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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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13 questions

SA-4024-AL-0161 markL1 FoundationNon-calculatorInverses
f(x)=2x+13f(x)=\dfrac{2x+1}{3}. Find f−1(5)f^{-1}(5).

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL12-0011 markL1 FoundationNon-calculatorFunctions
f(x)=x2−3f(x)=x^2-3. Find f(−2)f(-2).

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL12-0022 marksL1 FoundationNon-calculatorFunctions
f(x)=5−2xf(x)=5-2x. Solve f(x)=11f(x)=11.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL4-0031 markL1 FoundationCalculatorFunctions
f(x)=2x+5f(x)=2x+5. Find f(3)f(3).

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL-Q031 markL1 FoundationCalculatorFunctions
fg(x)fg(x) means
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL-0143 marksL2 StandardNon-calculatorFunctions
f(x)=3x−2f(x)=3x-2 and g(x)=x2+1g(x)=x^2+1. Find (a) fg(2)fg(2) (b) gf(2)gf(2).

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL-0152 marksL2 StandardNon-calculatorInverses
f(x)=2x+13f(x)=\dfrac{2x+1}{3}. Find f−1(x)f^{-1}(x).

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL12-0032 marksL2 StandardNon-calculatorFunctions
f(x)=3x+1f(x)=3x+1 and g(x)=x−4g(x)=x-4. Find gf(2)gf(2).

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL12-0042 marksL2 StandardNon-calculatorInverses
f(x)=x+42f(x)=\dfrac{x+4}2. Find f−1(3)f^{-1}(3).

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL12-0052 marksL2 StandardNon-calculatorFunctions
f(x)=2x−1f(x)=2x-1. Find ff(3)ff(3).

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL4-0042 marksL2 StandardCalculatorInverses
f(x)=4x−3f(x)=4x-3. Find f−1(9)f^{-1}(9).

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL4-0062 marksL2 StandardCalculatorFunctions
f(x)=x2f(x)=x^2 and g(x)=x+3g(x)=x+3. Find fg(−1)fg(-1).

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL12-0063 marksL3 ExamNon-calculatorInverses
f(x)=1x−2f(x)=\dfrac{1}{x-2}. (a) Which value of xx must be excluded from the domain? (b) Find f−1 ⁣(14)f^{-1}\!\left(\tfrac14\right).

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Salam Academy Original Practice · Proposed mark scheme