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Exam Review

Key Facts: BGCSE Mathematics 0563 Exam

2-3 Papers

Written Papers (Core 2, Extended 3)

BEC 2026 BGCSE Final Timetable

Grade C

National Credit Pass Benchmark

BEC BGCSE Results Publication

4 Domains

Syllabus Content Areas

BEC Syllabus 0563

100

Practice Questions in Bank

OpenExamPrep Practice Bank

The BGCSE Mathematics 0563 examination covers Number & Algebra (35%), Shape & Space (30%), Measures & Mensuration (15%), and Handling Data & Probability (20%). BEC examines the core syllabus through written Papers 0563/01 and 0563/02 and the extended syllabus through 0563/01, 0563/02 and 0563/03. The 100 questions here are an English-language MCQ study adaptation.

Sample BGCSE Mathematics 0563 Practice Questions

Try these sample questions to review concepts for the BGCSE Mathematics 0563 exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Calculate the value of 4.5 x (12.4 - 3.8) + 2.7.
A.41.4
B.51.1
C.38.7
D.44.1
Explanation: First perform the subtraction inside brackets: 12.4 - 3.8 = 8.6. Next, multiply by 4.5: 4.5 x 8.6 = 38.7. Finally, add 2.7: 38.7 + 2.7 = 41.4.
2Express 0.000458 in standard form (scientific notation).
A.4.58 x 10^-4
B.4.58 x 10^-3
C.45.8 x 10^-5
D.4.58 x 10^4
Explanation: Standard form is A x 10^n where 1 <= A < 10. Moving the decimal point 4 places to the right gives 4.58. Since the number is less than 1, the exponent is negative, giving 4.58 x 10^-4.
3A jacket original price of P850 is discounted by 15%. What is the sale price in Botswana Pula (BWP)?
A.P722.50
B.P127.50
C.P735.00
D.P765.00
Explanation: The discount amount is 15% of P850 = 0.15 x 850 = P127.50. The sale price is the original price minus discount: P850 - P127.50 = P722.50.
4Simplify the algebraic expression 3(2x - 5) - 4(x - 3).
A.2x - 3
B.2x - 27
C.2x + 3
D.10x - 27
Explanation: Expand both brackets: 3(2x - 5) = 6x - 15 and -4(x - 3) = -4x + 12. Combine like terms: (6x - 4x) + (-15 + 12) = 2x - 3.
5Solve the linear equation 5x - 7 = 2x + 8 for x.
A.5
B.3
C.15
D.1
Explanation: Subtract 2x from both sides: 3x - 7 = 8. Add 7 to both sides: 3x = 15. Divide by 3: x = 5.
6Factorize completely: 12a^2b - 18ab^2.
A.6ab(2a - 3b)
B.6ab(2a + 3b)
C.3ab(4a - 6b)
D.6a(2ab - 3b^2)
Explanation: Identify the highest common factor of 12 and 18, which is 6. For a^2b and ab^2, the common terms are ab. Factoring out 6ab gives 6ab(2a - 3b).
7Evaluate (81)^(3/4).
A.27
B.9
C.54
D.243
Explanation: Use the laws of indices: (81)^(3/4) = ((81)^(1/4))^3. The 4th root of 81 is 3 (since 3^4 = 81). Raising 3 to the power 3 gives 3^3 = 27.
8Share P450 among Thabo, Kagiso, and Neo in the ratio 2 : 3 : 4. How much does Kagiso receive?
A.P150
B.P100
C.P200
D.P135
Explanation: Total number of ratio parts = 2 + 3 + 4 = 9 parts. Value per part = P450 / 9 = P50. Kagiso has 3 parts: 3 x P50 = P150.
9Given the function f(x) = 4x - 7, find the value of f(-3).
A.-19
B.-5
C.5
D.19
Explanation: Substitute x = -3 into f(x): f(-3) = 4(-3) - 7 = -12 - 7 = -19.
10Find the gradient of the line passing through points A(2, 5) and B(6, 17).
A.3
B.1/3
C.4
D.-3
Explanation: Gradient m = (y2 - y1) / (x2 - x1). Substituting point coordinates gives m = (17 - 5) / (6 - 2) = 12 / 4 = 3.

About the BGCSE Mathematics 0563 Exam

The Botswana General Certificate of Secondary Education (BGCSE) Mathematics Syllabus 0563 is a national examination assessing candidates' mathematical fluency, algebraic reasoning, geometric intuition, mensuration, vectors, matrices, statistics, and probability.

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

Assessment

Written Paper 0563/01 (1 hour 30 minutes) and Paper 0563/02 (2 hours) for core candidates, plus Paper 0563/03 (2 hours 30 minutes) for extended candidates

Time Limit

0563/01: 1 hour 30 minutes; 0563/02: 2 hours; 0563/03 (extended): 2 hours 30 minutes

Passing Score

Grades A* to G (U = ungraded); Grade C or better is a credit

Exam / Certification Fees

P82.00 once-off plus P247.00 per syllabus (2026 BGCSE private candidates)

Exam sponsor website

Reported exam pass rate: Not published by BEC. BEC publishes annual national grade distributions by syllabus rather than a pass rate 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.

35%

Number and Algebra

Numerical calculations, indices, standard form, ratios, percentages, algebraic operations, linear and quadratic equations, inequalities, sequences, functions, 2x2 matrices, and 2D vectors.

30%

Shape and Space

Polygons, parallel lines, circle theorems, coordinate geometry, similarity, right-angled trigonometry, Sine and Cosine rules, 3D bearings, and geometric transformations.

15%

Measures and Mensuration

Units and rates, 2D composite area, arc length and sector area, volume and total surface area of prisms, cylinders, pyramids, cones, and spheres.

20%

Handling Data and Probability

Measures of central tendency, grouped frequency tables, cumulative frequency diagrams, histograms, box plots, probability of single and combined events, tree diagrams.

Preparing for the BGCSE Mathematics 0563 Exam

What You Need to Know

  • Passing score: Grades A* to G (U = ungraded); Grade C or better is a credit
  • Assessment: Written Paper 0563/01 (1 hour 30 minutes) and Paper 0563/02 (2 hours) for core candidates, plus Paper 0563/03 (2 hours 30 minutes) for extended candidates
  • Time limit: 0563/01: 1 hour 30 minutes; 0563/02: 2 hours; 0563/03 (extended): 2 hours 30 minutes
  • Exam / certification fees: P82.00 once-off plus P247.00 per syllabus (2026 BGCSE private candidates) 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

BGCSE Mathematics 0563: Suggested Study Strategy

1Memorize and practice applying key formulas: quadratic formula, sine rule, cosine rule, area of triangle (1/2 ab sin C), arc length, sector area, and 3D solid volume formulas.
2Master matrix operations (determinant and inverse of 2x2 matrices) and vector algebra, which frequently appear as high-value questions.
3Practice drawing and reading cumulative frequency curves to quickly determine the median, lower quartile, upper quartile, and interquartile range.
4Work through step-by-step solutions for geometric proofs involving circle theorems and similar triangles.

Frequently Asked Questions

What is the format of the official BGCSE Mathematics 0563 exam?

BEC assesses syllabus 0563 through written papers only. Core candidates sit Paper 0563/01 (1 hour 30 minutes) and Paper 0563/02 (2 hours); extended candidates also sit Paper 0563/03 (2 hours 30 minutes). None of the papers is multiple choice, so the questions on this page are a study adaptation rather than a format simulation.

What topics are tested in BGCSE Mathematics 0563?

The syllabus covers four primary domains: Number & Algebra (35%), Shape & Space (30%), Measures & Mensuration (15%), and Handling Data & Probability (20%), including advanced topics such as matrices, vectors, composite functions, and circle theorems.

Is a calculator allowed on BGCSE Mathematics 0563?

Yes, scientific calculators are permitted for Paper 2 (and Paper 1 depending on current BEC regulations). Candidates must be proficient in using scientific calculators for trigonometric, exponential, and statistical calculations.

What grade is required for tertiary admission in Botswana?

A Grade C or higher is generally considered a credit pass and is the standard minimum entry requirement for diploma and degree programs in science, technology, engineering, business, and health sciences across Botswana.