plumiDividing a line in a ratio: AQA Level 2 Further Maths questions
Every AQA Level 2 Further Maths exam question on 3.4 Dividing a line in a ratio, 2021–2025, with its mark scheme and examiner’s report.
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All 9 questions on Dividing a line in a ratio, as a list
- June 2025, Paper 1, Q4 (4 marks): AC is a straight line. A is the point (–3, 2) B is the midpoint of the line AC. B is the point (12, 10) 4 (a) Work out the coordinates of C. Answer ( , ) 4 (b)
- June 2025, Paper 2, Q6 (3 marks): C is a point on the straight line AB. AC : CB = 3 : 2 Work out the equation of the straight line passing through O and C. Answer
- June 2023, Paper 2, Q4 (4 marks): A line passes through P (1, k) and Q (r, 6) where k and r are constants. The midpoint of PQ has x-coordinate 5 The gradient of the line is 2 Work out the value
- June 2022, Paper 2, Q2 (2 marks): M is the midpoint of PQ. Work out the value of a. Answer
- June 2022, Paper 2, Q13 (3 marks): A (–2, 5) and B (4, 13) are points on a circle. AB is a diameter. Work out the equation of the circle. Give your answer in the form ( x – a)2 + ( y – b)2 = c wh
- November 2021, Paper 2, Q5 (3 marks): SQR is a right-angled triangle. P is a point on SQ. Angle SPR = 45° M is the midpoint of QR. k is a constant. Work out the coordinates of M. Answer ( , )
- November 2021, Paper 2, Q12 (5 marks): A and B are points on the line y = 3x + 2 B, C and D (5, 0) are points on the line L. OA : AC = 1 : 4 Work out the x-coordinate of B. Answer
- Specimen, Paper 1, Q4 (4 marks): ABC is a straight line with AB : BC = 5 : 2 A (3, 7) B (5, 5.5) C Not drawn accurately Work out the coordinates of C. Answer ( , )
- Specimen, Paper 2, Q3 (2 marks): M is the midpoint of the line AB. Work out the values of p and r. Not drawn accurately B (7, r) A (–2, 3) M (p, –1) p = r =
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