IGCSE Mathematics 0580, topic E2.13

Functions: past paper questions

22 Cambridge IGCSE Mathematics 0580 questions on Functions (E2.13) from 22 papers, 2023 to 2026. Open the paper or try a question free.

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Questions: 22
Papers: 22
Years: 2023 to 2026
Total marks: 192
Average per question: 8.7 marks
Largest question: 19 marks

By type: Structured 22

How hard the questions are

Recall0
Apply21
Analyse0
Not banded1

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

findApply21 questions
solveApply4 questions
giveRecall2 questions
produce an answer from a given source or recall/memory
sketchApply1 question
make a simple freehand drawing showing the key features
writeRecall1 question
give an answer in a specific form
write downRecall1 question
give an answer without significant working

Where the questions come from

By year

20262
20257
20247
20236

By session

May/June11
Oct/Nov11

By paper

Paper 28
Paper 414

Questions on this topic

Showing 6 of 22, spread across the years. Open one to write your answer and have it marked.

Question 18Oct/Nov 2025, paper 21Structured4 marks
$f (x) = 2 x + 5$ $f (x) f (x) - f f (x) = a x^{2} + b x + c$ Find the value of $a$ , the value of $b$ and the value of $c$ .
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Question 18Oct/Nov 2024, paper 21Structured3 marks
$g (x) = 4^{x + 3}$ Find $x$ when $g (x) = 1$ .
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Question 28Oct/Nov 2025, paper 41Structured3 marks
$f (x) = 7^{x - 4}$ Find the value of $x$ when $f (x) = 1$
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Question 14May/June 2023, paper 22Structured2 marks
$f (x) = 5 x + 2$ Find $f^{- 1} (x)$ .
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Question 20May/June 2024, paper 23Structured4 marks
$f (x) = 3^{x} + 2$ Find $x$ when $f (x) = 245$ .
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Question 7May/June 2024, paper 42Structured11 marks
Solve $3 x - 8 = 6 - 4 x$ .
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