The challenges you face provide a pathway to excellence. They are difficult and they will bring
out the best in you. To be the best, you must be willing to face the biggest challenges.
Robert Marston
Name: _______________________________________ Period: __________ Date: __________
Unit One: Measurement
Topic: Significant Figures
Instructions:
 Look closely at your “Significant Figures” growth results, and note your
current areas of weakness.
 Select a combination of questions below to earn at least 15 points.
o Be sure to focus your choices on your areas of weakness so that you
may improve.
o You may answer as many questions as you like.
o A maximum of 15 points will be credited in Synergy.
LEVEL ONE: FOUNDATIONAL KNOWLEDGE
[1 point per question ]
1. Indicate the number of significant figures in the following:
a. This book contains more than 1000 pages.
b. A mile is about 5300 ft.
c. A liter is equivalent to 1.059 qt.
d. The population of the US is approaching 3.0x102 million.
e. A kilogram is 1000 g.
f. The Boeing 747 cruises at around 600 mi/h.
2. How many significant figures are there in each of the following?
a. 6.07x10-15
e. 463.8052
b. 0.003840
f. 300
c. 17.00
g. 301
d. 8x108
h. 300.
3. Round off each of the following numbers to the indicated number
of significant digits and write the answer in standard scientific
notation.
The challenges you face provide a pathway to excellence. They are difficult and they will bring
out the best in you. To be the best, you must be willing to face the biggest challenges.
Robert Marston
Name: _______________________________________ Period: __________ Date: __________
a. 0.00034159 to three digits
b. 103.351 to four digits
c. 17.9915 to five digits
d. 3.365x105 to three digits
4. Express the number 480 in
a. one significant figure
c. three significant figures
b. two significant figures
d. four significant figures
LEVEL TWO: SIMPLE APPLICATIONS [2 points per question]
5. Calculate and record your answer to the correct number of
significant figures:
a. 212.2 + 26.7 + 402.09 =
b. 1.0028 + 0.221 + 0.10337 =
6. Calculate and record your answer to the correct number of
significant figures:
a. 52.331 + 26.01 – 0.9981 =
b. 2.01x102 + 3.014x103 =
c. 7.255 – 6.8350 =
7. Calculate and record your answer to the correct number of
significant figures:
a. 0,102 x 0.0821 x 273 =
1.01
b. 0.14 x 6.022x1023 =
The challenges you face provide a pathway to excellence. They are difficult and they will bring
out the best in you. To be the best, you must be willing to face the biggest challenges.
Robert Marston
Name: _______________________________________ Period: __________ Date: __________
8. Calculate and record your answer to the correct number of
significant figures:
a. 4.0x104 x 5.021x10-3 x 7.34993x102
b. 2.00x106 =
3.00x10-7
LEVEL THREE: INTERMEDIATE APPLICATIONS [3 points per
question]
9. A graduated cylinder is marked to the nearest mL. Which of the
following measurements could have been made with the cylinder and
recorded with correct significant figures? How do you know?
a. 3 mL
b. 3.4 mL
c. 3.40 mL
10. If a correctly reported measurement is 56.40 cm, what is the
smallest marking on the ruler used?
11. Calculate and record your answer to the correct number of
significant figures:
a. (6.404 x 2.91)/(18.7 – 17.1) =
b. (3.8x10-12 + 4.0x10-13)/(4 x1012 + 6.3x1013) =
12. Calculate and record your answer to the correct number of
significant figures:
a. 6.626x10-34 x 2.998x108 =
2.54x10-9
b. (1.00866 – 1.00728)/6.02205x1023 =
LEVEL FOUR: CREATE!
[9 points]
Write a poem, a song, a cartoon, or a child’s book teaching significant
figures to an audience who’s never heard of the concept.
The challenges you face provide a pathway to excellence. They are difficult and they will bring
out the best in you. To be the best, you must be willing to face the biggest challenges.
Robert Marston
Name: _______________________________________ Period: __________ Date: __________
Unit One: Measurement
Topic: Significant Figures
Instructions:
 Look closely at your “Significant Figures” growth results, and note your
current areas of weakness.
 Select a combination of questions below to earn at least 15 points.
o Be sure to focus your choices on your areas of weakness so that you
may improve.
o You may answer as many questions as you like.
o A maximum of 15 points will be credited in Synergy.
LEVEL ONE: FOUNDATIONAL KNOWLEDGE
[1 point per question ]
1. Indicate the number of significant figures in the following:
a. This book contains more than 1000 pages.
1 sig fig
b. A mile is about 5300 ft. 2 sig figs
c. A liter is equivalent to 1.059 qt. 4 sig figs
d. The population of the US is approaching 3.0x102 million. 2 sf
e. A kilogram is 1000 g. 1 sig fig
f. The Boeing 747 cruises at around 600 mi/h. 1 sig fig
2. How many significant figures are there in each of the following?
a. 6.07x10-15 3 sf
e. 463.8052 7 sf
b. 0.003840 4 sf
f. 300 1 sf
c. 17.00 4 sf
g. 301 3 sf
d. 8x108 1 sf
h. 300.3 sf
3. Round off each of the following numbers to the indicated number
of significant digits and write the answer in standard scientific
notation.
The challenges you face provide a pathway to excellence. They are difficult and they will bring
out the best in you. To be the best, you must be willing to face the biggest challenges.
Robert Marston
Name: _______________________________________ Period: __________ Date: __________
a. 0.00034159 to three digits 3.42x10-4
b. 103.351 to four digits 103.4 = 1.034x102
c. 17.9915 to five digits 17.992 = 1.7992x101
d. 3.365x105 to three digits 3.37x105
4. Express the number 480 in
a. 1 significant figure
b. 2 significant figures
500
480
c. 3 significant figures 480.
d. 4 significant figures 480.0
LEVEL TWO: SIMPLE APPLICATIONS [2 points per question]
5. Calculate and record your answer to the correct number of
significant figures:
a. 212.2 + 26.7 + 402.09 = 641.0
b. 1.0028 + 0.221 + 0.10337 = 1.327
6. Calculate and record your answer to the correct number of
significant figures:
a. 52.331 + 26.01 – 0.9981 = 77.34
b. 2.01x102 + 3.014x103 = 3.22x103
c. 7.255 – 6.8350 = 0.420
7. Calculate and record your answer to the correct number of
significant figures:
a. 0,102 x 0.0821 x 273 = 2.26
1.01
b. 0.14 x 6.022x1023 = 8.4x1022
The challenges you face provide a pathway to excellence. They are difficult and they will bring
out the best in you. To be the best, you must be willing to face the biggest challenges.
Robert Marston
Name: _______________________________________ Period: __________ Date: __________
8. Calculate and record your answer to the correct number of
significant figures:
a. 4.0x104 x 5.021x10-3 x 7.34993x102 150,000
b. 2.00x106 = 6.67x1012
3.00x10-7
LEVEL THREE: INTERMEDIATE APPLICATIONS [3 points per
question]
9. A graduated cylinder is marked to the nearest mL. Which of the
following measurements could have been made with the cylinder and
recorded with correct significant figures? How do you know?
a. 3 mL
b. 3.4 mL
c. 3.40 mL
10. If a correctly reported measurement is 56.40 cm, what is the
smallest marking on the ruler used? 0.1 cm or 1 mm
11. Calculate and record your answer to the correct number of
significant figures:
a. (6.404 x 2.91)/(18.7 – 17.1) = 12
b. (3.8x10-12 + 4.0x10-13)/(4 x1012 + 6.3x1013) = 6.x10-26
12. Calculate and record your answer to the correct number of
significant figures:
a. 6.626x10-34 x 2.998x108 = 7.82x10-17
2.54x10-9
b. (1.00866 – 1.00728)/6.02205x1023 = 2.29x10-27
LEVEL FOUR: CREATE!
[9 points]
Write a poem, a song, a cartoon, or a child’s book teaching significant
figures to an audience who’s never heard of the concept.