2026 BECE Mathematics Topics, Essential Formulas & Questions

Mathematics for the 2026 BECE under the Common Core Programme (CCP) is designed to test your ability to apply logic to real-life situations. To excel, you must not only memorize these formulas but understand the Master Rules for when and how to use them.

Core Formula Reference Table

Use this updated table to master the most critical calculations for your exam

Topic Area	Actual Formula / Key Rule
Consumer Arithmetic	Profit % = Profit Cost Price × 100 Simple Interest (I) = P × R × T 100 Compound Amount (A) = P(1 + r/100)ⁿ
Mensuration (Plane)	Circle Area = πr² \| Circumference = 2πr Trapezium Area = ½(a + b)h Triangle Area = ½ × base × height
Mensuration (Solids)	Cylinder Volume = πr²h \| C.S.A = 2πrh Sphere Volume = ⁴⁄₃πr³ \| Surface Area = 4πr² Cone Volume = ¹⁄₃πr²h
Algebra & Trig	Pythagoras: a² + b² = c² Trig (SOH CAH TOA): sin(θ) = Opp/Hyp \| cos(θ) = Adj/Hyp \| tan(θ) = Opp/Adj Quadratic Formula: x = -b ± √(b² – 4ac) 2a
Vectors & Stats	Magnitude of Vector \|v\| = √(x² + y²) Mean (x̄) = ∑fx ∑f Probability P(E) = Favourable Outcomes Total Outcomes

2. Master Rules for 2026 CCP Questions

To ensure you don’t just solve questions but score full marks, apply these Master Rules across the six major strands.

A. Number & Numeration (The Foundation)

The Power Rule (Indices): When multiplying the same base, ADD the powers ($a^m \times a^n = a^{m+n}$). When dividing, SUBTRACT them.
Binary Operations: When working with Number Bases, always convert to Base 10 first if you are unsure, then convert to the required base.
Venn Diagram Logic: In Sets, always start from the innermost intersection (e.g., $A \cap B$) and work outwards to avoid double-counting.

B. Algebraic Processes (Reasoning)

Change of Subject: To isolate a variable, do the OPPOSITE operation (if it’s $+$, use $-$; if it’s $\times$, use $\div$).
Inequality Flip: When you multiply or divide an Inequality by a negative number, you MUST flip the sign (e.g., $<$ becomes $>$).

C. Geometry & Trigonometry (Spatial Awareness)

The Right-Angle Rule: Before using Pythagoras or Trig (SOH CAH TOA), verify the triangle has a $90^\circ$ angle.
Angle Sums: Remember the basics: Angles on a straight line = $180^\circ$; Angles in a triangle = $180^\circ$; Angles in a quadrilateral = $360^\circ$.

D. Mensuration (Practical Application)

The Height Rule: In Area of a Triangle or Trapezium, always use the perpendicular height, not the slant height, unless the slant is required for a different step.
Unit Watch: Ensure all measurements are in the same units (e.g., all cm or all m) before starting your calculation.

E. Consumer Arithmetic (Life Skills)

Interest Differentiation: Simple Interest is calculated only on the Principal. Compound Interest adds previous interest back to the Principal for the next period.
Hire Purchase: Total Cost = Deposit + Total Installments. Subtract the Cash Price from this to find the “Extra Cost” or interest paid.

F. Vectors & Matrices (Technical Fluency)

Vector Order: In Vector Addition, you simply add the top numbers ($x$) and the bottom numbers ($y$) separately. Never mix them!
Matrix Multiplication: This is Row $\times$ Column. Ensure the number of columns in the first matrix matches the number of rows in the second matrix.

2026 BECE Mathematics: CCP Inquiry-Based Practice

Question 1: A trader at Madina Market bought a bag of maize for GH₵ 400.00. She spent GH₵ 50.00 on transportation and GH₵ 30.00 on storage. If she wants to make a profit of 20% on her total expenditure, calculate the selling price of the bag of maize.