Measurement Quiz Review:
Ratios, Metric Measurements w/Proportional Reasoning, Significant Figures, & Balancing
PLEASE WRITE YOUR ANSWERS TO THE FOLLOWING PROBLEMS IN YOUR SCIENCE NOTEBOOK.
A. Ratios and Proportions
Jeannine has a bag with 3 DVDs, 42 marbles, 7 books, and 10 oranges.
1. What is the proportion of books to marbles (reduced)?
7 books for every 42 marbles (7 books:42 marbles or 7 books/42 marbles)
REDUCED: 1 book for every 6 marbles (1 book:6 marbles or 1 book/6 marbles)
2. What is the proportion of DVD’s to the total number of items in the bag?
3 DVDs for every 62 items (3 DVDs:62 Items or 3 DVDs/62 Items)
3. What is the proportion of marbles to oranges (reduced)?
42 marbles for every 10 oranges (42 marbles:10 oranges or 42 marbles/10 oranges)
REDUCED: 21 marbles for every 5 oranges (21 marbles:5 oranges or 21 marbles/5 oranges)
4. Are the proportions (for two given materials) 7:1 and 3 to 21 equivalent? Explain your
reasoning.
No, these two ratios/proportions are equal because 3 can divided into 21 BUT that would
make the ratio/proportion 1:7 NOT 7:1.
B. Metric Measurement & the Stair Case Method
Use the stair case method to convert the following metric measurements.
1.
607.8 cm = 6.078 m
3.
0.0029009 g = 2.9009 mg
2.
0.0000675 kL = 0.675 dL
4
1000000 hm = 100000000 m
C. Metric Measurements & Proportional Reasoning
SHOW HOW YOU USE PROPORTIONS TO FIND THE ANSWER IN THE APPROPRIATE UNITS.
1) An endangered California condor has a wing span of 3.05 m. What is the wing span in feet?
3.05 m x 3.2808399 ft = 10.006561695 m --> 10.0 m
1m
2) In Europe gasoline is sold by the liter. A Renault compact car has a gas tank that will hold
14 gallons of fuel. How many liters of gas will fill the tank?
14 gal x 3.7854118 L = 52.9957652 L --> 53 L
1 gal
3) Your mom decides to buy a French cookbook. She wants to make 3.0 quarts of sangria for
a party. Will a recipe of 2.5 L be enough?
2.5 L x 1.0566882 qt = 2.6417205 qt --> 2.6 qt
No, a recipe for 2.5 L will NOT
1L
be enough.
4) One 1.6 oz. of package of maple and brown sugar instant oatmeal contains 34 g of
carbohydrates. If you had instant oatmeal 6.0 days a week, how many ounces of
carbohydrates would you be consuming each week?
34 g
1 packet
x 0.035273962 oz = 1.199314708 oz x 6 packets = 7.195888248 oz --> 7.2 oz
1g
1 packet
Measurement Quiz Review:
Ratios, Metric Measurements w/Proportional Reasoning, Significant Figures, & Balancing
D. Significant Figures
Identify how many significant figures there are in the following numbers.
1. 0.0002300
4
3.
0.00734
3
2. 2003.0
5
4.
69.4000
6
Write the following numbers with only two significant figures. NO NAKED NUMBERS.
1. 607.8 cm
2. 0.0000675 kL
610 cm
3.
0.0029009 g
0.000068 kL
4.
102000 hm
0.0029 g
100000 hm
Complete the following problems using the appropriate significant figures.
SHOW THE CALCULATOR ANSWER AND THE FINAL ANSWER WITH THE CORRECT SIG
FIGS.
1.
98.6 + 0.6543 = 99.2543 --> 99.3
2.
830 x 40 = 33200 --> 33000
3.
4.
3.2 ÷ 0.456 = 7.01754385964912 --> 7.0
150.000 - 123.70 = 26.3 --> 26.30
E. Balancing the System
Describe where to place a single washer on either side of the balance so that both
sides balance and there is no turning effect. IF the system is already balanced
explain why.
1)
2)
The left side equals 8 (1 @ the 2nd hole +
1 @ the 6th hole). The right side equals 8
also (2 @ the 4th hole).
The left side equals 18 (2 @ the 5th hole +
1 @ the 8th hole). The right side only
equals 14. To balance the system 1 washer
needs to be placed in the 4th hole.
Measurement Quiz Review:
Ratios, Metric Measurements w/Proportional Reasoning, Significant Figures, & Balancing
Use the give information to determine the mass or the distance from the fulcrum that
would balance the system.
3) On the left side of a meter stick
4) If the stack of hex nuts on the left side of
suspended from the ceiling is a stack of
24 hex nuts that have been placed 15 cm
the meter stick were reduced by 10, but
kept at the same distance from the
from the fulcrum. If a stack of hex nuts
were to be placed 20 cm from the
fulcrum, and the stack you just figured
out in #3 were moved 10 cm closer to
fulcrum on the right side of the meter
the fulcrum on the right side, how many
stick, how many hex nuts would need to
be in that stack to maintain the balance?
hex nuts would need to be added to the
stack?
24 hex nuts x 15 cm = ? hex nuts x 20 cm
360 hex nuts x cm = ? hex nuts x 20 cm
20 cm
20 cm
18 hex nuts = ? hex nuts
Left Side:
24 hex nuts - 10 hex nuts = 14 hex nuts
Right Side:
20 cm - 10 cm = 10 cm
14 hex nuts x 15 cm = (18 hex nuts + ? hex nuts) x 10 cm
210 hex nuts x cm = (18 hex nuts + ? hex nuts) x 10 cm
10 cm
10 cm
21 hex nuts = 18 hex nuts + ? hex nuts
-18 hex nuts = -18 hex nuts
3 hex nuts = ? hex nuts