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ZIMSEC GCE Mathematics Mock Paper 2A - Sections A and B

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Title ZIMSEC GCE Mathematics Mock Paper 2A - Sections A and B
Description Original online ZIMSEC GCE/O-Level Mathematics Paper 2 practice. Section A: five compulsory questions worth 52 marks. Section B: answer any four of seven long questions, each worth 12 marks. 100 selected marks, 150 minutes. Teacher marking required. Not an official past paper.
Total Marks 100 points
Duration 150 minutes

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Session Window Started 04 Sep 2026 04:14 and closes 04 Sep 2026 06:44.

Exam questions

Answer all 12 questions, then submit the paper once.

Question 1

Short Answer - 10.00 marks

Prompt Section A - Question 1. (a) Express 0.000456 in standard form. [2] (b) Divide ZWL 8,400 in the ratio 3:4:5. [4] (c) A laptop costs ZWL 6,500 after a 13% discount. Find its marked price to the nearest cent. [4]
Compulsory. Show all working and label each part.

Question 2

Short Answer - 10.00 marks

Prompt Section A - Question 2. (a) Factorise 6x^2-x-2. [3] (b) Solve 6x^2-x-2=0. [3] (c) The line y=2x-1 meets y=x^2-4. Find the x-coordinates of the intersections. [4]
Compulsory. Show all algebraic working.

Question 3

Short Answer - 10.00 marks

Prompt Section A - Question 3. Triangle ABC has AB=12 cm, AC=9 cm and angle BAC=58 degrees. (a) Find its area. [3] (b) Find BC. [4] (c) Find angle ABC. [3]
Compulsory. Give non-exact answers to 3 significant figures.

Question 4

Short Answer - 10.00 marks

Prompt Section A - Question 4. The values 2, 4, 6, 8 and 10 have frequencies 3, 5, 7, 4 and 1. (a) Find the total frequency. [1] (b) Calculate the mean. [4] (c) Find the median and mode. [3] (d) Find the range. [2]
Compulsory. Show the frequency calculations.

Question 5

Short Answer - 12.00 marks

Prompt Section A - Question 5. A bag has 5 red, 4 blue and 3 green counters. Two are drawn without replacement. (a) Find P(both red). [3] (b) Find P(one red and one blue). [5] (c) Find P(at least one green). [4]
Compulsory. Give exact fractions in simplest form.

Question 6

Long Structured Answer - 12.00 marks

Prompt Section B - Question 6. A trader buys 80 bags of maize meal at ZWL 18.50 each. Transport costs ZWL 120. Ten bags are damaged and sold at a 20% loss; the rest are sold at a 25% profit. Calculate the overall profit or loss and express it as a percentage of total cost.
Answer any four questions from Section B. Show every stage of the calculation.

Question 7

Long Structured Answer - 12.00 marks

Prompt Section B - Question 7. A rectangular garden is 8 m longer than it is wide and has area 240 m^2. Find its dimensions. A path 1.5 m wide is then built all around the outside. Find the area of the path.
Answer any four questions from Section B. Form and solve an equation.

Question 8

Long Structured Answer - 12.00 marks

Prompt Section B - Question 8. Points A(-2,1), B(6,5) and C(4,-3) form a triangle. Find the midpoint of AB, the gradient of AB, the equation of the line through C perpendicular to AB, and the coordinates where that line meets the y-axis.
Answer any four questions from Section B. Give the line equation in a clear form.

Question 9

Long Structured Answer - 12.00 marks

Prompt Section B - Question 9. From point P, the angle of elevation to the top of a tower is 34 degrees. After walking 25 m directly towards the tower to point Q, the angle is 52 degrees. Find the distance from Q to the tower and the tower height.
Answer any four questions from Section B. Include a labelled diagram or define your variables.

Question 10

Long Structured Answer - 12.00 marks

Prompt Section B - Question 10. The matrices A=[[2,1],[3,2]] and B=[[1,-1],[4,0]]. Find AB, det(A), A inverse, and solve A[x,y]^T=[7,12]^T.
Answer any four questions from Section B. Show matrix multiplication and inverse steps.

Question 11

Long Structured Answer - 12.00 marks

Prompt Section B - Question 11. A box contains 6 white and 4 black balls. Three balls are drawn without replacement. Find the probability of exactly two white balls and the probability of at least one black ball.
Answer any four questions from Section B. Use a tree, combinations, or an equivalent exact method.

Question 12

Long Structured Answer - 12.00 marks

Prompt Section B - Question 12. A solid consists of a cylinder of radius 4 cm and height 10 cm topped by a hemisphere of the same radius. Find its total volume and its external surface area, using pi=3.142.
Answer any four questions from Section B. Do not include the joined circular face in external area.

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