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Sig Figs & Measurements

Total questions: 25

Worksheet time: 13mins

Name
Class
Date
1.

How many sig figs?

21.10 cm

a)

4

b)

3

c)

2

d)

1

2.

What are significant figures?

a)

They are the reliably known digits that a measurement contains.

b)

They are diagrams representing significant atoms and molecules.

c)

They are measurements which are important to everyday life.

d)

They are units of measurement in the International System of Units.

3.

Select the measurement with the correct number of significant figures.

a)

8.250

b)

8.25

c)

8.2

d)

8

4.

Select the measurement with the correct number of significant figures.

a)

6 cm

b)

6.770 cm

c)

6.7 cm

d)

6.775 cm

5.

How many significant figures are in the following measurement?

500 mL

a)

At least 1 significant figure

b)

3 significant figures

c)

2 significant figures

d)

5 significant figures

e)

4 significant figures

6.

How many significant figures are in the following measurement?

5.0 × 102 s

a)

5 significant figures

b)

3 significant figures

c)

1 significant figure

d)

2 significant figures

e)

0 significant figures

7.

What is the following measurement rounded to 3 significant figures?

6.589 cm

a)

6.59 cm

b)

6.58 cm

c)

6.589 cm

d)

6.60 cm

e)

6.5 cm

8.

What is the following measurement rounded to 3 significant figures?

584.49 s

a)

584.4 s

b)

585 s

c)

584.5 s

d)

584 s

e)

580 s

9.

What is the following measurement rounded to 5 significant figures?

787.985 kg

a)

788 kg

b)

787.98 kg

c)

787.99 kg

d)

788.00 kg

10.

How many significant figures are in the result for the following calculation?

6.08 kg×5.0 ms6.08\ kg\times5.0\ \frac{m}{s}  

a)

3 significant figures

b)

1 significant figure

c)

2 significant figures

d)

4 significant figures

e)

5 significant figures

11.

How many significant figures are in the result for the following calculation?

65.3 J50.085 s\frac{65.3\ J}{50.085\ s}  

a)

5 significant figures

b)

2 significant figures

c)

1 significant figure

d)

3 significant figures

12.

What is the result for the following calculation? Ensure that the correct number of significant figures are included in the calculated result.

25.085 m + 16.2 m25.085\ m\ +\ 16.2\ m  

a)

41.3 m

b)

41.2085 m

c)

41.285 m

d)

41.2 m

13.

What is the result of the following calculation? Ensure that the correct number of significant figures are included in the calculated result.

12.582 s  5.23 s12.582\ s\ -\ 5.23\ s  

a)

7.360 s

b)

7.36 s

c)

7.35 s

d)

7.352 s

e)

7.350 s

14.

Which set of measurements demonstrates accuracy and precision if the true value is equal to 25.0 cm?

a)

19.9 cm

20.0 cm

20.0 cm

20.1 cm

20.2 cm

b)

24.8 cm

24.9 cm

25.0 cm

25.0 cm

25.1 cm

c)

17.2 cm

18.9 cm

19.8 cm

20.0 cm

22.0 cm

d)

23.5 cm

24.9 cm

25.0 cm

26.3 cm

26.5 cm

15.

For significant figures, which term is the limiting term in the following calculation?

17.2 g + 9 g + 36.333 g + 0.58 g17.2\ g\ +\ 9\ g\ +\ 36.333\ g\ +\ 0.58\ g  

a)

17.2 g

b)

9 g

c)

36.33 g

d)

0.58 g

16.

Acceleration of gravity has a magnitude of 9.8 ms29.8\ \frac{m}{s^2}  

a)

A

b)

B

c)

C

d)

D

17.

The resistance R of a resistor is determined by measuring the potential difference V across it and the current I in it. The value of R is then calculated using the equation

R=VIR=\frac{V}{I}  .
The values measured are V = 1.00 ± 0.05 V and I = 0.50 ± 0.01 A. What is the % uncertainty in the value of R?

a)

2.5 %

b)

3.0 %

c)

7.0 %

d)

10.0 %

18.

In an experiment, a radio-controlled car takes 2.50 ± 0.05 s to travel 40.0 ± 0.1 m.


What is the car’s average speed and the uncertainty in this value?

a)

16 ± 1m s-1

b)

16.0 ± 0.2 m s-1

c)

16.0 ± 0.4 m s-1

d)

16.00 ± 0.36 m s-1

19.

A digital caliper is used to measure the 28.50 mm width of a plastic ruler. The digital caliper reads to the nearest 0.01 mm.


What is the correct way to record this reading?

a)

0.02850 ± 0.01 m

b)

0.0285 ± 0.001 m

c)

(2.850 ± 0.001) × 10-2 m

d)

(2.850 ± 0.001) × 10-3 m

20.

The first length measured in a laboratory experiment is 2.5 + 0.1 m and the second length 3.4 + 0.1 m. What is the uncertainty of the sum of the lengths?

a)

0.1 m

b)

0.2 m

c)

0.3 m

d)

0.4 m

21.

A quantity x is to be determined from the equation


x = P-Q.


P is measured as 1.27 ± 0.02 m and Q is measured as 0.83 ± 0.01 m.


What is the percentage uncertainty in x to one significant figure?

a)

0.4 %

b)

2 %

c)

3 %

d)

7 %

22.
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
23.

According to the uncertainty, which value is a possible correct measurement of the pink bar?

a)

56 cm

b)

5.6 cm

c)

56.5 cm

d)

5.64 cm

24.

How many uncertain digits should the measurement of the pink bar have?

a)

3

b)

2

c)

1

d)

0

25.

Which measuring device is the most precise?

a)

metric side

(cm)

b)

customary side

(inches)

c)

Neither is precise

d)

They are equally precise