40.

What is the volume, in cubic inches, of the cone?

a)

33.49

b)

133.97

c)

401.92

d)

267.95

41.

The volume of a cone is 1/3 the volume of a cylinder when the radii and heights are equal.

a)

True

b)

False

42.

What is the height of the cone?

a)

10

b)

31.6

c)

30

d)

360

43.

The diameter of a cylinder is 48 meters. What is the radius?

a)

96 meters

b)

12π

c)

24 meters

d)

482

44.

Find the height of the cylinder.

a)

50 ft.

b)

8 ft.

c)

16 ft.

45.

Find the volume of the sphere.

a)

339

b)

9156

c)

763

d)

3052

46.
The formula for the Volume of ...
a)
Spheres
b)
Cones
c)
Cylinders
47.
The formula for the Volume of ...
a)
Cylinders
b)
Spheres
c)
Cones
48.
The formula for the Volume of ...
a)
Cylinder
b)
Cone
c)
Sphere
49.
 Find the volume of the Cylinder
a)
7230
b)
6621
c)
1130
d)
907
50.
Find the Volume of the Cone
a)
150.72 cm³
b)
75.36 cm³
c)
452.16 cm³
d)
151 cm³
51.
Find the volume of the Sphere
a)
78.5 m3
b)
392.5 m3
c)
523.6 m3
d)
62.8 cm3
52.
Find the Volume if the height is 10 cm and radius 3 cm?
a)
250
b)
200
c)
283
d)
180
53.
Find the Volume of the Sphere
a)
904.32 ft3
b)
7,234.56 ft3
c)
150.72 ft3
54.
Find the Volume of the Cylinder
a)
1178 ft3
b)
4712 ft3
c)
7069 ft3
d)
3534 ft3
55.
You have a globe that has a radius of 11 inches. Find the volume of your globe. 
a)
523 in3
b)
16,717 in3
c)
5,575 in3
d)
7,235 in3
56.

Mike created a cone that has a diameter of 8 feet and a height of 3 feet. Find the volume of this cone.

a)

50.27 ft3

b)

150.72 ft3

c)

not here

d)

192.65 ft3

57.
Choir is selling Pringle Chips to raise money for a field trip. The container has a diameter of 9 inches and a height of 32 inches. 

Which equation can be used to find the volume of the container?
a)
V = π(9)
b)
V = π(4.5)2(32)
c)
V = π(9)2(32)
d)
V = π(4.5)(32)
58.
What shape is this?
a)
Pyramid
b)
Cylinder
c)
Circle
d)
Cube
59.
What shape is this?
a)
Cone
b)
Sphere
c)
Cube
d)
Pyramid
60.
Which set of values is a function?
a)
(9,5) (10,5) (9,-5) (10,-5)
b)
(3,4) (4,-3) (7,4) (3, 8)
c)
(6,-5) (7, -3) (8, -1) (9, 1)
d)
(2, -2) (5, 9) (5, -7) (1, 4)
61.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
62.
Is this table a function or not a function? 
a)
Function
b)
Not a Function
63.
Is this table a function or not a function? 
a)
Function
b)
Not a Function 
64.
Is this set of ordered pairs a function and how can you tell?
a)
Yes its a function because no y values repeat
b)
No it's not a function because there are negative numbers
c)
No it isn't a function because an x value repeats but has different y values 
d)
No it isn't a function because an y value repeats but has different x values
65.
a)
Function
b)
Not a Function
66.
a)
Function
b)
Not a Function
67.
Which best describes the graph represented in this table?
a)
 proportional
b)
non-proportional
68.
Is this table proportional or non-proportional?
a)
Proportional
b)
Non-Proportional
69.
What is the equation?
a)
y=x/4
b)
y=4x
c)
y= x + 4
d)
y = x - 4
70.
The "Distance from Home" (miles) is best described as:
a)
a) on the x-axis
b)
b) the dependent variable
c)
c) the independent variable
d)
d) both a & c
71.
What is the Constant of Proportionality?
a)
k=46
b)
k=92
c)
k=0.2
d)
not proportional
72.
Mason ran 3 miles in 20 minutes. What is his unit rate of miles per hour?
a)
400 miles per hour
b)
9 miles per hour
c)
20 miles per hour
d)
6.67 miles per hour
73.
What is the constant of proportionality?
a)
$3
b)
$4
c)
$2
d)
$9
74.
Is this table proportional?
a)
Yes
b)
No
75.
Which equation matches the given graph?
a)
y=0.45x
b)
y = 2/5x
c)
y = 4x
d)
k = ¼
76.
What is the constant of proportionality?
a)
3
b)
4
c)
2
d)
5
77.
A box of cereal cost $3.59 for 30 oz. How much is the unit rate per ounce? Round to the nearest cent.
a)
11 cents
b)
12 cents
c)
13 cents
d)
10 cents
78.
If Justin can type 408 words in 4 minutes, how many words can he type per minute?
a)
102 words per minute
b)
100 words per minute
c)
400 words per minute
d)
412 words per minute
79.
Alycia earned $20.40 in 3 hours. What is her unit rate in dollars per hour?
a)
$7 per hour
b)
$6 per hour
c)
$6.80 per hour
d)
$17.40 per hour
80.

Identify the constant of proportionality.

a)

k = 2x

b)

k = 2

c)

k = 4

d)

none (not proportional)

81.
Write an equation for this situation.
a)
k=19.25x
b)
y=19x
c)
y=19.25x
d)
y=9.5x
82.
What is the constant of proportionality? 
a)
5
b)
1/5
c)
10
d)
2
83.
What is the constant of proportionality? 
a)
20
b)
4
c)
1/5
d)
5
84.
What is the constant of proportionality? 
a)
6
b)
3
c)
2
d)
1/2
85.
What is the constant of proportionality? 
a)
15
b)
2/15
c)
7.5
d)
2
86.
What is the constant of proportionality?
a)
4
b)
12
c)
3
d)
1/3
87.
What is the constant of proportionality?
a)
7
b)
3.3
c)
3/10
d)
14
88.
a)
Roger’s store is cheaper by $0.05 per pound.
b)
Roger’s store is cheaper by $0.15 per pound.
c)
Lisa’s store is cheaper by $0.05 per pound.
d)
Lisa’s store is cheaper by $0.15 per pound.
89.
a)
$0.25
b)
$1.00
c)
$2.00
d)
$3.50
90.
a)
Sandra by $5
b)
Monica by $5
c)
Sandra by $75
d)
Monica by $75
91.
a)
Joe charges $10.00 more per hour than Mike.
b)
Mike charges $10.00 more per hour than Joe.
c)
Joe charges $5.00 more per hour than Mike.
d)
Mike charges $5.00 more per hour than Joe.

92.
a)
$0.60
b)
$2.13
c)
$3.53
d)
$5.66
93.
Find the slope of:
(1,8) and (3,12)
a)
2
b)
1/2
c)
9/7
d)
-2
94.
Find the slope of:
(-4,5) and (-4, 2)
a)
0
b)
6
c)
undefined
d)
-3/8
95.
Find the slope of:
(12,-2) and (4, -6)
a)
-1/2
b)
5/7
c)
-2
d)
1/2
96.
Find the slope of:
(7,1) and (-2,1)
a)
0
b)
-1/2
c)
undefined
d)
-8
97.
Find slope of:
(-2,3) and (4,-5)
a)
4/3
b)
-4/3
c)
3/4
d)
-3/4
98.
Find the slope:
y = 2x + 3
a)
0
b)
3
c)
1.5
d)
2
99.
Fine the slope of:
y = -6
a)
0
b)
-6
c)
undefined
d)
1
100.
Find the slope of:
y - 3x = 1
a)
-3
b)
1
c)
3
d)
0
101.
Find the slope:
a)
2
b)
-2
c)
1/2
d)
-1/2
102.
Find the slope:
a)
3/4
b)
4/3
c)
-3/4
d)
-4/3
103.
What type of slope?
a)
negative
b)
positive
c)
zero slope
d)
downward slope
104.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
105.
Identify the slope as positive, negative, zero or undefined.
a)
positive
b)
negative
c)
zero
d)
undefined
106.
What direction is an undefined slope?
a)
horizontal
b)
vertical
107.
What type of slope does the following graph have?
a)
Positive
b)
Negative
c)
Zero Slope
d)
Undefined
108.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
109.
Find the slope of the line.
a)
-5/4
b)
5/4
c)
-4/5
d)
4/5
110.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
111.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
112.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
113.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
114.
At what rate did the rain fall?
a)
2 cm per hour
b)
1/4 cm per hour
c)
1/2 cm per hour
d)
4 cm per hour
115.
Dev keeps a record in graph form of how far his car travels and the number of gallons of gasoline it uses.
What is the slope of the graph?
a)
64
b)
128
c)
32
d)
16
116.
What is the simple definition of slope? 
a)
line
b)
run/rise
c)
undefinied
d)
rise/run
117.
What is the y-intercept in the equation y= -2x + 5
a)
-2
b)
3
c)
5
d)
Cannot be Determined
118.
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

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