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Worksheets

Shape and Space Grade 8 Comprehensive Review

Total questions: 175

Worksheet time: 12hrs 29mins

Name
Class
Date
1.

Which axis is the vertical (up-down) one?

a)

x-axis

b)

y-axis

2.

Which quadrant contains the point named by (2, 5)?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

3.

The original figure prior to a transformation.

a)

Pre-image

b)

Image

4.

A turn is also called a ___________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Transformation

5.

When a figure is translated down what happens?

a)

You subtract from the y-value

b)

You add to the y-value

c)

You subtract from the x-value

d)

You add to the x-value

6.

Name the transformation.

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

7.

What transformation occurred from pre-image to the image?

a)

transformation

b)

rotation

c)

translation

d)

reflection

8.

What transformation occurred from pre-image to the image?

a)

transformation

b)

rotation

c)

translation

d)

reflection

9.

 Describe the Transformation

a)

Reflection over y=x

b)

Rotation 90 degrees clockwise

c)

Rotation 90 degrees counterclockwise

d)

Translation

10.

Write the rule for this translation:

Slide 3 up and 2 right

a)

[ 3, 2 ]

b)

[ 2, 3 ]

c)

[- 2, 3]

d)

[ -3, 2 ]

11.

How is trapezoid ABCD translated to trapezoid A'B'C'D'?

a)

[ 5, - 5 ]

b)

[ 1, - 5 ]

c)

[ 5, -8 ]

d)

[ -5, 8 ]

12.

Identify the transformation from ABC to A'B'C'.

a)

90o clockwise rotation

b)

90o counterclockwise rotation

c)

Reflection across the y-axis

d)

Reflection across the x-axis

13.

Find K' if the figure is reflected across the x-axis

a)

(4, 1))

b)

(-1, -4)

c)

(1, -4)

d)

(1, 4)

14.

Find D' after a reflection across the y-axis.

a)

D'(-4,4)

b)

D'(-4,-4)

c)

D'(4,-4)

d)

D'(4,4)

15.

Triangle ABC has vertices A(0,6), B(7,6), and C(2,1).


Find C' after a reflection over the x-axis.

a)

(2,1)

b)

(-2,1)

c)

(-2,-1)

d)

(2,-1)

16.

What is the equation of the line of reflection?

a)

x=2

b)

y=-2

c)

x=undefined

d)

x=-2

17.

How many degrees was the figure rotated?

a)

90 degrees counterclockwise 

b)

180 degrees

c)

90 degrees clockwise

18.

If I rotate a trapezoid
90⁰ clockwise,
and its in quadrant III (3),
which quadrant would it move to?

a)

Quadrant 1 (I)

b)

Quadrant 2 (II)

c)

Quadrant 3 (III)

d)

Quadrant 4 (IV)

19.

Triangle ABC has vertices A(0,6), B(7,6), and C(2,1).


Find C' after a rotation of 90 degrees CCW at the origin.

a)

(1,2)

b)

(-1,2)

c)

(-2,-1)

d)

(2,-1)

20.

The triangle ABC (the one on the right) is transformed twice to get to triangle A`B`C`(the one on the left).


What were the two transformations?

a)

translation and hen reflection

b)

translation and then rotation

c)

reflection and then rotation

d)

reflection and then translation

e)

two reflections

21.

Which axis is the vertical (up-down) one?

a)

x-axis

b)

y-axis

22.

A turn is also called a ___________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Transformation

23.

When a figure is translated down what happens?

a)

You subtract from the y-value

b)

You add to the y-value

c)

You subtract from the x-value

d)

You add to the x-value

24.

Name the transformation.

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

25.

What transformation occurred from pre-image to the image?

a)

transformation

b)

rotation

c)

translation

d)

reflection

26.

What transformation occurred from pre-image to the image?

a)

transformation

b)

rotation

c)

translation

d)

reflection

27.

 Describe the Transformation

a)

Reflection over y=x

b)

Rotation 90 degrees clockwise

c)

Rotation 90 degrees counterclockwise

d)

Translation

28.

Write the rule for this translation:

Slide 3 up and 2 right

a)

[ 3, 2 ]

b)

[ 2, 3 ]

c)

[- 2, 3]

d)

[ -3, 2 ]

29.

Identify the transformation from ABC to A'B'C'.

a)

90o clockwise rotation

b)

90o counterclockwise rotation

c)

Reflection across the y-axis

d)

Reflection across the x-axis

30.

Find K' if the figure is reflected across the x-axis

a)

(4, 1))

b)

(-1, -4)

c)

(1, -4)

d)

(1, 4)

31.

Triangle ABC has vertices A(0,6), B(7,6), and C(2,1).


Find C' after a reflection over the x-axis.

a)

(2,1)

b)

(-2,1)

c)

(-2,-1)

d)

(2,-1)

32.

How many degrees was the figure rotated?

a)

90 degrees counterclockwise 

b)

180 degrees

c)

90 degrees clockwise

33.

Triangle ABC has vertices A(0,6), B(7,6), and C(2,1).


Find C' after a rotation of 90 degrees CCW at the origin.

a)

(1,2)

b)

(-1,2)

c)

(-2,-1)

d)

(2,-1)

34.

The triangle ABC (the one on the right) is transformed twice to get to triangle A`B`C`(the one on the left).


What were the two transformations?

a)

translation and hen reflection

b)

translation and then rotation

c)

reflection and then rotation

d)

reflection and then translation

e)

two reflections

35.

Triangle ABC is going to be translated. Where would  A' position be at, if the translation was be (x,y) --> (x+3, y-2)?

a)

(-1,3)

b)

(5,3)

c)

(5,8)

d)

(3,5)

36.

How is trapezoid ABCD translated to trapezoid A'B'C'D'?

a)

Translated 5 units down and 5 units to the right

b)

Translated 5 units down and 1 to the right

c)

Translated 8 units down and 5 units to the right

d)

Translated 5 units down and 4 units to the right

37.

State the line of reflection.

a)

Reflection across y-axis

b)

Reflection across x-axis

c)

Reflection across x = 1

d)

Reflection across y = 1

38.

what is the scale factor of the prime image

a)

1/3

b)

1/4

c)

1/2

d)

2

39.

Which transformation was applied to figure A to form figure B?

a)

Figure A was reflected across line m to form figure B.

b)

Figure A was translated 8 units right and 6 units up to form figure B.

c)

Figure A was rotated 90° clockwise about point N to form figure B.

d)

Figure A was translated 6 units right and 8 units up to form figure B.

40.

Flipping a figure is a ...

a)

Rotation

b)

Reflection

c)

Dilation

d)

Translation

41.

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

a)

y-axis

b)

x-axis

42.

What is a reflection?

a)

When you turn an object around a point.

b)

When you slide an object form one place to another.

c)

When you flip or mirror an object across a line.

d)

When you resize an object.

43.

Translate the blue shape to the pink shape...

a)

5 Right

2 Down

b)

5 Left

2 Up

c)

3 Right

1 Down

d)

3 Left

1 Up

44.

Translate the blue shape to the green shape...

a)

3 Left

3 Down

b)

3 Right

3 Up

c)

2 Right

3 Up

d)

2 Left

3 Down

45.

Translate the green shape to the blue shape...

a)

5 Right

2 Up

b)

5 Left

2 Down

c)

5 Right

5 Up

d)

5 Left

5 Down

46.

Translate shape B to shape A...

a)

3 Right

5 Up

b)

3 Left

5 Down

c)

2 Left

4 Up

d)

2 Right

4 Down

47.

Determine where X' would be if you translated 3 units to the left and 9 units down.

a)

(-4, 4)

b)

(-10, 2)

c)

(-4, -5)

d)

(-1, 5)

48.

How is triangle ABC being translated to triangle A'B'C'?

a)

up 3, left 8

b)

up 9, left 4

c)

down 3, right 8

d)

down 9, right 4

49.

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

50.

State the line of reflection.

a)

Reflection across y-axis

b)

Reflection across x-axis

c)

Reflection across x = 1

d)

Reflection across y = 1

51.
Which answer shows a reflection across the x-axis?
a)
d
b)
c
c)
b
d)
a
52.
If the dotted figure is the image, the original figure was reflected over the ...
a)
x-axis
b)
y-axis
53.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise 
b)
180 degrees
c)
90 degrees clockwise
54.
What type of rotation does this represent (from red to blue)?
a)
270⁰ clockwise
b)
360⁰
c)
90⁰ counterclockwise
d)
180⁰
55.
Triangle B is rotated 90° clockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?
a)
A
b)
B
c)
C
d)
D
56.

what is the scale factor of the prime image

a)

1/3

b)

1/4

c)

1/2

d)

2

57.
A slide is also called a _________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
58.
A turn is also called a ___________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
59.

What shapes do you need to make a triangular prism?

a)

4 triangles

b)

1 triangle and 3 rectangles

c)

2 triangles and 3 rectangles

d)

3 triangles and one rectangle

60.

Which net will create a square pyramid?

a)

Net A

b)

Net B

c)

Net C

d)

Net D

61.

The area of one face of a cube is 9cm2. What is the surface area of the cube?

a)

36cm236cm^2

b)

18cm218cm^2

c)

27cm227cm^2

d)

54cm254cm^2

62.

This is the net of a rectangular prism. The area of each face, in cm2 is given. What is the surface area of the prism?

a)

94cm294cm^2

b)

98cm298cm^2

c)

122cm2122cm^2

d)

188cm2188cm^2

63.

Calculate the surface area of this triangular prism.

a)

100cm2100cm^2

b)

111cm2111cm^2

c)

144cm2144cm^2

d)

156cm2156cm^2

64.

Find the surface area of this cylinder to the nearest square metre.

a)

452m2452m^2  

b)

653m2653m^2  

c)

704m2704m^2  

d)

905m2905m^2  

65.

The height of a cylindrical oil storage tank is 6 m and it has diameter 22 m. If the tank is full, how much oil does it contain? Round your answer to the nearest kL. (1 kL = 1 m3)

a)

207 kL

b)

415 kL

c)

908 kL

d)

2281 kL

66.

Find the volume of this cylinder. Round your answer to the nearest cubic m.

a)

754m3754m^3

b)

931m3931m^3

c)

2827m32827m^3

d)

1414m31414m^3

67.

Find the volume of this triangular prism.

a)

88m388m^3

b)

105m3105m^3

c)

175m3175m^3

d)

350m3350m^3

68.

A flower bed measures 1.5 m by 2.4 m and is filled with soil to a depth of 0.6 m. What is the volume of soil in the flower bed?

a)

4.5m34.5m^3

b)

2.16m32.16m^3

c)

2.34m32.34m^3

d)

18m318m^3

69.

If you wanted to know how much treasure is in the chest you would be finding the ________________

a)

volume

b)

surface area

70.

If you wanted to know how much metal is need to make a can you would be finding the ______

a)

Surface Area

b)

Volume

71.
A rectangular brick has a length of 5 centimeters, a width of  9 centimeters and a height of 20 centimeters. What is the surface area of that brick? 
a)
650 cm2
b)
600 cm2
c)
525 cm2
d)
450 cm2
72.
What is the volume of this rectangular prism?
a)
26 cubic units
b)
24 cubic units
c)
24 square units
d)
26 square units
73.
Given a cylinder with the height of 10cm and the base radius of 9cm. Find the volume of this cylinder to the nearest tenth.  
a)
810 cm3
b)
2543.4 cm3
c)
847.8 cm3
d)
2826 cm3
74.
Find the volume of the cylinder.
a)
4239
b)
1696
c)
1130
d)
565
75.
Given a cylinder with the height of 10cm and the base radius of 9cm. Find the volume of this cylinder to the nearest tenth.  
a)
810 cm3
b)
2543.4 cm3
c)
847.8 cm3
d)
2826 cm3
76.
What is this formula used to find?
V=πr2h
a)
The volume of a cylinder
b)
The volume of a cone
c)
The volume of a sphere
d)
The area of a circle
77.
What does the "B" in the volume formula V = B x h stand for?
a)
Bottom of the object
b)
Box
c)
Between
d)
Area of the base
78.
Find the Volume of the Cone
a)
150.72 cm³
b)
75.36 cm³
c)
452.16 cm³
d)
151 cm³
79.
Find the volume of the Sphere
a)
78.5 m3
b)
392.5 m3
c)
523.6 m3
d)
62.8 cm3
80.
Find the Volume of the Sphere
a)
904.32 ft3
b)
7,234.56 ft3
c)
150.72 ft3
81.
10. A fish-tank has a length of 45 centimeters, a width of 25 centimeter and a depth of 10 centimeter. Find the volume of the fish-tank.
a)
10250 cm3
b)
11250 cm3
c)
11250 ft3
d)
10250 ft3
82.
What shape is the base? What is the area of the base (B)?
a)
Rectangle; 60in2
b)
Triangle; 12 in2
c)
Rectangle; 32 in2
d)
Triangle; 6 in2
83.
Find the volume of the figure. Round to the nearest tenth.
a)
80 cm³
b)
40 cm²
c)
80 cm2
d)
40 cm³
84.
Find the volume:
a)
960 cm 3
b)
240 cm 3
c)
960 cm 2
d)
1920 cm 3
85.
Calculate the volume:
a)
1120 ft 3 
b)
600 ft 3
c)
560 ft 3
d)
64 ft 3
86.
Find the volume of this triangular prism.
a)
1440 cm3
b)
60 cm3
c)
720 cm3
d)
180 cm3
87.
What is surface area?
a)
Inside of the object
b)
the sum of all theareas of all the shapes that cover the surface of the object.
c)
Something Mr. Strickland made up?
d)
Surface area is what you get when you boil unicorn tears. 
88.
What is the SURFACE AREA of this figure? * hint the height of this CUBE is 3
a)
64 cm2
b)
54 cm2
c)
36 cm
89.
What is the surface area of this figure?
a)
200 cm 2
b)
800 cm 2
c)
400 cm 2
d)
100 cm 2
90.
Find the lateral surface area of the rectangular prism with the following dimensions: 
length = 10 m
height = 4 m
width = 3 m
a)
164 m squared
b)
86 m squared 
c)
120 m squared
d)
104 m squared
91.
Find the total surface area of the rectangular prism with the following dimensions: 
length = 10 m
height = 4 m
width = 3 m
a)
164 m squared
b)
86 m squared 
c)
120 m squared
d)
180 m squared
92.
Find the Total Surface area of the cylinder. 
a)
62.8m
b)
477.28 cm2
c)
 235.5 cm3
d)
942 cm2
93.
Find the total surface area of the prism.
a)
161 square feet
b)
1,700 square feet
c)
75 square feet
d)
186 square feet
94.
What does the "B" in the volume formula V = Bh stand for?
a)
Bottom of the object
b)
Box
c)
Between
d)
Area of the base
95.

Find the volume of the cylinder.

a)

282.7

b)

516.2

c)

133

d)

214

96.

Find the volume of the cylinder. Round to the nearest tenth.

a)

124.6 in3

b)

88 in3

c)

97.5 in3

d)

78.9 in3

97.

Find the volume of the cone. Round your answers to the nearest tenth.

a)

113.1 in3

b)

37.7 in3

c)

339.3 in3

98.

Find the volume of the cone. Round your answers to the nearest tenth.

a)

320.4 in3

b)

314.2 in3

c)

942.5 in3

d)

267.4 in3

99.

Find the volume of the given sphere.

a)

1,563.5 cubic in.

b)

1,325.5 cubic in.

c)

1,129.9 cubic in.

d)

1,819.6 cubic in.

100.

Find the volume. Round to the nearest tenth.

a)

5575.3 cm3

b)

506.8 cm3

c)

126.65 cm3

d)

1393.11 cm3

101.

How do you feel about today's lesson?

a)

I totally get it. I am an expert.

b)

I still need a little practice.

c)

I do not know what's going on. I need help.

102.

What is the surface area of this figure?

a)

200 cm 2

b)

800 cm 2

c)

400 cm 2

d)

1500 cm 2

103.

Find the Surface Area.

a)

15.6 m2

b)

96 m2

c)

108 m2

d)

890 m2

104.

The Toblerone candy come in a package like the triangular prism. The bases of the triangles are 2 inches with a height of 2.5 inches. The faces are 10 inches in length. What is the volume of the package?

a)

25 cubic in.

b)

8 1/3 cubic in.

c)

50 cubic in.

d)

12.5 cubic in.

105.

10. A fish-tank has a length of 45 centimeters, a width of 25 centimeter and a depth of 10 centimeter. Find the volume of the fish-tank.

a)

10250 cm3

b)

11250 cm3

c)

8000 cm3

d)

10250 ft3

106.
Mario was packing juice boxes into his lunchbox.  His lunchbox can hold 144 in3.  If the juice boxes measure 3 in x 2 in x 3 in, how many boxes can he fit in his lunchbox?
a)
12
b)
8
c)
18
d)
288
107.

A cylindrical well has a radius of 10 feet and a height of 15 feet. What volume of water will it take to fill in the well?

a)

7065 ft3

b)

471 ft3

c)

4712.4 ft3

d)

1178.1ft3

108.
Find the surface area
a)
502.655 in^2
b)
439.823 in^2
c)
280.816 in^2
d)
863.562 in ^2
109.

Find the volume of the triangular prism.

a)

960 cm 3

b)

240 cm 3

c)

1920 cm 3

110.

What is the Volume of this Triangular Prism?

(a)  

111.

What is the total volume of the figure?

a)

150

b)

120

c)

1800

d)

30

112.
Find the volume of the cylinder.
a)
109
b)
418
c)
130
d)
1672
113.
Find the volume of the Sphere
a)
78.5 m3
b)
392.5 m3
c)
523.6 m3
d)
62.8 cm3
114.
Find the surface area
a)
60.4 m2
b)
188.49 m2
c)
94.24 m2
d)
881.94 m2
115.
The Pythagorean Theorem is...
a)
a + b = c
b)
a2 + b2 = c
c)
a + b = c2
d)
a2 + b2 = c2
116.
The longest side is called...
a)
The longest side
b)
The c side
c)
West side
d)
The hypotenuse
117.
To find the short side you would...
a)
square a and b, add them, find the square root
b)
square b and c, add them, find the square root
c)
square b and c, subtract them, find the square root
d)
Take out a ruler, measure accurately, write the answer
118.
If a = 16, b = 25, c = ?
a)
29.7
b)
41
c)
19.2
d)
881
119.
If b = 17, c = 35, a = ?
a)
30.6
b)
52
c)
18
d)
38.9
120.
Refer to resource sheet. The ship is 80 metres away from a 25 metre high lighthouse. What is the distance from the top of the lighthouse to the boat?
a)
84 metres
b)
105 metres
c)
7025 metres
d)
76 metres
121.
Refer to resource sheet. A piazza in the shape of a right-angled triangle has a square garden on one side and a square terrace on another side. What is the area of the swimming pool?
a)
25 m2
b)
144 m2
c)
7 m2
d)
Need more information.
122.
Refer to resource sheet. A 6 metre ladder rests 3 metres away from a building. How high up the building does it reach?
a)
5.2 metres
b)
27 metres
c)
3 metres
d)
6.7 metres
123.
Refer to resource sheet. A baseball diamond is shaped as a square with sides of 90 feet. To throw from 3rd base to first base is how far?
a)
63 feet
b)
90 feet
c)
180 feet
d)
127 feet
124.
Refer to resource sheet. An anchor is at the end of a 30 metre cable. It lies 27 metres west of the boat. How deep is it?
a)
13 metres
b)
3 metres
c)
40 metres
d)
171 metres
125.
What is the value of x?
a)
√900 metres
b)
√196 metres
c)
√1096 metres
d)
√704 metres
126.
What is the value of x?
a)
√45 m
b)
√36 m
c)
√9 m
d)
5 m
127.
Which letter is the hypotenuse?
a)
a
b)
b
c)
c
d)
d
128.
Find the length of the missing side. 
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
129.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
130.
Find the length of the missing side.
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
131.
What is the value of x?
a)
78
b)
75
c)
35
d)
100
132.
What is the value of c?
a)
√128
b)
√144
c)
√150
d)
√160
133.

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

134.

Your family wants to purchase a new laptop with a 17" widescreen. Since the 17 inches represents the diagonal measurement of the screen (upper corner to lower corner), you want to find out the actual dimensions of the laptop. When you measured the laptop at the store, the height was 10 inches, but you don't remember the width. Calculate the width of the laptop to the nearest tenth of an inch.

a)

7 inches

b)

10 inches

c)

19.7 inches

d)

13.7 inches

135.

Jacona buys a tarp that measures 8 feet wide by 10 feet long. He paints an “x” on the tarp by painting diagonal lines from opposite corners of the tarp. How long is each diagonal line?

a)

A

b)

B

c)

C

d)

D

136.
Find the distance between J and K.
a)
8.2
b)
7.7
c)
9
d)
10.2
137.
The pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
138.

The longest side of a right triangle is called

a)

root

b)

right angle

c)

leg

d)

hypotenuse

139.
Find the distance.
a)
7.1
b)
7.8
c)
(6, 4.5)
d)
(2.5, 8)
140.
Heidi helped build a slide at a local park. The ladder is 6 feet high, and the slide is 7 feet long. Approximately how far is the bottom of the ladder from the bottom of the slide? 
a)
3.6 feet
b)
9.2 feet
c)
13 feet
d)
6.5 feet
141.
Calculate the distance between the two points
a)
9.7
b)
10.7
c)
11.7
d)
12.7
142.
Find the distance between (0,0) and (3,4)
a)
7
b)
49
c)
5
d)
25
143.

When do we use the Pythagorean Theorem?

a)

To find a missing angle in a right triangle

b)

To find the missing length of a right triangle

c)

To find the area of a right triangle

d)

To find the slope of a right triangle

144.
Do the segment lengths 15, 12, and 9 form a right triangle?
a)
Yes
b)
No
c)
Maybe
d)
Pythagoras
145.
Find the missing side
a)
29.2
b)
20
c)
400
d)
10
146.
Find the distance between P and R. Round it ot the nearest whole. 
a)
52
b)
7
c)
7.21
d)
8
147.
Find the length of the side CD.
a)
9 units
b)
√34
c)
√5
d)
3 units
148.

What is the length of the missing side?

a)

149\sqrt{149}

b)

51\sqrt{51}

c)

149

d)

51

149.

Level 1

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

150.

Level 1

The Pythagorean Theorem is

a2 + b2 + c2

a)

false

b)

true

151.

Level 1

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

e)

None of them

152.

Level 2

Solve for the value of y

a)

13

b)

5

c)

23

d)

10

153.
Find the missing side
a)
9
b)
41
c)
6.4
d)
3
154.
Find the missing side
a)
48
b)
108
c)
83.6
d)
72
155.
solve for c
a)
7
b)
9
c)
4
d)
13
156.
The Pythagorean Theorem is
a2 + b3 = c4
a)
false
b)
true
157.

We are given one of the sides and the hypotenuse.

Find the length of the missing side length.

(Hint: distance from the wall to the bottom of the ladder)

a)

7

b)

5

c)

11

d)

25

158.

Its faster to take the hypotenuse route to school than to walk the other blocks.

True or False.

a)

True

b)

False

159.

What is the hypotenuse of the diagram?

a)

11 blocks

b)

9 blocks

c)

5 blocks

d)

10 blocks

160.
92 = ?
a)
81
b)
90
c)
99
d)
72
161.
?
a)
2
b)
3
c)
9
d)
81
162.
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
163.
Determine if the following set of numbers are Pythagorean Triples.
15, 20, 25
a)
Yes
b)
No
164.
Find the missing side
a)
36
b)
76.8
c)
12
d)
40
165.
Determine if the following set of numbers are Pythagorean Triples.
18, 73, 75
a)
Yes
b)
No
166.

Find the value of x.

a)

75

b)

68.9

c)

76

d)

70

167.
a2 + b2 = c2
b = 35 c = 37
a)
a = 12
b)
a = 11
c)
a = 18
d)
a = 14
168.

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

Which diagram best represents the problem?

a)
b)
c)
d)
169.
You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?
a)
25 feet
b)
26 feet
c)
27 feet
d)
28 feet
170.

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

Which equation could be used to solve the problem?

a)

252+102=c225^2+10^2=c^2

b)

252+b2=10225^2+b^2=10^2

c)

a2+102=252a^2+10^2=25^2

d)

102+b2=25210^2+b^2=25^2

171.
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
172.
Larry attached a string from the top of the flagpole to the ground.  The flagpole is 26 feet high and the string is 18 feet away from the flagpole.  How long is the string? 
a)
352 feet 
b)
31.6 feet 
c)
44 feet 
d)
6.6 feet 
173.
A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?
a)
111.8 yards
b)
115 yards
c)
127.3 yards
d)
119 yards
174.
Madison is on the top of an 80 foot building. She is creating a zipline course to the ground with 100 feet of cable. How far from the base of the building will she need to anchor the cable to make the zipline cable tight?
a)
60 feet
b)
20 feet
c)
180 feet
175.
Two joggers run 8 miles north and then 5 miles west.  What is the shortest distance back to their starting point to the nearest tenth of a mile?
a)
13
b)
9.4
c)
6.2
d)
9

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