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Significant Figures Questions

The document contains a total of 150 mixed questions focusing on significant figures, rounding off, and calculation rules. It includes 50 previous year questions from BYJU’s, 10 from ExamSIDE JEE Main, and 90 AI-generated questions. The questions cover various operations such as addition, subtraction, multiplication, and division, as well as inquiries about the number of significant figures in different numerical formats.

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Raghavendra Vernekar
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100 views3 pages

Significant Figures Questions

The document contains a total of 150 mixed questions focusing on significant figures, rounding off, and calculation rules. It includes 50 previous year questions from BYJU’s, 10 from ExamSIDE JEE Main, and 90 AI-generated questions. The questions cover various operations such as addition, subtraction, multiplication, and division, as well as inquiries about the number of significant figures in different numerical formats.

Uploaded by

Raghavendra Vernekar
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Mixed Questions on Significant Figures, Rounding Off, and Calculation Rules (150 Total)

PYQs (50) from BYJU’s Significant Figures Practice:


1. Round 119.902 to the tenths place according to significant-figure rules.
2. Round 201.867 to the hundredths place according to significant-figure rules.
3. Calculate 76.4 × 180.4 and report in correct sig figs.
4. Calculate 934.9 ÷ 0.00455 and report in correct sig figs.
5. Round 4.7475 to 4 significant figures.
6. Round 4.7465 to 4 significant figures.
7. How many sig figs in 0.0082 L?
8. How many sig figs should [(1.014 + 0.07)/5.11] have?
9. How many sig figs in 0.00150?
10. Add 1.02 + 8.2 + 3.33 + 9.781 and report with correct decimal places.
11. [(3.4 + 100.33)/(2.5 – 0.11)] → report to correct sig figs.
12. Divide 934.9 by 0.00455 → report to correct sig figs.
13. [(0.05 + 0.123) × (1.02 + 0.9)] → report to correct sig figs.
14. How many sig figs in 23.023, 0.0003 and 2.1 × 10^-3?
15. Round 16.351 to 3 sig figs.
16. Round 6.758 to 3 sig figs.
17. Add 10.23 + 11.234 – 22.1 – 11.2345 and report correctly.
18. Calculate (29.2 – 20.2)(1.79×10^5)/1.37 → correct sig figs.
19. Final result of 10.23 + 11.234 – 22.1 – 11.2345 → what decimal places?
20. How many sig figs in 1001?
21. Determine sig figs in 50000.020 × 10^-3.
22. How many sig figs in 3.250?
23. How many sig figs in 12.650?
24. If 3.750 is rounded → what final?
25. If 16.150 is rounded → what final?
26. Add 12.011 + 0.003 + 0.120 and round properly.
27. Divide 123.45 by 6.7 and report.
28. Multiply 0.00234 × 0.030 and report.
29. Round 5.555 to 3 sig figs.
30. Round 5.545 to 3 sig figs.
31. Sig figs in 45.00?
32. Sig figs in 5400?
33. Sig figs in 0.000?
34. Sig figs in 1.00×10^3?
35. Addition: 1.234 + 0.56 → how many decimal places?
36. Subtraction: 12.0 – 2.345 → how many decimals?
37. Multiplication: 2.3 × 4.56 → how many sig figs?
38. Division: 123.4 ÷ 5.0 → how many sig figs?
39. How many sig figs in 0.07020?
40. Round 7.125 to 3 sig figs.
41. Round 7.135 to 3 sig figs.
42. Sig figs in 6.02×10^23?
43. Sig figs in Avogadro’s number 6.022×10^23 exactly?
44. How many sig figs in 0.090?
45. How many sig figs in 90.0?
46. Round 123.456 to tens place.
47. Round 123.456 to hundreds place.
48. Round 0.012345 to 2 sig figs.
49. Round 0.012345 to 3 sig figs.
50. Add 0.123 + 0.00456 → proper decimal place.

PYQs (10) from ExamSIDE JEE Main:


51. According to significant-figure addition, what is sum of 435.42 g, 226.3 g and 0.125 g?
52. Number of sig figs in 50000020 × 10^-3?
53. What is correct volume of cylinder (12.6 ± 0.1 cm, 34.2 ± 0.1 cm) to sig figs?
54. Least-count measurement fractional error problem (bar dimensions in table).
55. Diameter and height to appropriate sig figs → cylinder volume question.
56. Error propagation: percentage error in z = a^2 x^3 y^{1/2}, x±4%, y±12%.
57. Average reading and standard deviation → report final with correct sig figs.
58. Fractional error in sheet area measured by screw gauge (pitch 0.75 mm, 15 divisions).
59. Least count change when pitch increases by 75% & divisions decrease 50%.
60. Fractional error in measurement of dissipated heat given % errors in R, I, t.

AI-Generated Questions (90):


61. How many sig figs in 0.0045070?
62. Round 9.999 to 3 sig figs.
63. Multiply 7.82 × 0.0045 → report correctly.
64. Divide 0.000567 by 2.3 → proper sig figs.
65. Add 123.4 + 0.0567 → decimal places.
66. Subtract 5.00 – 4.006 → decimal places.
67. Find sig figs in 120.30.
68. Sig figs in 0.00000045.
69. Round 0.08555 to 3 sig figs.
70. Round 12050 to 3 sig figs.
71. If 2.345 + 1.2 + 0.03, round result.
72. If 12.0 – 0.345, round result.
73. 3.14 × 2.0 → how many sig figs?
74. 450.0 ÷ 15.00 → sig figs.
75. How many sig figs in π approximated as 3.1416?
76. Round 0.9999 to 3 sig figs.
77. Round 1.005 to 3 sig figs.
78. Add 0.102 + 0.0003 → decimal places.
79. Multiply 0.500 × 0.0200 → sig figs.
80. Divide 100. → by 3 → sig figs.
81. How many sig figs in 2.0×10^-4?
82. Round 443.235 to 4 sig figs.
83. Round 443.235 to 3 sig figs.
84. What is sig figs in exact count of 12 students?
85. How many decimals in 1.234 + 1.2?
86. Sig figs in 0.450?
87. Simple rounding: 29.995 to 4 sig figs.
88. Simple rounding: 29.995 to 3 sig figs.
89. Add .25 + .3 + 0.125.
90. Multiply .25 × .30 × .125.
91. Subtract .500 – .345.
92. Divide .500/.345.
93. Round 7.0450 to 4 sig figs.
94. Round 7.0450 to 3 sig figs.
95. How many sig figs in 1.000×10^3?
96. How many sig figs in 1.0000×10^3?
97. Add 1.2345 + 2.345 + 3.4 + 4. → decimal places.
98. Subtract 100.0 – 0.1234.
99. Multiply 2.3456 × 3.456.
100. Divide 2.3456/3.456.
101. Explain why 520 has 2 sig figs.
102. Explain why 520. has 3 sig figs.
103. Sig figs in 0.000.
104. Round 0.000567 to 2 sig figs.
105. Round 0.0005670 to 3 sig figs.
106. Add 0.0012 + 0.00034.
107. Multiply 0.0012 × 0.034.
108. Divide 0.0012/0.034.
109. How many sig figs in 600?
110. How many sig figs in 600.0?
111. Add 600 + 1.23.
112. Subtract 600.0 – 1.23.
113. Sig figs in 0.0600.
114. Sig figs in 60.00.
115. Round 5.55555 to 4 sig figs.
116. Round 5.55555 to 5 sig figs.
117. Multiply 123.4 × 1.2.
118. Divide 123.4/1.2.
119. Add 0.005 + 0.0007.
120. Multiply 0.005 × 0.0007.
121. Divide 0.005/0.0007.
122. How many decimal places in 5.67 + 0.123?
123. How many decimal places in 5.67 – 0.123?
124. Multiply 0.067 × 0.0123.
125. Divide 0.067/0.0123.
126. Round 12.34567 to 3 sig figs.
127. Round 12.34567 to 5 sig figs.
128. Why leading zeros aren’t significant?
129. Why trailing zeros without decimal aren’t significant?
130. Why trailing zeros with decimal are significant?
131. What is the result of 2.345 + 6.7?
132. What is result of 2.345 – 6.7?
133. Multiply .00234 × 5.6.
134. Divide .00234/5.6.
135. Sig figs in measurement 0.000120.
136. Round 0.000120 to 2 sig figs.
137. Round 0.000120 to 3 sig figs.
138. Addition rule: 1.234 + 0.056 → how many decimals?
139. Subtraction rule: 9.00 – 1.234 → decimals?
140. Multiplication rule: 3.141 × 2.72.
141. Division rule: 3.141/2.72.
142. Why scientific notation exponents aren’t sig figs?
143. How unit choice doesn’t affect sig figs?
144. What constitutes an exact number?
145. When to round to even on 5?
146. When to round up on 5 followed by non-zeros?
147. Add 1.005 + 2.01.
148. Round 1.005 to 2 sig figs.
149. Round 1.015 to 2 sig figs.
150. Explain rounding rule for 5 at end of number.

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