plumiPerimeter and area: AQA Level 2 Further Maths questions
Every AQA Level 2 Further Maths exam question on 6.1 Perimeter and area, 2021–2025, with its mark scheme and examiner’s report.
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All 15 questions on Perimeter and area, as a list
- June 2025, Paper 1, Q23 (5 marks): The diagram shows a trapezium. All lengths are in centimetres. The area of the trapezium is less than 22 cm2 Work out the greatest possible range of values of x
- June 2025, Paper 2, Q2 (4 marks): C and E are points on the circle with equation x2 + y2 = 144 CD is a straight line. OD : DE = 5 : 1 Work out the shaded area. Give your answer as a decimal. Ans
- June 2025, Paper 2, Q16 (4 marks): A, B, C and D are points on a circle. EBF is a tangent. Work out the value of x. x = °
- June 2024, Paper 1, Q16 (4 marks): A, B, C and D are points on a circle, centre O. angle OBC : angle ODC = 5 : 3 Work out the size of angle OBC. You must show your working. Answer °
- June 2024, Paper 2, Q17 (6 marks): (a) A solid cone has base radius 7 cm, perpendicular height h cm and slant height l cm Curved surface area of a cone = πrl The total surface area of the cone is
- June 2023, Paper 1, Q7 (4 marks): The diagram below shows a cone and a prism. All measurements are in cm The cone has base radius r and perpendicular height x. The prism has a triangular cross s
- June 2023, Paper 1, Q20 (6 marks): P, Q and R are points on a circle, centre O. Angle POR = 120° PQ = 4 cm QR = 5 cm Work out the radius of the circle. Give your answer in the form √k where k is
- June 2023, Paper 2, Q8 (4 marks): ABC is a triangle with perpendicular height AD. Area of ABC = 25 cm2 BD : DC = 2 : 3 Work out the size of angle w. w = °
- November 2021, Paper 1, Q21 (5 marks): ABC is a triangle. The perpendicular from A meets BC at D. BC = (6 + 2 7 ) cm Area of triangle ABC = (13 + 3 7 ) cm2 Work out the length, in cm, of AD. Give you
- November 2021, Paper 2, Q3 (3 marks): The rectangle and triangle shown have equal areas. Work out the value of d e Give your answer in its simplest form. Answer
- November 2021, Paper 2, Q4 (3 marks): The equations of the two circles shown are x2 + y2 = 100 and x2 + y2 = 36 Work out the shaded area. Give your answer as an integer multiple of π. Answer units2
- November 2021, Paper 2, Q10 (3 marks): The radius of a sphere, in cm, is k 3 2 The volume of the sphere, in cm3, is 972π Work out the value of k. Volume of a sphere = 4 3 πr3 where r is the radius An
- Specimen, Paper 2, Q1 (3 marks): A sketch of the lines y = 2x and y = 6 is shown. Work out the area of triangle OPQ. x Not drawn accurately y O y = 6 y = 2x P Q Answer units2
- Specimen, Paper 2, Q9 (5 marks): A, B and C are points on a circle, centre O. Work out the size of angle y. C 2x – 50° x + 62° A B O y Not drawn accurately Answer degrees
- Specimen, Paper 2, Q12 (7 marks): This shape is made from two rectangles. All dimensions are in centimetres. 30x 15x 10x 20x Not drawn accurately y 12 (a) The perimeter of the shape is 252 cm Sh
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