Question 1

The Hope Diamond weighs 44.5 carats, and there are 200 mg per carat. What is the mass of the Hope Diamond in kilograms?

Accepted Answer

A)  0.000890 kg 
B)  0.00890 kg 
C)  0.0890 kg 
D)  0.890 kg 
E)  8.90 kg 
A)  0.000890 kg 
B)  0.00890 kg 
C)  0.0890 kg 
D)  0.890 kg 
E)  8.90 kg

Question 2

A jogger has a mass of 50 kg. Express her mass in grams and micrograms (µg).

Accepted Answer

A)  50,000 g; 5 ×106 µg 
B)  500,000 g; 500 × 106 µg 
C)  500,000 g; 5000 µg 
D)  50,000 g; 5 × 1010 µg 
E)  50,000 g; 50,000 µg 
A)  50,000 g; 5 ×106 µg 
B)  500,000 g; 500 × 106 µg 
C)  500,000 g; 5000 µg 
D)  50,000 g; 5 × 1010 µg 
E)  50,000 g; 50,000 µg

Question 3

A jar of peanut butter costs $3.29. Express its price in dekadollars and decidollars.

Accepted Answer

A)  0.329 dekadollars; 0.329 decidollars 
B)  32.9 dekadollars; 0.329 decidollars 
C)  329 dekadollars; 32.9 decidollars 
D)  0.329 dekadollars; 32.9 decidollars 
E)  32.9 dekadollars; 329 decidollars 
A)  0.329 dekadollars; 0.329 decidollars 
B)  32.9 dekadollars; 0.329 decidollars 
C)  329 dekadollars; 32.9 decidollars 
D)  0.329 dekadollars; 32.9 decidollars 
E)  32.9 dekadollars; 329 decidollars

Question 4

An oak tree was planted $22 \text { years }$ ago. How many seconds does this correspond to? (Do not take leap days into account.)

Accepted Answer

A)  6.9 × 108 
B)  1.2 × 107 
C)  2.9 × 107 
D)  2.8 × 108 
A)  6.9 × 108 
B)  1.2 × 107 
C)  2.9 × 107 
D)  2.8 × 108

Question 5

Express (2.2 × 106)-1/2 in scientific notation.

Accepted Answer

A)  6.7 × 10-4 
B)  1.5 × 103 
C)  1.5 × 10-5 
D)  1.5 × 104 
A)  6.7 × 10-4 
B)  1.5 × 103 
C)  1.5 × 10-5 
D)  1.5 × 104

Question 6

Estimate the number of times an average person's heart beats in a lifetime. Assume the average heart rate is $69 \text { beats/min }$ and a life span of 75 years.

Accepted Answer

A)  3 × 109 beats 
B)  3 × 108 beats 
C)  3 × 1010 beats 
D)  3 × 107 beats 
A)  3 × 109 beats 
B)  3 × 108 beats 
C)  3 × 1010 beats 
D)  3 × 107 beats

Question 7

The average density of blood is 1.06 × 103 kg/m3. If you donate a pint of blood to the Red Cross, how many grams of blood have you donated? (2.00 pt = 1.00 qt, 1.00 L = 1000 cm3, 1.00 qt = 0.947 L, and density is mass per unit volume.)

Accepted Answer

A)  502 g 
B)  0.502 g 
C)  5020 g 
D)  5.02 × 105 g 
E)  5.02 g 
A)  502 g 
B)  0.502 g 
C)  5020 g 
D)  5.02 × 105 g 
E)  5.02 g

Question 8

Your car gets 34.7 mi/gal on a vacation trip in the U.S. If you were figuring your mileage in Europe, how many km/L did it get? (3.79 L = 1.00 gal; 1.00 mi = 1.61 km)

Accepted Answer

A)  14.7 km/L 
B)  9.16 km/L 
C)  55.9 km/L 
D)  32.4 km/L 
A)  14.7 km/L 
B)  9.16 km/L 
C)  55.9 km/L 
D)  32.4 km/L

Question 9

In the quotient $\frac { A } { B \cdot C }$ , A has 5 significant figures, B has 2 significant figures, and C has 3 significant figures. How many significant figures does the quotient have?

Accepted Answer

A)  2 
B)  3 
C)  4 
D)  0 
E)  1 
A)  2 
B)  3 
C)  4 
D)  0 
E)  1

Question 10

A speed of 65 miles per hour is the same as which of the following? (1.00 ft = 30.48 cm)

Accepted Answer

A)  24 m/s 
B)  29 m/s 
C)  32 m/s 
D)  37 m/s 
E)  42 m/s 
A)  24 m/s 
B)  29 m/s 
C)  32 m/s 
D)  37 m/s 
E)  42 m/s

Question 11

A rectangular garden measures 15 m long and 13.70 m wide. What is the length of a diagonal from one corner of the garden to the other?

Accepted Answer

A)  18 m 
B)  19 m 
C)  20 m 
D)  4.1 × 102 m 
A)  18 m 
B)  19 m 
C)  20 m 
D)  4.1 × 102 m

Question 12

The metric system is preferred over the British system in science for the following main reason.

Accepted Answer

A)  The metric system is more precise than the British system. 
B)  Metric quantities can be defined more accurately than the quantities in the British system. 
C)  Metric quantities are natural whereas British quantities are invented. 
D)  Conversions between metric quantities are especially easy because they are all related by factors of ten. 
A)  The metric system is more precise than the British system. 
B)  Metric quantities can be defined more accurately than the quantities in the British system. 
C)  Metric quantities are natural whereas British quantities are invented. 
D)  Conversions between metric quantities are especially easy because they are all related by factors of ten.

Question 13

The last page of a book is numbered 764. The book is 3.0 cm thick, not including its covers. What is the average thickness (in centimeters) of a page in the book, rounded to the proper number of significant figures?

Accepted Answer

A)  0.0039 cm 
B)  0.072 cm 
C)  0.0079 cm 
D)  0.00393 cm 
E)  0.00785 cm 
A)  0.0039 cm 
B)  0.072 cm 
C)  0.0079 cm 
D)  0.00393 cm 
E)  0.00785 cm

Question 14

Express 50 mi/h in units of meters per second. (1 mi = 1609 m)

Accepted Answer

A)  49 m/s 
B)  2.2 m/s 
C)  22 m/s 
D)  45 m/s 
A)  49 m/s 
B)  2.2 m/s 
C)  22 m/s 
D)  45 m/s

Question 15

Add the following lengths, each obtained from a different measuring instrument, and round the answer to the proper number of significant figures: 20.02 m, 5.91 m, 0.0097 m, and 2.467 m.

Accepted Answer

The answer of Add the following lengths, each obtained from...

Question 16

A reasonable estimate for the height of an ordinary adult male is

Accepted Answer

A)  50 cm. 
B)  70 cm. 
C)  200 cm. 
D)  300 cm. 
A)  50 cm. 
B)  70 cm. 
C)  200 cm. 
D)  300 cm.

Question 17

A thick-walled metal pipe of length 20.0 cm has an inside diameter of 2.00 cm and an outside diameter of 2.40 cm. What is the total surface area of the pipe, counting the ends, in square centimeters?

Accepted Answer

A)  276 cm2 
B)  277 cm2 
C)  278 cm2 
D)  279 cm2 
A)  276 cm2 
B)  277 cm2 
C)  278 cm2 
D)  279 cm2

Question 18

The following conversion equivalents are given: 
1.0 kg = 1000 g $\quad$1.0 l = 1000 $\mathrm { cm } ^ { 3 }$ 1.0 l = 0.0353 $\mathrm { ft } ^ { 3 }$ The density of a certain liquid is 0.83 g/ $\mathrm { cm } ^ { 3 }$ . The density of this liquid, expressed in kg/ft3, is closest to

Accepted Answer

A)  24 kg/ft3. 
B)  19 kg/ft3. 
C)  21 kg/ft3. 
D)  26 kg/ft3. 
E)  28 kg/ft3. 
A)  24 kg/ft3. 
B)  19 kg/ft3. 
C)  21 kg/ft3. 
D)  26 kg/ft3. 
E)  28 kg/ft3.

Question 19

What is the difference between 103.5 and 102.24 expressed to the correct number of significant figures?

Accepted Answer

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

Question 20

Express the sum 1.00 kg + 1531 g + 2.54 × 104 mg in kilograms with the correct number of significant figures.

Accepted Answer

A)  2.56 kg 
B)  27.9 kg 
C)  2.53 kg 
D)  2.79 kg 
A)  2.56 kg 
B)  27.9 kg 
C)  2.53 kg 
D)  2.79 kg

Exam 1: Representing Motion

The Hope Diamond weighs 44.5 carats, and there are 200 mg per carat. What is the mass of the Hope Diamond in kilograms?

A jogger has a mass of 50 kg. Express her mass in grams and micrograms (µg).

A jar of peanut butter costs $3.29. Express its price in dekadollars and decidollars.

An oak tree was planted 22 years 22 \text { years }22 years ago. How many seconds does this correspond to? (Do not take leap days into account.)

Express (2.2 × 106)-1/2 in scientific notation.

Estimate the number of times an average person's heart beats in a lifetime. Assume the average heart rate is 69 beats/min 69 \text { beats/min }69 beats/min and a life span of 75 years.

The average density of blood is 1.06 × 103 kg/m3. If you donate a pint of blood to the Red Cross, how many grams of blood have you donated? (2.00 pt = 1.00 qt, 1.00 L = 1000 cm3, 1.00 qt = 0.947 L, and density is mass per unit volume.)

Your car gets 34.7 mi/gal on a vacation trip in the U.S. If you were figuring your mileage in Europe, how many km/L did it get? (3.79 L = 1.00 gal; 1.00 mi = 1.61 km)

In the quotient AB⋅C\frac { A } { B \cdot C }B⋅CA​ , A has 5 significant figures, B has 2 significant figures, and C has 3 significant figures. How many significant figures does the quotient have?

A speed of 65 miles per hour is the same as which of the following? (1.00 ft = 30.48 cm)

A rectangular garden measures 15 m long and 13.70 m wide. What is the length of a diagonal from one corner of the garden to the other?

The metric system is preferred over the British system in science for the following main reason.

The last page of a book is numbered 764. The book is 3.0 cm thick, not including its covers. What is the average thickness (in centimeters) of a page in the book, rounded to the proper number of significant figures?

Express 50 mi/h in units of meters per second. (1 mi = 1609 m)

Add the following lengths, each obtained from a different measuring instrument, and round the answer to the proper number of significant figures: 20.02 m, 5.91 m, 0.0097 m, and 2.467 m.

A reasonable estimate for the height of an ordinary adult male is

A thick-walled metal pipe of length 20.0 cm has an inside diameter of 2.00 cm and an outside diameter of 2.40 cm. What is the total surface area of the pipe, counting the ends, in square centimeters?

The following conversion equivalents are given: 1.0 kg = 1000 g \quad 1.0 l = 1000 cm3\mathrm { cm } ^ { 3 }cm3 1.0 l = 0.0353 ft3\mathrm { ft } ^ { 3 }ft3 The density of a certain liquid is 0.83 g/ cm3\mathrm { cm } ^ { 3 }cm3 . The density of this liquid, expressed in kg/ft3, is closest to

What is the difference between 103.5 and 102.24 expressed to the correct number of significant figures?

Express the sum 1.00 kg + 1531 g + 2.54 × 104 mg in kilograms with the correct number of significant figures.

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An oak tree was planted $22 \text { years }$ ago. How many seconds does this correspond to? (Do not take leap days into account.)

Express (2.2 × 10⁶)^-1/2 in scientific notation.

Estimate the number of times an average person's heart beats in a lifetime. Assume the average heart rate is $69 \text { beats/min }$ and a life span of 75 years.

The average density of blood is 1.06 × 10³ kg/m³. If you donate a pint of blood to the Red Cross, how many grams of blood have you donated? (2.00 pt = 1.00 qt, 1.00 L = 1000 cm³, 1.00 qt = 0.947 L, and density is mass per unit volume.)

In the quotient $\frac { A } { B \cdot C }$ , A has 5 significant figures, B has 2 significant figures, and C has 3 significant figures. How many significant figures does the quotient have?

The following conversion equivalents are given: 1.0 kg = 1000 g $\quad$ 1.0 l = 1000 $\mathrm { cm } ^ { 3 }$ 1.0 l = 0.0353 $\mathrm { ft } ^ { 3 }$ The density of a certain liquid is 0.83 g/ $\mathrm { cm } ^ { 3 }$ . The density of this liquid, expressed in kg/ft³, is closest to

Express the sum 1.00 kg + 1531 g + 2.54 × 10⁴ mg in kilograms with the correct number of significant figures.