Unit 1: Number and Algebra
Topic 1.10: Non-integer exponents (HL only) Questions
Practice 11 exam-style questions for IB Math AI SL Topic 1.10. Review the question stems below, then unlock the full Question Bank to access markschemes, model answers, and AI grading.
5Find3 marks
2026
An allometric model gives an animal's metabolic rate as R = 12 m3/4 (R in watts, m in kg). Find R for a 16 kg animal.
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2026
A quantity is modelled by Q = 100 × 2⁻ᵗ. As t increases, Q:
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Unlock Question8Evaluate2 marks
2026
Evaluate 5⁻² + 2⁻¹, giving your answer as an exact fraction.
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Unlock Question10Simplify3 marks
2026
Simplify (x1/2 × x3/2) / x², giving your answer as a power of x.
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Unlock Question11Solve3 marks
2026
Solve x2/3 = 9 for x > 0, giving an exact answer.
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