Alevel纯数真题分享！备考干货必看

　　如大家所知，考试想要得取高分和日常生活中的勤加练习是分不开的，而考试真题是最能还原考试实景的工具，把握真题是简单高效的复习方式。其他学科如此，数学便更不要提，真题的重要性无需多言，对此，小编为大家收集了Alevel Pure Mathematics 1Paper 1的真题，可供参考。

　　1、Functions f and g are defined by

　　f : x ↦ 3x + 2, x ∈ ℝ,

　　g : x ↦ 4x – 12, x ∈ ℝ.

　　Solve the equation

　　2、An arithmetic progression has first term 7. The nth term is 84 and the (3n)th term is 245.

　　Find the value of n.

　　3、A curve has equation

　　(a) Find

　　A point moves along this curve. As the point passes through A, the x-coordinate is increasing at a rate of 0.15 units per second and the y-coordinate is increasing at a rate of 0.4 units per second.

　　(b) Find the possible x-coordinates of A.

　　4、The diagram shows a circle with centre A and radius r. Diameters CAD and BAE are perpendicular to each other. A larger circle has centre B and passes through C and D.

　　(a) Show that the radius of the larger circle is

　　(b) Find the area of the shaded region in terms of r.

　　5、The diagram shows the curve with equation. The minimum point on the curvehascoordinates (a, 0) and the x-coordinate of the maximum point is b,where a and b are constants.

　　(a) State the value of a.

　　(b) Calculate thevalue of b.

　　(c) Find the area of theshaded region.

　　(d) The gradient,, of the curve has a minimum value m.

　　Calculate the value of m.

　　以上是小编为大家总结的Alevel数学纯数1的部分真题。希望对大家有所帮助，祝各位同学学业有成金榜题名！如有更多Alevel课程辅导的需要，欢迎联系在线客服老师，会获得更专业的指导~