O Level Mathematics 4024, topic 2.3

Algebraic fractions: past paper questions

22 Cambridge O Level Mathematics 4024 questions on Algebraic fractions (2.3) from 18 papers, 2023 to 2026. Open the paper or try a question free.

Practise this topic Try one question free

Practising builds a set from this topic, free with an account. One question opens straight away, with no account.

Questions: 22
Papers: 18
Years: 2023 to 2026
Total marks: 155
Average per question: 7 marks
Largest question: 16 marks

By type: Structured 22

How hard the questions are

Recall2
Apply13
Analyse0
Not banded7

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

solveApply12 questions
writeRecall6 questions
give an answer in a specific form
findApply5 questions
show thatApply2 questions
giveRecall1 question
produce an answer from a given source or recall/memory
useApply1 question
work outApply1 question
calculate from given facts, figures or information with or without the use of a calculator
write downRecall1 question
give an answer without significant working

Where the questions come from

By year

20262
20257
20246
20237

By session

May/June7
Oct/Nov15

By paper

Paper 19
Paper 213

Questions on this topic

Showing 14 of 22, spread across the years. Open one to write your answer and have it marked.

Question 21May/June 2026, paper 12Structured4 marks
Write as a single fraction in its simplest form.
Try this question
Question 24Oct/Nov 2024, paper 11Structured3 marks
Simplify. $\frac{2 x^{2} + 5 x - 3}{2 x^{2} + 6 x}$ Simplify.
Try this question
Question 21May/June 2026, paper 22Structured4 marks
Simplify. $\frac{8}{32 x}$
Try this question
Question 22Oct/Nov 2025, paper 12Structured10 marks
Ade and Maha make cards. One day they each work for 4 hours making cards. Ade takes $x$ minutes to make one card.
Try this question
Question 26Oct/Nov 2024, paper 11Structured4 marks
Solve. $\frac{x}{x - 1} - \frac{3}{2 x - 1} = 1$ Solve.
Try this question
Question 24Oct/Nov 2023, paper 11Structured4 marks
Solve $\frac{3 x}{x + 1} - \frac{2}{x - 1} = 3$ .
Try this question
Question 5Oct/Nov 2024, paper 21Structured13 marks
Solve. $\frac{y}{4} = 8$
Try this question
Question 19Oct/Nov 2023, paper 12Structured2 marks
Express as a single fraction in its simplest form.
Try this question
Question 23Oct/Nov 2025, paper 21Structured4 marks
Solve. x/(x + 3) - 4/(x - 5) = 1 Solve.
Try this question
Question 10Oct/Nov 2024, paper 21Structured10 marks
Bag A contains red balls and green balls. The total number of balls in the bag is $x$ . The number of green balls in the bag is 6 more than the number of red balls.
Try this question
Question 21Oct/Nov 2025, paper 22Structured6 marks
Solve the equation.
Try this question
Question 7Oct/Nov 2024, paper 22Structured13 marks
Solve. $4 x + 7 = 16$
Try this question
Question 19May/June 2025, paper 12Structured4 marks
Simplify. $\frac{3 x^{2} - 12}{2 x^{2} + 11 x + 14}$ Simplify.
Try this question
Question 10May/June 2024, paper 21Structured16 marksHas a diagram
$r = \frac{4 p + 3 t}{2}$ Find the value of $p$ when $r = 10$ and $t = - 2$ .
Try this question

More in Algebra and graphs

All O Level Mathematics topics