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Worksheets

Mathematics in Physics Review

Total questions: 169

Worksheet time: 3hrs 59mins

Name
Class
Date
1.
How many significant figures does the following number have?
0.00345
a)
6
b)
5
c)
3
d)
Ambiguous: 3,4,5, or 6
2.
How many significant figures does the following number have: 0.00204
a)
6
b)
4
c)
3
d)
2
3.

How many significant figures does the following number have?1.2500 x 10310^3  

a)
5
b)
3
c)

Ambiguous: 3 or 5

d)

7

4.
How many significant figures does the following number have: 100.00210
a)
7
b)
8
c)
10
d)
Ambiguous: 7 or 8
5.
Solve and give your answer with the correct number of significant figures
(12.470)(271)
a)
3366.9
b)

3380

c)
3400
d)
3370
6.
Solve and give your answer with the correct number of significant figures
24.28 + 12.5
a)
3.687 x 101
b)
36.8
c)
37
d)
3.70x101
7.
Solve and give your answer with the correct number of significant figures
1421-34
a)
1.39x103
b)
1387
c)
1390
d)

1400

8.
Calculate 923 g ÷ 20312 cm3 and give your answer with the correct number of significant figures.
a)
0.04 g/cm3
b)
0.045 g/cm3
c)
0.0454 g/cm3
d)
0.05 g/cm3
9.
Calculate 1.23 m x 0.89 m and give your answer with the correct number of significant figures.
a)
1.0 m2
b)
1.1 m2
c)
1.0947 m2
d)
1.095 m2
10.
Calculate 7.987 m - 0.54 m and give your answer with the correct number of significant figures.
a)
7.45 m
b)
7.447 m
c)
7.4 m
d)
7.5 m
11.
Calculate 12.47 m ÷ 3.2 s and give your answer with the correct number of significant figures.
a)
4 m/s
b)
3.9 m/s
c)
3.90 m/s
d)
3.897 m/s
12.
Calculate 0.020 cm x 50 cm x 11.1 cm and give your answer with the correct number of significant figures.
a)
10 cm3
b)
11.1 cm3
c)
11 cm3
d)
11. cm3
13.

How many significant figures: 450 m

a)

3

b)

2

c)

1

d)

0

14.
Determine the number of sig figs in the following measurement: 
0.036653 m
a)
7
b)
5
c)
2
d)
0
15.
Determine the number of sig figs in the following measurement: 
72,100 g
a)
5
b)
3
c)
6
d)
4
16.
Determine the number of sig figs in the following measurement: 
3,000 mm
a)
1
b)
4
c)
2
d)
3
17.
Determine the number of sig figs in the following measurement: 
25.03 L
a)
4
b)
3
c)
2
d)
1
18.
Determine the number of sig figs in the following measurement: 
0.00300
a)
3
b)
6
c)
1
d)
5
19.
Round the following number off to the number of sig figs shown in parentheses:
72,100 (1)
a)
70,000
b)
7
c)
70
d)
72,000
20.
Round the following number off to the number of sig figs shown in parentheses:
529.78 (3)
a)
530
b)
529
c)
5.30 x 102
d)
5.3 x 102
21.
Calculate the answer to the following problem and round the final answer to the correct number of sig figs:
24.567 + 0.04478 =
a)
24.61178
b)
24.612
c)
24.611
d)
24.61
22.
Express the following number in decimal notation: 
4.502 x 105
a)
450,200
b)
4502
c)
0.00004502
d)
0.000004502
23.
Express the following number in decimal notation: 
4.96 x 10-3
a)
0.00496
b)
4,960
c)
496
d)
0.000496
24.
Express the following number in decimal notation: 
1.729 x 106
a)
1,729,000
b)
0.000001729
c)
172,900
d)
1.729
25.
Express the following number in scientific notation: 
0.00075
a)
7.5 x 10-4
b)
7.5 x 104
c)
7.5 x 103
d)
7.5 x 10-3
26.
Express the following number in scientific notation: 
0.00000534
a)
5.34 x 10-6
b)
5.34 x 106
c)
534 x 105
d)
5.34 x 10-5
27.
Express the following number in scientific notation: 
18,000,000
a)
1.8 x 107
b)
18 x 106
c)
1.8
d)
1.8 x 10-7
28.
Calculate the answer to the following problem and round the final answer to the correct number of sig figs:
4.627 / 0.00371 = 
a)
1247.169811
b)
1250
c)
1247
d)
1240
29.
Calculate the answer to the following problem and round the final answer to the correct number of sig figs:
278 x 11.70 =
a)
3252.6
b)
3250
c)
3252
d)
325
30.
Name the equipment?
a)
beaker
b)
graduated cylinder
c)
erlenmeyer flask
d)
test tube
31.
Name the lab equipment?
a)
smock
b)
apron
c)
cover up
d)
goggles
32.
what is the symbol of Carbon element
a)
S
b)
C
c)
Si
d)
Ca
33.
what is the name of H2O
a)
water
b)
oxide
c)
hydrogen
d)
calcium
34.
How many sig. fig. are in the number below:
350.540
a)
4
b)
5
c)
6
d)
7
35.
How many sig. fig. are in the number below:
0.0005
a)
1
b)
2
c)
3
d)
4
36.
How many sig figs are there?
0.00400
a)
1
b)
3
c)
5
d)
6
37.
Which measurement contains 3 sig figs?
a)
200 mL
b)
20.0 mL
c)
0.02 mL
d)
0.020mL
38.
What is the correct number of sig figs in 10500
a)
3
b)
2
c)
4
d)
5
39.
Which value has only 4 significant digits? 
a)
6.930
b)
0.450
c)
8450
d)
0.392
40.

Convert the following to scientific notation.

0.000480

a)

4.8 x 10-4

b)

4.80 x 10-4

c)

48 x 10-5

d)

4.80 x 104

41.
Round 1047.78 to three sig figs
a)
104
b)
105
c)
1050
d)
1050.00
42.
Round 1009 to three sig figs
a)
100
b)
101
c)
1010
d)
1000
43.
Round 720.36 to two sig figs
a)
72
b)
73
c)
720
d)
720.00
44.
What is 98.907 rounded to 1 significant figure?
a)
98.9
b)
90
c)
100
d)
98.91
45.
Which of the following measurements contains two significant figures?
a)
0.00400 L
b)
0.00404 L
c)
0.00044 L
d)
0.00440 L
46.
What is 0.0568 rounded to 1 significant figure?
a)
0
b)
0.06
c)
0.6
d)
0.57
47.
What is 78.5 rounded to one significant figure?
a)
79
b)
78.5
c)
70
d)
80
48.
How many Significant Figures in the number below?
4.56 x 103
a)
5
b)
4
c)
6
d)
3
49.
How would you write 564,000,000 in scientific notation?
a)
5.64 x 10-7
b)
5.64 x 106
c)
5.64 x 108
d)
56.4 x 107
50.

Which is the more precise measurement?

a)

4 mL

b)

4.3 mL

c)

4.30 mL

d)

4.300 mL

51.

Round 9563.28 to 1 significant figure

a)

9

b)

9000

c)

10000

d)

9000.0

52.

Round 8.249 to 2 significant figures

a)

8.2

b)

8.0

c)

8.3

d)

8.25

53.

Round 89.95 to 3 significant figures

a)

90

b)

90.0

c)

89.9

d)

89.0

54.

Round 0.05098 to 2 significant figures

a)

0.050

b)

0.0050

c)

0.059

d)

0.051

55.

Round 29.23 to 1 significant figure

a)

2

b)

20

c)

30

d)

30.0

56.

Round 808094.2 to 4 significant figures

a)

808100

b)

808010

c)

808090

d)

808000

57.

Currently, I am feeling_______________ about rounding sig figs!

a)

Pretty good!

b)

So, so... I keep making little mistakes

c)

ugh...not so great...I got a few wrong

d)

terrible!!! WHAT IS A SIG FIG?!!!!!!!

58.
How many sig. fig. are in the number below:
350.540
a)
4
b)
5
c)
6
d)
7
59.
How many sig. fig. are in the number below:
0.0005
a)
1
b)
2
c)
3
d)
4
60.
Which measurement contains 3 sig figs?
a)
200 mL
b)
20.0 mL
c)
0.02 mL
d)
0.020mL
61.
Round 1047.78 to three sig figs
a)
104
b)
105
c)
1050
d)
1050.00
62.
Round 1009 to three sig figs
a)
100
b)
101
c)
1010
d)
1000
63.
How many Significant Figures in the number below?
4.56 x 103
a)
5
b)
4
c)
6
d)
3
64.
How many Significant Figures in the number below?
0.456
a)
3
b)
4
c)
2
d)
1
65.
How many Significant Figures in the number below?
4,500
a)
3
b)
4
c)
2
d)
1
66.
How many Significant Figures in the number below?
400,506
a)
5
b)
4
c)
6
d)
3
67.
How many Significant Figures in the number below?
4,560
a)
5
b)
4
c)
6
d)
3
68.
How many significant figures does 10.1 cm have?
a)
1
b)
2
c)
3
d)
4
69.
How many significant figures does 0.010 m have?
a)
1
b)
2
c)
3
d)
4
70.
How many significant figures does 10,080 sec have?
a)
3
b)
4
c)
5
d)
6
71.
How many significant figures does 0.025 kg have?
a)
1
b)
2
c)
3
d)
4
72.
Determine the number of sig figs in the following measurement: 
0.036653 m
a)
7
b)
5
c)
2
d)
0
73.
Determine the number of sig figs in the following measurement: 
72,100 g
a)
5
b)
3
c)
6
d)
4
74.
Determine the number of sig figs in the following measurement: 
3,000 mm
a)
1
b)
4
c)
2
d)
3
75.
Determine the number of sig figs in the following measurement: 
25.03 L
a)
4
b)
3
c)
2
d)
1
76.
How many significant figure in 0.007?
a)
4
b)
3
c)
1
d)
0
77.
How many significant figures in 10,097?
a)
3
b)
5
c)
2
d)
0
78.
Calculate 1.23 m x 0.89 m and give your answer with the appropriate number of significant figures.
a)
1.0 m2
b)
1.1 m2
c)
1.0947 m2
d)
1.09 m2
79.
Calculate 923 g ÷ 20312 cm3 and give your answer with the appropriate number of significant figures.
a)
0.04 g/cm3
b)
0.045 g/cm3
c)
0.0454 g/cm3
d)
4 x 10-2 g/cm3
80.
How many Significant Figures in the number below?
4,560
a)
5
b)
4
c)
6
d)
3
81.

What is the correct answer according to sig fig rules:

.005612 x .40145 =

a)

.0022

b)

.00225

c)

.002252

d)

.002253

82.

What is the correct answer for this problem:

3.5 cm x 4.21cm =

a)

14.73 cm2

b)

14.7 cm2

c)

14 cm2

d)

15 cm2

83.
How many Significant Figures in the number below?
4,500
a)
3
b)
4
c)
2
d)
1
84.

Solve & Round to Correct Sig Figs.

4.5 x 2.34 =

a)

11

b)

10.53

c)

10.5

d)

10

85.

Complete the following calculations. Round off your answers as needed.

245.01 km x 2.1 km

a)

5.14521 x 102

b)

510

c)

514

d)

514.521

86.
Solve & Round to Correct Sig Figs.
100 / 2 = 
a)
50
b)
50.
c)
50.0
d)
50.00
87.
Calculate 12.47 m ÷ 3.2 s and give your answer with the correct number of significant figures.
a)
4 m/s
b)
3.9 m/s
c)
3.90 m/s
d)
3.897 m/s
88.
Calculate 0.020 cm x 50 cm x 11.1 cm and give your answer with the correct number of significant figures.
a)
10 cm3
b)
11.1 cm3
c)
11 cm3
d)
11. cm3
89.

3.45 ÷ 19

(a)  

90.

450 ÷ 3.42

(a)  

91.

5.00 x 6.00

(a)  

92.

235.8 x 45.2 x 7.9

(a)  

93.

50.0 ÷ 5.0

(a)  

94.

If you have a number in scientific notation with a negative exponent, what does this tell you?

a)

You have a negative number

b)

You have a very large number

c)

Nothing

d)

You have a very small number

95.

If you have a number in scientific notation that has a positive exponent what does this tell you?

a)

You have a very small number

b)

You do not need to move the decimal

c)

You have a very large number

d)

Nothing

96.

When multiplying two numbers in scientific notation, what do you do with the exponents?

a)

Add them

b)

Subtract them

c)

Multiply them

d)

Leave them alone

97.

When subtracting two numbers in scientific notation, what do you do with the exponent?

a)

Leave them alone

b)

Leave them alone (But only if they match)

c)

Subtract them

d)

Add them

98.

When dividing two numbers in scientific notation, what do you do with the exponents?

a)

Add them

b)

Subtract them

c)

Multiply them

d)

Leave them alone

99.

Complete the operation:


(6 x 10^5) X (1 x 10^10)

a)

7 x 10^15

b)

6 x 10^-5

c)

6 x 10^15

d)

6 x 10^50

100.

Complete the operation:


(4 x 10^3) + (8 x 10^3)

a)

1.2 x 10^4

b)

1.2 x 10^3

c)

12 x 10^3

d)

12 x 10^4

101.

Complete the operation:


(8 x 10^-3) / (4 x 10^-8)

a)

2 x 10^-11

b)

2 x 10^-5

c)

2 x 10^5

d)

2 x 10^11

102.

How do you write the number 0.000023 in scientific notation?

a)

2.3 x 10^5

b)

2.3 x 10^-5

c)

23 x 10^4

d)

23 x 10^-4

103.

How do you write the number 9600 in scientific notation?

a)

96 x 100

b)

96 x 10^2

c)

9.6x 10^2

d)

9.6 x 10^3

104.

The SI unit for mass is _________.

a)

Pounds

b)

Inches

c)

Kilograms

d)

Ounces

105.

Degree Celsius is the (a)   unit for temperature.

106.

The unit for time in both metric and SI is (a)   .

107.

___________ measures the space matter occupies.

a)

mass

b)

volume

c)

length

d)

kilogram

108.

The unit of length that chemists most often use is.....

a)

centimeter

b)

kilometer

c)

liter

d)

milliliter

109.

1 meter is equal to (a)   centimeters

110.

(a)   is a measure of the quantity of material something contains. 

111.

All nonzero digits are significant.

a)

true

b)

false

112.

A zero in front of a decimal is significant.

a)

true

b)

false

113.

A zero at the end of a decimal is significant.

a)

true

b)

false

114.

Coefficients of numbers written in scientific notation are significant.

a)

true

b)

false

115.

How many significant figures in:

0.00912

(a)  

116.

How many significant figures in:

3.42 x 10^6

(a)  

117.

How many significant figures in:

5.0

(a)  

118.

How many significant figures in:

50,000

(a)  

119.

How many significant figures in:

807.91

(a)  

120.

Which has two significant digits?

a)

0.02

b)

2 x 10^2

c)

20

d)

20.

121.
How many Significant Figures in the number below?
0.456
a)
3
b)
4
c)
2
d)
1
122.
How many Significant Figures in the number below?
4,500
a)
3
b)
4
c)
2
d)
1
123.
How many Significant Figures in the number below?
400,506
a)
5
b)
4
c)
6
d)
3
124.
How many Significant Figures in the number below?
4,560
a)
5
b)
4
c)
6
d)
3
125.
How many Significant Figures in the number below?
406,000
a)
5
b)
4
c)
6
d)
3
126.
Solve & Round to Correct Sig Figs.
4.5 + 4.32 = 
a)
8.8
b)
8.7
c)
8
d)
8.0
127.
Solve & Round to Correct Sig Figs.
4.5 x 2.34 = 
a)
11
b)
10.52
c)
10.5
d)
10
128.
Solve & Round to Correct Sig Figs.
103.45 + 2 = 
a)
105
b)
104
c)
105.45
d)
106
129.
Solve & Round to Correct Sig Figs.
100 / 2 = 
a)
50
b)
50.
c)
50.0
d)
50.00
130.
Solve & Round to Correct Sig Figs.
207 + 2 = 
a)
209
b)
210
c)
209.0
d)
209.00
131.
Solve. Round using SigFig math rules.
12.5-mL + 20.05-mL + 2.69-mL
a)
35-mL
b)
35.2-mL
c)
35.24-mL
d)
35.240-mL
132.
Solve. Round using SigFig math rules.
98.7°C - 97.25°C 
a)
1°C
b)
1.4°C
c)
1.45°C
d)
1.450°C
133.
Find the sum 3.35 + 1.4 + 3.65
a)
8.9
b)
8.22
c)
8.43
d)
8.4
134.
86.04 + 4.04
a)
9.044
b)
9044
c)
90.08
d)
90.44
135.

0.001 s + 9.234 s = ?

a)

0.9234 s

b)

9.235 s

c)

9.24 s

d)

10 s

136.

33 g - 2.1 g = ?

a)

31.9 g

b)

31 g

c)

30.9 g

d)

30 g

137.

220 ft - 100 ft = ?

a)

120 ft

b)

100 ft

c)

150 ft

d)

200 ft

138.

220 ft - 101 ft = ?

a)

100 ft

b)

120 ft

c)

119 ft

d)

200 ft

139.

0.495 g - 0.101 g = ?

a)

0.394 g

b)

0.3 g

c)

0.4 g

d)

0.494 g

140.

0.495 g - 0.1 g = ?

a)

0.395 g

b)

0.39 g

c)

0.4 g

d)

1 g

141.

0.495 g - 0.001 g = ?

a)

0.394 g

b)

0.3984 g

c)

0.494 g

d)

0.5 g

142.

1200 light years - 5 light years = ?

a)

1195 light years

b)

2000 light years

c)

1000 light years

d)

1200 light years

143.

1200 light years - 100 light years = ?

a)

1200 light years

b)

100 light years

c)

1100 light years

d)

2000 light years

144.

1200 light years - 300 light years = ?

a)

900 light years

b)

1000 light years

c)

1500 light years

d)

what is a light year?

145.

67 seconds + 10.1 seconds = ?

a)

77.1

b)

77

c)

70

d)

80

146.

0.0005 meters + 0.029 meters = ?

a)

0.0295 meters

b)

0.300 meters

c)

0.030 meters

d)

0.029 meters

147.

1.61 grams + 100 grams = ?

a)

101.61 g

b)

102 g

c)

1.61 x 102 g

d)

100 g

148.

9544 lbs - 321 lbs = ?

a)

9000 lbs

b)

10,000 lbs

c)

9223 lbs

d)

9862 lbs

149.

1.0 kg - 0.001 kg = ?

a)

0.999 kg

b)

0.99 kg

c)

0.9 kg

d)

1.0 kg

150.

55.04 - 24.7

a)

30.4

b)

30.3

c)

30.30

d)

30.340

151.

Complete the statement:

5.0 cm/min = ______ m/day

(100 cm = 1 m)

a)

72

b)

840

c)

7.2

d)

5,040,000

152.

A bicycle has a speed of 6.00 m/s. What is its speed in km/h?

a)

21.6 km/h

b)

16.67 km/h

c)

2.16 km/h

d)

1.67 km/h

153.

Three ounces of cinnamon cost $2.40. If there are 16 ounces in 1 pound, how much does cinnamon cost per pound? Ignore significant figures

a)

$12.80

b)

$21.20

c)

$38.40

d)

$45.20

154.
1 Meter = ______cm
a)
100
b)
10
c)
1
d)
1000
155.
5 gallons to ? L 
1gal = 3.785 L
a)
18.95
b)
.1895
c)
1895
d)
1895000
156.
211 lb=? kg
1kg =2.2 lb
a)
95794.0
b)
95.90
c)
9.59x10^-11
d)
.9590
157.
Convert 300 meters to centimeters:
a)
3000 cm
b)
0.3 cm
c)
30,000 cm
d)
3 cn
158.
The length of a desk is 3.5 feet. How many centimeters is the length? 
(there are 2.54 cm in an inch)
a)
60
b)
120.23
c)
106.68
d)
117.12
159.
Convert 4.80 cm to mm. 
a)
4.80 mm
b)
48 mm
c)
480 mm
d)
4800 mm
160.
The prefix "milli" means:
a)
1000
b)
1/1000
c)
1,000,000
d)
1/1,000,000
161.
What unit is the largest unit
a)
hm
b)
cg
c)
g
d)
dm
162.
Convert 23 cm to m
a)
2.3
b)
0.23
c)
2,300
d)
230
163.
1 L = _______ mL
a)
1
b)
10
c)
100
d)
1000
164.
What does the term kilo mean?
a)
100
b)
10
c)
.001
d)
1000
165.
m stands for....
a)
millimeter
b)
meter
c)
centimeter
d)
Liter
166.
convert 9 km to mm
a)
900,000
b)
9,000,000
c)
9,000
d)
90,000
167.
1 Meter = ______cm
a)
100
b)
10
c)
1
d)
1000
168.
9.2 Km = ______m
a)
92
b)
920
c)
0.92
d)
9200
169.
If you are converting from cm to m, how many places and in what direction do you have to move the decimal?
a)
3 right
b)
3 left
c)
2 right
d)
2 left