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ZIMSEC GCE Mathematics Mock Paper 1B - Short Structured

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Title ZIMSEC GCE Mathematics Mock Paper 1B - Short Structured
Description Original online ZIMSEC GCE/O-Level Mathematics Paper 1 practice. About 30 compulsory short-structured questions, 100 marks, 150 minutes. Show all working. Online scoring awards whole-question marks; a teacher should review working for partial credit. 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 30 questions, then submit the paper once.

Question 1

Short Answer - 3.00 marks

Prompt Simplify 3a - 2(4 - a).
Paper 1 - compulsory. Show all working.

Question 2

Short Answer - 3.00 marks

Prompt Expand (2x - 3)(x + 4).
Paper 1 - compulsory. Show all working.

Question 3

Short Answer - 3.00 marks

Prompt Factorise 6x^2 - 15x completely.
Paper 1 - compulsory. Show all working.

Question 4

Short Answer - 3.00 marks

Prompt Solve 5(x - 2) = 3x + 8.
Paper 1 - compulsory. Show all working.

Question 5

Short Answer - 3.00 marks

Prompt Solve 2x + y = 11 and x - y = 1.
Paper 1 - compulsory. Show all working.

Question 6

Short Answer - 3.00 marks

Prompt Solve x^2 - 7x + 12 = 0.
Paper 1 - compulsory. Show all working.

Question 7

Short Answer - 3.00 marks

Prompt Write x^2 + 6x + 5 in completed-square form.
Paper 1 - compulsory. Show all working.

Question 8

Short Answer - 3.00 marks

Prompt Solve the inequality 3x - 5 < 10.
Paper 1 - compulsory. Show all working.

Question 9

Short Answer - 3.00 marks

Prompt Make a the subject of v = u + at.
Paper 1 - compulsory. Show all working.

Question 10

Short Answer - 3.00 marks

Prompt Given f(x)=2x^2-3, find f(-2).
Paper 1 - compulsory. Show all working.

Question 11

Short Answer - 3.00 marks

Prompt Find the gradient of the line through (-1,2) and (3,10).
Paper 1 - compulsory. Show all working.

Question 12

Short Answer - 3.00 marks

Prompt Find the equation of the line with gradient -3 passing through (2,5).
Paper 1 - compulsory. Show all working.

Question 13

Short Answer - 3.00 marks

Prompt Find the midpoint of the line joining (-4,7) and (6,-1).
Paper 1 - compulsory. Show all working.

Question 14

Short Answer - 3.00 marks

Prompt y varies directly as x. If y=18 when x=6, find y when x=11.
Paper 1 - compulsory. Show all working.

Question 15

Short Answer - 3.00 marks

Prompt y varies inversely as x. If y=12 when x=4, find y when x=8.
Paper 1 - compulsory. Show all working.

Question 16

Short Answer - 3.00 marks

Prompt Solve 2^x = 32.
Paper 1 - compulsory. Show all working.

Question 17

Short Answer - 3.00 marks

Prompt Evaluate log base 10 of 0.01.
Paper 1 - compulsory. Show all working.

Question 18

Short Answer - 3.00 marks

Prompt Find the nth term of 5, 9, 13, 17, ...
Paper 1 - compulsory. Show all working.

Question 19

Short Answer - 3.00 marks

Prompt Find the sum of the first 20 terms of 3, 7, 11, 15, ...
Paper 1 - compulsory. Show all working.

Question 20

Short Answer - 3.00 marks

Prompt The graphs y=x+1 and y=x^2-5 intersect. Find their x-coordinates.
Paper 1 - compulsory. Show all working.

Question 21

Short Answer - 4.00 marks

Prompt Evaluate (2.5 x 10^6) divided by (5 x 10^2). Give the answer in standard form.
Paper 1 - compulsory. Show all working.

Question 22

Short Answer - 4.00 marks

Prompt ZWL 2,500 is invested at 8% compound interest per year. Find its value after 2 years.
Paper 1 - compulsory. Show all working.

Question 23

Short Answer - 4.00 marks

Prompt Using pi=3.142, find the area of a circle of radius 6 cm.
Paper 1 - compulsory. Show all working.

Question 24

Short Answer - 4.00 marks

Prompt State the three-figure bearing for south-west.
Paper 1 - compulsory. Show all working.

Question 25

Short Answer - 4.00 marks

Prompt Two fair coins are tossed. Find the probability of obtaining two tails.
Paper 1 - compulsory. Show all working.

Question 26

Short Answer - 4.00 marks

Prompt Five numbers have mean 12. Four of the numbers total 51. Find the fifth number.
Paper 1 - compulsory. Show all working.

Question 27

Short Answer - 4.00 marks

Prompt Reflect the point (3,-5) in the line y=x.
Paper 1 - compulsory. Show all working.

Question 28

Short Answer - 4.00 marks

Prompt Find the determinant of [[5,-1],[2,4]].
Paper 1 - compulsory. Show all working.

Question 29

Short Answer - 4.00 marks

Prompt Two similar solids have corresponding length ratio 2:3. Find the ratio of their volumes.
Paper 1 - compulsory. Show all working.

Question 30

Short Answer - 4.00 marks

Prompt Solve sqrt(x+1)=5.
Paper 1 - compulsory. Show all working.

Finish and mark

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