Simultaneous linear equations: Edexcel International GCSE Maths questions

Every Edexcel International GCSE Maths exam question on 2.6 Simultaneous linear equations, 2019–2025, with its mark scheme and examiner’s report.

All 44 questions on Simultaneous linear equations, as a list

June 2025 (R), Paper 1 Foundation, Q6 (4 marks): Aabir has some boxes and some crates. Each box has the same weight. Each crate has the same weight. The total weight of 7 boxes and 2 crates is 27.3 kg The tota
June 2025 (R), Paper 2 Foundation, Q19 (3 marks): Solve the simultaneous equations x y 3 2 10 x y 3 4 16 Show clear algebraic working. x = y =
June 2025 (R), Paper 2 Higher, Q3 (3 marks): Solve the simultaneous equations x y 3 2 10 x y 3 4 16 Show clear algebraic working. x = y =
June 2025, Paper 1 Higher, Q22 (5 marks): Solve the simultaneous equations 2 + 3y + y 2 = 7 x y = x + 2 Show clear algebraic working.
June 2025, Paper 2 Foundation, Q7 (4 marks): 2 cupcakes and 5 doughnuts cost $4.50 3 cupcakes cost $2.25 Work out the cost of 1 doughnut. $
June 2025, Paper 2 Foundation, Q25 (3 marks): Solve the simultaneous equations 3x + 5y = 8 4x + y = –3.5 Show clear algebraic working. x = y =
June 2025, Paper 2 Higher, Q8 (3 marks): Solve the simultaneous equations 3x + 5y = 8 4x + y = –3.5 Show clear algebraic working. x = y =
June 2024 (R), Paper 1 Higher, Q12 (4 marks): Solve the simultaneous equations 4x + 3y = 9.6 6x + 5y = 16.8 Show clear algebraic working. x = y =
June 2024, Paper 2 Foundation, Q26 (3 marks): Solve the simultaneous equations 6x + 4y = 1 3x + 5y = 8 Show clear algebraic working. x = y =
June 2024, Paper 2 Higher, Q10 (3 marks): Solve the simultaneous equations 6x + 4y = 1 3x + 5y = 8 Show clear algebraic working. x = y =
November 2023, Paper 2 Foundation, Q9 (4 marks): 3 kg of carrots and 5 kg of potatoes cost a total of 207 rand. 2 kg of the carrots cost 48 rand. Work out the cost of 1 kg of potatoes. rand
November 2023, Paper 2 Higher, Q14 (3 marks): Here is the graph of the equation y x 2 1 drawn on a grid. y 5 4 3 2 1 O x −3 −2 −1 1 2 3 4 5 −1 −2 −3 −4 By drawing another straight line on the grid, solve th
June 2023, Paper 1 Foundation, Q24 (3 marks): Solve the simultaneous equations 2x + 9y = 14.5 7x + 3y = 8 Show clear algebraic working. x = y =
June 2023, Paper 1 Higher, Q9 (3 marks): Solve the simultaneous equations 2x + 9y = 14.5 7x + 3y = 8 Show clear algebraic working. x = y =
January 2023 (R), Paper 1 Foundation, Q21 (3 marks): Solve the simultaneous equations x + 2y = 15 4x – 6y = 4 Show clear algebraic working. x = y =
January 2023 (R), Paper 1 Higher, Q6 (3 marks): Solve the simultaneous equations x + 2y = 15 4x – 6y = 4 Show clear algebraic working. x = y =
January 2023, Paper 2 Foundation, Q22 (3 marks): Solve the simultaneous equations 5x + 4y = –2 2x – y = 4.4 Show clear algebraic working. x = y =
January 2023, Paper 2 Higher, Q7 (3 marks): Solve the simultaneous equations 5x + 4y = –2 2x – y = 4.4 Show clear algebraic working. x = y =
June 2022 (R), Paper 1 Higher, Q14 (4 marks): Solve the simultaneous equations 3x – 5y = 25 4x + 3y = 14 Show clear algebraic working. x = y =
June 2022, Paper 2 Foundation, Q26 (3 marks): Solve the simultaneous equations 7x + 3y = 3 3x − y = 7 Show clear algebraic working. x = y =
June 2022, Paper 2 Higher, Q10 (3 marks): Solve the simultaneous equations 7x + 3y = 3 3x − y = 7 Show clear algebraic working. x = y =
January 2022, Paper 2 Foundation, Q25 (3 marks): Solve the simultaneous equations 3x + 5y = 3.1 6x + 3y = 3.75 Show clear algebraic working. x = y =
January 2022, Paper 2 Higher, Q10 (3 marks): Solve the simultaneous equations 3x + 5y = 3.1 6x + 3y = 3.75 Show clear algebraic working. x = y =
November 2021, Paper 1 Foundation, Q17 (5 marks): Yasmin has some identical rectangular tiles. Each tile is L cm by W cm. Diagram NOT L cm accurately drawn W cm Using 9 of her tiles, Yasmin makes rectangle ABCD
November 2021, Paper 1 Foundation, Q18 (5 marks): Alison buys 5 apples and 3 pears for a total cost of $1.96 Greg buys 3 apples and 2 pears for a total cost of $1.22 Michael buys 10 apples and 10 pears. Work ou
November 2021, Paper 1 Higher, Q5 (5 marks): Yasmin has some identical rectangular tiles. Each tile is L cm by W cm. Diagram NOT L cm accurately drawn W cm Using 9 of her tiles, Yasmin makes rectangle ABCD
November 2021, Paper 1 Higher, Q6 (5 marks): Alison buys 5 apples and 3 pears for a total cost of $1.96 Greg buys 3 apples and 2 pears for a total cost of $1.22 Michael buys 10 apples and 10 pears. Work ou
June 2021, Paper 2 Foundation, Q22 (3 marks): Solve the simultaneous equations 5a + 2c = 10 2a – 4c = 7 Show clear algebraic working. a = c =
June 2021, Paper 2 Higher, Q8 (3 marks): Solve the simultaneous equations 5a + 2c = 10 2a – 4c = 7 Show clear algebraic working. a = c =
January 2021 (R), Paper 1 Higher, Q17 (5 marks): Solve the simultaneous equations x – 6y = 5 xy – 2y 2 = 6 Show clear algebraic working.
January 2021 (R), Paper 2 Higher, Q12 (4 marks): Solve the simultaneous equations 2x + 7y = 17 5x + 3y = –1 Show clear algebraic working. x = y =
January 2021, Paper 1 Higher, Q19 (5 marks): Solve the simultaneous equations 2 – 9y – x = 2y 2 – 12 x x + 2y – 1 = 0 Show clear algebraic working.
November 2020 (R), Paper 1 Higher, Q12 (4 marks): Solve the simultaneous equations 7x + 2y = 5.5 3x – 5y = 17 Show clear algebraic working. x = y =
November 2020, Paper 1 Higher, Q12 (4 marks): Solve the simultaneous equations 7x – 2y = 34 3x + 5y = −3 Show clear algebraic working. x = y =
November 2020, Paper 2 Foundation, Q21 (6 marks): (a) Simplify g6 × g4 (b) Simplify (3cd4)2 (c) Solve the simultaneous equations 4x + 3y = 17 x + 2y = 5 Show clear algebraic working. x = y =
January 2020 (R), Paper 2 Foundation, Q21 (3 marks): Solve the simultaneous equations 3x + 5y = 6 7x – 5y = −11 Show clear algebraic working. x = y =
January 2020 (R), Paper 2 Higher, Q7 (3 marks): Solve the simultaneous equations 3x + 5y = 6 7x – 5y = –11 Show clear algebraic working. x = y =
January 2020, Paper 2 Foundation, Q10 (4 marks): In a shop, 3 bottles of juice cost $5.25 2 bottles of juice and 5 bars of chocolate cost $9.75 Work out the cost of 5 bottles of juice and 3 bars of chocolate.
June 2019, Paper 2 Foundation, Q20 (3 marks): Solve the simultaneous equations x+2y=-0.5 3x-y= Show clear algebraic working. y=
June 2019, Paper 2 Higher, Q9 (3 marks): Solve the simultaneous equations x + 2y í 3x – y = 16 Show clear algebraic working. x = y =
January 2019 (R), Paper 1 Foundation, Q23 (3 marks): Solve the simultaneous equations 4x + 2y = 9 x – 4y = 9 Show clear algebraic working. x = y =
January 2019 (R), Paper 1 Higher, Q8 (3 marks): Solve the simultaneous equations 4x + 2y = 9 x – 4y = 9 Show clear algebraic working. x = y =
January 2019, Paper 2 Foundation, Q23 (3 marks): Solve the simultaneous equations 4x + 5y = 4 2x – y = 9 Show clear algebraic working. x = y =
January 2019, Paper 2 Higher, Q9 (3 marks): Solve the simultaneous equations 4x + 5y = 4 2x – y = 9 Show clear algebraic working. x = y =

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