plumiThe equation of a straight line: AQA Level 2 Further Maths questions
Every AQA Level 2 Further Maths exam question on 3.5 The equation of a straight line, 2021–2025, with its mark scheme and examiner’s report.
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All 10 questions on The equation of a straight line, as a list
- June 2025, Paper 1, Q22 (6 marks): A circle has centre (2, 3) and radius 5 A straight line passes through (3, 7) and has a gradient of 2 Work out the coordinates of the two points where the circl
- June 2025, Paper 2, Q3 (3 marks): The equation of a straight line is 2ax + y = 25 where a is a constant. The line passes through the point (3, 1) Work out the value of the gradient of the line.
- 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 2024, Paper 1, Q20 (4 marks): Here is the graph of y = −x2 + 3x + 6 for −2 ⩽ x ⩽ 5 By drawing a suitable straight line, work out approximate solutions to x2 − x 7 2 − 3 = 0 Answer
- June 2022, Paper 1, Q2 (2 marks): The point (–6, –4) lies on a straight line with gradient 3 2 Work out the coordinates of the point where the line crosses the y-axis. Answer ( , )
- June 2022, Paper 2, Q4 (4 marks): Line A has equation y + 4x = 6 Line B is parallel to line A and passes through the point (2, 1) The point (d, 2d ) lies on line B. Work out the value of d. Answ
- November 2021, Paper 1, Q3 (1 mark): Here are four sketch graphs. Circle the letter of the sketch graph that represents 3x + 2y = 5
- 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 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, Q7 (3 marks): Work out the equation of the straight line that is parallel to the line 2y = x and intersects the x-axis at (4, 0) Answer
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