Free Printable Dimensional Analysis Practice

1.

Identify the Find in the following problem: A soccer field is 1.05 hectometers long. How many meters is this?

a)

1.05 hm

b)

m

c)

soccer field

d)

length

2.

Identify the Find in the following problem: A sugar packet has a mass of 4.5 decagrams. How many grams is this?

a)

mass (g)

b)

4.5 dag

c)

sugar packet

d)

mass

3.

Identify the Find in the following problem: A gardener fills a watering can with 4.2 liters of water to tend to the plants in the greenhouse. Before starting, the gardener wants to know exactly how many milliliters of water the can holds so they can track water usage over several days.

(a)

4.

Identify the Find in the following problem: A gardener fills a watering can with 4.2 liters of water to tend to the plants in the greenhouse. Before starting, the gardener wants to know exactly how many milliliters of water the can holds so they can track water usage over several days.

(a)

5.

Identify the explicit Given in the following problem: A pencil is 175 millimeters long. How many centimeters is this?

a)

cm

b)

175 mm

c)

pencil

d)

length

6.

Identify the explicit Given in the following problem: A race lasted 3.5 kiloseconds. How many hectoseconds is this?

a)

3.5 ks

b)

s

c)

race

d)

time

7.

Identify the explicit Given in the following problem: A moving company weighs a large box before loading it onto the truck. The scale shows 7.8 kilograms. The company policy requires recording all weights in hectograms, so the workers must convert the box’s mass into hectograms.

(a)

8.

Identify the explicit Given in the following problem: A moving company weighs a large box before loading it onto the truck. The scale shows 7.8 kilograms. The company policy requires recording all weights in hectograms, so the workers must convert the box’s mass into hectograms.

(a)

9.

Identify the implied Given needed to solve the following problem: A container holds 450 centiliters of juice. How many liters is this?

a)

$1\ L\ =\ 100\ cL$

b)

$1\ cL\ =\ 100\ L$

c)

$1\ L\ =\ 10^{-2}\ cL$

d)

$10^0\ L\ =\ 10^{-2}\ cL$

10.

Identify the implied Given needed to solve the following problem: A laboratory timer measures 9,500 seconds. How many minutes is this?

a)

$60\ s\ =\ 1\ \min$

b)

$1\ s\ =\ 60\ \min$

c)

$1\ s\ =\ 10^6\ \min$

d)

$1\ \min\ =\ 10^6\ s$

11.

Identify the implied Given needed to solve the following problem: A bag of rice weighs 47 decagrams at the store. How many decigrams is this?

(a)

12.

Identify the implied Given needed to solve the following problem: A marathon course is officially listed as 42.195 kilometers. For a local map that uses hectometers as its scale, the race organizers need to restate the course length in hectometers.

(a)

13.

Which of the following is the correct start to your Setup for the following problem: A water tank holds 6.2 hectoliters. How many liters is this?

a)

$\frac{6.2\ hL}{1}$

b)

$\frac{1}{6.2\ hL}$

c)

$\frac{10\ hL}{1\ L}$

d)

$\frac{1\ L}{10\ hL}$

14.

Which of the following is the correct start to your Setup for the following problem: A newborn baby weighs 3.4 kilograms. How many grams is this?

a)

$\frac{3.4\ kg}{1}$

b)

$\frac{1}{3.4\ kg}$

c)

$\frac{1\ kg}{1000\ g}$

d)

$\frac{10^3\ kg}{10^0\ g}$

15.

Which of the following is the correct start to your Setup for the following problem: A farmer measures the width of a small irrigation ditch and finds it to be 950 centimeters. How many meters wide is the ditch?

(a)

16.

Which of the following is the correct start to your Setup for the following problem: At a bakery, a recipe calls for 6.4 deciliters of cream. However, the measuring cups available are marked in centiliters, so the baker needs to convert the cream measurement into centiliters before pouring.

(a)

17.

Complete the Setup for the following problem: A graduated cylinder contains 85 deciliters of water. How many milliliters is this?

a)85 dL

b)1

c)100 mL

d)1 dL

e)850 mL

f)0.085 mL

g)100 dL

h)1 mL

1

2

3

4

5

1)

2)

3)

4)

5)

18.

Complete the Setup for the following problem: A marathon runner runs 42,000 meters. How many kilometers is this?

a)42,000 m

b)1

c)1 km

d)1000 m

e)42 km

f)42,000,000 km

g)1000 km

h)1 m

1

2

3

4

5

1)

2)

3)

4)

5)

19.

Use dimensional analysis to solve the problem: A swimmer completes 25 laps, with each lap being 50 meters. How many kilometers did the swimmer cover in total?

(a)

20.

Use dimensional analysis to solve the problem: A researcher times a laboratory procedure that takes 2.4 kiloseconds to complete. Since most of the data table is set up in seconds, the researcher converts the total time into seconds before recording the result.

(a)

Dimensional Analysis Practice

Total questions: 20

Worksheet time: 17mins

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