ZIMSEC A Level Pure Mathematics Past Papers

Paper 1

Exam sittings

Session	Questions	Syllabus code
November 2021	30	N/A
June 2020	34	N/A
November 2019	31	N/A
June 2019	32	N/A
November 2018	30	N/A
June 2018	33	N/A
November 2017	30	N/A
June 2017	30	N/A
November 2016	32	N/A
June 2016	32	N/A
November 2015	33	N/A
November 2014	30	N/A
June 2014	38	N/A
November 2013	34	N/A
June 2013	35	N/A
November 2012	33	N/A
June 2012	30	N/A
November 2011	31	N/A
June 2011	33	N/A
November 2010	39	N/A
June 2010	26	N/A
November 2009	37	N/A
June 2009	29	N/A
November 2007	23	N/A
June 2007	34	N/A
November 2006	30	N/A
June 2006	45	N/A
June 2005	31	N/A
November 2002	44	N/A

Topics covered

complex numbersvectorsdifferential equationsComplex numbersbinomial expansioncoordinate geometry / circlestrigonometryDifferential equationssequences and seriesvectors in 3D

Sample questions

The diagram shows the graph of y = f(x), passing through A(-1, 0), B(0, 1) and C(1, 0).…
In a circle of radius r and centre O, the shaded region is bounded by the chord AC, the…
Solve the inequality |3^{-3x} - 54| < 27.
Find the set of values of x which satisfy |3x + 2| < -x + 1.
Given that -4 < x < 2 is the solution of the inequality |x + a| < b, find the values of a…
In triangle ABC, AB = m cm, AC = 12 cm and angle B\hat{A}C = 60°. Given that the area of…
Solve the simultaneous equations 2^x + 3^y = 5 and 2^{x+2} - 3^{y+1} = 13.
Solve the equation 5^{x-1} + 5^{x-2} = 30.
Express \dfrac{6}{3 + \sqrt{5} + \sqrt{14}} in the form a + b\sqrt{c} + d\sqrt{e}.
A polynomial f(x) leaves remainder -9 when divided by (x-3) and remainder -6 when divided…
Find the inverse of f(x) = ax + b, where a \ne 0 and b are constants.
The complex number u = \dfrac{1}{-2+i}. Find |u|.
Solve the inequality |x-1| < x.
Given w = 1 + 2i and u = 3 - i, express uw in the form a + ib.
Solve the equation e^{2x} = 4e^{2-x}, giving your answer in exact form.
The equation x^3 - 2x^2 + 4x - 8 = 0 has a root x = 2i. Find the other two roots.
Find, in terms of k, the equation of the perpendicular bisector of the line joining A(2k,…
Solve the equation 3^{x-1} + 3^{x-2} = 12.

A Level Pure Mathematics Past Papers

Paper 1

Exam sittings

Topics covered

Sample questions

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