Answer
the following questions dealing with error in measurement.
Grab your calculator.
1.
If the tolerance of a
dimension on a machine part is listed as
2.54 cm
0.03 cm,
which dimension does not meet specified tolerance?
Choose:
2.
A
computer monitor is rectangular in shape. To the
nearest inch, the length of the monitor is 15 inches and
its width to the nearest inch is 13 inches.
What
is the least possible value of the area of the computer
monitor to the nearest ten?
3.
Bosie, the cow,
weighs 851 pounds, to the nearest pound. Which
weight listed cannot be the actual weight of the cow?
Choose:
4.
A
value, d, has been rounded to the nearest tenth
and is 5.7 units.
Which interval represents
the location of the exact value of d, prior to
rounding?
Choose:
5.
A
square has an area of 30 square centimeters when rounded
to the nearest square centimeter. Which length could
be the greatest possible value for the side of the square
in centimeters?
Choose:
6.
A
box is 15 inches long, 12 inches wide and 8 inches high
when the dimensions are rounded to the nearest inch.
Assuming the measurements are off by 1%, find to the
nearest cubic inch, the largest possible volume of the
box.
Choose:
7.
The
radius of this circular dartboard is measured as 9 inches,
rounded to the nearest inch. The actual radius is
8.6 inches. What, to the nearest percent, is the
percent of error in the measurement of the radius?
Choose:
8.
A
measurement is taken with a metric ruler with a precision
of 0.1 cm. The measurement is 3.4 cm. What is
the tolerance interval for this measurement?
Choose:
9.
A
part for a vacuum cleaner is to have a width of 1.7 inches
0.2 inch. What is the lower limit of the tolerance
interval for this measurement?
Choose:
10.
If
the circumference of a circle is 471.24 inches, find the
number of square inches in the area of the circle.
Choose:
11.
The
width of this animal's paw print is 3 inches to the nearest
inch. Which of the numbers listed cannot be the
actual width of the paw print?
Choose:
12.
A
student mistakenly measures the length of a radius to be
24 inches. The actual radius is 25 inches.
a.
What is the student's percent of error on this
measurement?
b.
If the student uses this measurement to compute the area
of a circle with this radius, what is the student's
percent of error on the area computation, to the nearest
tenth of a percent?
Choose:
a.
b.
13.
A measurement is taken to be 20.4 cm and the absolute
error is
0.05
cm. Find the percent of error.
Choose:
14.
A ruler has a precision of 0.1 cm.
A rectangle is measured to be 19.4 cm by 11.2 cm.
a.) What is the relative error, expressed as a
decimal, in calculating the area?
b.) What is
the percent error, to the nearest tenth of a
percent, in calculating the area?
a.) Choose:
b.) Choose:
15.
The groundskeeper is replacing the turf on a football
field. His measurements of the field are 130 yards
by 60 yards. The actual measurements are 120 yards
by 54 yards. Which expression represents the
relative error in the measurement?
Choose:
16.
Cassidy measures the side of a square and rounds her
answer to the nearest integer as 10 inches.
What is the minimum possible area of the actual square?
0.03 cm, 
