Free · CBC-Aligned · Expert-Led
Generate randomised problems, check your answers, and study full step-by-step solutions — aligned to the CBC Senior Secondary mathematics curriculum. No account needed. Always free.
Select any CBC-aligned topic, generate a randomised problem, attempt it on paper, enter your answer, and see the full step-by-step solution instantly. Results are saved automatically to your progress tracker.
Type any mathematics question in plain English or standard notation. The built-in solver covers all 13 topics — from simple differentiation through to eigenvalues, probability, or the volume of a frustum. Detailed, step-by-step working is always shown.
Upload a clear photo of a printed or handwritten mathematics problem and the system will read it automatically and attempt a solution. Works best with printed text and clearly written numerals.
Study these fully worked examples before using the generator. Each is presented in the exact format used in KCSE and CBC Senior Secondary assessments — a problem, then a complete numbered solution with the rule or method stated first.
Find dy/dx for y = 3x⁴ − 5x² + 7x − 2
Evaluate ∫(2x³ − 3x + 4) dx
Find det(A) for A = [[2, 3], [1, 5]]
Find the mean and standard deviation of: 4, 7, 9, 6, 4
In △ABC, a = 5, b = 7, C = 60°. Find c.
If a = (3, 4, 0), find |a| and â
The practice covers every mathematics topic in the CBC Senior Secondary curriculum, from foundational Applied Mathematics through to advanced Pure Mathematics and Calculus. Each topic includes multiple problem types with fully worked solutions.
Power rule, product rule, quotient rule, chain rule. Polynomials, trig, exponentials, logarithms, and applications to turning points and rates of change.
Indefinite and definite integration, reverse power rule, trig, exponentials, natural logarithms, substitution, and area under a curve.
Direct substitution, indeterminate forms, L'Hôpital's Rule, one-sided limits, continuity of functions, and limits at infinity.
Linear and quadratic equations, simultaneous equations, factorisation, the discriminant, and algebraic inequalities.
Logarithm laws, solving log and exponential equations, change of base formula, natural logarithm, and financial applications.
Arithmetic and geometric progressions, nth term, sum formulas, sum to infinity, and convergence of geometric series.
Cartesian form, modulus, argument, conjugate, arithmetic of complex numbers, Argand diagrams, and polar form.
Evaluate trig functions, solve equations over given ranges, sine rule, cosine rule, Pythagoras, and fundamental identities.
Mean, median, mode, range, standard deviation, variance, probability, combinations, and permutations.
Determinants, inverses, matrix multiplication, eigenvalues, transpose, and solving linear systems using matrices.
Magnitude, dot product, cross product, unit vectors, angle between vectors, perpendicularity, and position vectors in 2D and 3D.
Area of plane shapes, composite figures, sectors, segments, surface area of 3D solids, and Heron's formula.
Volume and surface area of cylinders, spheres, cones, pyramids, prisms, frustums, and composite solids.
The practice is built on a single educational principle: active problem-solving produces deeper learning than passive reading. Every time you attempt a problem — even incorrectly — your brain engages with the material at a level that simply reading a textbook never achieves. This is called the testing effect, one of the most well-supported findings in cognitive science.
Click Generate a Problem and choose one of the 13 CBC-aligned topics. A fresh, randomised question appears — write it down and attempt it yourself before typing anything into the answer box. Once you have an answer, submit it: you will receive instant feedback and a complete step-by-step solution. Reading through the solution carefully — even when correct — is where the real learning happens.
For questions not covered by the generator, use the Ask Any Question box. Type your problem in plain English or standard mathematical notation and the built-in solver will work through it with full working. If still stuck, post it on the Ask Mwalimu board and receive a personal reply.
Research in educational psychology consistently shows that four practices produce the best long-term retention and examination performance.
Always work through the problem on paper before checking the solution. Even a wrong attempt forces your brain to engage deeply with the material. The moment of discovering why your answer was wrong is more memorable than any amount of passive reading.
When the solution appears, read each numbered step carefully — not just the final answer. Notice which rule or formula was applied at each step, and what common errors the solution avoids. This builds your mathematical intuition over time.
Generate 3–5 problems on the same topic before moving to the next one. Spaced repetition — returning to a topic after an interval — dramatically improves long-term recall.
Your accuracy and topic history are saved automatically. Visit My Progress regularly to identify which topics have the lowest accuracy — those are the areas that need the most practice before your examination.
Based on years of teaching and reviewing KCSE marking schemes, these are the most frequently penalised mistakes in each topic area. Knowing them in advance saves marks.
Forgetting to bring the power down before reducing the index. Also, treating the derivative of a constant as the constant itself rather than zero.
Omitting the constant of integration + C in indefinite integrals — this is an automatic mark deduction in virtually every KCSE marking scheme.
Reversing the determinant formula: it is always ad − bc, never ad + bc. Also, attempting to find the inverse of a singular matrix (det = 0).
Confusing the magnitude (a scalar value) with the vector itself. For two vectors to be perpendicular, their dot product must equal exactly zero.
Using degrees when the formula requires radians — particularly in sector area (A = ½r²θ) and arc length (L = rθ) formulas where θ must be in radians.
Confusing the nth term formula with the sum formula. For a GP sum to infinity, always verify that |r| < 1 before applying S∞ = a/(1−r).
Forgetting that i² = −1 when expanding brackets. Also, giving only the modulus when the argument (angle) is also required in full polar form.
Omitting the factor of 1/3 in the cone and pyramid volume formulas. Always state units³ (cm³, m³) in the final answer — unit marks exist.
Return to the full lesson library for theory, deeper explanations, and more worked examples — or check your progress and achievements.