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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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12 questions

SA-IAL-P1-DF-0022 marksL1 FoundationCalculatorPower rule
Given y=(2x+5)(x−1)y=(2x+5)(x-1), find dydx\dfrac{dy}{dx}.

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-P1-DF1-0011 markL1 FoundationNon-calculatorPower rule
Given y=5x4y=5x^4, find dydx\dfrac{dy}{dx}.

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-P1-DF1-0022 marksL1 FoundationNon-calculatorPower rule
Given y=3xy=\dfrac3x, find dydx\dfrac{dy}{dx}.

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-P1-DF1-0032 marksL1 FoundationNon-calculatorPower rule
Given y=xxy=x\sqrt x, find dydx\dfrac{dy}{dx}.

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-P1-DF1-0051 markL1 FoundationCalculatorFirst principles
The gradient of the tangent to a curve at a point is
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-P1-DF-G012 marksL1 FoundationCalculatorPower rule
Given y=4x3−5x2+2y=4x^3-5x^2+2, find dydx\dfrac{dy}{dx}.

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-P1-DF-Q011 markL1 FoundationCalculatorPower rule
ddx(1x)=\dfrac{d}{dx}\left(\dfrac1x\right)=
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-P1-DF-Q031 markL1 FoundationCalculatorPower rule
ddx(7)=\dfrac{d}{dx}(7)=
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-P1-DF-0013 marksL2 StandardCalculatorPower rule
Given y=6x+2x2y=6\sqrt x+\dfrac{2}{x^2}, find dydx\dfrac{dy}{dx}.

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-P1-DF-0102 marksL2 StandardCalculatorFirst principles
On the curve y=x2y=x^2, find the gradient of the chord from the point where x=2x=2 to the point where x=2.1x=2.1. (As the second point moves towards the first, this tends to the gradient of the tangent, 44.)

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-P1-DF1-0042 marksL2 StandardNon-calculatorFirst principles
On y=x2y=x^2, find the gradient of the chord from x=3x=3 to x=3.01x=3.01.

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-P1-DF-0034 marksL3 ExamCalculatorPower rule
Given y=x2+3xy=\dfrac{x^2+3}{\sqrt x}, find dydx\dfrac{dy}{dx}.

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Salam Academy Original Practice · Proposed mark scheme