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100+ Free JC Mathematics 309 Practice Questions

Prepare for the Eswatini Junior Certificate — Mathematics (Subject Code 309) exam with instant access — no signup required.

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Key Facts: JC Mathematics 309 Exam

ECESWA

National examining body for the Junior Certificate and other Eswatini school examinations

examscouncil.org.sz

309

Official subject code for JC Ordinary Mathematics

ECESWA JC Mathematics 2024–2026 syllabus

2 papers

Paper 1 (2 h, 100 marks) and Paper 2 (2 h 30 min, 100 marks), each 50%

ECESWA JC Mathematics scheme of assessment

No calculator

Electronic calculators prohibited on both JC Mathematics papers

ECESWA JC Mathematics 2024–2026 syllabus notes

2024–2026

Current published JC Mathematics (309) syllabus cycle

examscouncil.org.sz JC Mathematics syllabus upload

ECESWA JC Mathematics 309 is Eswatini's Form 3 national Ordinary Mathematics exam: two written papers (2 h and 2 h 30 min), 100 marks each, calculators banned. This page offers 100 free English MCQ study items with worked explanations — a study adaptation, not an official paper simulation.

Sample JC Mathematics 309 Practice Questions

Try these sample questions to test your JC Mathematics 309 exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Which of the following is a prime number?
A.21
B.27
C.29
D.33
Explanation: A prime has exactly two distinct positive factors: 1 and itself. 29 is only divisible by 1 and 29. 21 = 3×7, 27 = 3³, and 33 = 3×11 are composite.
2Express 60 as a product of its prime factors in index form.
A.2² × 3 × 5
B.2 × 3 × 5
C.2² × 15
D.2³ × 3 × 5
Explanation: Prime factorisation: 60 = 2 × 2 × 3 × 5 = 2² × 3 × 5. Use only prime bases in the final product.
3Find the highest common factor (HCF) of 36 and 48.
A.6
B.12
C.18
D.24
Explanation: 36 = 2² × 3² and 48 = 2⁴ × 3. HCF takes lowest shared powers: 2² × 3 = 12.
4Find the lowest common multiple (LCM) of 12 and 18.
A.36
B.54
C.72
D.216
Explanation: 12 = 2² × 3 and 18 = 2 × 3². LCM takes highest powers: 2² × 3² = 36.
5Round 3 748 to the nearest hundred.
A.3 700
B.3 750
C.3 800
D.4 000
Explanation: Tens digit of 3 748 is 4 (< 5), so to the nearest hundred round down to 3 700.
6Work out 3/4 + 2/5. Give the answer as a single fraction in simplest form.
A.5/9
B.23/20
C.6/9
D.1/9
Explanation: Common denominator 20: 3/4 = 15/20 and 2/5 = 8/20. Sum = 23/20 in simplest form.
7Convert 0.35 to a percentage.
A.0.35%
B.3.5%
C.35%
D.350%
Explanation: Multiply by 100 to convert a decimal to a percentage: 0.35 × 100 = 35%.
8Find 15% of 240.
A.24
B.30
C.36
D.48
Explanation: 15% of 240 = (15/100)×240 = 36. Or use 10% = 24 and 5% = 12, total 36.
9A shop buys a radio for E450 and sells it for E540. What is the percentage profit on cost?
A.15%
B.16.7%
C.20%
D.25%
Explanation: Profit = 540 − 450 = E90. Percentage profit on cost = (90/450)×100% = 20%.
10Share E840 in the ratio 2 : 5. How much is the larger share?
A.E240
B.E336
C.E480
D.E600
Explanation: Parts = 7; one part = 840/7 = E120. Larger share = 5 × 120 = E600.

About the JC Mathematics 309 Exam

The Eswatini Junior Certificate (JC) Mathematics examination (subject code 309) is the national Form 3 Ordinary Mathematics assessment administered by the Examinations Council of Eswatini (ECESWA). Official assessment uses two written papers under the JC Mathematics & Additional Mathematics 2024–2026 syllabus: Paper 1 (2 hours, short-answer, 100 marks) and Paper 2 (2 hours 30 minutes, structured/longer answers, 100 marks). Content covers Number; Shape, Position and Space; Algebra; and Data Handling. The 100 questions on this page are an English-language multiple-choice study adaptation with genuine calculation items — not official ECESWA papers and not a simulation of full written working papers.

Assessment

Paper 1 (2 hours, 100 marks, 50%): compulsory short-answer paper. Paper 2 (2 hours 30 minutes, 100 marks, 50%): compulsory structured/longer answer paper. Calculators are prohibited; mathematical instruments and 3-figure tables may be used as stated on papers. Approximate topic weightings (2024–2026 syllabus): Number 30%/20%, Shape–Position–Space 35%/35%, Algebra 25%/30%, Data Handling 10%/15% on Papers 1 and 2 respectively.

Time Limit

Paper 1: 2 hours; Paper 2: 2 hours 30 minutes (ECESWA JC Mathematics 309 syllabus for November 2024–2026 examinations)

Passing Score

Results follow ECESWA grade descriptors and published award rules for the sitting year. Confirm current grade boundaries and reporting with ECESWA or your school centre.

Exam Fee

JC fees are set annually by ECESWA (entry fee per candidate plus subject fee). Confirm the live fee schedule and registration windows with your school or examscouncil.org.sz for the examination year. (Examinations Council of Eswatini (ECESWA))

JC Mathematics 309 Exam Content Outline

~25% average (P1 30%; P2 20%)

Number

Primes, factors, LCM/HCF, sequences, sets, estimation and bounds, operations with fractions/decimals/directed numbers, percentages, profit/loss, simple and compound interest, sales tax, ratio/proportion, indices, and standard form.

35% (both papers)

Shape, Position and Space

Polygons and solids, nets, angle properties, constructions and loci, transformations, perimeter/area/volume/density, time–distance–speed, Pythagoras and introductory trigonometry, and three-figure bearings.

~27–28% average (P1 25%; P2 30%)

Algebra

Expressions and formulae, expand/factorise, algebraic fractions, linear equations and inequalities, simultaneous equations (graphical), coordinates and y = mx + c graphs, mappings, matrices, and vectors.

~12–13% average (P1 10%; P2 15%)

Data Handling

Tables, bar charts, pie charts (sector angles), mean/median/mode, probability on a 0–1 scale, and practical graphs such as distance–time.

How to Pass the JC Mathematics 309 Exam

What You Need to Know

  • Passing score: Results follow ECESWA grade descriptors and published award rules for the sitting year. Confirm current grade boundaries and reporting with ECESWA or your school centre.
  • Assessment: Paper 1 (2 hours, 100 marks, 50%): compulsory short-answer paper. Paper 2 (2 hours 30 minutes, 100 marks, 50%): compulsory structured/longer answer paper. Calculators are prohibited; mathematical instruments and 3-figure tables may be used as stated on papers. Approximate topic weightings (2024–2026 syllabus): Number 30%/20%, Shape–Position–Space 35%/35%, Algebra 25%/30%, Data Handling 10%/15% on Papers 1 and 2 respectively.
  • Time limit: Paper 1: 2 hours; Paper 2: 2 hours 30 minutes (ECESWA JC Mathematics 309 syllabus for November 2024–2026 examinations)
  • Exam fee: JC fees are set annually by ECESWA (entry fee per candidate plus subject fee). Confirm the live fee schedule and registration windows with your school or examscouncil.org.sz for the examination year.

Keys to Passing

  • Complete 500+ practice questions
  • Score 80%+ consistently before scheduling
  • Focus on highest-weighted sections
  • Use our AI tutor for tough concepts

JC Mathematics 309 Study Tips from Top Performers

1Study from the current ECESWA JC Mathematics 309 syllabus (2024–2026): Number; Shape, Position and Space; Algebra; Data Handling — then practise without a calculator.
2Show full working for multi-step percentage, mensuration, and algebra items; method marks matter on official written papers.
3Master LCM/HCF, fraction–decimal–percent links, and y = mx + c early — they underpin commercial math, graphs, and word problems.
4Draw diagrams for angle, bearing, Pythagoras, and area/volume questions; label units (cm, m, E, hours) carefully.
5Treat this MCQ bank as knowledge and calculation reinforcement; still complete full Paper 1 and Paper 2 practice under timed conditions using past papers.

Frequently Asked Questions

What is Eswatini JC Mathematics 309?

It is the national Form 3 Junior Certificate Ordinary Mathematics subject examination (code 309) set and administered by the Examinations Council of Eswatini (ECESWA), under the JC Mathematics & Additional Mathematics syllabus for November 2024–2026 examinations.

How is official JC Mathematics assessed?

All candidates take two written papers: Paper 1 (2 hours, short-answer, 100 marks, 50%) and Paper 2 (2 hours 30 minutes, structured/longer answer, 100 marks, 50%). Electronic calculators are prohibited. Show full working on the question paper as instructed.

What topics does the 2024–2026 syllabus cover?

Four areas: Number; Shape, Position and Space; Algebra; and Data Handling. Approximate weightings differ slightly by paper (for example Shape is about 35% on both papers; Number is higher on Paper 1; Algebra and Data Handling are higher on Paper 2).

Are these practice questions official ECESWA items?

No. Official papers are written short-answer and structured questions, not multiple-choice. OpenExamPrep items are original English-language MCQ study adaptations with worked calculations. Use them for concept and method practice alongside official past papers and the current syllabus.

Is a calculator allowed?

No. The 2024–2026 JC Mathematics syllabus states that electronic calculators are prohibited in Paper 1 and Paper 2. Practise written methods, estimation, and 3-figure tables where the paper allows them.

How is this different from Additional Mathematics 519?

Mathematics 309 is Ordinary Mathematics (two papers). Additional Mathematics 519 is a separate curriculum examined by a single paper for learners who also follow the Additional Mathematics content. This bank targets Ordinary Mathematics 309 only.