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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A distance is 15 km correct to nearest km. What is the greatest possible true distance?
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2State1 mark
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Measured 49, actual 50. What is the percentage error?
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3State1 mark
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Round 7.846 to 2 decimal places.
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4State1 mark
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Round 0.00581 to 2 significant figures.
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5Round2 marks
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Round 18.376 to 1 decimal place.
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6State1 mark
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Which quantity is exact?
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7State1 mark
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Which formula is relative error?
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8State1 mark
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Round 5384 to 2 significant figures.
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9State1 mark
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A relative error of 0.05 is what as a percentage?
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10State1 mark
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What does 3 significant figures mean?
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11Find2 marks
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Measured 95, actual 100. Find the percentage error.
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12State2 marks
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Which estimate is better: 6% error or 11% error? Explain briefly.
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13State1 mark
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Measured 9.8, actual 10.0. What is the absolute error?
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14State1 mark
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A value is 4.7 correct to 1 decimal place. What is the lower bound?
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15State1 mark
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A value is 230 correct to 2 significant figures. What is the upper bound?
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16State1 mark
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Which interval matches 8 cm correct to nearest cm?
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17State1 mark
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A time is 2.3 s correct to 1 decimal place. What is the upper bound?
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18State1 mark
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Which is more accurate?
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19Write2 marks
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A length is 9.6 cm correct to 1 decimal place. Write the bounds.
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20State1 mark
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Which percentage error is more accurate?
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