100+ Free ECZ PSLE Maths 3/1 Practice Questions

Prepare for the Zambia Primary School Leaving Examination — Mathematics (3/1) exam with instant access — no signup required.

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2026 Statistics

Key Facts: ECZ PSLE Maths 3/1 Exam

Paper 3/1

ECZ PSLE Mathematics paper code on the 2026 timetable

2026 Primary School Leaving Examination Timetable

90 minutes

Official duration, Wednesday 28 October 2026, 08:00–09:30

2026 Primary School Leaving Examination Timetable

K100 private

2026 private PSLE fee per candidate (public/grant-aided pay nothing)

2026 Guidelines and Regulations on Candidate Registration

7 years primary

Eligibility: completed seven years of primary education

2026 Guidelines and Regulations on Candidate Registration

Statement of results

ECZ reports PSLE outcomes on official statements; no published % cutoff for 3/1

ECZ statements of results / annual reporting

CDC Grades 1–7

Content drawn from the CDC Mathematics Syllabus Grades 1–7, not Grade 12 4024

CDC Mathematics Syllabus (Grades 1–7), 2013

MCQ study adaptation

This bank practises syllabus skills in multiple-choice form; it is not an official paper

OpenExamPrep practice policy

ECZ Mathematics 3/1 is Zambia’s Primary School Leaving Examination mathematics paper. The 2026 PSLE timetable lists it for 90 minutes on Wednesday 28 October 2026, 08:00–09:30. Results appear on official ECZ statements of results; no published percentage cutoff is given for this paper. 2026 fees: public and grant-aided candidates pay nothing; private candidates pay K100 per candidate. This page is a free Grade 7 Mathematics MCQ study adaptation, not an official paper.

Sample ECZ PSLE Maths 3/1 Practice Questions

Try these sample questions to test your ECZ PSLE Maths 3/1 exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1What is the place value of the digit 6 in 3 462 815?

A.6 000

B.60 000

C.600 000

D.6 000 000

Explanation: From the right, the digits of 3 462 815 are units, tens, hundreds, thousands, ten thousands, hundred thousands and millions. The 6 sits in the ten-thousands place, so its value is 60 000.

2Round 47 582 to the nearest hundred.

A.47 500

B.47 580

C.47 600

D.48 000

Explanation: To the nearest hundred, look at the tens digit of 47 582, which is 8. Because 8 is 5 or more, the hundreds digit 5 rounds up, giving 47 600.

3Work out 8 × 7 + 16 ÷ 4.

A.18

B.60

C.72

D.80

Explanation: Combined operations follow BODMAS: multiply and divide before adding. 8 × 7 = 56 and 16 ÷ 4 = 4, then 56 + 4 = 60.

4What is the highest common factor (HCF) of 18 and 24?

A.3

B.6

C.8

D.72

Explanation: Factors of 18 are 1, 2, 3, 6, 9 and 18. Factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24. The greatest number in both lists is 6.

5Which of these numbers is a prime number?

A.15

B.21

C.27

D.29

Explanation: A prime number has exactly two factors: 1 and itself. 29 is only divisible by 1 and 29. 15 = 3 × 5, 21 = 3 × 7 and 27 = 3 × 9, so those three are composite.

6What is the lowest common multiple (LCM) of 4 and 6?

A.2

B.10

C.12

D.24

Explanation: Multiples of 4 begin 4, 8, 12, 16, 20, 24. Multiples of 6 begin 6, 12, 18, 24. The smallest shared multiple is 12.

7Evaluate 2³.

A.5

B.6

C.8

D.9

Explanation: Index notation 2³ means 2 × 2 × 2. That product is 8. Do not add the base and the index.

8What is −3 + 5?

A.−8

B.−2

C.2

D.8

Explanation: On the number line, start at −3 and move 5 units to the right. You land on 2. Adding a larger positive integer to a negative integer gives a positive result when the positive part is greater.

9Work out 3/5 + 1/5.

A.2/5

B.4/5

C.4/10

D.3/25

Explanation: The denominators are the same, so add the numerators: 3 + 1 = 4. The sum is 4/5.

10Which fraction is equivalent to 4/8?

A.1/4

B.1/2

C.2/8

D.4/4

Explanation: Divide the numerator and the denominator of 4/8 by 4. That gives 1/2. So 4/8 and 1/2 name the same amount.

About the ECZ PSLE Maths 3/1 Exam

Mathematics 3/1 is the Examinations Council of Zambia Primary School Leaving Examination mathematics paper. Content follows the Ministry of Education Curriculum Development Centre Mathematics Syllabus for Grades 1–7 (2013), which remains the published upper-primary mathematics syllabus while newer primary documents are still being posted on edu.gov.zm. Grade 7 outcomes cover fractions, decimals, percentages, ratio and inverse proportion, commercial arithmetic and currency conversion, integers, number bases 2, 5 and 8, sequences, inequations, plane and solid shapes, circle measure with π = 3.14, and statistics, together with earlier primary work on whole numbers, measurement, time, money, sets and simple equations. Official 2026 paper 3/1 is 90 minutes on Wednesday 28 October 2026 (08:00–09:30). ECZ has not published a fixed item count. The questions on this page are an original Grade 7 English-language multiple-choice study adaptation with worked calculations — not a simulation of the official paper and not Grade 12 Mathematics 4024.

Assessment

One paper on the 2026 PSLE timetable: 3/1 Mathematics, 90 minutes (08:00–09:30, Wednesday 28 October 2026). ECZ has not published a fixed item count. This practice bank is an English-language MCQ study adaptation of CDC upper-primary mathematics, not a live-paper simulation.

Time Limit

90 minutes (official 2026 PSLE timetable: Wednesday 28 October 2026, 08:00–09:30).

Passing Score

ECZ standardises each PSLE subject score onto a common 50–150 scale and reports Grade 7 performance in Divisions 1–4 (Division 1 = 115–150, Division 2 = 105–114, Division 3 = 99–104, Division 4 = 50–98 in a single subject). Certification is calculated from the best four core subjects, which must include Mathematics and English. ECZ does not publish a separate percentage cut score for this paper.

Exam Fee

Public and grant-aided candidates pay nothing. Private PSLE candidates pay K100 per candidate (2026 Guidelines and Regulations on Candidate Registration). (Examinations Council of Zambia (ECZ))

ECZ PSLE Maths 3/1 Exam Content Outline

~18% of this study bank (not an official ECZ weight)

Whole numbers, factors, integers and number bases

Place value and rounding, BODMAS, primes, HCF and LCM, adding and subtracting integers, and converting among base 10 and bases 2, 5 and 8.

~22% of this study bank (not an official ECZ weight)

Fractions, decimals and percentages

Four operations on proper, improper and mixed fractions; decimal operations to several places; and converting among fractions, decimals and percentages in real-life problems.

~16% of this study bank (not an official ECZ weight)

Ratio, proportion and commercial arithmetic

Simplifying ratios, sharing, direct and inverse proportion, profit and loss, simple interest, discount and stated-rate currency conversion using ZMW.

~14% of this study bank (not an official ECZ weight)

Measurement, time and speed

Metric conversions, elapsed time, perimeter and area of rectangles and triangles, surface area and volume of cubes and cuboids, and speed = distance ÷ time.

~14% of this study bank (not an official ECZ weight)

Geometry and solid shapes

Angle sums, regular polygons, line symmetry, circumference and area of a circle with π = 3.14, and identifying nets of cylinders and triangular prisms.

~16% of this study bank (not an official ECZ weight)

Data, sets, algebra and sequences

Interpreting charts and calculating mean, median and mode; Venn diagrams; solving open sentences, linear equations and simple inequations; and squares, cubes and number sequences.

How to Pass the ECZ PSLE Maths 3/1 Exam

What You Need to Know

Passing score: ECZ standardises each PSLE subject score onto a common 50–150 scale and reports Grade 7 performance in Divisions 1–4 (Division 1 = 115–150, Division 2 = 105–114, Division 3 = 99–104, Division 4 = 50–98 in a single subject). Certification is calculated from the best four core subjects, which must include Mathematics and English. ECZ does not publish a separate percentage cut score for this paper.
Assessment: One paper on the 2026 PSLE timetable: 3/1 Mathematics, 90 minutes (08:00–09:30, Wednesday 28 October 2026). ECZ has not published a fixed item count. This practice bank is an English-language MCQ study adaptation of CDC upper-primary mathematics, not a live-paper simulation.
Time limit: 90 minutes (official 2026 PSLE timetable: Wednesday 28 October 2026, 08:00–09:30).
Exam fee: Public and grant-aided candidates pay nothing. Private PSLE candidates pay K100 per candidate (2026 Guidelines and Regulations on Candidate Registration).

Keys to Passing

Work through all 100 available questions
Review every answer and explanation
Track weak areas and revisit them
Use our AI tutor for tough concepts

ECZ PSLE Maths 3/1 Study Tips from Top Performers

1These MCQs train methods but cannot replace working a full 90-minute paper without a calculator — show every step as you would in class.

2Memorise the Grade 7 circle constants used in CDC materials: use π = 3.14 unless a question gives another value.

3Practise commercial-arithmetic items in ZMW: reverse percentages, simple interest I = PRT/100, and stated-rate currency conversion.

4Drill number bases 2, 5 and 8, integer addition and subtraction, and inverse proportion — they are Grade 7 topics that are easy to skip.

5For data questions, write the numbers in order before you name the median or mode, and check that the mean times the count equals the total.

Frequently Asked Questions

What is ECZ Mathematics 3/1?

It is the Examinations Council of Zambia Primary School Leaving Examination Mathematics paper, coded 3/1 on the 2026 PSLE timetable. The CDC Mathematics Syllabus for Grades 1–7 develops number, measurement, geometry, data and simple algebra at upper-primary level.

How is the official 2026 Mathematics paper structured?

The 2026 PSLE timetable lists 3/1 Mathematics for 90 minutes on Wednesday 28 October 2026, 08:00–09:30. ECZ has not published a fixed item count. This 100-question bank is a study adaptation, not a copy of the live paper.

Are these official ECZ examination questions?

No. These are original Grade 7 English-language multiple-choice study questions aligned to official CDC outcomes. Use them to check methods, then practise official-style papers from your school or ECZ specimen materials.

How is PSLE Mathematics graded?

ECZ reports Primary School Leaving Examination results on official statements of results, showing subject performance and the certificate award printed on that statement. There is no published single percentage pass mark for Mathematics 3/1. Do not use unofficial percentage bands as official cut scores.

How much does 2026 PSLE registration cost?

Public and grant-aided candidates pay nothing. Private PSLE candidates pay K100 per candidate. Confirm the current circular on exams-council.org.zm before you pay. This is not the School Certificate private fee of K600.

When is the 2026 Mathematics sitting?

The 2026 Primary School Leaving Examination series begins on Monday 26 October 2026. Mathematics 3/1 is scheduled for Wednesday 28 October 2026, 08:00–09:30. Check the official ECZ timetable at your centre.