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100+ Free BGCSE Mathematics 0563 Practice Questions

Botswana BGCSE Mathematics (Syllabus 0563) practice questions are available now; exam metadata is being verified.

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2026 Statistics

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 test your BGCSE Mathematics 0563 exam readiness. 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 Practice Questions

Verified exam format metadata for Botswana BGCSE Mathematics (Syllabus 0563) is pending. The practice questions above remain available while official exam length, timing, passing score, fee, and administrator details are reviewed.