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Practise

Question bank

Original exam-style questions, mapped to your syllabus. Answers are checked for mathematical equivalence and every attempt updates your mastery.

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14 questions

SA-9709-P3-LE-0012 marksL1 FoundationCalculatoraˣ = b
Solve 3x=203^x=20, giving xx correct to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P3-LE3-G012 marksL1 FoundationCalculatoraˣ = b
Solve 2x=102^x=10, giving xx correct to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P3-LE3-Q011 markL1 FoundationCalculatoraˣ = b
The solution of 7x=127^x=12 is
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P3-LE-0023 marksL2 StandardCalculatoraˣ = b
Solve 2x+1=5x2^{x+1}=5^x, giving xx correct to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P3-LE-0034 marksL2 StandardCalculatorDisguised quadratics
Solve the equation 32x−4(3x)+3=03^{2x}-4\left(3^x\right)+3=0.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P3-LE-0044 marksL2 StandardCalculatorDisguised quadratics
Solve e2x−5ex+6=0e^{2x}-5e^x+6=0, giving your answers in exact form.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P3-LE-0092 marksL2 StandardCalculatorInequalities
The solution of 5x<2005^x<200 is x<cx<c. Find cc correct to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P3-LE3-0013 marksL2 StandardCalculatoraˣ = b
Solve 52x−1=305^{2x-1}=30, giving xx correct to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P3-LE3-0032 marksL2 StandardCalculatorInequalities
The solution of 3x>503^x>50 is x>cx>c. Find cc correct to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P3-LE-0103 marksL3 ExamCalculatorInequalities
Find the smallest integer nn for which (0.8)n<0.1(0.8)^n<0.1.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P3-LE3-0024 marksL3 ExamCalculatorDisguised quadratics
Solve the equation 4x−2x+1−8=04^x-2^{x+1}-8=0.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P3-LE3-0043 marksL3 ExamCalculatorInequalities
Find the smallest integer nn for which 1.05n>21.05^n>2.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P3-LE-0175 marksL4 ChallengingCalculatorDisguised quadratics
Solve ex+12e−x=7e^x+12e^{-x}=7, giving exact answers.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P3-LE-0184 marksL4 ChallengingCalculatorDisguised quadratics
Solve the equation ∣3x−5∣=4\left|3^x-5\right|=4.

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Salam Academy Original Practice · Proposed mark scheme