Free Printable Units 1, 2, & 7 Review

1.

What is the formula for scale factor?

a)

$\frac{new}{old}$

b)

$\frac{old}{new}$

2.

How do you write the algebraic notation when the scale factor is 3?

a)

(x, y) goes to (1/3x, 1/3y)

b)

(x, y) goes to (-3x, -3y)

c)

(x, y) goes to (x + 3, y + 3)

d)

(x, y) goes to (3x, 3y)

3.

Dilate the figure by a scale factor of 3. What are the coordinates of the image?

A(3,3) B(6,6) C(9,3)

a)

A'(9,9) B'(18,18) C'(27,9)

b)

A'(6,6) B'(9,9) C'(12,6)

c)

A'(0,0) B'(3,3) C'(6,0)

d)

A'(1,1) B'(2,2) C'(3,1)

4.

Dilate Point B by a scale factor of 3:

a)

(12,0)

b)

(12,12)

c)

(4,3)

d)

(0,12)

5.

Triangle ABC will be dilated by a scale factor of 1/2. What will be the coordinates of C'?

a)

(-1, -2.5)

b)

(12, 6)

c)

(3, -1.5)

d)

(0, 1.5)

6.

Enlargement or reduction? Find the scale factor!

a)

It's a reduction; the scale factor is 2.

b)

It's an enlargement; the scale factor is 2.

c)

It's an enlargement; the scale factor is 1/2.

d)

It's a reduction; the scale factor is 1/2.

7.

Enlargement or reduction? Find the scale factor!

a)

It's an enlargement; the scale factor is 1/2.

b)

It's an enlargement; the scale factor is 2.

c)

It's a reduction; the scale factor is 1/2.

d)

It's a reduction; the scale factor is 2.

8.

Trapezoid A’B’C’D’ is the dilation of trapezoid ABCD.

Which algebraic representation shows this dilation?

a)

(x, y) --> (2x, 2y)

b)

(x, y) --> (0.5x, 0.5y)

c)

(2x, 2y) --> (x, y)

d)

(x, y) --> (3x, 2y)

9.

A ~ B. What is the scale factor of the dilation of A to B?

a)

$\frac{4}{3}$

b)

$\frac{3}{4}$

c)

3

d)

4

10.

Does the image show a Dilation and what is the scale factor?

a)

Yes; k = 2

b)

Yes; k = 1/2

c)

No, it's a translation.

d)

No, it's a reflection.

11.

ABC ~ XYZ. What is the scale factor of the dilation of ABC to XYZ?

a)

$\frac{2}{3}$

b)

$\frac{3}{2}$

c)

2

d)

3

12.

A dilation is which of the following:

a)

only an enlargement

b)

only a reduction

c)

Either an enlargement or a reduction

d)

Neither an enlargement or a reduction

13.

State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor of 2.

a)

B' (2 , 4.5)

b)

B' (-8 ,-18)

c)

B' (8 ,18)

d)

B' (9 ,4)

14.

Dilate the figure by a scale factor of 3. What are the coordinates of the image?

A(3,3) B(6,6) C(9,3)

a)

A'(9,9) B'(18,18) C'(27,9)

b)

A'(6,6) B'(9,9) C'(12,6)

c)

A'(0,0) B'(3,3) C'(6,0)

d)

A'(1,1) B'(2,2) C'(3,1)

15.

The rule (x, y) --> (1/2x, 1/2y) will produce what type of image?

a)

Similar figure that is an enlargement

b)

Similar figure that is a reduction

c)

Congruent figure

d)

None

16.

What scale factor was used to produce the image?

a)

2

b)

-2

c)

¹/₂

d)

1

17.

In a dilation what mathematical operation is used with the scale factor?

a)

addition

b)

subtraction

c)

multiplication

d)

division

18.

When a dilation has a scale factor greater than one, the dilation is an enlargement.

a)

True

b)

False

19.

The figure before a dilation has occurred is called what?

a)

Pre-image

b)

Image

c)

Translation

d)

Reflection

20.

The figure after a dilation has occurred is called what?

a)

Pre-image

b)

Image

c)

Translation

d)

Reflection

21.

Select all that apply that will classify the following number: -16

a)

NATURAL

b)

WHOLE

c)

INTEGER

d)

RATIONAL

22.

Select all that apply that will classify the following number: 4

a)

NATURAL

b)

WHOLE

c)

INTEGER

d)

RATIONAL

23.

Select all that apply that will classify the following number: -2.5

a)

NATURAL

b)

WHOLE

c)

INTEGER

d)

RATIONAL

24.

Select all that apply that will classify the following number: $\frac{1}{2}$

a)

NATURAL

b)

WHOLE

c)

INTEGER

d)

RATIONAL

25.

Select all that apply that will classify the following number: 0.3333...

a)

NATURAL

b)

WHOLE

c)

INTEGER

d)

RATIONAL

26.

Select all that apply that will classify the following number: -3

a)

NATURAL

b)

WHOLE

c)

INTEGER

d)

RATIONAL

27.

Select all that apply that will classify the following number: 0

a)

NATURAL

b)

WHOLE

c)

INTEGER

d)

RATIONAL

28.

Select all that apply that will classify the following number: $-\frac{1}{2}$

a)

NATURAL

b)

WHOLE

c)

INTEGER

d)

RATIONAL

29.

Select all that apply that will classify the following number: 8

a)

NATURAL

b)

WHOLE

c)

INTEGER

d)

RATIONAL

30.

Select all that apply that will classify the following number: $\frac{4}{2}$

a)

NATURAL

b)

WHOLE

c)

INTEGER

d)

RATIONAL

31.

Which of the following is NOT an irrational number?

a)

$\sqrt[]{16}$

b)

5.58703...

c)

$\sqrt[]{96}$

d)

$\pi$

32.

Which of the following is NOT a natural number?

a)

12

b)

3,000

c)

5

d)

0

33.

Pi is an example of which type of number?

a)

Irrational number

b)

Natural number

c)

Unnatural number

d)

Fraction

34.

Classify the following: $\sqrt[]{7}$ ?

a)

Rational

b)

Irrational

35.

What type of number is $3.\overline{5}$ ?

a)

Integer

b)

Rational Number

c)

Irrational Number

d)

Natural Number

36.

Change from standard form to scientific notation: 12,000,000

a)

12.0 x 10⁷

b)

0.12 x 10⁷

c)

1.2 x 10⁶

d)

1.2 x 10⁷

37.

Change from standard form to scientific notation: 450,000

a)

4.5 x 10⁵

b)

45 x 10⁵

c)

4.5 x 10⁴

d)

4.5 x 10⁶

38.

Change from standard form to scientific notation: 0.000398

a)

39.8 x 10^-5

b)

3.98 x 10^-5

c)

3.98 x 10^-4

d)

39.8 x 10^-6

39.

Change from standard form to scientific notation: 0.004078

a)

4.078 x 10^-3

b)

4.078 x 10³

c)

40.78 x 10^-4

d)

.4078 x 10^-2

40.

Which number is correctly written in scientific notation?

a)

5.67 x 10⁵

b)

56.7 x 10³

c)

0.567 x 10⁶

41.

Consider Scientific Notation...

5 Which is the correct coefficient of 147,000 when it is written in scientific notation

a)

147

b)

14.7

c)

1.47

d)

0.147

42.

Which number is correctly written in scientific notation?

a)

8.2 x 10²

b)

82 x 10⁷

c)

3.45 x 9⁴

43.

The rule of scientific notation is to write all exponents with a base of ____.

a)

50

b)

5

c)

100

d)

10

44.

Which of the following in the LARGEST number?

a)

9 x 10⁶

b)

8 x 10¹⁰

c)

1.3 x 10¹²

d)

5.3 x 10³

45.

Write 9.8 x 10^-5in standard form

a)

0.00098

b)

0.000098

c)

.098

d)

98,000

46.

a)

A

b)

B

c)

C

d)

D

47.

a)

F

b)

G

c)

H

d)

J

48.

a)

A

b)

B

c)

C

d)

D

49.

a)

F

b)

G

c)

H

d)

J

50.

a)

A

b)

B

c)

C

d)

D

51.

What is volume?

a)

The amount of space of a 2-D object

b)

The amount of space in a 3-D object

c)

Water

d)

Area

52.

Is the red line a radius or diameter of the circle?

a)

Radius

b)

Diameter

53.

What is the diameter?

a)

5 in

b)

10 in

c)

3.14 in

d)

15.84 in

54.

How do you find the area of a circle?

a)

$A=b\cdot h$

b)

$A=\frac{1}{2}b\cdot h$

c)

$A=\pi\cdot r^2$

d)

$A=\frac{1}{2}\left(b_1+b_2\right)\cdot h$

55.

Find the volume of the cylinder.

a)

4239 m³

b)

1696 m³

c)

1130 m³

d)

565 m³

56.

Find the volume of the cylinder.

a)

282.6

b)

516.2

c)

133

d)

214

57.

What is the formula for volume of a CYLINDER?

a)

V = πr²

b)

V = πr²h

c)

V = ⅓πr²h

d)

V = ⅓LWH

58.

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

59.

A cylindrical carton of oatmeal has a diameter of 13 cm and is 24 cm tall. Find the volume.

a)

12742.3 cubic cm

b)

3185.6 cubic cm

c)

3452 cubic cm

d)

8345 cubic cm

60.

Find the volume of this shape

a)

1520.53 cm³

b)

276.46 cm³

c)

552.93 cm³

d)

6082.12 cm³

61.

Which cylinder will have a larger volume?

a)

Cylinder A

b)

Cylinder B

62.

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)

63.

Find the volume of a cylinder with a height of 3 m and a diameter of 3 m. Round to the nearest tenth.

a)

21.2 m³

b)

84.8 m³

c)

28.3 m³

d)

25.6 m³

64.

What is the volume of a cylinder a radius of 5 feet and a height of 8 feet, in terms of pi?

a)

$200\pi\ \ ft^3$

b)

$800\pi\ \ ft^3$

c)

$628.32\ \ ft^3$

d)

$2,764.60\ \ ft^3$

65.

What is the volume of a cylinder with radius 3 cm and height of 6 cm, in terms of pi?

a)

$54\pi\ \ cm^3$

b)

$169.65\ \ cm^3$

c)

$216\pi\ \ cm^3$

d)

$678.58\ \ cm^3$

66.

What is the volume of a cylinder with diameter 40 mm and height 30 mm, in terms of pi?

a)

$12,000\pi\ \ mm^3$

b)

$48,000\pi\ \ mm^3$

c)

$37,699.11\ \ mm^3$

d)

$150,796.45\ \ mm^3$

67.

What is the volume of a cylinder with a diameter of 8 inches and height of 10 inches, in terms of pi?

a)

$160\pi\ \ in^3$

b)

$502.65\ \ in^3$

c)

$640\pi\ \ in^3$

d)

$2010.62\ \ in^3$

68.

If the diameter of a circle is 4, what is the radius?

a)

2

b)

4

c)

8

d)

16

69.

If the diameter of a circle is 7, what is the radius?

a)

3.5

b)

7

c)

14

d)

49

70.

If the radius of a circle is 6, what is the diameter?

a)

3

b)

6

c)

12

d)

36

71.

What is the formula for Volume of a Cone?

a)

V=π r³h

b)

V=π r²h

c)

V= $\frac{1}{3}$ π $r^2$ h

d)

V= $\frac{4}{3}$ π $r^3$

72.

Find the volume of the conical figure. Round to the nearest hundredth.

a)

14.13 in³

b)

56.55 in³

c)

169.65 in³

d)

113.10 in³

73.

a)

8.4 ft³

b)

100.5 ft³

c)

25 ft³

d)

16.8 ft³

74.

Find the volume of the figure.

a)

150.8 cm³

b)

48 cm³

c)

452.4 cm³

d)

339 cm³

75.

a)

42.4 in³

b)

169.6 in³

c)

56.5 in³

d)

14.13 in³

76.

a)

1,767 ft³

b)

7,068.5 ft³

c)

589 ft³

d)

2,356.2 ft³

77.

A styrofoam model of a volcano is in the shape of a cone. The model has a circular base with a diameter of 48 centimeters and a height of 12 centimeters. Find the volume of foam in the model to the nearest tenth.

a)

7,238.2 cm³

b)

28,952.9 cm³

c)

1,809.6 cm³

d)

21,714.7 cm³

78.

Mike has a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone as shown. Which is closest to the volume of Mike’s cup?

a)

21 cubic inches

b)

63 cubic inches

c)

66 cubic inches

d)

198 cubic inches

79.

A cone has a height of 6 centimeters and a radius of 5 centimeters. What is the volume of this shape? Round to the nearest hundredth.

a)

471.24 cm³

b)

565.49 cm³

c)

188.50 cm³

d)

157.08 cm³

80.

An ice cream cone that is 4 inches tall has a diameter that is 8 inches across. Find the volume of the cone.

a)

201.06 in³

b)

67.02 in³

c)

268.08 in³

d)

50.27 in³

Units 1, 2, & 7 Review

Total questions: 80

Worksheet time: 5hrs 42mins

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