Free Printable Chapter 7 Review (8DA)

1.

Hunter buys 36 baseball cards for $18. How many baseball cards can Troy buy if he has $9?

a)

18 baseball cards

b)

4 baseball cards

c)

24 baseball cards

d)

16 baseball cards

2.

The flag pole is 6 feet tall with a shadow of 10 feet. Using proportions, how tall is the pine tree?

a)

10 ft

b)

12 ft

c)

20 ft

d)

18 ft

3.

Mrs. Sparks has been craving smoothies lately. She buys a 20oz chocolate smoothie for $7. Mrs. Jones also buys a 17oz chocolate smoothie. How much is Mrs. Jones smoothie?

a)

$5.95

b)

$6

c)

8.24

4.

Ms. Hensley's family owns a green bean farm. If Ms. Hensley can grow 225 bushels in 3 acres, how many bushels can she grow in 9.6 acres?

a)

720 bushels

b)

675 bushels

c)

75 bushels

5.

Finley and Cooper are wanting to go to Skyzone. Finley pays $53.75 for 5 hours. How much will Cooper pay for 3 hours?

a)

$32.25

b)

$89.53

c)

26.88

6.

Solve the following proportion:

a)

34

b)

8.5

c)

15

d)

10

7.

Solve the following proportion:

ROUND YOUR ANSWER

a)

30

b)

30.03

c)

14.7

8.

Solve the following proportion:

ROUND YOUR ANSWER

a)

3.33333333

b)

4.67

c)

5

d)

5.2

9.

Ms. Bolling really loves double chocolate chip cookies. She can buy 1 box for $21. What would her cost be for 28 boxes of cookies?

a)

$600

b)

$588

c)

$554

d)

$500

10.

A hiker want to determine the height of a cliff. She has measured her height (5.8ft) and shadow (7ft). She knows the cliff casts a shadow of 50ft. How tall is the cliff?

a)

41.4ft

b)

31.6ft

c)

35.6ft

11.

Solve for x: x/4 = 6/8

a)

4

b)

2

c)

3

d)

10

12.

Solve for x: 6/12 = x / 6

a)

36

b)

2

c)

12

d)

3

13.

Solve the Proportion:
11/10 = 22/X

a)

20

b)

220

c)

242

d)

2

14.

Solve the Proportion:
X/9 = 9/27

a)

9

b)

3

c)

81

d)

245

15.

Solve.
k/5 = 9/15

a)

k = 3

b)

k = 1

c)

k = 4

d)

k = 6

16.

a)

7.6

b)

0.17

c)

11.6

d)

9

17.

a)

19

b)

9

c)

2.5

d)

5.96

18.

a)

-10.2

b)

-3.43

c)

-7

d)

-7.6

19.

a)

8

b)

6.4

c)

-9.365

d)

7.14

20.

a)

-1.9

b)

-6.5

c)

-5.4

d)

3.6

21.

a)

-1.5

b)

-5.8

c)

2.6

d)

-2.63

22.

a)

1.3

b)

14

c)

4.8

d)

3.6

23.

a)

-4.9

b)

4.2

c)

7.3

d)

-3.5

24.

a)

-7.6

b)

3

c)

12

d)

3.745

25.

a)

-3.6

b)

7.9

c)

7

d)

9.5

26.

Select the solution(s) to the proportion:

$\frac{8}{x}=\frac{x}{18}$

a)

-2

b)

-8 and 8

c)

-12 and 12

d)

12

27.

Select the solution(s) to the proportion:

$\frac{x}{3}=\frac{2}{x-5}$

a)

-1

b)

-6 and -1

c)

-1 and 6

d)

1 and -6

28.

Select the solution(s) to the proportion:

$\frac{3}{2x}=\frac{x}{6}$

a)

-3

b)

-3 and 3

c)

3

d)

-3, 0, and 3

29.

Select the solution(s) to the proportion:

$\frac{x}{6}=\frac{-6}{x+12}$

a)

-6

b)

6

c)

6 and -6

d)

-4 and -9

30.

Select the solution(s) to the proportion:

$\frac{x+6}{7}=\frac{5}{x+8}$

a)

13 and -1

b)

-13 and -1

c)

-13 and 1

d)

13 and 1

31.

Select the solution(s) to the proportion:

$\frac{x-3}{2}=\frac{x}{x-6}$

a)

9 and 2

b)

-9 and 2

c)

-9 and -2

d)

9 and -2

32.

Select the solution(s) to the proportion:

$\frac{x-7}{12}=\frac{4x}{x+7}$

a)

-1 and 49

b)

1 and -49

c)

1 and 49

d)

-1 and -49

33.

Select the solution(s) to the proportion:

$\frac{2x+2}{x+1}=\frac{x-2}{1}$

a)

-1 and 4

b)

-1

c)

4

d)

-1 and -4

34.

Select the solution(s) to the proportion:

$\frac{x}{x+4}=\frac{x}{10}$

a)

0 and -6

b)

6

c)

-6

d)

0 and 6

35.

Select the solution(s) to the proportion:

$\frac{3}{x+2}=\frac{x-8}{13}$

a)

-5 and -11

b)

5 and 11

c)

-5 and 11

d)

5 and -11

36.

All angles in similar figures are congruent.

a)

True

b)

False

37.

Two objects that are the same shape but not the same size are _______.

a)

Congruent

b)

Vertical

c)

Similar

d)

Complementary

38.

Are the following similar? Why or why not?

a)

Yes

b)

No, the corresponding angles are not equal.

c)

No, the ratios of the corresponding sides are not equal.

39.

Find the missing measure.

a)

12

b)

14

c)

196

d)

168

40.

Solve for x.

a)

100

b)

143

c)

4

d)

95

41.

Click to see image.

a)

A

b)

B

c)

C

d)

D

42.

Marvin's son is 3 ft tall. He casts a shadow of 1 foot. Marvin casts a shadow of 2.5 ft. How tall is Marvin?

a)

3 ft

b)

7.5 ft

c)

1.2 ft.

d)

0.8 ft.

43.

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

a)

x = 9

b)

x = 28

c)

x = 7

d)

x = 63

44.

Solve for X.

a)

2 ft

b)

3 ft

c)

4 ft

d)

6 ft

45.

Find missing side

a)

5

b)

7

c)

9

d)

11

46.

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

a)

x = 20

b)

x = 12

c)

x = 5

d)

x = 4

47.

The triangles are similar, solve for the question mark.

a)

8

b)

12.5

c)

18

d)

24

48.

a)

4 ft

b)

15 ft

c)

18 ft

d)

2 ft

49.

a)

2

b)

4

c)

50

d)

40

50.

To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree. How tall is the tree?

a)

144 feet

b)

72 feet

c)

36 feet

d)

8 feet

51.

Find y.

a)

144

b)

18

c)

72

d)

12

52.

Complete each proportion.
CB / DM = AC / ?

a)

BM

b)

MA

c)

BC

d)

AD

53.

The term "corresponding" means ...

a)

congruent

b)

similar

c)

matching

d)

multiply

54.

What is true about the shape and size of similar figures?

a)

Same shape and same size

b)

Same shape and not the same size

c)

Different shape and same size

d)

Different shape and not the same size

55.

The term "congruent" means ...

a)

matching

b)

similar

c)

corresponding

d)

equal

56.

What is true about the sides of similar figures?

a)

Corresponding sides are proportional.

b)

Corresponding sides are congruent.

c)

Opposite sides are proportional.

d)

Opposite sides are congruent.

57.

What is true about the angles of similar figures?

a)

Corresponding angles are proportional.

b)

Complementary angles are proportional.

c)

Corresponding angles are congruent.

d)

Complementary angles are congruent.

58.

This symbol stands for ...

a)

similar

b)

congruent

c)

proportional

d)

corresponding

59.

This symbol stands for ...

a)

is corresponding to

b)

is proportional to

c)

is congruent to

d)

is similar to

60.

Scale factor is a ratio _____ to a side to find its corresponding side.

a)

multiplied

b)

divided

c)

added

d)

subtracted

61.

When you multiply by a scale factor over 1, it will result in ...

a)

a reduction.

b)

the same size.

c)

an enlargement.

d)

a different shape.

62.

On a map, the distance between two towns in 2.6 cm. The scale of the map is 1 cm:50 km. What is the actual distance between the two towns?

a)

100 km

b)

130 km

c)

70 km

d)

150 km

63.

A blueprint was using a scale of 3cm=4.5m. Find the actual length if it is 5cm on the drawing.

a)

7.5

b)

13.5

c)

1.5

d)

1.7

64.

Are the following similar? Why or why not?

a)

Yes

b)

No, the corresponding angles are not equal.

c)

No, the ratios of the corresponding sides are not equal.

65.

Give the reason for similarity.

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

66.

Are the triangles similar? If so, why?

a)

Similar. SAS

b)

Similar. AA

c)

Similar. SSS

d)

Not Similar

67.

Are the triangles similar? If so, why?

a)

Similar. SSS

b)

Similar. SAS

c)

Similar. AA

d)

Not Similar.

68.

Are the triangles similar?

a)

Yes

b)

No

69.

The triangles are similar by...

a)

SAS

b)

AAS

c)

ASA

d)

SSS

70.

Write the similarity statement for the triangle pair

a)

ΔXYZ~ΔNEW

b)

ΔXZY~ΔNWE

c)

ΔZYX~ΔENW

d)

ΔYZX~ΔNWE

71.

What are the five ways to prove triangles congruent?

a)

SSS, ASA, AAS, SAS, HL

b)

SSS, SSA, HL, AAS, SAS

c)

SAS, SSA, HL, AAS, SSS

d)

HL, SAS, SSA, SSS, ASA

72.

Use the information in the diagram to determine the height of the tree.

a)

80 feet

b)

320 feet

c)

40 feet

d)

160 feet

73.

Determine if triangles are similar. If so, name the shortcut that can correctly be applied.

a)

AA Similarity Theorem

b)

SSS Similarity Theorem

c)

SAS Similarity Theorem

d)

Not necessarily similar

74.

If m< KJV = 59, determine if triangles are similar. If so, name the shortcut that can correctly be applied.

a)

AA Similarity Theorem

b)

SSS Similarity Theorem

c)

SAS Similarity Theorem

d)

Not necessarily similar

75.

Determine if triangles are similar. If so, name the shortcut that can correctly be applied.

a)

AA Similarity Theorem

b)

SSS Similarity Theorem

c)

SAS Similarity Theorem

d)

Not necessarily similar

76.

Determine if triangles are similar. If so, name the shortcut that can correctly be applied.

a)

AA Similarity Theorem

b)

SSS Similarity Theorem

c)

SAS Similarity Theorem

d)

Not necessarily similar

77.

Find the value of x.

a)

15

b)

20

c)

48

d)

80

78.

Find the value of x.

a)

20

b)

36

c)

48

d)

60

79.

Find the value of x.

a)

12

b)

60

c)

64

d)

80

80.

Find the value of x.

a)

15

b)

36

c)

60

d)

80

81.

Find the value of x.

a)

15

b)

16

c)

20

d)

48

82.

Find the value of x.

a)

12

b)

20

c)

25

d)

60

83.

Find the value of x.

a)

15

b)

60

c)

144

d)

169

84.

Find the value of x.

a)

25

b)

65

c)

135

d)

225

85.

Find the value of x.

a)

36

b)

108

c)

100

d)

169

86.

Find the value of x.

a)

20

b)

25

c)

36

d)

144

87.

Find the value of x.

a)

20

b)

64

c)

65

d)

80

88.

Find the value of x.

a)

9

b)

108

c)

144

d)

225

89.

Find the value of x.

a)

16

b)

25

c)

65

d)

108

90.

Find the value of x.

a)

81

b)

144

c)

225

d)

256

91.

Find the value of x.

a)

1600

b)

2500

c)

900

d)

1500

92.

Find x.

a)

4

b)

6

c)

8

d)

12

93.

Find x.

a)

12

b)

16

c)

24

d)

30

94.

Find x.

a)

9√11

b)

32√11

c)

16√22

d)

8√22

95.

Find x.

a)

10

b)

74

c)

7

d)

25

96.

Find x. Have your answers in Radical form (if there is). Use "sqrt" for square root.

a)

81

b)

9

c)

9√95

d)

95

97.

Find x. Have your answers in Radical form (if there is). Use "sqrt" for square root.

a)

3√474

b)

54

c)

29

d)

9√6

98.

Find x. Have your answers in Radical form (if there is). Use "sqrt" for square root.

a)

10√43

b)

14

c)

20√23

d)

24

99.

Find x. Have your answers in Radical form (if there is). Use "sqrt" for square root.

a)

24

b)

3

c)

8

d)

11

100.

Find x. Have your answers in Radical form (if there is). Use "sqrt" for square root.

a)

10

b)

15

c)

20

d)

25

101.

Find x. Have your answers in Radical form (if there is). Use "sqrt" for square root.

a)

81

b)

7

c)

9

d)

49

102.

In the figure, which of the following relationship(s) is/are true?

I. $CE=\sqrt[]{AE\times ER}$

II. $CR=\sqrt[]{ER\times AR}$

III. $CA=\sqrt[]{AE\times AR}$

a)

II only

b)

I and III only

c)

II and III only

d)

I, II, and III

103.

Complete the similarity statement relating the three triangles in each diagram.

a)

△MPN ~ △MQP~ △NQP

b)

△MPN ~ △MPQ~ △NQP

c)

△MPN ~ △MQP~ △PQN

d)

△MPN ~ △MPQ~ △PQN

104.

Complete the similarity statement relating the three triangles in the diagram.

a)

△FDE ~ △GDF ~ △GFE

b)

△FDE ~ △GFD~ △GFE

c)

△FDE ~ △GFD~ △GFE

d)

△FDE ~ △GFD ~ △GEF

105.

Complete the similarity statement relating the three triangles in each diagram.

△ABC ~ △_______ ~ △_______

a)

△ABC ~ △BDC ~ △ADB

b)

△ABC ~ △CDB ~ △ADB

c)

△ABC ~ △BDC ~ △BDA

d)

△ABC ~ △DBC ~ △ADB

106.

VW ∥ UX. Find WX.

a)

23

b)

46

c)

92

d)

100

107.

Triangle ABC is a right triangle and CD is the altitude to hypotenuse Ab .Id AD = 4 and DB = 16 .Find the length of CD?

(a)

108.

How far it is across the lake?

(a)

109.

In a right triangle ABC ,CD is drawn perpendicular to hypotenuse AB.If AB = 16 and DB = 4,find the length of BC.

a)

64

b)

32

c)

25

d)

8

110.

Find h.

a)

35.71

b)

61.03

c)

35.00

d)

35.60

111.

Two triangles are _________ if and only the corresponding angles are congruent and the ratios of the lengths of corresponding sides are equal. (Orines et.al.)

a)

Congruent

b)

Similar

c)

Equal

d)

Unequal

112.

Two triangles are _________ if and only the corresponding angles are congruent and the ratios of the lengths of corresponding sides are equal. (Orines et.al.)

a)

Congruent

b)

Similar

c)

Equal

d)

Unequal

113.

If the altitude is drawn to the hypotenuse of a right triangle, then the two triangles formed are similar to the original triangle and to each other.

a)

AA Similarity Theorem

b)

AAA Similarity Theorem

c)

SAS Similarity Theorem

d)

Right Triangle Similarity Theorem

114.

If the three angles of one triangle are congruent to three angles of another triangle, then the two triangles are similar.

a)

AA Similarity Theorem

b)

AAA Similarity Theorem

c)

SAS Similarity Theorem

d)

Right Triangle Similarity Theorem

115.

Two triangles are similar if two angles of one triangle are congruent to two angles of another triangle.

a)

AA Similarity Theorem

b)

AAA Similarity Theorem

c)

SAS Similarity Theorem

d)

Right Triangle Similarity Theorem

116.

Two triangles are similar if an angle of one triangle is congruent to an angle of another triangle and the corresponding sides including those angles are in proportion.

a)

SSS Similarity Theorem

b)

AAA Similarity Theorem

c)

SAS Similarity Theorem

d)

Right Triangle Similarity Theorem

117.

When the altitude is drawn to the hypotenuse of a right triangle, the length of the altitude is the geometric mean between the segments of the hypotenuse.

a)

True

b)

False

118.

When the altitude is drawn to the hypotenuse of a right triangle, each leg is the geometric mean between the hypotenuse and the segment of the hypotenuse that is adjacent to the leg

a)

True

b)

False

119.

Solve for x. Use property 1

a)

$\sqrt[]{500}\ or\ 10\sqrt[]{5}$

b)

$\sqrt[]{600}\ or\ 10\sqrt[]{6}$

c)

$\sqrt[]{700}\ or\ 10\sqrt[]{7}$

d)

$\sqrt[]{1000}or\ 10\sqrt[]{10}$

120.

Solve for x. Use Property 2

a)

$\sqrt[]{28}or\ 2\sqrt[]{7}$

b)

$\sqrt[]{12}\ or\ 2\sqrt[]{3}$

c)

$\sqrt[]{14}$

d)

$\sqrt[]{36}\ or\ 6$

121.

What pattern can be found in the image?

a)

rosette

b)

wallpaper

c)

fractals

d)

frieze

122.

These are patterns that the scale or smaller unit is repeated continuously until it is difficult to repeat or see.

a)

golden ratio

b)

fractals

c)

patterns

d)

Fibonacci sequence

123.

This number approaches a value of ɸ (Phi) approximately equal to 1.618.

a)

golden ratio

b)

fractals

c)

patterns

d)

Fibonacci sequence

124.

A sequence of number where each number is the sum of the two numbers that precede it.

a)

golden ratio

b)

fractals

c)

patterns

d)

Fibonacci sequence

125.

The Fibonacci sequence begins with what two numbers?

a)

1, 2

b)

1, 1

c)

0, 1

d)

-1, 0

126.

What is the number that represents The Golden Ratio?

a)

3.141

b)

1.618

c)

2.624

d)

1.253

127.

The Sierpinski triangle may be constructed from an equilateral triangle

a)

True

b)

False

128.

Fractals contain "similar elements" whose scales are very varied and cover a large range

a)

True

b)

False

129.

Fractal parts have the same form or structure as a whole except that they are at a different scale or slightly deformed

a)

True

b)

False

130.

What does iteration mean?

a)

Something that is repeated

b)

Something that iters

c)

His face

131.

Self-similarity means ______________.

a)

An object looks the same no matter the distance from it.

b)

A part of an object looks similar to the whole object

c)

Both of the other answers are true

132.

Which fractal set looks like a snowflake?

a)

Koch's

b)

Mandelbrot's

c)

Cantor's

d)

His face

133.

What fractal was the Julia set used to generate?

a)

Koch

b)

Mandelbrot

c)

Cantor

d)

His face

134.

Fractal is ...

a)

A never-ending love which are infinitely complex that ruins your life

b)

A never-ending patterns which are infinitely complex patterns that are self-similar across different scales

c)

A never-ending price which are infinitely running that are moving to the right across different scales

d)

A never-ending time which are infinitely running and never return back

135.

Which of the following would be a Fibonacci sequence?

a)

1, 2, 3, 4, 5, 6

b)

2, 4, 6, 10, 16, 26

c)

3, 6, 9, 12, 15, 18

d)

4, 2, 1, 1/2, 1/4, 1/8

136.

Fibonacci wrote a book called Liber Abbaci which translates as ______________.

a)

The Book of Freedom

b)

The Book of Calculations

c)

Free Willy

d)

The Book of Really Hard Problems

137.

What was Fibonacci's real name?

a)

Leonardo Pisano

b)

Leo Pisa

c)

The Big Fibber

d)

Leonardo Fibo

138.

What Greek Symbol represents The Golden Ratio?

a)

Phi

b)

Psi

c)

Pi

d)

Theta

139.

What are some of the application of The Golden Ratio?

a)

Dance, Music and Writing

b)

Art, Reading and Counting

c)

Architecture, Music and Design

d)

English, Political Justice and Sports Management

140.

Select two that fills in one of the blanks

3, 5, __, 13, 21, __, 55, 89,...

a)

34

b)

9

c)

8

d)

28

141.

What is the approximate number for the Golden Ratio?

a)

1.1

b)

0.000465

c)

1.61913398875…

d)

1.61803398875…

142.

True or false: The Golden Ratio is rational.

a)

True

b)

False

143.

What were some of Fibonacci's mathematical contributions?

a)

The Fibonacci Sequence

b)

Arabic Numerals

c)

The Golden Ratio

d)

All of the above

144.

6, 12, 18, 30, _____, 78

a)

36

b)

42

c)

48

d)

54

145.

89, 144, _____, 377, 610, 987, 1597

a)

233

b)

266

c)

333

d)

366

146.

_____, _____, 21, 34, 55, 89

a)

2, 3

b)

5, 8

c)

8, 13

d)

13, 21

147.

____, _____, 8, 13, 21, 34

a)

2, 3

b)

3, 5

c)

5, 8

d)

8, 13

148.

55, 89, 144, 233, 377, _____

a)

590

b)

600

c)

610

d)

620

149.

100, 200, 300, 500, 800, ______

a)

1100

b)

1300

c)

1500

d)

1700

150.

8, 13, 21, _____, 55

a)

27

b)

29

c)

32

d)

34

151.

The Pascal's Triangle is named after

a)

Mary Pascal

b)

Blain Pascal

c)

Blaise Pascal

d)

Joshua Pascal

e)

Pascal Pascal

152.

What number can always be found at the left side of the triangle?

a)

0

b)

1

c)

2

d)

3

e)

4

153.

What is row 5 of Pascal's Triangle?

a)

1, 2, 1

b)

1, 3, 3, 1

c)

1, 4, 9, 4, 1

d)

1, 5, 10, 10, 5, 1

154.

What is row 7 of Pascal's Triangle?

a)

1, 5, 10, 5, 1

b)

1, 5, 10, 10, 5, 1

c)

1, 7, 21, 35, 35, 21, 7, 1

d)

1, 7, 21, 35, 21, 7, 1

155.

What number is at the top of Pascal's Triangle?

a)

1

b)

0

c)

5

d)

3

156.

How do you create Pascal's Triangle?

a)

The first row is all 1's, 2nd all 2's, third all 3's, etc.

b)

1's all the way down on the outside of both right and left sides, then add the two numbers above each space to complete the triangle.

c)

Use the perfect square numbers

d)

Count by twos

157.

Which row of Pascal's Triangle would you use to expand (x+y)⁴?

a)

1 1

b)

1 2 1

c)

1 3 3 1

d)

1 4 6 4 1

158.

Which row of Pascal's Triangle would you use to expand (x+y)³?

a)

1

b)

1 1

c)

1 2 1

d)

1 3 3 1

159.

Describe the signs ( + and - ) in the expanded form of (x -3)⁴ .

a)

all +

b)

all -

c)

alternating ending in +

d)

alternating ending in -

160.

How do you get the value of 11⁵ from Pascal Triangle?

a)

15101051

b)

160151

c)

15011051

d)

161051

161.

How do you get the value of 11⁴ from Pascal Triangle?

a)

1331

b)

14641

c)

15101051

d)

16152015

162.

If the top row of Pascal's Triangle is row 0, what is the sum of row 5?

a)

11⁵

b)

2⁵

c)

5²

d)

5¹¹

163.

Expand: $\left(a+b\right)^2$

a)

$a^2+ab+b^2$

b)

$a^2+2ab+b^2$

c)

$a^2-ab+b^2$

d)

$a^2-2ab+b^2$

164.

Expand: $\left(a+b\right)^3$

a)

$a^3-3a^2b+3ab^2+b^3$

b)

$a^3+3a^2b+3ab^{ }+b^3$

c)

$a^3+3a^2+3ab^2+b^3$

d)

$a^3+3a^2b+3ab^2+b^3$

165.

How many rows in The Pascal's triangle?

a)

7

b)

8

c)

100

d)

Infinite

166.

Select the coefficients of the 5th Row in Pascal's Triangle

a)

1;3;3;1

b)

1;4;6;4;1

c)

1;5;10;10;5;1

d)

1;6;15;20;15;6;1

167.

Choose the right Pascal's triangle

a)

b)

c)

d)

168.

Expand: $\left(x+5\right)^5$

a)

$x^5+25x^4+250x^3+1250x^2+3125x+3125$

b)

$x^5+25x^4+250x^3+1250x^2+3125x$

c)

$x^5+25x^4+250x^3+1250x^2+3025x+3025$

d)

$x^5+25x^4+250x^3+1250x^2+3025x$

169.

Expand: $\left(x+2\right)^4$

a)

$x^4+8x^3+24x^2+32x+16$

b)

$x^4+8x^3+16x^2+32x+16$

c)

$x^4+8x^3+16x^2+24x+16$

d)

$x^4+8x^3+32x^2+16x+16$

170.

Expand: $\left(a-b\right)^5$

a)

$a^5+5a^4b+10a^3b^2+10a^2b^3+5ab^4+b^5$

b)

$a^5-5a^4b+10a^3b^2-10a^2b^3+5ab^4-b^5$

c)

$a^5-5a^4b+10a^2b^3-10a^3b^2+5ab^4-b^5$

d)

$a^5-5a^4b-10a^3b^2-10a^2b^3-5ab^4-b^5$

171.

What Greek Symbol represents The Golden Ratio?

a)

Phi

b)

Psi

c)

Pi

d)

Theta

172.

What are some of the application of The Golden Ratio?

a)

Dance, Music and Writing

b)

Art, Reading and Counting

c)

Architecture, Music and Design

d)

English, Political Justice and Sports Management

173.

What is the number that represents The Golden Ratio?

a)

3.141

b)

1.618

c)

2.624

d)

1.253

174.

Who suggested to use a Greek letter to represent The Golden Ratio?

a)

Euclid

b)

Johannes Kepler

c)

Phidias

d)

Mark Barr

175.

Who wrote the book "phi: The Golden Ratio: The Story of Phi, the World's Most Astonishing Number"?

a)

Plato

b)

Mario Livio

c)

Roger Penrose

d)

Martin Ohm

176.

What is the basic formula for The Golden Ratio?

a)

(a+b)/a

b)

(a+b)/b

c)

(a-b)/a

d)

(a-b)/b

177.

What did Fibonacci say about The Golden Ratio?

a)

The Fibonacci sequence is equal to The golden ratio

b)

The Fibonacci sequence is not equal to The golden ratio

c)

The Fibonacci sequence approaches The golden ratio

d)

The Fibonacci sequence has not relation what so ever to The golden ratio

178.

What is the name of this figure?

a)

Square Ratio

b)

Rectangle Ratio

c)

Sum of Ratio

d)

Regular Ratio

179.

In what math subject does The Golden ratio appear frequently?

a)

Differential Equation

b)

Trigonometry

c)

Calculus

d)

Geometry

180.

Who was the first to write about The Golden Ratio on collection of 13 books "The Elements"?

a)

Euclid

b)

Plato

c)

Phidias

d)

Fibonacci

181.

1. What are some of the application of The Golden Ratio?

a)

Dance, Music and Writing

b)

Architecture, Music and Design

c)

Art, Reading and Counting

d)

English, Political Justice and Sports Management

182.

What did Fibonacci say about The Golden Ratio?

a)

The Fibonacci sequence is equal to The golden ratio

b)

The Fibonacci sequence approaches The golden ratio

c)

The Fibonacci sequence is not equal to The golden ratio

d)

The Fibonacci sequence has not relation what so ever to The golden ratio

183.

The number pi (3.142...) is celebrated on 14 March. On which day do we celebrate phi day?

a)

18 June

b)

16 March

c)

9 July

d)

19 June

184.

The ancient Egyptians used the golden ratio in their pyramids. At that time, the golden ratio was known to them by another name, which is?

a)

The universal ratio

b)

The sacred ratio

c)

The magic ratio

d)

The perfect ratio

185.

The golden ratio is also known by many other names. Which of the following names is NOT one of those?

a)

The golden number

b)

The golden integer

c)

The golden mean

d)

The golden proportion

186.

What is the basic formula for The Golden Ratio?

a)

(a+b)/a

b)

(a+b)/b

c)

(a-b)/a

d)

(a-b)/b

187.

Which of the following is the symbol for Golden Ratio?

a)

Σ (Sigma)

b)

ϕ (Phi)

c)

π (Pi)

d)

µ (Mu)

188.

Choose all of the ratios equivalent to 6:4:8

a)

3:2:4

b)

9:6:12

c)

1.5:1:2

d)

12:8:16

189.

All of these are other terms for Golden Ratio, EXCEPT

a)

Golden Cut

b)

Golden Number

c)

Golden Rule

d)

Golden Mean

190.

All of these architectures are designed with Golden Ratio, EXCEPT:

a)

Eiffel Tower

b)

Statue of Liberty

c)

CN Tower

d)

Notre Dame de Paris

191.

All of these are the importance of knowing and applying Golden Ratio in Artwork, EXCEPT:

a)

It promotes Accuracy

b)

It makes design More Appealing

c)

It makes design Static

d)

It makes the artwork More Natural

192.

A telephone booth that is 8 ft tall casts a shadow that is 4 ft long. Find the height of a lawn ornament that casts a 2 ft shadow.

a)

4 ft

b)

2 ft

c)

8 ft

d)

6ft

193.

If a 42.9 ft tall statue casts a 253.1 ft long shadow then how long is the shadow that a 6.2 ft tall man casts?

a)

41.7 ft

b)

36.6 ft

c)

34.6 ft

d)

38.8 ft

194.

A power pole 10 m tall casts a shadow 8 meters long, at the same time that a building nearby casts a shadow 14 m long. How tall is the building?

a)

9 m

b)

15.2 m

c)

12 m

d)

17.5 m

195.

A map has a scale of 3 cm:18km. If Oakdale and Woodridge are 54 km apart, then they are how far apart on the map?

a)

15 cm

b)

8.7 cm

c)

9 cm

d)

6 cm

196.

The accompanying diagram shows a 24-foot ladder leaning against a building. A steel brace extends from the ladder to the point where the building meets the ground. The brace forms a right angle with the ladder.If the steel brace is connected to the ladder at a point that is 10 feet from the foot of the ladder, which equation can be used to find the length, x, of the steel brace?

a)

$\frac{10}{x}=\frac{x}{14}$

b)

$\frac{10}{x}=\frac{x}{24}$

c)

$10^2+x^2=14^2$

d)

$10^2+x^2=24^2$

197.

Find the length of AB.

a)

36

b)

18

c)

6

d)

12

198.

What is the formula for Geometric Mean?

a)

$\frac{height}{leg}=\frac{leg}{height}$

b)

$\frac{leg}{height}=\frac{leg}{height}$

199.

Find the approximate height of the waterfall.

a)

156.8 ft

b)

161.8 ft

c)

33 ft

d)

140 ft

200.

How tall is the cliff?

a)

588 ft

b)

591 ft

c)

600 ft

d)

569 ft

201.

What is geometric mean of 4 and 9?

a)

5

b)

6

c)

7

d)

8

202.

Find the geometric mean for 5 and 8

a)

4

b)

10

c)

2√10

d)

4√10

203.

Find the geometric mean for 4 and 9.

a)

6

b)

2√3

c)

3√2

d)

8

204.

Find the geometric mean for 2 and 25.

a)

5

b)

2√5

c)

2

d)

5√2

205.

Find the geometric mean for 6 and 8.

a)

16√3

b)

4√3

c)

3√4

d)

3√16

206.

Find the geometric mean for 5 and 25.

a)

5√5

b)

5

c)

5√2

d)

2√5

207.

Find the geometric mean for 3 and 9.

a)

3

b)

3√3

c)

9

d)

9√3

208.

Which is the geometric mean between 81 and 4?

a)

18

b)

16

c)

11

d)

85

209.

The geometric mean of 4 and __________ is 6. What is the missing number?

a)

6

b)

2√3

c)

3√2

d)

9

Chapter 7 Review (8DA)

Total questions: 209

Worksheet time: 52hrs 15mins

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