WBBSE Madhyamik Mathematics study plan

Revise ratio, proportion and variation, and solve 25 mixed problems without calculator shortcuts

Convert recurring decimals to fractions and back, and classify terminating versus non-terminating cases

Compute simple and compound interest including half-yearly and quarterly compounding, showing each step

State and apply the unitary method to at least 10 real-life word problems

Build a one-page error log of every arithmetic mistake made this week with the corrected step

Solve partnership, profit-and-loss and discount problems by setting up a single working equation

Apply the theorems on ratio of areas of similar triangles to arithmetic-style mensuration word problems

Work through time-work and pipes-cistern problems using the LCM (efficiency) method

Handle percentage, successive discount and tax problems to two decimal places accurately

Re-attempt every question from the Week 1 error log and confirm each is now correct

Factorise polynomials using grouping, difference of squares, and the sum and difference of cubes

Simplify algebraic fractions and state the domain restrictions for each simplification

Solve linear equations in two variables by substitution, elimination and cross-multiplication

Apply the remainder and factor theorems to find unknown coefficients

Set up and solve at least 8 word problems that translate into a pair of linear equations

Derive and use the quadratic formula, and judge the nature of roots from the discriminant

Solve quadratic equations by factorisation, completing the square and formula, choosing the fastest method each time

Form quadratic equations from given roots and from word problems on ages, areas and speeds

Solve ratio-and-proportion and variation problems that reduce to a quadratic equation

Explain aloud, in under 3 minutes, the link between the discriminant and the graph of a quadratic

State and prove the theorems on angles subtended by the same arc and the cyclic quadrilateral

Prove the midpoint theorem and the basic proportionality (Thales) theorem from first principles

Construct and justify the similar-triangle criteria used in Madhyamik riders

Solve at least 10 geometry riders, writing the reason for every step in the accepted format

Identify which construction lines unlock a rider before writing any proof

Apply circle theorems on tangents, chords and the alternate segment to multi-step riders

Compute areas of triangles, quadrilaterals and circles, and areas swept by sectors of a circle

Find surface areas and volumes of cylinders, cones, spheres and their combinations

Use the values of trigonometric ratios at 0, 30, 45, 60 and 90 degrees fluently in simplification problems

Prove standard trigonometric identities and use them to eliminate a variable between two equations

Solve heights-and-distances problems by drawing the correct right triangle and choosing the right ratio

Compute mean, median and mode for grouped data, including the assumed-mean and step-deviation methods

Read and construct cumulative frequency ogives and find the median from them

Find the distance between two points and the coordinates of a point dividing a segment in a given ratio

Find the area of a triangle from its vertex coordinates and check collinearity with it

Complete three full-length timed mock papers under exam conditions and mark them honestly

Triage each mock to list the top three recurring error types and drill only those

Rehearse the standard answer format for proofs and constructions so no marks are lost on presentation

Memorise the full formula sheet through active recall rather than re-reading

Plan a realistic time budget per section for the actual paper