Unit 1: Number and Algebra
Topic 1.11: Partial fractions (HL only) Questions
Practice 20 exam-style questions for IB Math AA SL Topic 1.11. Review the question stems below, then unlock the full Question Bank to access markschemes, model answers, and AI grading.
11 mark
2026
To find B in (2x + 1)/[(x + 3)(x − 1)] = A/(x + 3) + B/(x − 1), substitute:
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2026
Express (2x + 5)/[(x + 1)(x + 4)] in partial fractions.
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2026
Which fraction can be split using TWO simple partial fractions A/(…) + B/(…)?
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2026
Express 9/[(x − 1)(x + 2)] in partial fractions.
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2026
Factorise the denominator of (x − 1)/(x² − 5x + 6).
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2026
After clearing fractions in (x + 4)/[(x − 1)(x + 2)] = A/(x − 1) + B/(x + 2), the identity is:
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2026
Which fraction must be DIVIDED before it can be split?
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2026
Express (x + 6)/(x² − 9) in partial fractions.
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2026
In (x + 4)/[(x − 1)(x + 2)] = A/(x − 1) + B/(x + 2), find A.
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2026
Express (x − 8)/[(x − 2)(x + 1)] in partial fractions.
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2026
Express 5/[(x)(x − 5)] in partial fractions.
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2026
Express (4x − 1)/(x² − x − 2) in partial fractions.
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2026
Express (3x + 1)/[(x − 1)(x + 2)] in partial fractions.
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2026
Express (2x − 3)/(x² + 2x) in partial fractions.
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2026
Express (5x)/(x² − x) in partial fractions.
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2026
To find A and B by EQUATING COEFFICIENTS in 3x + 1 = A(x − 1) + B(x + 2), you:
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2026
Express (8 − x)/(x² + 2x − 8) in partial fractions.
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