Graphs of functions: past paper questions

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• Question 22May/June 2026, paper 12Structured4 marksHas a diagram

  The diagram shows a sketch of the graph of $y=a^x+b$.

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• Question 22Oct/Nov 2025, paper 11Structured10 marks

  The table shows some values for $y=x^3-3x+2$. Complete the table.

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• Question 3Oct/Nov 2024, paper 21Structured9 marks

  Complete the table for $y=4+2x-\frac{x^2}{2}$.

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• Question 6Oct/Nov 2023, paper 21Structured10 marksHas a diagram

  $ABCD$ is a rectangle with area $30{\text{ cm}}^2$. $AB=x\text{ cm}$. Rectangle $DEFG$ is removed from the corner of rectangle $ABCD$.

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• Question 15Oct/Nov 2025, paper 12Structured10 marks

  Complete the table for $y=x^3-4x^2+12$.

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• Question 6Oct/Nov 2024, paper 22Structured10 marks

  Complete the table for $y=\frac{x}{4}(2x^2-x-10)$.

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• Question 6Oct/Nov 2023, paper 22Structured10 marksHas a diagram

  Complete the table for $y=\frac{4^x}{10}$.

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• Question 19May/June 2025, paper 22Structured8 marksHas a diagram

  Complete the table of values for $y=x^3-5x+4$.

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• Question 22May/June 2024, paper 12Structured5 marksHas a diagram

  The diagram shows the graph of $y=\frac{1}{x}+\frac{x}{2}$. By drawing a tangent, estimate the gradient of the curve when $x=2$.

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• Question 1May/June 2023, paper 21Structured9 marksHas a diagram

  A cuboid has dimensions $x\text{ cm}$, $(5-x)\text{ cm}$ and $15\text{ cm}$. Show that the equation for the volume of the cuboid, $y{\text{ cm}}^3$, is $y=75x-15x^2$.

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• Question 8May/June 2024, paper 21Structured11 marksHas a diagram

  Complete the table for $y=\frac{2^x}{5}$.

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• Question 4May/June 2023, paper 22Structured12 marks

  Complete the table of values for $y=\frac{2^x}{5}$.

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