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Free Practice Questions for Botswana PSLE Mathematics

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Key Facts: Botswana PSLE Mathematics Exam

50

Paper 1 MCQs

BEC Exam Specifications

90 min

Paper 1 Time Limit

BEC Exam Specifications

Grade C

Credit Standard Pass

BEC Grading Scale

2

Assessment Dimensions

BEC Diagnostic Framework

No Calc

Calculators Prohibited

BEC Examination Rules

100

Practice Questions

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Botswana PSLE Mathematics is the nationwide assessment for Standard 7 primary leavers administered by the Botswana Examinations Council (BEC). Paper 1 features 50 multiple-choice questions across computation and reasoning dimensions with a 90-minute time limit. Standard grading ranges from A to E, with Grade C representing credit competency. The 100 questions on this page are an English-language MCQ study adaptation, not an official BEC paper simulation.

Sample Botswana PSLE Mathematics Practice Questions

Try these sample questions to review concepts for the Botswana PSLE Mathematics exam. 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 7 in the number 4,578,219?
A.700
B.7,000
C.70,000
D.700,000
Explanation: In 4,578,219, counting from right to left, the digit 9 is in the units place, 1 is in tens, 2 is in hundreds, 8 is in thousands, and 7 is in ten thousands. Therefore, the value represented by 7 is 70,000.
2What is 86,472 rounded to the nearest thousand?
A.86,000
B.86,500
C.87,000
D.90,000
Explanation: To round 86,472 to the nearest thousand, examine the digit in the hundreds position, which is 4. Since 4 is less than 5, we round down, keeping 86 in the thousands place to get 86,000.
3What is the Arabic numeral equivalent of the Roman numeral CXLIV?
A.144
B.164
C.146
D.154
Explanation: In Roman numerals, C = 100, XL = 40 (50 minus 10), and IV = 4 (5 minus 1). Adding these values together gives 100 + 40 + 4 = 144.
4Which of the following numbers is a prime number?
A.27
B.33
C.41
D.51
Explanation: A prime number has exactly two distinct factors: 1 and itself. The number 41 is divisible only by 1 and 41, making it a prime number.
5What is the least common multiple (LCM) of 6, 8, and 12?
A.24
B.48
C.36
D.72
Explanation: The multiples of 6 are 6, 12, 18, 24, 30...; multiples of 8 are 8, 16, 24, 32...; and multiples of 12 are 12, 24, 36... The smallest number appearing in all three lists is 24.
6What is 500,000 + 4,000 + 300 + 9 written as a single standard numeral?
A.540,309
B.504,309
C.504,390
D.54,309
Explanation: Adding the expanded form values: 500,000 (hundred thousands) + 4,000 (thousands) + 300 (hundreds) + 9 (units) yields 504,309.
7What is the highest common factor (HCF) of 36, 54, and 90?
A.6
B.9
C.18
D.27
Explanation: The prime factorisations are 36 = 2^2 x 3^2, 54 = 2 x 3^3, and 90 = 2 x 3^2 x 5. Taking the product of the lowest powers of common prime factors (2^1 x 3^2) gives 2 x 9 = 18.
8Evaluate the expression: 15² - √144.
A.213
B.225
C.237
D.201
Explanation: First calculate 15² = 15 x 15 = 225. Next find √144 = 12. Subtracting 12 from 225 gives 225 - 12 = 213.
9The 2022 Botswana population census registered 149,652 residents in a district. What is this population rounded to the nearest ten thousand?
A.140,000
B.149,700
C.150,000
D.200,000
Explanation: To round 149,652 to the nearest ten thousand, examine the thousands digit (9). Since 9 is greater than or equal to 5, round up the ten thousands digit (4) to 5, resulting in 150,000.
10Express the current year 2026 in Roman numerals.
A.MMXXVI
B.MMXVI
C.MMXXIV
D.MXXVI
Explanation: In Roman numerals, 2000 is written as MM (1000 + 1000), 20 is XX (10 + 10), and 6 is VI (5 + 1). Combining these gives MMXXVI.

About the Botswana PSLE Mathematics Exam

The Botswana Primary School Leaving Examination (PSLE) Mathematics assessment evaluates Standard 7 learners across two key dimensions: Computation (Dimension 1) and Application & Reasoning (Dimension 2). It covers Whole Numbers, Fractions, Decimals, Percentages, Ratio & Proportion, Measurement (Length, Mass, Capacity, Time, Money, Area, Volume), Geometry (Angles, Shapes, Symmetry), Data Handling (Graphs, Averages, Probability), and Elementary Algebra.

Exam sponsor: Botswana Examinations Council (BEC). The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

National PSLE Mathematics written examination administered by BEC under the seven-subject Primary School Leaving Examination scheme

Time Limit

Scheduled annually by BEC: Letter and Composition for English and Setswana in August; remaining PSLE papers in October (exact subject durations are published in that year's PSLE timetable)

Passing Score

Grades A to E; Grade C or better is commonly treated as a credit standard

Exam / Certification Fees

BEC private-candidate fees are published annually; the 2023 BEC schedule was P100.00 per syllabus (confirm current fees on bec.co.bw). Public-school candidates are registered through their centre.

Exam sponsor website

Reported exam pass rate: Not published by BEC. BEC publishes national summary results but not a stable subject-level pass-rate target for practice-page logistics. Exam sponsor website

Fees, eligibility, and exam policies can change. Confirm them with the exam sponsor before applying or paying.

Our practice resources: topics covered

We aim to reflect publicly available exam outlines and topic information in our study resources. Coverage, format, and difficulty may differ from the actual exam, and we cannot guarantee that every detail is accurate or current. Confirm exam requirements, fees, and policies with the official exam sponsor.

15%

Numbers & Numeration

Place value up to millions, rounding, Roman numerals, factors, multiples, prime numbers, HCF, LCM, square numbers, and roots.

15%

Operations & Computation

Four basic operations on whole numbers and decimals, order of operations (BODMAS), estimation, and multi-step computational problems.

20%

Fractions, Decimals & Percentages

Equivalent fractions, fraction arithmetic, mixed numbers, decimal operations, percentage of amounts, percentage change, profit & loss, and simple interest.

10%

Ratio & Proportion

Simplifying ratios, dividing quantities in given ratios, direct proportion word problems, and map scale conversions.

20%

Measurement

Metric conversions (length, mass, capacity), 12/24-hour time, timetables, speed/distance/time, perimeter, 2D area, cuboid volume, and Botswana Pula/thebe money calculations.

10%

Geometry & Shapes

Angle types and angle sum rules, 2D shape properties, 3D solid attributes (faces, edges, vertices), line symmetry, and Cartesian coordinates.

10%

Data Handling & Algebra

Interpreting pictograms, bar graphs, and pie charts, calculating mean/median/mode/range, basic probability, and simple linear algebraic equations.

Preparing for the Botswana PSLE Mathematics Exam

What You Need to Know

  • Passing score: Grades A to E; Grade C or better is commonly treated as a credit standard
  • Assessment: National PSLE Mathematics written examination administered by BEC under the seven-subject Primary School Leaving Examination scheme
  • Time limit: Scheduled annually by BEC: Letter and Composition for English and Setswana in August; remaining PSLE papers in October (exact subject durations are published in that year's PSLE timetable)
  • Exam / certification fees: BEC private-candidate fees are published annually; the 2023 BEC schedule was P100.00 per syllabus (confirm current fees on bec.co.bw). Public-school candidates are registered through their centre. Official sources

Using Our Practice Resources

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

Botswana PSLE Mathematics: Suggested Study Strategy

1Master place value, multiplication tables (up to 12x12), and long division early so calculations are quick and accurate without a calculator.
2Always check units in measurement problems (e.g. converting metres to kilometres or minutes to hours) before performing calculations.
3Show clear step-by-step working when practicing multi-step word problems involving money (Pula and thebe), percentages, or ratios.
4Memorize key geometric properties: angles on a straight line equal 180°, angles in a triangle total 180°, and a square has 4 lines of symmetry.
5Practise interpreting graphs, bar charts, and pie charts carefully by reading axis titles and scales accurately.

Frequently Asked Questions

What is the Botswana PSLE Mathematics examination?

The Primary School Leaving Examination (PSLE) Mathematics exam is a national assessment conducted by the Botswana Examinations Council (BEC) for Standard 7 pupils. It measures mathematical literacy, computational skills, and problem-solving readiness for secondary education.

How is the BEC PSLE Mathematics paper structured?

The exam consists of Paper 1 (50 multiple-choice questions, 1 hour 30 minutes) assessing Computation and Application & Reasoning, and Paper 2 comprising short-answer and structured problem-solving questions.

What grading scale is used by BEC for PSLE?

BEC awards grades from A (Highest) to E (Lowest), where Grade A is Distinction (approx. 80-100%), Grade B is Merit (approx. 65-79%), Grade C is Credit (approx. 50-64%), Grade D is Pass (approx. 35-49%), and Grade E is Unsatisfactory (approx. 20-34%).

What main topics are covered in the PSLE Math syllabus?

The syllabus covers Numbers & Numeration, Basic Operations & Computation, Fractions, Decimals & Percentages, Ratio & Proportion, Measurement (Length, Mass, Capacity, Time, Area, Volume, Currency in Pula/thebe), Geometry & Shapes, Data Handling & Statistics, and Simple Algebra.

Are calculators allowed in PSLE Mathematics?

No. Electronic calculators are strictly prohibited in the PSLE Mathematics examinations to ensure learners demonstrate essential mental arithmetic, manual computation, and standard written algorithms.

How can students best prepare for BEC PSLE Mathematics?

Students should practise past BEC papers, master fundamental arithmetic algorithms, memorize key mathematical formulas (perimeter, area, volume, percentage change, simple interest), and drill word problems that require multi-step reasoning.

Are these official BEC examination questions?

No. These are original English-language multiple-choice study questions aligned to Botswana PSLE subject outcomes. They are a study adaptation and do not simulate the official BEC papers or mark schemes.