Paper 1H June 2025 Higher tier, Question 12 3 marks
12Express 
as a single fraction in its simplest form.
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Edexcel IGCSE Maths
Topic questions Pure mathematics Rational expressions
Rational expressions
16 questions · 73 marks · about 1.5 hours
Rational expressions questions
TopicRational expressions▾
Edexcel 4MA1 Rational expressions 16 questions
Paper 2H June 2025 Higher tier, Question 23 4 marks
Find the value of p
Show clear algebraic working.
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Paper 1H June 2024 Higher tier, Question 12 5 marks
(a)
[2]
Factorise fully 6y2 – 5y – 4
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(b)
[3]
Express 
as a single fraction in its simplest form.
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Paper 2H November 2023 Higher tier, Question 24 5 marks
Show clear algebraic working.
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Paper 1H June 2023 (R) Higher tier, Question 23 4 marks
Also involves Factor and remainder theorem
Give your answer in the form 
where a, b and c are integers.
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Paper 2H January 2023 (R) Higher tier, Question 26 4 marks
Write
as a single fraction in its simplest form.
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Paper 1H June 2022 Higher tier, Question 11 5 marks
Also involves Simplifying and manipulating expressions
(a)
[2]
Factorise 9x2 − 4y2
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(b)
[3]
Express 
as a single fraction in its simplest form.
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Paper 2H June 2022 (R) Higher tier, Question 23 3 marks
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Paper 1H January 2021 Higher tier, Question 12 6 marks
(a)
[3]
Give your answer in its simplest form.
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(b)
[3]
Expand and simplify 2x(x – 5)(x – 3)
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Paper 2H January 2021 (R) Higher tier, Question 18 5 marks
Solve the equation
Show clear algebraic working.
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Paper 2H January 2021 (R) Higher tier, Question 21 6 marks
Also involves Probability
A bag contains n beads. 6 of the beads are red and the rest are blue.
Ravi is going to take at random 2 beads from the bag. The probability that the 2 beads will be of the same colour is 
Using algebra, and showing each stage of your working, calculate the value of n.
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Paper 1H November 2020 Higher tier, Question 21 5 marks
Also involves Quadratic equations · Factors, multiples and primes
Express
as a single fraction in its simplest form.
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Paper 1H November 2020 (R) Higher tier, Question 23 4 marks
In a bag, there are only
3 blue beads 4 white beads and x orange beads.
Jean is going to take at random two beads from the bag. The probability that Jean will take two beads of the same colour is 
Find the total number of beads in the bag. Show clear algebraic working.
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Paper 2H January 2020 (R) Higher tier, Question 21 7 marks
Also involves Quadratic equations
(a)
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(b)
[4]
Find an expression for n in terms of y. Show clear algebraic working and simplify your expression.
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Paper 2H June 2019 Higher tier, Question 22 3 marks
Also involves Quadratic equations
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Paper 2H June 2018 (R) Higher tier, Question 22 4 marks
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