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significant figures and calculations

Total questions: 15

Worksheet time: 8mins

Name
Class
Date
1.
How many significant figures will be in the answer to the following question:
7.62 x 6.98 x 3.2645
a)
1
b)
2
c)
3
d)
4
2.
Calculate 12.34 + 1.234 + 0.1234
a)
13.6974
b)
13.697
c)
13.70
d)
13.7
3.
Calculate 12.34 + 1.234 + 0.1234 and give your answer with the appropriate number of significant figures.
a)
13.6974
b)
13.697
c)
13.70
d)
13.7
4.

7.8 x 5.501

a)

42.9078

b)

42.908

c)

42.91

d)

42.9

e)

43

5.

5.40 x 7.90

a)

42.66

b)

42.7

c)

43

d)

40

6.

What is 78.5 rounded to one significant figure?

a)

79

b)

78.5

c)

70

d)

80

7.

In division and multiplication, the answer should have the same number of significant figures as the

a)

number in the calculation with the fewest significant figures.

b)

number in the calculation with the most significant figures.

c)

average number of significant figures in the calculation.

d)

total number of significant figures in the calculation.

8.

The number of significant figures in the measurement 170.040 km is

a)

three

b)

four

c)

five

d)

six

9.

The dimensions of rectangular solid are measured to be 1.27 cm, 1.3 cm, and 2.5 cm. The volume should be recorded as

a)

4.128 cm3.

b)

4.12 cm3.

c)

4.13 cm3.

d)

4.1 cm3.

10.

Samples with masses of 0.12 g, 1.8 g, and 0.562 g are mixed together. The combined mass of the three samples, expressed to the correct number of significant figures, should be recorded as

a)

2.4 g.

b)

2.48 g.

c)

2.482 g.

d)

2.5 g.

11.

Select the measurement with the correct number of significant figures.

a)

6 cm

b)

6.770 cm

c)

6.77 cm

d)

6.775 cm

12.

How many significant figures are in the following measurement?

1052.8 km

a)

5 significant figures

b)

3 significant figures

c)

10 significant figures

d)

2 significant figures

e)

4 significant figures

13.

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

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.

What is precision in the context of scientific measurement?

a)

The consistency of a set of measurements and the extent to which they are clustered together.

b)

The extent to which a set of measurements aligns itself with the established true value.

c)

A change in the direction of the rotational axis for a given case of rotational motion.

d)

The number of reliably known digits in a given measurement.