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Worksheets

Error Analysis & Significant figures

Total questions: 42

Worksheet time: 42mins

Name
Class
Date
1.

Distance from Sharjah to dubai is 20+ 2 km and from Dubai to Abu Dhabi is 105 + 3km. What is the total distance between Sharjah and Abu Dhabi? Express the answer with systematic error in the measurement.

a)

125 + 5 km

b)

85 + 1 km

c)

125 + 1 km

d)

85+ 5 km

2.

Temperature of water falls from 60+1 Degree to 25+1 degree. What is the fall in temperature? Express the answer with systematic error in the measurement.

a)

35+1

b)

35+ 2

c)

85 + 1

d)

85+ 2

3.

Length and width of a table is 120+5 cm and 70 + 5 cm respectively. What is the perimeter of the table?

a)

190 + 20 cm

b)

380 + 10 cm

c)

190 + 10 cm

d)

380 + 20 cm

4.

Length and width of a table is 120+5 cm and 70 + 5 cm respectively. What is the percentage error in the perimeter of the table?

a)

10.5%

b)

2.6%

c)

5.3%

d)

2.0%

5.

Which of these is NOT true for systematic errors?

a)

They arise due to errors in the measuring instruments used.

b)

Repeating the observations or increasing the sample size can eliminate them

c)

They are reproducible inaccuracies that are consistently in the same direction.

d)

They arise from the design of the study.

6.

Which of these is NOT true for random errors?

a)

They are difficult to detect.

b)

They do not arise from the design of the study.

c)

They are less likely for small sample sizes.

7.

Systematic errors lead to a lack of:

a)

accuracy in the measurement.

b)

significant digits in the measurement.

c)

precision in the measurement.

d)

gradation of the measuring instrument

8.

Random errors lead to a lack of:

a)

accuracy in the measurement.

b)

significant digits in the measurement.

c)

precision in the measurement.

d)

gradation of the measuring instrument

9.

Repeated measurements of a quantity can reduce the effects of

a)

both random errors and systematic errors

b)

neither random errors nor random errors

c)

random errors

d)

systematic errors

10.

How close a measurement is to the true value is called..

a)

Accuracy

b)

Precision

c)

Significant

d)

Estimate

11.

This bullseye demonstrates...

a)

High Accuracy & High Precision

b)

High Accuracy & Low Precision

c)

Low Accuracy & High Precision

d)

Low Accuracy & Low Precision

12.
A set of data are all close to each other, but they are not close to the actual value.  This set of data can be described as...
a)
accurate
b)
precise
c)
both precise and accurate
13.
A set of data are not close to each other, but the average of the data is very close to the actual value.  This set of data can be described as...
a)
accurate
b)
precise
c)
both precise and accurate
14.

Two students A and B measured the diameter of a wire in mm.

Data A: 1.57, 1.58, 1.43, 1.50, 1.42 Average of data A: 1.50

Data B: 1.60, 1.59, 1.59, 1.60, 1.62 Average of data B: 1.60

Actual diameter is known to be 1.50 mm.

Whose data is more precise?

a)

A, because the values in his data are close to each other

b)

B, because the values in his data are close to each other

c)

A, because the average value is close to the actual value

d)

B, because the average value is close to the actual value

15.

Which of the following is NOT an example of random error?

a)

Measuring wind velocity depends on the height and time at which a measurement is taken. Multiple readings must be taken and averaged because gusts and changes in direction affect the value.

b)

Readings must be estimated when they fall between marks on a scale or when the thickness of a measurement marking is taken into account.

c)

When taking a volume reading in a flask, you may read the value from a different angle each time.

d)

Measuring length with a metal ruler will give a different result at a cold temperature than at a hot temperature, due to thermal expansion of the material.

16.

How close a measurement is to the true value is called..

a)

Accuracy

b)

Precision

c)

Significant

d)

Estimate

17.
When a measurement is repeatable and consistent it is said to have...
a)
High precision
b)
Low precision
c)
High accuracy
d)
Low accuracy
18.
?
a)
High Accuracy & High Precision
b)
High Accuracy & Low Precision
c)
Low Accuracy & High Precision
d)
Low Accuracy & Low Precision
19.
Which is the more precise measurement?
a)
4 mL
b)
4.3 mL
20.
The attendance for the basketball game was estimated to be 15,000 people but 12,500 people attended. What was the percent error?
a)
16.67%
b)
20%
c)
2500%
d)
80%
21.

The students measured length during a science experiment, they got 12 cm. But the actual measurement was 14.25 cm. What was the percent error?

a)

15.79%

b)

18.75%

c)

2.25%

d)

18%

22.
What is wrong with reporting a length of 22.4072643 cm using a common ruler?
a)
The percent error is too high
b)
There are not enough significant figures
c)
There are too many significant figures
d)
There is nothing wrong with this measurement
23.
This measurement, 340 inches, has how many significant figures?
a)
1
b)
2
c)
3
24.
This measurement, 340. inches, has how many significant figures?
a)
1
b)
2
c)
3
25.
If you add the measurements 10.2,  9.5, 10.5, and 10.3, how many digits should be displayed to the right of the decimal point in the answer?
a)
0
b)
1
c)
2
d)
As many as needed
26.
If you multiply the numbers 2.5 and 10.0, how many digits should be shown in the answer?
a)
0
b)
1
c)
2
d)
As many as needed
27.

The formula for wave speed is wavelength x frequency. As long as the wave speed stays the same, If wavelength increases, frequency decreases. We say that wavelength and frequency have a(n) ___ ___

a)

Linear relationship

b)

Inverse relationship

c)

Quadratic relationship

28.

According to Newton's Second Law of Motion, if you increase the mass of an object, the force required to accelerate it increases at the same rate. We say that force and mass have a(n) ___ ___

a)

Linear relationship

b)

Inverse relationship

c)

Quadratic relationship

29.

Temperature of water falls from 60+1 Degree to 25+1 degree. What is the percentage error in fall in temperature?

a)

5.7%

b)

2.9%

c)

2.4%

d)

1.2%

30.

Accuracy of a measurement depends on

a)

Resolution of the instruments

b)

Skill of the measuring person

c)

Environmental conditions

d)

Care with which the measurements are done

e)

All of the above

31.

Magnitude of difference between individual and true value of the quantity

a)

Gross error

b)

Percentage error

c)

Relative error

d)

Absolute error

32.

Percentage error is

a)

Relative error / 1oo

b)

Relative error x 1oo

c)

Absolute error x100

d)

Absolute error / 100

33.

Number of significant figures in 4.0200 is

a)

5

b)

4

c)

3

d)

2

34.

Number of significant figures in 0.009407 is

a)

7

b)

6

c)

4

d)

3

35.

Number obtained after rounding 6.7835 to 3 decimal points is

a)

6.783

b)

6.784

36.

3.536+ 2.16 =

a)

5.606

b)

5.69

c)

5.70

d)

5.696

37.

2.6938 m x 6.79 m =

a)

18.290902 m2

b)

18.291 m2

c)

18.29 m2

d)

18.3 m2

38.

What is the name of the process that is the comparison between a standard and a physical quantity to produce numeric value.

a)

Measurement

b)

SI Unit

c)

Sensing

d)

Inquiry

39.

What type of error is shown in the picture above?

a)

Systematic

b)

Random

40.

What kind of the error arise when improper reading of the instrument due to the improper position of the person's head or eye?

a)

Systematic

b)

Random

41.

The errors that result in obtaining different measured values when repeated measures of a physical quantity are taken are called:

a)

Systematic

b)

Random

42.

Which type of the error can be avoided and corrected?

a)

Systematic

b)

Random