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ZIMSEC GCE Mathematics Mock Paper 1A - Short Structured

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Title ZIMSEC GCE Mathematics Mock Paper 1A - 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 Find the highest common factor of 84 and 126.
Paper 1 - compulsory. Show all working.

Question 2

Short Answer - 3.00 marks

Prompt Write 0.000672 in standard form.
Paper 1 - compulsory. Show all working.

Question 3

Short Answer - 3.00 marks

Prompt Evaluate 3/4 divided by 5/8.
Paper 1 - compulsory. Show all working.

Question 4

Short Answer - 3.00 marks

Prompt Calculate 15% of ZWL 2,400.
Paper 1 - compulsory. Show all working.

Question 5

Short Answer - 3.00 marks

Prompt Two amounts are in the ratio 3:5 and total 96. Find the smaller amount.
Paper 1 - compulsory. Show all working.

Question 6

Short Answer - 3.00 marks

Prompt Convert 243 in base 5 to base 10.
Paper 1 - compulsory. Show all working.

Question 7

Short Answer - 3.00 marks

Prompt In a group, n(A)=18, n(B)=22 and n(A intersection B)=7. Find n(A union B).
Paper 1 - compulsory. Show all working.

Question 8

Short Answer - 3.00 marks

Prompt The universal set has 50 elements and set A has 32 elements. Find n(A complement).
Paper 1 - compulsory. Show all working.

Question 9

Short Answer - 3.00 marks

Prompt Find the simple interest on ZWL 800 at 7.5% per annum for 3 years.
Paper 1 - compulsory. Show all working.

Question 10

Short Answer - 3.00 marks

Prompt ZWL 1,000 is invested at 10% compound interest per year. Find its value after 2 years.
Paper 1 - compulsory. Show all working.

Question 11

Short Answer - 3.00 marks

Prompt An item marked ZWL 680 is sold at a 15% discount. Find the sale price.
Paper 1 - compulsory. Show all working.

Question 12

Short Answer - 3.00 marks

Prompt A trader buys an item for ZWL 450 and sells it for ZWL 540. Find the profit percentage.
Paper 1 - compulsory. Show all working.

Question 13

Short Answer - 3.00 marks

Prompt Find the perimeter of a rectangle measuring 13.5 cm by 8 cm.
Paper 1 - compulsory. Show all working.

Question 14

Short Answer - 3.00 marks

Prompt A trapezium has parallel sides 9 cm and 15 cm and perpendicular height 7 cm. Find its area.
Paper 1 - compulsory. Show all working.

Question 15

Short Answer - 3.00 marks

Prompt Using pi=3.142, find the volume of a cylinder of radius 3 cm and height 5 cm.
Paper 1 - compulsory. Show all working.

Question 16

Short Answer - 3.00 marks

Prompt Convert 2.75 cubic metres to litres.
Paper 1 - compulsory. Show all working.

Question 17

Short Answer - 3.00 marks

Prompt On a map with scale 1:50,000, two places are 6.4 cm apart. Find the actual distance.
Paper 1 - compulsory. Show all working.

Question 18

Short Answer - 3.00 marks

Prompt A bus travels 180 km in 2 hours 15 minutes. Find its average speed.
Paper 1 - compulsory. Show all working.

Question 19

Short Answer - 3.00 marks

Prompt Round 47.386 to 3 significant figures.
Paper 1 - compulsory. Show all working.

Question 20

Short Answer - 3.00 marks

Prompt A length is recorded as 8.4 cm correct to the nearest 0.1 cm. What is its upper bound?
Paper 1 - compulsory. Show all working.

Question 21

Short Answer - 4.00 marks

Prompt Solve 2x + 7 = 19.
Paper 1 - compulsory. Show all working.

Question 22

Short Answer - 4.00 marks

Prompt Find the gradient of the line joining (1,4) and (5,16).
Paper 1 - compulsory. Show all working.

Question 23

Short Answer - 4.00 marks

Prompt In a right-angled triangle, tan theta=3/4. Find theta to 1 decimal place.
Paper 1 - compulsory. Show all working.

Question 24

Short Answer - 4.00 marks

Prompt A bag contains 3 red and 2 blue counters. One counter is chosen at random. Find P(red).
Paper 1 - compulsory. Show all working.

Question 25

Short Answer - 4.00 marks

Prompt Find the mean of 6, 8, 10 and 12.
Paper 1 - compulsory. Show all working.

Question 26

Short Answer - 4.00 marks

Prompt Translate the point (4,-1) by the vector (-2,5). State the image coordinates.
Paper 1 - compulsory. Show all working.

Question 27

Short Answer - 4.00 marks

Prompt Find the determinant of the matrix [[4,2],[1,3]].
Paper 1 - compulsory. Show all working.

Question 28

Short Answer - 4.00 marks

Prompt Find the nth term of 2, 5, 8, 11, ...
Paper 1 - compulsory. Show all working.

Question 29

Short Answer - 4.00 marks

Prompt C varies directly as r^2. If C=45 when r=3, find C when r=5.
Paper 1 - compulsory. Show all working.

Question 30

Short Answer - 4.00 marks

Prompt Solve x+y=9 and x-y=3.
Paper 1 - compulsory. Show all working.

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