Free Printable CW - Dimensional Analysis

1.

_ g = 1 kg

a)

1,000

b)

10

c)

0.001

d)

100

2.

_ mm = 1 m

a)

1,000

b)

10

c)

0.001

d)

100

3.

_ cm = 1 km

a)

0.000001

b)

100,000

c)

0.0001

d)

10,000

4.

1 cL = _ mL

a)

0.1

b)

10

c)

0.01

d)

100

5.

1 m = _ cm

a)

0.1

b)

10

c)

0.01

d)

100

6.

Which conversion factor would you use to convert 5.20 g into kg?

a)

1 g/1000 kg

b)

1000 kg/1 g

c)

1 kg/1000 g

d)

1000 g/1 kg

7.

Which conversion factor would you use to convert 0.0250 hL into cL?

a)

1 hL /10,000 cL

b)

10,000 cL/1 hL

c)

10,000 hL/ 1 cL

d)

1 cL/10,000 hL

8.

Convert 25.0 mL into L

a)

25,000 L

b)

0.025 L

c)

0.0250 L

d)

2,500 L

9.

There are ___ millimeters(mm) in 2.7 centimeters (cm)

a)

270 mm

b)

.27 mm

c)

27 mm

d)

.027 mm

10.

To write a number in scientific notation, all of the following must be true EXCEPT...

a)

The value must be greater or equal to 1 but less than 10

b)

The value must in SN have the same sig figs as the original value

c)

The exponent must be a positive value

11.

convert 9.0 km to mm

Write in SN

a)

9 x 10⁶ mm

b)

9.0 x 10⁶ mm

c)

9.0 x 10^-6 mm

d)

9 x 10^-5 mm

e)

9 x 10⁵ mm

12.

7,000 milligrams = _____ grams

a)

7

b)

70

c)

7.000

d)

70,000

13.

Write 0.000972 mgin scientific notation.

a)

9.72 x 10^-4mg

b)

9.72 x 10^-3 mg

c)

972 x 10^-4 mg

d)

9.72 x 10⁴ mg

14.

How would you write 50,000 in scientific notation?

a)

50 x 10⁵

b)

5 x 10⁴

c)

5 x 10³

d)

.5 x 10³

15.

285 kg = ____ g

a)

285,000

b)

285

c)

2,850

d)

28,500

16.

1208 mL = _____________ L

a)

120.8 L

b)

0.00128 L

c)

1.208 L

d)

1,2080,000 L

17.

Is there anything wrong with the dimensional analysis set up yes or no and why?

a)

yes, you have to have days in the numerator in the 2nd column

b)

no, at the end of the dimensional analysis you will have days² which is very helpful

c)

no, in this set up the days cancel every time

d)

yes, minutes will cancel with days easily with days in the numerator

18.

Which conversion factor would you use to convert from cm to inches?

a)

$\frac{1\ in}{2.54\ cm}$

b)

$\frac{2.54\ cm}{1\ in}$

c)

$\frac{2.54\ in}{1\ cm}$

19.

Which conversion factor would you use to convert 819 mL to L?

a)

$\frac{1\ L}{1000\ mL}$

b)

$\frac{1000\ L}{1\ mL}$

c)

$\frac{1000\ mL}{1\ L}$

20.

What conversion factor would you use to solve this problem?

a)

2.20 lbs / 1 kg

b)

1 kg / 2.20 lbs

c)

0.002 lbs / 1 g

d)

1 g / 0.002 lbs

21.

If the proper conversion is 2.2 lbs = 1 kg, then what should go in the empty box?

a)

2.2 lbs

b)

1000 g

c)

1000 ml

d)

1 L

22.

Convert 4.2 seconds to hours

a)

0.00117 hours

b)

252.0 hours

c)

0.05 hours

d)

1.2 hours

23.

How many kilograms of calcium are there in 173 pounds of calcium?

a)

1.10 kg

b)

78.5 kg

c)

110 kg

d)

78500 kg

24.

What must be true about a conversion factor when converting from one unit to another?

a)

The units in the numerator must be the same as the units in the denominator

b)

The number "1" must always be in the numerator

c)

The numerator must be equal to the denominator.

25.

Convert 15 km to miles

a)

0.107 miles

b)

24.1 miles

c)

9.3 miles

d)

3.2 miles

26.

Convert 26.2 m/s to km/hr

HINT: $\frac{26.2\ m}{1\ s}\times\frac{?}{?}\times\frac{?}{?}\ \times\frac{60\ \min}{?}=\frac{?\ km}{hr}$

a)

94.3 km/hr

b)

3.41 km/hr

c)

2.64 km/hr

d)

0.98 km/hr

27.

Convert 20 tons/year to ounces/day

HINT: 3 conversion factors

a)

0.0004 ounces/day

b)

6.8 ounces/day

c)

109.6 ounces/day

d)

2,000 ounces/day

e)

2 ounces/day

28.

Convert 50. decimeters/week to kilometers/year?

a)

0.026 kilometers/year

b)

2.6 kilometers/year

c)

0.26 kilometers/year

d)

26 kilometers/year

e)

0.3 kilometer/year

29.

You have a faucet in your bathroom that is leaking. You estimate that it is dripping every 3.00 seconds. How much does it drip in a week?

a)

105,000drops/wk

b)

303,000drops/wk

c)

202,000drops/wk

d)

205,000drops/wk

30.

Choose the correct conversion factor and answer for this conversion:
$8,203\ mL\ \times\ \frac{1\ L}{1000\ mL}\ \times\ \ \ \ \ \ \ ?\ \ \ \ \ \ \ \ =\ \ \ \ ?$

a)

$\frac{3.7854\ gal}{1\ L}\ =\ 31.05\ gal$

b)

$\frac{3.7854\ L}{1\ gal}\ =\ 31.05\ gal$

c)

$\frac{1\ gal}{3.7854\ L}\ =\ 2.167\ gal$

31.

Which of the following processes is correct.

a)

$0.006810\ lbs\ \times\ \frac{453.59\ g}{1\ lb}\ \times\ \frac{1000\ mg}{1\ g}\ =\ 3088\ mg$

b)

$925\ mile\ \times\ \frac{1\ mile}{5280\ feet}\ \times\ \frac{1.6093\ km}{1\ mile}\ =\ 0.282\ km$

c)

$68.5\ fl\ oz\ \times\ \frac{1\ gal}{32\ fl\ oz}\ \times\ \frac{3.7854\ L}{1\ gal}\ =\ 8.10\ L$

32.

How many gallons are in a pool that holds 758,000 Liters?

a)

2.00 x 10⁵ gallons

b)

200,000. gallons

c)

200,000 gallons

d)

2 gallons

33.

Gas costs $3.05 a gallon, and your car travels at 27 miles for each gallon of gas. How far can you travel in your car with $95 in your pocket?

a)

11 miles

b)

840 miles

c)

7800 miles

d)

870 miles

34.

The human esophagus us about 250. mm long. How long is that in inches?

a)

10.64 in

b)

9.84 in

c)

11.35 in

d)

8.84 in

35.

A child weighs 40.0 lb and is to receive 0.100 mg of an antibiotic for each kg of body weight. How many milligrams of the antibiotic shall the child receive?

a)

18.2 mg

b)

182 mg

c)

0.182 mg

d)

1.82 mg

36.

When solving problems using dimensional, the number of significant figures a conversion factor has is...

a)

variable

b)

zero

c)

three

d)

infinite

CW - Dimensional Analysis

Total questions: 36

Worksheet time: 41mins

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