Unit 1: Number and Algebra

Topic 1.1: Number Operations and Approximation Questions

Practice 20 exam-style questions for IB Math AI SL Topic 1.1. Review the question stems below, then unlock the full Question Bank to access markschemes, model answers, and AI grading.

1calculate3 marks
A factory makes 2.5 × 10³ boxes each day for 4.0 × 10² days.
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2write1 mark
Write 2.4 × 10⁶ as an ordinary number.
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3calculate3 marks
A tank contains 6.8 × 10⁶ L of water. During a dry week, 2.3 × 10⁶ L are used.
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4identify1 mark
Which of the following correctly writes 0.00073 in standard form?
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5identify1 mark
Which statement is always true for a number written as a × 10ⁿ in standard form?
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6explain1 mark
Explain why 0.72 × 10⁴ is not valid standard form.
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7calculate3 marks
A machine prints 4.5 × 10³ labels each hour for 2.0 × 10² hours.
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8write1 mark
Rewrite 0.72 × 10⁴ in valid standard form.
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9write1 mark
Write 9.05 × 10⁻⁴ as an ordinary number.
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10write1 mark
Write 1.07 × 10³ as an ordinary number.
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11identify1 mark
Which of the following correctly writes 6 200 000 in standard form?
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12write1 mark
A stadium holds 7.25 × 10⁴ people. Write this as an ordinary number.
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13write1 mark
Express 7.2 × 10⁻³ as an ordinary number.
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14identify1 mark
Which is written in valid standard form?
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15identify1 mark
Which of the following correctly writes 73 000 000 in standard form?
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16write2 marks
A science sensor records a bacterium length as 4.1 × 10⁻⁵ m.
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17write1 mark
Write 3.08 × 10⁵ as an ordinary number.
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18write1 mark
Write 6.4 × 10⁻³ as an ordinary number.
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19write3 marks
A calculator screen shows 24.6 × 10⁴ after a calculation.
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20write1 mark
A grain of dust has width 8.6 × 10⁻⁶ m. Write this as an ordinary number.
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