Exam

Name___________________________________

MULTIPLE CHOICE.  Choose the one alternative that best completes the statement or answers the question. 

1) 

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

1) 

_______ 

A) 

the length of a particular object kept in France. 

B) 

the distance between the earth's equator and north pole. 

C) 

the distance traveled by light in a vacuum. 

D) 

the distance between the earth and the sun. 

2) 

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

2) 

_______ 

A) 

the earth's rotation rate. 

B) 

the oscillation of a particular pendulum kept in France. 

C) 

the frequency of radiation emitted by cesium atoms. 

D) 

the duration of one year. 

3) 

Metric system The current definition of the standard kilogram of mass is based on 

3) 

_______ 

A) 

the mass a particular object kept in France. 

B) 

the mass of the earth. 

C) 

the mass of the sun. 

D) 

the mass of a cesium-133 atom. 

4) 

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

4) 

_______ 

A) 

True 

B) 

False 

5) 

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

5) 

_______ 

A) 

less than 125. 

B) 

greater than 125. 

6) 

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

6) 

_______ 

A) 

less than 15. 

B) 

greater than 15. 

7) 

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

7) 

_______ 

A) 

less than 6.5. 

B) 

greater than 6.5. 

8) 

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

8) 

_______ 

A) 

greater than 5.75. 

B) 

less than 5.75. 

9) 

Significant figures 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. 

9) 

_______ 

A) 

True 

B) 

False 

10) 

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

10) 

______ 

A) 

True 

B) 

False 

11) 

Scientific notation Convert  1.2 × 10-3 to decimal notation. 

11) 

______ 

A) 

1.200 

B) 

0.1200 

C) 

0.0120 

D) 

0.0012 

E) 

0.00012 

12) 

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

12) 

______ 

A) 

0.00000735 

B) 

0.0000735 

C) 

0.000735 

D) 

0.00735 

E) 

0.0735 

13) 

Scientific notation 0.0001776 can also be expressed as 

13) 

______ 

A) 

1.776 × 10-3. 

B) 

1.776 × 10-4. 

C) 

17.72 × 104. 

D) 

1772 × . 

E) 

177.2 × 107. 

14) 

Scientific notation 0.00325 × 10-8 cm can also be expressed in mm as 

14) 

______ 

A) 

3.25 × 10-9 mm. 

B) 

3.25 × 10-11 mm. 

C) 

3.25 × 10-8 mm. 

D) 

3.25 × 10-10 mm. 

E) 

3.25 × 10-12 mm. 

15) 

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

15) 

______ 

A) 

3.142 

B) 

3.1414 

C) 

3.141 

D) 

3.1415 

16) 

Significant figures The number 0.003010 has 

16) 

______ 

A) 

6 significant figures. 

B) 

7 significant figures. 

C) 

2 significant figures. 

D) 

4 significant figures. 

17) 

Significant figures What is  to the proper number of significant figures? 

17) 

______ 

A) 

0.91 

B) 

0.9 

C) 

0.9108 

D) 

0.911 

18) 

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

18) 

______ 

A) 

206.324 

B) 

206 

C) 

200 

D) 

206.323 

E) 

206.3 

19) 

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

19) 

______ 

A) 

1133 

B) 

1.13 × 103 

C) 

1133.3 

D) 

1.1 × 103 

E) 

1133.3000 

20) 

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

20) 

______ 

A) 

8 

B) 

7.6 

C) 

7.62 

D) 

7.616 

E) 

7.6160 

21) 

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

21) 

______ 

A) 

1 

B) 

1.3 

C) 

1.26 

D) 

1.260 

E) 

1.2600 

22) 

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

22) 

______ 

A) 

22 

B) 

21.9 

C) 

21.92 

D) 

21.918 

E) 

21.9180 

23) 

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

23) 

______ 

A) 

4.1656 × 

B) 

4.166 × 

C) 

4 × 

D) 

4.17 × 

E) 

4.2 × 

24) 

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

24) 

______ 

A) 

37.74 

B) 

38 

C) 

37.7 

D) 

4 × 101 

E) 

37.7395 

25) 

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

25) 

______ 

A) 

63 

B) 

62.81 

C) 

62.8123846 

D) 

62.8 

E) 

62.812 

26) 

Significant figures Add  and  and express your answer in milligrams (mg). 

26) 

______ 

A) 

7.05 × 105 mg 

B) 

7.05 × 104 mg 

C) 

7.05 × 106 mg 

D) 

7.05 × 107 mg 

27) 

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

27) 

______ 

A) 

2.1 × 103 

B) 

4.8 × 10-4 

C) 

2.1 × 104 

D) 

2.1 × 10-5 

28) 

Significant figures What is  0.2052/3, expressed to the proper number of significant figures? 

28) 

______ 

A) 

0.3 

B) 

0.3477 

C) 

0.35 

D) 

0.348 

29) 

Significant figures 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 

29) 

______ 

A) 

0.7 m2. 

B) 

0.682 m2. 

C) 

0.6818 m2. 

D) 

0.68175 m2. 

E) 

0.68 m2. 

30) 

Conversion of units 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 

30) 

______ 

A) 

0.0465 m2. 

B) 

4.65 m2. 

C) 

0.118 m2. 

D) 

0.284 m2. 

E) 

0.00284 m2. 

31) 

Conversion of units In addition to 1 m = 39.37 in., the following exact conversion equivalents are given   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 

31) 

______ 

A) 

3.8 m/s. 

B) 

4.5 m/s. 

C) 

3.4 m/s. 

D) 

3.0 m/s. 

E) 

4.1 m/s. 

32) 

Conversion of units A weight lifter can bench press  How many milligrams (mg) is this? 

32) 

______ 

A) 

1.71 × 108 mg 

B) 

1.71 × 109 mg 

C) 

1.71 × 107 mg 

D) 

1.71 × 106 mg 

33) 

Conversion of units How many nanoseconds does it take for a computer to perform one calculation if it performs  calculations per second? 

33) 

______ 

A) 

67 ns 

B) 

11 ns 

C) 

15 ns 

D) 

65 ns 

34) 

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

34) 

______ 

A) 

400 × 10-11 cm 

B) 

4 × 10-5 cm 

C) 

4 × 10-7 cm 

D) 

4 × 10-11 cm 

E) 

4 × 10-9 cm 

35) 

Conversion of units The wavelength of a certain laser is  where   Express this wavelength in nanometers. 

35) 

______ 

A) 

3.5 × 103 nm 

B) 

3.5 × 102 nm 

C) 

3.5 × 101 nm 

D) 

3.5 × 104 nm 

36) 

Conversion of units 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? 

36) 

______ 

A) 

2.0 × 109 words 

B) 

6.7 × 107 words 

C) 

5.4 × 109 words 

D) 

2.1 × 107 words 

37) 

Conversion of units A plot of land contains  How many square meters does it contain? 

37) 

______ 

A) 

7.0 × 104 m2 

B) 

7.1 × 103 m2 

C) 

5.0 × 104 m2 

D) 

2.3 × 104 m2 

38) 

Conversion of units A person on a diet loses  in a week. How many  are lost? 

38) 

______ 

A) 

1.6 × 105 μg/s 

B) 

44 μg/s 

C) 

2.6 × 103 μg/s 

D) 

6.4 × 104 μg/s 

SHORT ANSWER.  Write the word or phrase that best completes each statement or answers the question. 

39) 

Conversion of units 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   How many square alberts is equal to one acre? (1 acre = 43,560 ft2 = 4050 m2) 

39)  

____________ 

MULTIPLE CHOICE.  Choose the one alternative that best completes the statement or answers the question. 

40) 

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

40) 

______ 

A) 

246 ft/min 

B) 

0.246 ft/min 

C) 

886 ft/min 

D) 

82.3 ft/min 

E) 

165 ft/min 

41) 

Conversion of units 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? 

41) 

______ 

A) 

0.328 m3/sec 

B) 

32.8 m3/sec 

C) 

3.05 m3/sec 

D) 

0.283 m3/sec 

42) 

Estimation The mass of a typical adult woman is closest to 

42) 

______ 

A) 

75 kg. 

B) 

150 kg. 

C) 

20 kg. 

D) 

35 kg. 

43) 

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

43) 

______ 

A) 

500 cm. 

B) 

400 cm. 

C) 

100 cm. 

D) 

200 cm. 

44) 

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

44) 

______ 

A) 

4 × 105 

B) 

4 × 107 

C) 

4 × 108 

D) 

4 × 106 

E) 

4 × 109 

45) 

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

45) 

______ 

A) 

3 × 109 

B) 

3 × 108 

C) 

3 × 107 

D) 

3 × 1011 

E) 

3 × 1010 

46) 

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

46) 

______ 

A) 

2 × 103 

B) 

2 × 102 

C) 

2 × 106 

D) 

2 × 104 

E) 

2 × 105 

47) 

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

47) 

______ 

A) 

3 × 105 

B) 

3 × 104 

C) 

3 × 106 

D) 

3 × 107 

E) 

3 × 108 

48) 

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

48) 

______ 

A) 

5 × 102 

B) 

5 × 105 

C) 

5 × 104 

D) 

5 × 103 

E) 

5 × 106 

49) 

Estimation 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. 

49) 

______ 

A) 

4.5 × 105 strides 

B) 

4.5 × 104 strides 

C) 

4.5 × 103 strides 

D) 

4.5 × 106 strides 

50) 

Dimensional analysis The period of a pendulum is the time it takes the pendulum to swing back and forth once.  If the only dimensional quantities that the period depends on are the acceleration of gravity, g, and the length of the pendulum, ℓ, what combination of g and ℓ must the period be proportional to?  (Acceleration has SI units of m ∙ s-2.). 

50) 

______ 

A) 

g/ℓ 

B) 

gℓ2 

C) 

D) 

gℓ 

E) 

 

51) 

Dimensional analysis The speed of a wave pulse on a string depends on the tension, F, in the string and the mass per unit length, μ, of the string. Tension has SI units of kg ∙ m ∙ s-2 and the mass per unit length has SI units of kg ∙ m-1. What combination of F and μ must the speed of the wave be proportional to? 

51) 

______ 

A) 

F/ μ 

B) 

μ / F 

C) 

D) 

E) 

 

52) 

Dimensional analysis The position x, in meters, of an object is given by the equation x = A + Bt + Ct2, where t represents time in seconds.  What are the SI units of A, B, and C? 

52) 

______ 

A) 

m, s, s2 

B) 

m/s, m/s2, m/s3 

C) 

m, m, m 

D) 

m, s, s 

E) 

m, m/s, m/s2 

 

1) 

C 

2) 

C 

3) 

A 

4) 

B 

5) 

A 

6) 

B 

7) 

B 

8) 

A 

9) 

B 

10) 

B 

11) 

D 

12) 

B 

13) 

B 

14) 

D 

15) 

C 

16) 

D 

17) 

A 

18) 

E 

19) 

A 

20) 

B 

21) 

B 

22) 

B 

23) 

D 

24) 

B 

25) 

A 

26) 

D 

27) 

B 

28) 

D 

29) 

B 

30) 

C 

31) 

A 

32) 

A 

33) 

C 

34) 

B 

35) 

B 

36) 

B 

37) 

D 

38) 

C 

39) 

1.29 A2 

40) 

A 

41) 

D 

42) 

A 

43) 

D 

44) 

B 

45) 

A 

46) 

A 

47) 

B 

48) 

C 

49) 

B 

50) 

E 

51) 

A 

52) 

C