Deck 1: Introduction

Question 1

The radius of a circle is increased by 5%.The percentage increase of the area is

A) 5%.
B) 10%.
C) 12%.
D) 16%.

Answer 1

10%.

Question 2

If the surface area of a sphere is increased by 16%,by what percentage has the radius been changed?

A) 16%
B) 8.1%
C) 7.7%
D) 12%

Answer 2

7.7%

Question 3

By what factor does the volume of a cube increase if the length of the edges are doubled?

A) 2
B) 4
C) 6
D) 8

Answer 3

6

Question 4

The radius of a sphere is 2.00 m.The surface area of the sphere is

A) 36.7 m².
B) 50.3 m².
C) 72.5 m².
D) 75.0 m².

Question 5

In everyday language,speed and velocity are synonyms,but in physics

A) velocity has only magnitude.
B) speed has only direction.
C) velocity has magnitude and direction.
D) speed has magnitude and direction.
E) velocity has only direction.

Question 6

Algebraic symbols in physics equations represent physical quantities,therefore

A) the symbols represent numbers only.
B) the symbols represent numbers and units.
C) the symbols consist of units only.
D) the symbols are only abstract.
E) the symbols are only imaginary.

Question 7

The diameter of a circle is doubled. By what factor is the area changed?

A) $\sqrt{2}$
B) 2
C) 4
D) $\sqrt{4}$
E) 1

Question 8

By what factor larger is a 12 inch pizza than a 10 inch pizza?

A) 1.2
B) 1.1
C) 1.4
D) 1.6

Question 9

If the length of a box is reduced by one-third and the width and height are doubled,by what factor has the volume changed?

A) 4/3
B) 2/3
C) 3/4
D) 3/2

Question 10

In everyday language,power and force are similar,but in physics

A) force has only magnitude.
B) power has only direction.
C) force has magnitude and direction.
D) power has magnitude and direction.
E) None of these answers are correct.

Question 11

The radius of a circle is increased by 5%.The percentage increase of the circumference is

A) 5%.
B) 10%.
C) 12%.
D) 16%.

Question 12

What is the percentage increase in size when ordering a 14 inch rather than a 12 inch pizza?

A) 16%
B) 26%
C) 36%
D) 46%

Question 13

The volume of a sphere is 8.00 m³.The radius of the sphere is

A) 1.24 m.
B) 2.00 m.
C) 2.65 m.
D) 3.00 m.

Question 14

The side of a cube is decreased by 6%.The percentage decrease of the volume of the cube is

A) 6%.
B) 9%.
C) 12%.
D) 17%.

Question 15

The radius of a circle is tripled. By what factor is the area changed?

A) 3
B) 6
C) 9
D) 12

Question 16

By what factor does the volume of a cube increase if the lengths of the edges are tripled?

A) 6
B) 9
C) 3
D) 27

Question 17

The last page of a book is numbered 814 and the book is 3.00 cm thick.What is the average thickness of each page?

A) 2.54 $\times$ 10³ cm
B) 2.54 $\times$ 10^-3 cm
C) 7.37 $\times$ 10^-3 cm
D) 3.92 $\times$ 10^-3 cm

Question 18

The side of a cube is increased by 5%.The percentage increase of the surface area of the cube is

A) 5%.
B) 10%.
C) 12%.
D) 16%.
E) 18%.

Question 19

A student of physics watching the Star Wars films knows that according to the laws of physics

A) the Rebel heroes can see the flash of an explosion in space.
B) the Rebel heroes can hear the sound of an explosion in space.
C) the Rebel heroes can hear each other over their radios in space.
D) the Rebel heroes can see the flash of an explosion in space and the Rebel heroes can hear each other over their radios in space.
E) the Rebel heroes can see the flash of an explosion in space and the Rebel heroes can hear the sound of an explosion in space.

Question 20

If the surface area of a sphere is increased by a factor of 3,by what factor does the radius of the sphere change?

A) 1.14
B) 1.73
C) 2.00
D) 2.24

Question 21

Using the following unit conversions: 1.00 fluid ounce = 29.573 ml,1.00 L = 1000 cm³,density of water = 1.00gm/cm³,the number of fluid ounces in a kg of water is

A) 48.8 fluid ounces.
B) 40.1 fluid ounces.
C) 33.8 fluid ounces.
D) 25.7 fluid ounces.

Question 22

The length 4.221 cm is added to 0.01 cm.The appropriately rounded sum is

A) 4.22 cm.
B) 4.2301 cm.
C) 4.23 cm.
D) 4.2 cm.
E) 4.21 cm.

Question 23

1.0 kilometer equals ___________ nanometers.

A) 1.0 $\times$ 10⁺¹²
B) 1.0 $\times$ 10⁺⁶
C) 1.0 $\times$ 10⁺⁴
D) 1.0 $\times$ 10^-3

Question 24

How many square centimeters are there in 1 square foot (1 in = 2.540 cm)?

A) 9.290 $\times$ 10³ cm²
B) 929.0 cm²
C) 9.290 $\times$ 10⁴ cm²
D) 92.90 cm²
E) 9.3 $\times$ 10² cm²

Question 25

The length 3.76 mm is multiplied by 0.0232 mm.The appropriately rounded product is

A) 0.082 mm².
B) 0.09 mm².
C) 0.087 mm².
D) 0.0872 mm².
E) 0.08723 mm².

Question 26

The precision and number of significant figures in 1.003 km is

A) precision = .0001 km,significant figure = 4.
B) precision = .001 km,significant figure = 4.
C) precision = .0001 km,significant figure = 3.
D) precision = .001 km,significant figure = 3.
E) precision = .0001 km,significant figure = 2.

Question 27

The population of the United States is approximately 290,000,000.Write this in scientific notation.

A) 2.9 $\times$ 10⁷
B) 290 $\times$ 10⁷
C) 2.90 $\times$ 10⁷
D) 2.9 $\times$ 10⁸

Question 28

A cube is 1.0 inch in length on the side (1 in = 2.540 cm).The volume of the cube is

A) 1.64 $\times$ 10⁺¹ cm³.
B) 1.6387 $\times$ 10⁺¹ cm³.
C) 1.6 $\times$ 10⁺¹ cm³.
D) 1.639 $\times$ 10⁺¹ cm³.

Question 29

Which of the SI prefixes is used to indicate 10⁹?

A) kilo
B) mega
C) giga
D) tera
E) nano

Question 30

1.0 centimeter equals ___________ micrometers.

A) 1.0 $\times$ 10⁺¹²
B) 1.0 $\times$ 10⁺⁶
C) 1.0 $\times$ 10⁺⁴
D) 1.0 $\times$ 10^-3

Question 31

The length 3.76 mm is divided by 6 mm.The appropriately rounded ratio is

A) 0.627.
B) 0.63.
C) 0.6.
D) 0.62666.
E) 0.6267.

Question 32

The number of significant figures in 3.24 cm is

A) 2.
B) 3.
C) 4.
D) 5.

Question 33

The length 3.76 mm is multiplied by 0.05 mm.The appropriately rounded product is

A) 0.18 mm².
B) 0.2 mm².
C) 0.19 mm².
D) 0.1881 mm².
E) 0.29 mm².

Question 34

One angstrom = 10^-10 m and one fermi = 10^-15 m.What is the relationship between these units?

A) 1 angstrom = 10⁵ fermi
B) 1 angstrom = 10^-5 fermi
C) 1 angstrom = 10^-25 fermi
D) 1 angstrom = 10²⁵ fermi

Question 35

The precision and number of significant figures in 0.0045 mm is

A) precision = .0001 mm,significant figures = 4.
B) precision = .001 mm,significant figures = 4.
C) precision = .0001 mm,significant figures = 3.
D) precision = .001 mm,significant figures = 3.
E) precision = .0001 mm,significant figures = 2.

Question 36

1.0 micrometer equals _____________ millimeters.

A) 1.0 $\times$ 10^-6
B) 1.0 $\times$ 10^-3
C) 1.0 $\times$ 10⁺³
D) 1.0 $\times$ 10⁺⁶

Question 37

If the radius of the earth is 6400.0 km and the atmosphere is 10.0 km high,then the volume of air around the earth is

A) 5.135 $\times$ 10⁺¹⁸ m³.
B) 3.605 $\times$ 10⁺¹⁶ m³.
C) 5.14 $\times$ 10⁺¹⁸ m³.
D) 6.211 $\times$ 10⁺¹² m³.

Question 38

The price of gasoline goes up 6% on Monday night and then goes down 7% today.What is the net percentage change in the price of gasoline from Monday?

A) 1.0%
B) 2.0%
C) 1.4%
D) -1.0%

Question 39

The number of seconds in a 30 day month is

A) 2.59 $\times$ 10⁺⁶.
B) 2.592 $\times$ 10⁺⁶.
C) 2.5920 $\times$ 10⁺⁶.
D) 2.592000 $\times$ 10⁺⁶.

Question 40

The length 3.76 mm is divided by 0.0232 mm.The rounded ratio is

A) 160.
B) 162.
C) 162.1.
D) 162.07.
E) 162.069.

Question 41

Find the equation v² = ah + b that fits the following data.

A) v² = 4h + 0
B) v² = 2h + 4
C) v² = 4h + 4.90
D) v² = 2h + 0

Question 42

Which of the following is not a SI base unit?

A) kelvin
B) kilogram
C) newton
D) second
E) meter

Question 43

To be dimensionally consistent,distance [L],velocity [L/T],and acceleration [L/T²] must be related as follows.

A) distance = velocity²/acceleration
B) distance = velocity/acceleration
C) distance = velocity² $\times$ acceleration
D) distance = velocity $\times$ acceleration²

Question 44

To be dimensionally consistent,velocity [L/T],pressure [M/LT²],and density [M/L²] must be related as follows.

A) velocity = pressure/density
B) velocity² = pressure/density²
C) velocity = pressure/density²
D) velocity² = pressure/density

Question 45

To be dimensionally consistent,the formula velocity = frequency $\times$ wavelength must be related as follows where velocity [L/T],frequency [1/T],and wavelength [L].

A) velocity = frequency² $\times$ wavelength
B) velocity = frequency $\times$ wavelength
C) velocity = frequency/wavelength
D) velocity = frequency/wavelength²

Question 46

Find the equation x = at² + bt that fits the following data.

A) x = 2t² + 0
B) x = 6t² - 3t
C) x = 2t² + 2t
D) x = t² + t

Question 47

Find the equation x = at² + b that fits the following data.

A) x = t² + 18
B) x = 2t² - 2
C) x = t² + 3
D) x = 2t² + 0

Question 48

Find the equation x = at² + b that fits the following data.

A) x = -4t² + 60
B) x = 5t² + 60
C) x = -2t² + 60
D) x = 3t² + 60

Question 49

To be dimensionally consistent,force [ML/T²],pressure [M/LT²],and length [L] must be related as follows.

A) force = pressure² $\times$ length²
B) force = pressure² $\times$ length
C) force = pressure $\times$ length²
D) force = pressure $\times$ length

Question 50

Find the equation x = at + b that fits the following data.

A) x = 20t - 80
B) x = -20t + 80
C) x = 40t + 80
D) x = -40t + 20

Question 51

Find the equation x = at² + b that fits the following data.

A) x = 4t² + 16
B) x = 2t² - 16
C) x = 4t² - 16
D) x = 2t² + 16

Question 52

Find the equation x = at + b that fits the following data.

A) x = 45 t + 20
B) x = 35 t + 20
C) x = 35 t + 15
D) x = 25 t + 45

Question 53

To be dimensionally consistent,distance [L],velocity [L/T],and time [T] must be related as follows.

A) distance = time/velocity
B) distance = velocity/time
C) distance = time/velocity²
D) distance = velocity $\times$ time²
E) distance = velocity $\times$ time

Question 54

To be dimensionally consistent,pressure [M/LT²],density [M/L³],and velocity [L/T] must be related as follows.

A) pressure² = density $\times$ velocity²
B) pressure = density $\times$ velocity²
C) pressure = density $\times$ velocity
D) pressure = density² $\times$ velocity

Question 55

To be dimensionally consistent,velocity [L/T],force [ML/T²],mass [M],and length [L] must be related as follows.

A) velocity² = force length/mass
B) velocity² = force length/mass²
C) velocity = force length²/mass
D) velocity = force length/mass

Question 56

To be dimensionally consistent,velocity [L/T],acceleration [L/T²] and time [T] must be related as follows.

A) velocity = acceleration $\times$ time
B) velocity = acceleration $\times$ time²
C) velocity = acceleration² $\times$ time²
D) velocity = acceleration² $\times$ time

Question 57

Estimate the number of dollar bills (15.5 cm)put end to end it would take to circle the earth (radius = 6.40 $\times$ 10³ km).

A) 9.5 $\times$ 10⁺⁸
B) 2.6 $\times$ 10⁺⁸
C) 3.7 $\times$ 10⁺⁷
D) 1.2 $\times$ 10⁺⁷
E) 8.5 $\times$ 10⁺⁶

Question 58

Estimate how many textbooks of 1000 pages stacked on top of each other would make a stack of books 10 feet high.

A) 60
B) 50
C) 40
D) 30
E) 20

Question 59

Assume everyone in the United States consumes one soft drink in an aluminum can every two days.If there are 270 million Americans,estimate how many tons of Aluminum needs to be recycled each year if each can weighs 1/16 pound and one ton = 2000 pounds.

A) 750,000 tons
B) 1.5 million tons
C) 1.75 million tons
D) 3 million tons
E) 1,600,000 tons

Question 60

To be dimensionally consistent,distance [L],acceleration [L/T²],and time [T] must be related as follows.

A) distance = acceleration² $\times$ time²
B) distance = acceleration $\times$ time
C) distance = acceleration $\times$ time²
D) distance = acceleration² $\times$ time

Question 61

What is the approximate volume of the average adult human body?

A) 0.05 m³
B) 0.1 m³
C) 0.5 m³
D) 1 m³

Question 62

Estimate the surface area of an adult human's head.

A) 0.05 m²
B) 0.1 m²
C) 0.01 m²

Question 63

Consider the ratio of the surface area of a sphere to its volume.What happens to this ratio if the diameter of the sphere increases by a factor of 3?

A) Decreases by a factor of 9
B) Increases by a factor of 3
C) Decreases by a factor of 3
D) Increases by a factor of 9
E) Stays the same

Question 64

A graph of x vs t² is linear,and intercepts the vertical axis at 12m and the horizontal axis at 2s.What is the function?

A)x = 12m - (6m/s²)t²
B)x = 12m + (6m/s²)t²
C)x = 12m + (3m/s²)t²
D)x = 12m - (3m/s²)t²

Question 65

Find the equation v² = ah + b that fits the following data.

A) v² = 2h - 6
B) v² = h - 4
C) v² = 2h + 4
D) v² = 2h - 4

Question 66

A major league pitcher is recorded as having thrown a 105 mph fastball.What is the speed of the pitch in m/s? One mile is equivalent to 1609m.

A) 15 m/s
B) 235 m/s
C) 47 m/s
D) 34 m/s

Question 67

What is the approximate volume of an adult human's head.

A) 0.1 m³
B) 0.001 m³
C) 0.005 m³
D) 0.01 m³
E) 0.05 m³

Question 68

Considering only the horizontal portion of the seats,what is the average surface area of all the seats in a football stadium that seats 100,000 spectators?

A) 2 $\times$ 10³ m²
B) 5 $\times$ 10³ m²
C) 1 $\times$ 10³ m²
D) 1 $\times$ 10⁴ m²
E) 2 $\times$ 10⁴ m²

Question 69

A liter is equivalent to 33.8 fluid ounces.How many liters of gasoline are required to fill a 21 gallon gas tank,if 1 gallon is equivalent to 128 fluid ounces?

A) 210 liters
B) 710 liters
C) 80 liters
D) 6 liters

Question 70

Consider the ratio of the surface area of a cylinder to its volume.Assume the height is equal to its diameter.What happens to this ratio if the diameter of the cylinder decreases by a factor of 2?

A) Remains the same
B) Decreases by a factor of 2
C) Increases by a factor of 2
D) Decreases by a factor of 4
E) Increases by a factor of 4