Free Printable Review-Exp,SN,Vol-2/28/25

1.

The Pythagorean Theorem ONLY works on what kind of triangle ?

(a)

2.

The Pythagorean Theorem is...

a)

a² + b²= c²

b)

a² - b²= c²

c)

a² / b²= c²

d)

a² x b²= c²

e)

freely interpreted,

like jazz

3.

What is the opposite of squaring a number?

a)

dividing

b)

multiplying

c)

fractions

d)

taking the

square root

e)

squaring a number

4.

Find the length of the missing side.

Write your answer with units.

(a)

5.

In a right triangle what is the longest side called ?

(Be sure to spell it right.)

(a)

6.

Find the missing side length.

(a)

7.

Find the length of the hypotenuse.

a)

28 cm

b)

1,000,000 cm

c)

52 cm

d)

2704 cm

e)

68 cm

8.

Which set of side lengths would make a right triangle ?

Select all that apply

a)

4, 5, 6

b)

8, 10, 12

c)

5, 12, 13

d)

5, 10, 12

e)

3, 4, 5

9.

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

e)

-12 feet

10.

How do you simplify the expression
c⁴⋅ c³

a)

Multiply the exponents

b)

Add the exponents

c)

Subtract the exponents

d)

Divide the exponents

11.

$\left(2^8\right)^2\ =$

a)

$2^{16}$

b)

$2^{10}$

c)

$2^6$

d)

$2^4$

12.

Simplify 4^-2

a)

1/16

b)

-16

c)

1/4

d)

-42

e)

-8

13.

When dividing powers with the same base, you _______________ the exponents.

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

e)

Square

14.

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

a)

x⁴

b)

x¹²

c)

x³

d)

x⁸

e)

x-⁸

15.

Simplify:

$x^{-3}\ =$

a)

$-x^3$

b)

$\frac{1}{x^3}$

c)

$\frac{1}{x^{-3}}$

d)

$\frac{-x}{-3}$

e)

$x^{-n}$

16.

Anything raised to a power of zero is always...

(a)

17.

Simplify the expression using exponential notation:

$\left(a^4\right)^3$

a)

$a^{12}$

b)

$a^7$

c)

$a$

d)

$a^{15}$

18.

How do you write
5⋅5⋅5⋅5⋅5⋅5⋅5
with an exponent?

a)

5⁷

b)

5⁶

c)

7⁵

d)

5

19.

Simplify:

(x³)(x²)

a)

x⁵

b)

x⁶

c)

x

d)

x¹

20.

x³· x⁴=

a)

x⁷

b)

x¹

c)

x^-7

d)

x^-1

e)

x¹²

21.

What is the diameter ?

(a)

22.

What is the radius ?

(a)

23.

What is the height of the cone ?

a)

12 in

b)

6 in

c)

9 in

d)

96 in

e)

3 in.

24.

What is the radius ?

(a)

25.

What is the height of the cylinder ?

(a)

26.

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

e)

The meter of a mile

27.

What shape is this?

a)

Sphere

b)

Circle

28.

The Sphere has a diameter of 20 centimeters.

Rounded to the nearest whole number,

What is the volume of the sphere ?

(cc = cubic centimeters)

a)

4,189 cc

b)

1,333 cc

c)

2,364 cc

d)

5,000 cc

e)

5303 cc

29.

Find the volume of the cone.

a)

$156\pi\ m^3$

b)

$702\pi\ m^3$

c)

$2106\pi\ m^3$

d)

$78\pi\ m^3$

30.

V = ?

a)

150.72 mm³

b)

904.32 mm³

c)

2,712.96 mm³

d)

2,718.00 mm³

e)

907.33 mm³

31.

Which units are NOT used for volume?

a)

cm³

b)

cubic meters

c)

mm³

d)

km²

32.

Find the volume of the sphere.

Use 3.14 for pi.

a)

78.5 m³

b)

392.5 m³

c)

523.3 m³

d)

62.8 cm³

33.

Find the volume of the cone.

a)

320.4 in³

b)

314.2 in³

c)

205.5 in³

d)

267.4 in³

34.

What formula could be use to find the volume of this shape?

a)

V=2πrh

b)

V=1/3Bh

c)

V=Bh

d)

V=πr²

35.

Find the volume of the following shape.

(What two solids are being added together ?)

a)

4155.27 m³

b)

1038.82 m³

c)

804.24 m³

d)

1005.31 m³

36.

________ is the amount of space inside of a 3D shape.

a)

Surface Area

b)

Volume

37.

What is the formula for the volume of a cylinder ?

a)

$V=Bh$

b)

$V=\frac{1}{3}Bh$

c)

$V=\frac{4}{3}\pi r^3$

d)

$V=\frac{4\pi r^3}{3}$

e)

$V=\frac{Bh}{3}$

38.

Which of the following numbers is the SMALLEST?
Cual numero es mas chico?

a)

8.7 x 10³

b)

3 x 10⁴

c)

1.3 x 10⁸

d)

9 x 10²

39.

How do you write
8.317 x 10⁶in standard form?

(a)

40.

Write 52,300,000 in scientific notation.

a)

5.23 x 10⁷

b)

5.230 x 10⁷

c)

52.3 x 10⁶

d)

52.30 x 10⁶

41.

In the following scientific notation,

Which number tells us how many spaces to move the decimal?
Cual numero indica el numero de espacios para mover el decimal
8.317 x 10⁶

a)

exponent = 6

b)

coefficient = 6

c)

exponent = 10

d)

exponent = 8.317

42.

Which of the following is correct scientific notation?

a)

20.35 x 10⁴

b)

.2035 x 10⁴

c)

2035⁴

d)

2.035 x10⁴

43.

Which one of these is in scientific notation ?

a)

8.987000

b)

8.98 x 10⁶

c)

80.987 x 10

d)

8.98⁶

e)

8987000 x 10^-1

44.

Write 7.113 x 10⁷ in standard form.

Be sure to use commas in your answer.

(a)

45.

UNDERSTANDING
If the exponent is a positive number...

a)

you will get a large number

b)

you will get a smaller number

46.

UNDERSTANDING
If the exponent is a negative number...

a)

you will get a large number

b)

you will get a small number

47.

What is the simplified version of

a)

3.9 x 10⁶

b)

4 x 10²⁰

c)

4 x 10⁶

d)

3.9 x 10²⁰

48.

When your exponent is negative, you move your decimal....

a)

to the right

b)

to the left

c)

to both sides

d)

nowhere.... the decimal goes nowhere

49.

Express the following in scientific notation:
.000457

a)

457 x 10⁶

b)

457 x 10^-6

c)

4.57 x10⁴

d)

4.57 x 10^-4

50.

How would you write 0.0005 in scientific notation?

a)

50 x 10^-5

b)

5 x 10^-4

c)

5 x 10^-3

d)

.5 x 10^-3

Review-Exp,SN,Vol-2/28/25

Total questions: 50

Worksheet time: 50mins

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