IGCSE Mathematics 0580, topic E2.11

Sketching curves: past paper questions

12 Cambridge IGCSE Mathematics 0580 questions on Sketching curves (E2.11) from 11 papers, 2023 to 2026. Open the paper or try a question free.

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Questions: 12
Papers: 11
Years: 2023 to 2026
Total marks: 94
Average per question: 7.8 marks
Largest question: 19 marks

By type: Structured 12

How hard the questions are

Recall2
Apply10
Analyse0
Not banded0

Derived from the command word Cambridge prints in each question, banded by a fixed table beside the syllabus's own definitions. A question printing no command word is unbanded: unknown, not middling.

Command words

findApply7 questions
sketchApply7 questions
make a simple freehand drawing showing the key features
solveApply3 questions
writeRecall3 questions
give an answer in a specific form
write downRecall3 questions
give an answer without significant working
show thatApply1 question

Where the questions come from

By year

20263
20254
20243
20232

By session

May/June7
Oct/Nov5

By paper

Paper 28
Paper 44

Questions on this topic

Showing 10 of 12, spread across the years. Open one to write your answer and have it marked.

Question 24May/June 2026, paper 21Structured9 marks
Find the coordinates of the turning points of the graph of $y = x^{3} - 6 x^{2} + 7$ .
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Question 23Oct/Nov 2025, paper 21Structured4 marks
Find the coordinates of the turning point on the graph of $y = 7 - 2 x - x^{2}$ .
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Question 8May/June 2023, paper 42Structured13 marks
Show that the equation $y = (x - 4) (x + 1) (x - 2)$ can be written as $y = x^{3} - 5 x^{2} + 2 x + 8$ .
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Question 21May/June 2026, paper 22Structured3 marks
Write $x^{2} + 8 x - 7$ in the form $(x + a)^{2} + b$ where $a$ and $b$ are integers.
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Question 22May/June 2024, paper 22Structured7 marksHas a diagram
For each sketch, put a ring around the correct type of function shown.
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Question 7May/June 2023, paper 43Structured10 marksHas a diagram
The diagram shows the graph of a function. Put a ring around the word which correctly identifies the type of function. reciprocal quadratic cubic exponential linear
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Question 26May/June 2026, paper 23Structured4 marks
Write $3 x^{2} - 6 x + 5$ in the form $a (x + b)^{2} + c$ .
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Question 22Oct/Nov 2025, paper 22Structured3 marks
A graph with equation $y = x^{2} + b x + c$ has a minimum point at $(- 5, 12)$ . Find the value of $b$ and the value of $c$ .
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Question 8May/June 2024, paper 41Structured15 marks
On the axes, sketch the graph of $y = x^{2} + 7 x - 18$ .
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Question 14Oct/Nov 2025, paper 23Structured2 marks
The minimum point on a quadratic curve is $(- 3, - 5)$ . Find the equation of the line of symmetry of the curve.
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