1A1 – Unit Conversions

  1. Alex Rodriguez makes signed a 10 year 252 million dollar contract to play baseball. How much will he make every second of his life for these ten years?
  2. Michael Schumacher drives one of the two Ferrari Formula One team's open wheel Grand Prix racecars. He is paid a retainer estimated at $40 million to drive these unparalleled racers in 16 races world wide, from Malaysia to Monaco. If it takes roughly 3 hr to complete a race, how much does Michael Schumacher make every second he is driving in a race?
  3. Suppose that a pancake receipt designed to feed four people calls for 600mL of flour. How many Liters of flour would you use if you wanted to extend the recipe to feed six people?
  4. Suppose that a cupcake recipe designed to produce twelve cupcakes calls for 1000mL of flour. How many centiliters of flour would you use if you wanted to make only nine cupcakes.
  5. A book is 277mm in length. What is this length in centimeters? In meters?
  6. A crate has a mass of 5.65 kg. What is this mass in grams? In milligrams?
  7. A large tank holds 5.24kL of water. How many liters is this tank? How many milliliters?
  8. A mile is 5280ft long. One foot is approximately 0.305m. How many meters are there in a mile? How many kilometers are there in a mile?
  9. If a mile is 5280ft long and a yard contains 3ft, how many yards are there in a mile?
  10. Area is found by multiplying the length of a surface times the width. If a floor measures 6.25m2, how many square centimeters does this represent?
  11. How many square centimeters are there in 1m2?
  12. Convert 4008g into mg
  13. Convert 48mL into L
  14. Convert 239mm into cm
  15. Convert 38kg into mg
  16. Convert 34 g into kg
  17. Convert 782 cm into m
  18. Convert .034 m into km
  19. Convert .00003 cm into m
  20. Convert 43 km into m
  21. Convert .0034 m into cm
  22. Convert 5493 cm into km
  23. Convert 14 hr into sec
  24. Convert 22 km/hr into m/s
  25. Convert 12 cm/s into m/s

1B1 - Metric Prefixes

  1. One light-year is the distance light travels in one year. This distance is equal to 9.461X1015m. After the sun, the star nearest to Earth is Alpha Centauri, which is about 4.35 light years from Earth. Express this distance in mega meters and picometers.
  2. It is estimated that the sun will exhaust all of its energy in about ten billion years. By that time, it will have radiated about 1.2X1044J (joules) of energy. Express this amount of energy in kilojoules and nanojoules.
  3. The smallest living organism discovered so far is called a mycoplasm. Its mass is estimated as 1.0X10-16g. Express this mass in petagrams, femtograms, and attograms.
  4. The “extreme” prefixes that are officially recognized are yocto, which indicates a fraction equal to 10-24, and yotta, which indicates a factor equal to 1024. The maximum distance from Earth to the sun is 152,100,000km. Using scientific notation, express this distance in yoctometers (ym) and yottameters (Ym).
  5. In 1993, the total production of nuclear energy in the world was 2.1X1015watt-hours, where a watt is equal to one joule (J) per second. Express this number in joules and gigajoules.
  6. In Einstein’s special theory of relativity, mass and energy are equivalent. An expression of this equivalence can be made in terms of electron volts (unit of energy) and kilograms, with one electron volt (eV) being equal to 1.78X10-36kg. Using this ratio, express the mass of the heaviest mammal on earth, the blue whale, which has an average mass of 1.90X105kg, in mega electron volts and tera electron volts.
  7. The most massive star yet discovered in our galaxy is one of the stars in the Carina Nebula, Which can be seen from the Earth’s Southern Hemisphere and from the tropical latitudes of the Northern Hemisphere. The star, designated as Eta Carinae, is believed to be 200 times as massive as the sun, which has a mass nearly 2X1030kg. Find the mass of Eta Carinae in milligrams and exagrams.
  8. The Pacific Ocean has a surface area of about 166,241,700km2 and an average depth of 3940m. Estimate the volume of the Pacific Ocean in cubic centimeters and cubic millimeters.
  9. One of the more unusual of world wonders is the Plain of Jars in Laos. Several hundred huge stone jars, which do not seem to be made from local rock, are scattered across the plain. The largest of these jars has a mass of around 6.0X103kg. Express this mass in milligrams and mega grams.
  10. The French drink about 6.4X104cm3 of mineral water per person per year. Express this volume in cubic meters and cubic millimeters.
  11. The explosive energy of powerful explosives is measured in terms of “tons.” The ton referred to a ton of TNT (trinitrotoluene), one of the most powerful of chemical explosives. A ton of TNT will release 4.2X109J (joules). Express this energy in mega joules and gigajoules.
  12. A parsec, a distance measurement used by astronaut, is equal to 3.262 light years, where a light year is the distance light travels in one year. In SI units, a parsec equals 3.086X1016m. Express this distance in kilometers and exameters
  13. An acre is a common unit used to measure area of a portion of land. An acre is equal to about 4.0469X103m2. Express this area in square kilometers and square centimeters.
  14. Electric charge is measured in terms of the coulomb (1C), although this is a very large and not extremely practical unit of measurement. For example, the charge in a bolt of lightning is about 15C. Express the charge in a lightning bolt in millicoulmbs and kilo coulombs.
  15. The wettest spot on Earth is generally considered to be Mt. Waialeale, on the island of Kauai, Hawaii. In one year, this long-extinct volcano receives 1.168X103cm of rainfall. Express this quantity in meters and micrometers.
  16. The United States Department of Defense is housed in the Pentagon, one of the largest office buildings in the world. The entire floor area of the Pentagon equals 0.344279 km2. Express this area in square meters and square millimeters
  17. The Earth is approximately 4.50 billion years old. Setting 1 year equal to 365.25 days, express the age of the Earth in gigaseconds and petaseconds.
  18. One of the isotopes with the shortest half-life (the time it takes for half of a sample of the element to decay) is beryllium-8. Its half-life is measured as 6.7X10-17s. Express this time in microseconds and attoseconds.

1C1 – Mathematical Operations with Scientific Notation

  1. 374.5 J + 754.743 J
  2. 12.45 Pa / 2.597 Pa
  3. 8.283X106N X 3.45X1023N
  4. 4.3X106J – 4.70X103J
  5. 7.21X104kg – 7.20X104kg
  6. 9.0X1016N X 5.67X1018N
  7. 2.34X10-31m + 6.76X10-30m
  8. 7.39X1060J / 4.658X1064J
  9. 4.5X10-91m/s + 2.87X10-90m/s
  10. 4.92X1068kg / 9.64X1067kg
  11. 3.4189X10-3Nm – 7.5783X10-4Nm
  12. 8.10X105J X 5.6X104J
  13. 3.456X10-3w + 9.0001X10-4w
  14. 5.43X10-6kg / 5.48X10-4kg
  15. 1.74X107m/s2 / 1.92X107m/s2
  16. 6.01X103N X 1.1X103N
  17. 9.453X1099m + 7.4587X1093m
  18. 3.46X106J - 3.45X106J
  19. 1.90X1046mm – 5.6X1045mm
  20. 8.32X105g + 9.123X105g
  21. 9.64X107N X 3.74X1034N

1D1 – Trigonometry

  1. Complete the following triangle.
  1. Complete the following triangle.
  1. Complete the following triangle.
  1. Complete the following triangle.
  1. Complete the following triangle.
  1. Complete the following triangle.
  1. Complete the following triangle.
  1. Complete the following triangle.
  1. Complete the following triangle.
  1. Complete the following triangle.
  1. Complete the following triangle.

1E1 – Graphing

  1. A car was designed so that each time one liter of gasoline was used, a light would flash on and the driver would then read the number of kilometers traveled. The data are given below. Make a graph and answer the questions about the graph.

Liters / Kilometers
1 / 6
2 / 12
3 / 18
4 / 24
5 / 30
  1. Which is the independent variable?
  2. What is the slope of the line?
  3. What distance would be expected for 1.5 liters?
  4. What distance would be expected for 6 liters?
  1. Data are given for the distance a boy covered as he was riding his bike. Make a graph and answer the questions about the graph.

Time(s) / Distance (m)
10.0 / 2.0
20.0 / 8.0
40.0 / 32.0
50.0 / 50.0
  1. Which is the independent variable?
  2. What is the general equation of this line?
  3. What does the line show in this type of graph?
  4. What does this graph show about the motion of the boy?
  5. What distance would be expected for 30.0s?
  6. What distance would be expected for 60.0s?
  1. An airplane is coming to a stop on the runway. Data is given showing the velocity the plane travels at specific time intervals. Make a graph and answer the questions about the graph.

Time(s) / Velocity (m/s)
10.0 / 256.0
30.0 / 85.3
40.0 / 64.0
50.0 / 51.2
  1. Which is the independent variable?
  2. What is the general equation of this line?
  3. What does the line show in this type of graph?
  4. What does this graph show about the motion of the plane?
  5. What velocity would be expected for 20.0s?
  6. What velocity would be expected for 0.0s?