O Level Mathematics (Syllabus A) Past Papers
Paper 1
Exam sittings
| Session | Questions | Syllabus code |
|---|---|---|
| November 1999 | 146 | 4008/1, 4028/1 |
| June 1999 | 112 | 4008/1, 4028/1 |
Topics covered
MensurationCircle geometryDirected numbersPolygonsAlgebraEquationsLogarithmsNumberStatisticsTrigonometry
Sample questions
- In the diagram, AD is the diameter of the circle ABCD. Chords BC and CD are equal and…
- In the diagram, the lines ABC and PQR are parallel. The triangle AQB is equilateral.…
- In the diagram, AD is the diameter of the circle ABCD. Chords BC and CD are equal and…
- In the diagram, the lines ABC and PQR are parallel. The triangle AQB is equilateral.…
- Find the exact value of 5,4 \times 0,06.
- Express 0,072 as a fraction in its lowest terms.
- Find the exact value of 16,5 - 4,96.
- Express 0,072 as a percentage.
- Express 840 m as a fraction of 2,1 km, giving your answer in its simplest form.
- Express 0,072 in standard form.
- Express 0,008\,478 correct to two decimal places.
- Find the value of 5,08 + 0,946.
- Express 0,008\,478 in standard form.
- Find the value of \sqrt{0,0081}.
- Write down, correct to the nearest integer, \sqrt{402}.
- Find the value of 5,6 - 7,5.
- Given that l = -4, m = -3 and n = 5, find the value of lmn.
- Simplify 2m(3m + n) - 5m^2.
Paper 2
Exam sittings
| Session | Questions | Syllabus code |
|---|---|---|
| November 1999 | 32 | 4008/2, 4028/2 |
| June 1999 | 32 | 4008/2, 4028/2 |
Topics covered
Number, percentages, interestLinear programming, inequalitiesAlgebra, factorising, equationsAlgebra, factorising, indicesAlgebra, quadratic equations, areaBearings, sine rule, speed/distance/timeCoordinate geometry, matrices, transformationsLCM, trigonometry, percentages (bills)Matrices, simultaneous equations, vectors, coordinate geometryRates of work, mensuration (cylinder, cube, sphere)
Sample questions
- Evaluate 2 1/2 - 3/5 ÷ 2/3.
- Evaluate 5 1/3 × 3/4 - 1/2.
- Tendai is paid 12,40 an hour for a basic week of 40 hours, and 18,60 an hour for overtime…
- Given that p = 3w² - xy, find the value of p when w=-2, x=6 and y=-3.
- Calculate the simple interest earned on $1200 invested at a rate of 15% per annum for 6…
- During a sale the price of a radio was reduced by 28% to $486. Calculate the original…
- Factorise completely ax + x - 3a - 3.
- Factorise completely 3a-ab-2b+6.
- Factorise 2x² - 7x + 3.
- Factorise completely 3x²-147.
- Given that 2p = ∛(6q+5), find the value of p when q = 20.
- Solve the equation y²-6y+8=0.
- In a survey of pupils who went on a trip to Great Zimbabwe, Form 1 had 25 pupils, Form 2…
- TB is a diameter of a circle, and chords TA, TC, TD are drawn such that angle ATB = angle…
- For a trip with 25, 16, 75 and 64 pupils from Forms 1-4 respectively, find the mean…
- In a semicircle of radius 17 cm, two chords are drawn parallel to the diameter, of…
- Of the pupils who went on a school trip, 16 were from Form 2 and 64 from Form 4, out of…
- OP=(3,4), PQ=(12,a), OQ=(5b,-b). Find the value of b.
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