Deck 1: Foundations

Question 1

What is to the proper number of significant figures?

A) 0.91
B) 0.911
C) 0.9108
D) 0.9

Answer 1

0.91

Question 2

If a tree is 15 m tall,its height expressed in feet is x ft,where x is

A) less than 15.
B) greater than 15.

Answer 2

greater than 15.

Question 3

If an operatic aria lasts for 5.75 min,its length expressed in seconds is x s,where x is

A) less than 5.75.
B) greater than 5.75.

Answer 3

greater than 5.75.

Question 4

Convert 1.2 × 10^-3 to decimal notation.

A) 1.200
B) 0.1200
C) 0.0120
D) 0.0012
E) 0.00012

Question 5

What is the sum of 1123 and 10.3 written with the correct number of significant figures?

A) 1.13 × 10³
B) 1133.3000
C) 1.1 × 10³
D) 1133.3
E) 1133

Question 6

Scientists use the metric system chiefly because it is more accurate than the English system.

Question 7

What is the value of π(8.104)²,written with the correct number of significant figures?

A) 206.324
B) 206.323
C) 206.3
D) 206
E) 200

Question 8

When determining the number of significant figures in a number,zeroes to the left of the decimal point are never counted.

Question 9

What is the sum of 1.53 + 2.786 + 3.3 written with the correct number of significant figures?

A) 8
B) 7.6
C) 7.62
D) 7.616
E) 7.6160

Question 10

When adding two numbers,the number of significant figures in the sum is equal to the number of significant figures in the least accurate of the numbers being added.

Question 11

If a woman weighs 125 lb,her mass expressed in kilograms is x kg,where x is

A) less than 125.
B) greater than 125.

Question 12

If,in a parallel universe,π has the value 3.14149,express π in that universe to four significant figures.

A) 3.141
B) 3.142
C) 3.1415
D) 3.1414

Question 13

0)0001776 can also be expressed as

A) 1.776 × 10^-3.
B) 1.776 × 10^-4.
C) 17.72 × 10⁴.
D) 1772 × 10⁵.
E) 177.2 × 10⁷.

Question 14

If a flower is 6.5 cm wide,its width expressed in millimeters is x mm,where x is

A) less than 6.5.
B) greater than 6.5.

Question 15

0)00325 × 10^-8 cm can also be expressed in mm as

A) 3.25 × 10^-12 mm.
B) 3.25 × 10^-11 mm.
C) 3.25 × 10^-10 mm.
D) 3.25 × 10^-9 mm.
E) 3.25 × 10^-8 mm.

Question 16

Write out the number 7.35 × 10^-5 in full with a decimal point and correct number of zeros.

A) 0.00000735
B) 0.0000735
C) 0.000735
D) 0.00735
E) 0.0735

Question 17

The current definition of the standard meter of length is based on

A) the distance between the earth's equator and north pole.
B) the distance between the earth and the sun.
C) the distance traveled by light in a vacuum.
D) the length of a particular object kept in France.

Question 18

The number 0.003010 has

A) 7 significant figures.
B) 6 significant figures.
C) 4 significant figures.
D) 2 significant figures.

Question 19

The current definition of the standard second of time is based on

A) the frequency of radiation emitted by cesium atoms.
B) the earth's rotation rate.
C) the duration of one year.
D) the oscillation of a particular pendulum kept in France.

Question 20

What is the difference between 103.5 and 102.24 written with the correct number of significant figures?

A) 1
B) 1.3
C) 1.26
D) 1.260
E) 1.2600

Question 21

How many nanoseconds does it take for a computer to perform one calculation if it performs 6.7 × 10⁷ calculations per second?

A) 15 ns
B) 67 ns
C) 11 ns
D) 65 ns

Question 22

Convert a speed of 4.50 km/h to units of ft/min.(1.00 m = 3.28 ft)

A) 0.246 ft/min
B) 82.3 ft/min
C) 165 ft/min
D) 246 ft/min
E) 886 ft/min

Question 23

What is the product of 11.24 and 1.95 written with the correct number of significant figures?

A) 22
B) 21.9
C) 21.92
D) 21.918
E) 21.9180

Question 24

In addition to 1 m = 39.37 in.,the following exact conversion equivalents are given: 1 mile = 5280 ft,
1 ft = 12 in,1 hour = 60 min,and 1 min = 60 s. If a particle has a velocity of 8.4 miles per hour,its velocity,in m/s,is closest to

A) 3.8 m/s.
B) 3.0 m/s.
C) 3.4 m/s.
D) 4.1 m/s.
E) 4.5 m/s.

Question 25

What is 56 + (32.00)/(1.2465 + 3.45)written with the correct number of significant figures?

A) 62.8
B) 62.812
C) 62.81
D) 63
E) 62.8123846

Question 26

The exhaust fan on a typical kitchen stove pulls 600 CFM (cubic feet per minute)through the filter.Given that 1.00 in.= 2.54 cm,how many cubic meters per second does this fan pull?

A) 0.283 m³/sec
B) 0.328 m³/sec
C) 3.05 m³/sec
D) 32.8 m³/sec

Question 27

The following exact conversion equivalents are given: 1 m = 100 cm,1 in = 2.54 cm,and 1 ft = 12 in. If a computer screen has an area of 1.27 ft²,this area is closest to

A) 0.00284 m².
B) 0.0465 m².
C) 0.118 m².
D) 0.284 m².
E) 4.65 m².

Question 28

A certain CD-ROM disk can store approximately 6.0 × 10² megabytes of information,where
10⁶ bytes = 1 megabyte. If an average word requires 9.0 bytes of storage,how many words can be stored on one disk?

A) 6.7 × 10⁷ words
B) 5.4 × 10⁹ words
C) 2.1 × 10⁷ words
D) 2.0 × 10⁹ words

Question 29

A person on a diet loses 1.6 kg in a week.How many micrograms/second (μg/s)are lost?

A) 2.6 × 10³ μg/s
B) 1.6 × 10⁵ μg/s
C) 44 μg/s
D) 6.4 × 10⁴ μg/s

Question 30

The shortest wavelength of visible light is approximately 400 nm. Express this wavelength in centimeters.

A) 4 × 10^-5 cm
B) 4 × 10^-7 cm
C) 4 × 10^-9 cm
D) 4 × 10^-11 cm
E) 400 × 10^-11 cm

Question 31

Express (4.3 × 10⁶)^-1/2 in scientific notation.

A) 4.8 × 10^-4
B) 2.1 × 10³
C) 2.1 × 10^-5
D) 2.1 × 10⁴

Question 32

The wavelength of a certain laser is 0.35 micrometers,where 1 micrometer = 1 × 10^-6 m. Express this wavelength in nanometers.

A) 3.5 × 10² nm
B) 3.5 × 10³ nm
C) 3.5 × 10¹ nm
D) 3.5 × 10⁴ nm

Question 33

What is the result of 1.58 ÷ 3.793 written with the correct number of significant figures?

A) 4.1656 × 10^-1
B) 4.166 × 10^-1
C) 4.17 × 10^-1
D) 4.2 × 10^-1
E) 4 × 10^-1

Question 34

Add 3685 g and 66.8 kg and express your answer in milligrams (mg).

A) 7.05 × 10⁷ mg
B) 7.05 × 10⁴ mg
C) 7.05 × 10⁵ mg
D) 7.05 × 10⁶ mg

Question 35

The length and width of a rectangle are 1.125 m and 0.606 m,respectively. Multiplying,your calculator gives the product as 0.68175. Rounding properly to the correct number of significant figures,the area should be written as

A) 0.7 m².
B) 0.68 m².
C) 0.682 m².
D) 0.6818 m².
E) 0.68175 m².

Question 36

A weight lifter can bench press 171 kg.How many milligrams (mg)is this?

A) 1.71 × 10⁸ mg
B) 1.71 × 10⁹ mg
C) 1.71 × 10⁷ mg
D) 1.71 × 10⁶ mg

Question 37

What is 0.205^2/3,expressed to the proper number of significant figures?

A) 0.348
B) 0.35
C) 0.3
D) 0.3477

Question 38

A plot of land contains 5.8 acres. How many square meters does it contain? [1 acre = 43,560 ft²]

A) 2.3 × 10⁴ m²
B) 7.1 × 10³ m²
C) 7.0 × 10⁴ m²
D) 5.0 × 10⁴ m²

Question 39

What is 34 + (3)× (1.2465)written with the correct number of significant figures?

A) 37.7
B) 37.74
C) 4 × 10¹
D) 38
E) 37.7395

Question 40

Albert uses as his unit of length (for walking to visit his neighbors or plowing his fields)the albert (A),the distance Albert can throw a small rock. One albert is 92 meters. How many square alberts is equal to one acre? (1 acre = 43,560 ft² = 4050 m²)

Question 41

Approximately how many times does an average human heart beat in a lifetime?

A) 3 × 10¹¹
B) 3 × 10¹⁰
C) 3 × 10⁹
D) 3 × 10⁸
E) 3 × 10⁷

Question 42

The height of the ceiling in a typical home,apartment,or dorm room is closest to

A) 100 cm.
B) 200 cm.
C) 400 cm.
D) 500 cm.

Question 43

Approximately how many pennies would you have to stack to reach an average 8-foot ceiling?

A) 2 × 10²
B) 2 × 10³
C) 2 × 10⁴
D) 2 × 10⁵
E) 2 × 10⁶

Question 44

Estimate the number of pennies that would fit in a box one foot long by one foot wide by one foot tall.

A) 5 × 10²
B) 5 × 10³
C) 5 × 10⁴
D) 5 × 10⁵
E) 5 × 10⁶

Question 45

A marathon is 26 mi and 385 yd long.Estimate how many strides would be required to run a marathon.Assume a reasonable value for the average number of feet/stride.

A) 4.5 × 10⁴ strides
B) 4.5 × 10³ strides
C) 4.5 × 10⁵ strides
D) 4.5 × 10⁶ strides

Question 46

Approximately how many times does an average human heart beat in a year?

A) 4 × 10⁵
B) 4 × 10⁶
C) 4 × 10⁷
D) 4 × 10⁸
E) 4 × 10⁹

Question 47

The mass of a typical adult woman is closest to

A) 20 kg.
B) 35 kg.
C) 75 kg.
D) 150 kg.

Question 48

Estimate the number of times the earth will rotate on its axis during a human's lifetime.

A) 3 × 10⁴
B) 3 × 10⁵
C) 3 × 10⁶
D) 3 × 10⁷
E) 3 × 10⁸