Multiple Choice
Identify the
letter of the choice that best completes the statement or answers the question.


1.

One
toothpick is 0.13 inch long, another is 0.33 inch. Which length is greater?


2.

Order
the following decimals from least to greatest.
4.769, 4.904,
4.422 a.  4.422, 4.769,
4.904  c.  4.769, 4.904,
4.422  b.  4.422, 4.904, 4.769  d.  4.904, 4.422, 4.769     


3.

Three
bricks have the following weights: 3.16 pounds, 2.89 pounds, and 2.81 pounds. Use clustering to
determine their approximate total weight. a.  6 pounds  c.  10 pounds  b.  8.86
pounds  d.  9
pounds     


4.

Use
compatible numbers to estimate.
9.73 ´ 4.74


5.

Use
frontend estimation to add the following numbers.


6.

If
one book is 2.28 inches wide and another is 1.678 inches wide, how much wider is the
first? a.  1
inch  c.  1.823
inches  b.  6.02 inches  d.  0.602 inch     


7.

Perform the following calculation:
15.19 •
100 a.  15,190  c.  151.9  b.  1,519  d.  0.1519     



Complete the following using metric measurements.


8.

A
trout weighs about ____.


9.

Convert 1.6 mm to meters. a.  0.000016 m  c.  0.16 m  b.  0.0016
m  d.  0.0000016
m     


10.

Convert 482 g to kilograms. a.  0.482 kg  c.  48.2 kg  b.  482
kg  d.  0.00482
kg     


11.

If 4
boxes weigh 0.74 pound each, how much do they all weigh together? a.  29.6
pounds  c.  4.74
pounds  b.  5.41 pounds  d.  2.96 pounds     


12.

Solve.
3.6 • 3.5


13.

Evaluate the expression 5x for x = 4.85. a.  24.25  c.  2.425  b.  242.5  d.  20.85     


14.

If 4
friends share a bag of potato chips that costs $4.20, how much should each pay? a.  $0.20  c.  $10.50  b.  $0.11  d.  $1.05     


15.

A
rare comic book costs $20.76. If 6 fans split the cost equally, how much will each
pay? a.  $34.60  c.  $3.46  b.  $0.35  d.  $14.76     


16.

Chain
at the hardware store costs $0.15 per foot. If you purchased $1.86 of chain, what length of chain did
you buy? a.  1.24
feet  c.  124
feet  b.  11
feet  d.  12.4
feet     


17.

You
have a pitcher that holds 33.7 oz of lemonade. If each glass holds 9.3 oz, how many glasses can you
completely fill? a.  3.62
glasses  c.  5
glasses  b.  4 glasses  d.  3 glasses     


18.

Your
car uses 3.5 gallons of gas on your drive to and from work each day. If your gas tank holds 23.3
gallons of gas, how many times can you drive to and from work without running out of gas or
refueling? a.  6.66
times  c.  7.66
times  b.  7 times  d.  6 times     


19.

Suppose a trip is 403.6 miles long and you want to spend 4 days driving. How many
miles should you drive each day? a.  100 miles  c.  101 miles  b.  100.9
miles  d.  100.41
miles     


20.

The
design on a 49.2inch scarf is 12 equally sized stripes. How wide is each stripe? a.  4
inches  c.  4.27
inches  b.  4.1 inches  d.  5 inches     


21.

Solve.
x + 2.9 = 3.82 a.  x = 6.72  c.  x = 0.99  b.  x =
0.92  d.  x =
0     


22.

A
stack of blocks is 13.6 inches tall. If there are 8 blocks stacked one on top of each other, how tall
is each block? a.  1.5
inches  c.  5.6
inches  b.  1.7 inches  d.  1.9 inches     


23.

How
many significant digits does the number 0.66 have?


24.

Calculate. Write the answer with the appropriate number of significant
figures.
18.36 + 0.309 a.  18.669  c.  19.17  b.  18.67  d.  19.509     


25.

Multiply. Write the answer with the appropriate number of significant
figures.
3.9 • 5.02 a.  20  c.  19.78  b.  20.068  d.  19.578     

Matching



Match each of the following vocabulary words with its
definition. a.  clustering  d.  scientific
notation  b.  frontend estimation  e.  compatible numbers  c.  rounding     


26.

a
method used to estimate a sum when all addends are close to the same value


27.

an
estimating technique in which the front digits of the addends are added and then the sum is adjusted
for a closer estimate


28.

a
method of writing very large or very small numbers by using powers of ten

Short Answer


29.

On a
trip through a rain forest, you travel 10.4 miles the first day, 19.8 miles the second day, and 14.9
miles the third day. Estimate how many total miles you travel. Show your
work.


30.

A log
weighing 4.56 pounds is split into two pieces. If one of the pieces weighs 2.79 pounds, what does the
other one weigh? Show your work.


31.

A box
of cereal weighs 450 grams.
a.  How many kilograms does it weigh? Show your
work.  b.  How many
milligrams does it weigh? Show your work.   


32.

The
Sun’s mass is about 330,000 times that of Earth. What is this number in scientific notation?
Explain how you got your answer.


33.

A
small box of donuts weighs 8.5 oz. A large box of donuts weighs 1.6 times as much. How much does a
large box weigh? Show your work.


34.

At
the store, 6 fire logs cost $27.42. How much do they cost a piece? Show your
work.


35.

Solve
the following.
a.  A pickup truck’s gas tank can hold 19.2 gallons, and it
can go 460.8 miles on a single tank of gas. How many miles per gallon does it get? Show your
work.  b.  Driving in the
mountains is more difficult, and the same truck can go only 345.6 miles on a single tank of gas. How
many miles per gallon does it get in the mountains? Show your work.   


36.

Solve
the following.
a.  If a wall is 4.6 meters long, what is the maximum number of
0.5meter wide chairs you can place along it? Show your work.  b.  How many chairs would fit if the chairs were only 0.4 meter
wide? Show your work.   


37.

Asian
elephants are typically 2.1 feet shorter than African elephants. If an Asian elephant were 9.4 feet
tall, how tall would an African elephant be? Show your work.
