Unit 1: Number and Algebra

Topic 1.6: Laws of Exponents and Logarithms Questions

Practice 20 exam-style questions for IB Math AI SL Topic 1.6. Review the question stems below, then unlock the full Question Bank to access markschemes, model answers, and AI grading.

1State2 marks
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Which estimate is better: 6% error or 11% error? Explain briefly.
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2State1 mark
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Which quantity is exact?
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3Find2 marks
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Measured 95, actual 100. Find the percentage error.
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4Find2 marks
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Measured 18, actual 20. Find the percentage error.
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5Round2 marks
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Round 18.376 to 1 decimal place.
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6Round2 marks
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Round 0.09137 to 2 significant figures.
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7State1 mark
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Round 0.00581 to 2 significant figures.
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8State2 marks
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State which is more accurate: relative error 0.03 or 0.12.
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9State1 mark
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What does 3 significant figures mean?
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10State1 mark
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Round 7.846 to 2 decimal places.
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11State1 mark
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Measured 9.8, actual 10.0. What is the absolute error?
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12State1 mark
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Which formula is relative error?
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13State1 mark
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Which is more accurate?
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14State1 mark
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A relative error of 0.05 is what as a percentage?
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15State1 mark
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Round 5384 to 2 significant figures.
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16Find2 marks
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Measured 15.2, actual 15.0. Find the absolute error.
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17Find2 marks
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Absolute error is 0.4 and actual value is 20. Find the relative error.
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18Write2 marks
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A calculator gives 12.4987. Write it to 3 significant figures.
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19Find3 marks
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Measured 51, actual 50. Find the percentage error.
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20State2 marks
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A student gets percentage error 0.7%. Is this more or less accurate than 5%?
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