plumiForming and solving equations: Edexcel GCSE Maths questions
Every Edexcel GCSE Maths exam question on A21 Forming and solving equations, 2017–2025, with its mark scheme and examiner’s report.
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All 25 questions on Forming and solving equations, as a list
- June 2025, Paper 1H, Q2 (5 marks): There are only red counters, white counters, blue counters and green counters in a bag. Chris is going to take at random a counter from the bag. The table shows
- June 2025, Paper 3H, Q16 (4 marks): The diagram shows a solid shape made from a cylinder and a cone. Volume of cone = 1 h 3 πr 2h r 8 cm The cone has a base radius of 8 cm. The cylinder has a radi
- November 2024, Paper 1H, Q13 (5 marks): Here are two cuboids. x + 2 A x + 3 B x – 1 x – 3 2x – 1 2x All lengths are measured in centimetres. The volume of cuboid A is 142 cm 3 greater than the volume
- November 2024, Paper 2H, Q7 (5 marks): The diagram shows triangle ABC. C 2x + 11 4x – 4 A B 2x + 5 In the diagram, all measurements are in centimetres. AC = BC The perimeter of the triangle is 72 cm.
- June 2024, Paper 1H, Q21 (5 marks): A solid cuboid has a volume of 300 cm 3 The cuboid has a total surface area of 370 cm 2 The length of the cuboid is 20 cm. The width of the cuboid is greater th
- June 2024, Paper 3H, Q10 (3 marks): There are only red counters and yellow counters in bag A. number of red counters : number of yellow counters = 3 : 5 There are only green counters and blue coun
- June 2024, Paper 3H, Q20 (7 marks): x – 4, x + 2 and 3x + 1 are three consecutive terms of an arithmetic sequence. (a) Find the value of x. x = y – 4, y + 2 and 3y + 1 are three consecutive terms
- November 2023, Paper 1H, Q7 (5 marks): Mano has three shelves of books. There are x books on shelf A. There are (3x + 1) books on shelf B. There are (2x – 5) books on shelf C. There is a total of 44
- June 2023, Paper 1H, Q18 (4 marks): 7 kg of carrots and 5 kg of tomatoes cost a total of 480p cost of 1 kg of carrots : cost of 1 kg of tomatoes = 5 : 9 Work out the cost of 1 kg of carrots and th
- June 2023, Paper 2H, Q5 (4 marks): Here is a triangle and a rectangle. 6x 4x – 1 5 8 All measurements are in centimetres. 2 greater than the area of the rectangle. The area of the triangle is 10
- June 2022, Paper 2H, Q15 (4 marks): The ratio of Marta’s hourly pay to Khalid’s hourly pay is 6 : 5 Both Marta and Khalid get an increase of £1.50 in their hourly pay. The ratio of Marta’s hourly
- June 2022, Paper 3H, Q3 (5 marks): Rick, Selma and Tony are playing a game with counters. Rick has some counters. Selma has twice as many counters as Rick. Tony has 6 counters less than Selma. In
- November 2021, Paper 1H, Q11 (4 marks): The diagram shows two rectangles, A and B. A 6 B 7w 2w + y 3y + 6 All measurements are in centimetres. The area of rectangle A is equal to the area of rectangle
- November 2021, Paper 3H, Q13 (5 marks): A pattern is made from four identical rectangles. The sides of the rectangles are parallel to the axes. y B(11, 20) C A(3, 4) O x Point A has coordinates (3, 4)
- 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 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
- June 2019, Paper 1H, Q7 (4 marks): Here are two rectangles. P Q A B D C S R QR = 10 cm BC = PQ The perimeter of ABCD is 26 cm The area of PQRS is 45 cm2 Find the length of AB. cm
- June 2019, Paper 1H, Q22 (5 marks): There are only Ured counters and g green counters in a bag. A counter is taken at random from the bag. The probability that the counter is green is 3 7 The cou
- November 2018, Paper 1H, Q17 (4 marks): Here is a sketch of a curve. y O x The equation of the curve is y = x2 + ax + b where a and b are integers. 7KHSRLQWV í DQG OLHRQWKHFXUYH Fi
- November 2018, Paper 2H, Q17 (5 marks): p and q are two numbers such that p q When you subtract 5 from p and subtract 5 from q the answers are in the ratio 5 : 1 When you add 20 to p and add 20 to q t
- June 2018, Paper 3H, Q6 (5 marks): There are some counters in a bag. The counters are red or white or blue or yellow. Bob is going to take at random a counter from the bag. The table shows each o
- November 2017, Paper 1H, Q2 (4 marks): Kiaria is 7 years older than Jay. Martha is twice as old as Kiaria. The sum of their three ages is 77 Find the ratio of Jay’s age to Kiaria’s age to Martha’s ag
- November 2017, Paper 1H, Q6 (4 marks): Here is a rectangle. y 2x + 6 5x í 9 All measurements are in centimetres. The area of the rectangle is 48 cm2. Show that y = 3
- November 2017, Paper 3H, Q6 (5 marks): Here is a rectangle. The length of the rectangle is 7 cm longer than the width of the rectangle. 4 of these rectangles are used to make this 8-sided shape. The
- June 2017, Paper 1H, Q4 (3 marks): 3 cm x cm A B 3 cm x cm D C The area of square ABCD is 10 cm2. Show that x2 + 6x = 1
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