plumiQuadratic equations: Edexcel GCSE Maths questions
Every Edexcel GCSE Maths exam question on A18 Quadratic equations, 2017–2025, with its mark scheme and examiner’s report.
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All 28 questions on Quadratic equations, as a list
- June 2025, Paper 3H, Q17 (3 marks): Solve 1 x x 3 1 3 1 x =
- November 2024, Paper 2H, Q21 (5 marks): The point P has coordinates (–4, 5) The point Q has coordinates (6, –6) The point R has coordinates (k, k + 3) Given that angle PRQ is a right angle, find the p
- November 2024, Paper 2H, Q22 (5 marks): There are only red counters and yellow counters in a box. 3 5 of the counters are red. Sophie takes at random two counters from the box. The probability that th
- June 2024, Paper 2H, Q5 (6 marks): (a) Complete the table of values for y = x 2 – x –2 –1 0 1 2 3 x y 6 0 2 (b) On the grid, draw the graph of y = x 2 – x for values of x from –2 to 3 y 8 7 6 5 4
- November 2023, Paper 3H, Q17 (7 marks): (a) (i) Write x2 – 8x + 3 in the form (x – a)2 – b where a and b are integers. (ii) Hence, write down the coordinates of the turning point on the graph of y = x
- June 2023, Paper 3H, Q21 (4 marks): Solve 1 x x 4 2 2
- November 2022, Paper 1H, Q19 (5 marks): Solve 1 1 x − = 4 x + 1 2 where a and b are fractions. Give your answer in the form a ± b
- November 2022, Paper 2H, Q19 (3 marks): Solve 6x2 + 5x − 6 = 0
- June 2022, Paper 1H, Q6 (6 marks): (a) Complete the table of values for y = x2 − 3x + 1 −1 0 1 2 3 4 x y 1 −1 (b) On the grid, draw the graph of y = x2 − 3x + 1 for values of x from −1 to 4 y 6 5
- June 2022, Paper 1H, Q19 (4 marks): Solve + = 1 x − x − 2 1 1 Give your answer in the form p ± q where p and q are integers. 2
- November 2021, Paper 1H, Q8 (3 marks): Solve x2 = 5x + 24
- November 2021, Paper 2H, Q4 (6 marks): (a) Complete the table of values for y = x2 – 2x + 2 x –2 –1 0 1 2 3 4 y 10 2 5 (b) On the grid, draw the graph of y = x2 – 2x + 2 for values of x from –2 to 4
- November 2021, Paper 3H, Q16 (4 marks): The curve C has equation y = x2 + 3x – 3 The line L has equation y – 5x + 4 = 0 Show, algebraically, that C and L have exactly one point in common.
- November 2020, Paper 1H, Q22 (5 marks): The diagram shows two shaded shapes, A and B. Shape A is formed by removing a sector of a circle with radius (3x – 1) cm from a sector of the circle with radius
- November 2020, Paper 2H, Q14 (4 marks): Here are two squares, A and B. A B The length of each side of square B is 4 cm greater than the length of each side of square A. The area of square B is 70 cm2
- November 2020, Paper 2H, Q20 (8 marks): There are only red sweets and yellow sweets in a bag. There are n red sweets in the bag. There are 8 yellow sweets in the bag. Sajid is going to take at random
- November 2020, Paper 3H, Q6 (3 marks): y 8 5x − 9y = − 46 6 4 2 O −10 −8 − 6 − 4 −2 2 4 x −2 −4 y = −2x (a) Use these graphs to solve the simultaneous equations 5x − 9y = −46 y = −2x x = y = . y 10 8
- November 2020, Paper 3H, Q21 (5 marks): 5c + d = c + 4d (a) Find the ratio c : d 6x² = 7xy + 20y² where x ˃ 0 and y ˃ 0 (b) Find the ratio x : y
- November 2019, Paper 1H, Q14 (4 marks): The diagram shows a right-angled triangle. x + 4 x – 2 All the measurements are in centimetres. The area of the triangle is 27.5 cm2 Work out the length of the
- November 2019, Paper 3H, Q17 (4 marks): Here is the graph of y = x2 – 3 y 10 8 6 4 2 O x –4 –3 –2 –1 1 2 3 4 –2 –4 Use the graph to find estimates for the solutions to the equation x2 – 2x – 2 = 0 You
- June 2019, Paper 1H, Q17 (4 marks): Given that x2 : (3x + 5) = 1 : 2 find the possible values of x.
- November 2018, Paper 1H, Q22 (6 marks): There are only green pens and blue pens in a box. There are three more blue pens than green pens in the box. There are more than 12 pens in the box. Simon is go
- November 2018, Paper 3H, Q3 (5 marks): (a) Complete this table of values for y = x2 + x – 4 x –3 –2 –1 0 1 2 3 y –2 ± –2 (b) On the grid, draw the graph of y = x2 + x – 4 for values of x from –3 to
- November 2018, Paper 3H, Q9 (8 marks): (a) Expand and simplify (x – 2)(2x + 3)(x + 1) 4 n y × y − 3 = y 2 y (b) Find the value of n. (c) Solve 5x2 – 4x – 3 = 0 Give your solutions correct to 3 signif
- June 2018, Paper 2H, Q5 (6 marks): (a) Complete the table of values for y = x2 – x – 6 x –3 –2 –1 0 1 2 3 y 6 – 6 (b) On the grid, draw the graph of y = x2 – x – 6 for values of x from –3 to 3 y
- November 2017, Paper 2H, Q16 (2 marks): is 2 marks)
- June 2017, Paper 2H, Q20 (5 marks): The diagram shows part of the graph of y = x2 – 2x + 3 y 10 8 6 4 2 –2 O 2 4 x (a) By drawing a suitable straight line, use your graph to find estimates for the
- June 2017, Paper 3H, Q15 (5 marks): C (x + 3) metres 45° A B (2x – 1) metres 2 The area of triangle ABC is 6 2 m . Calculate the value of x. Give your answer correct to 3 significant figures.
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