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

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Title ZIMSEC GCE Mathematics Mock Paper 2B - 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) Evaluate 3/5 divided by 9/20. [2] (b) Write 924 as a product of prime factors. [3] (c) Find the HCF and LCM of 84 and 126. [5]
Compulsory. Give all exact answers clearly.

Question 2

Short Answer - 10.00 marks

Prompt Section A - Question 2. (a) Simplify (x^2-9)/(x^2+x-6). [4] (b) Make x the subject of y=(3x-2)/(x+4). [4] (c) State any restrictions. [2]
Compulsory. Factor before cancelling and state excluded values.

Question 3

Short Answer - 10.00 marks

Prompt Section A - Question 3. The points P(-3,2), Q(5,6) and R(7,2) are given. (a) Find PQ and QR. [4] (b) Show that angle PQR is 90 degrees. [3] (c) Find the area of triangle PQR. [3]
Compulsory. Use distance, gradient, or vectors.

Question 4

Short Answer - 10.00 marks

Prompt Section A - Question 4. A sequence has nth term n^2-3n+5. (a) Write the first four terms. [3] (b) Find the 15th term. [2] (c) Determine n when the term is 33. [5]
Compulsory. Show the quadratic-equation step.

Question 5

Short Answer - 12.00 marks

Prompt Section A - Question 5. In a class of 40, 22 study Geography, 18 study History and 7 study neither. (a) Find how many study both. [4] (b) Find P(Geography only). [3] (c) One learner is selected from those studying History. Find P(the learner also studies Geography). [5]
Compulsory. Draw or describe the Venn diagram.

Question 6

Long Structured Answer - 12.00 marks

Prompt Section B - Question 6. A water tank is a closed cylinder of radius 1.4 m and height 3 m. It is 80% full. Calculate the water volume in litres and the time needed to empty it through a pipe at 35 litres per second. Use pi=22/7.
Answer any four questions from Section B. Give the emptying time in minutes and seconds.

Question 7

Long Structured Answer - 12.00 marks

Prompt Section B - Question 7. The curve y=x^2-4x-5 and line y=2x+3 are drawn. Find their points of intersection, the turning point of the curve, and the axis of symmetry.
Answer any four questions from Section B. Show algebraic solution and completed-square form.

Question 8

Long Structured Answer - 12.00 marks

Prompt Section B - Question 8. A ship sails 48 km on a bearing of 065 degrees, then 36 km on a bearing of 155 degrees. Find its eastward and northward displacement components, its distance from the start, and the bearing of its final position from the start.
Answer any four questions from Section B. State the trigonometric component convention used.

Question 9

Long Structured Answer - 12.00 marks

Prompt Section B - Question 9. The grouped times in minutes are 0-10:4, 10-20:9, 20-30:15, 30-40:8, 40-50:4. Estimate the mean, identify the modal class, and estimate the median by linear interpolation.
Answer any four questions from Section B. Use class midpoints and show cumulative frequencies.

Question 10

Long Structured Answer - 12.00 marks

Prompt Section B - Question 10. A transformation maps (x,y) to (2x-y, x+2y). Write its matrix, find the image of triangle with vertices (0,0), (2,0), (0,3), and find the area scale factor.
Answer any four questions from Section B. Use determinant to justify the area scale factor.

Question 11

Long Structured Answer - 12.00 marks

Prompt Section B - Question 11. A farmer encloses a rectangular pen against a straight wall, so fencing is needed for only three sides. There are 120 m of fencing. Express the area in terms of the width, find the maximum area, and state the dimensions.
Answer any four questions from Section B. Use completing the square or an equivalent quadratic method.

Question 12

Long Structured Answer - 12.00 marks

Prompt Section B - Question 12. A loan of ZWL 18,000 is charged compound interest at 9% per annum. Equal payments of ZWL 5,000 are made at the end of each year. Find the balance immediately after the third payment.
Answer any four questions from Section B. Apply interest before each end-of-year payment.

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