Maharashtra SSC Mathematics (MSBSHSE) study plan
Maharashtra SSC Mathematics (MSBSHSE) · Give each week a clear focus.
8 weeks · About 6 hours per week
Algebra
Solve linear equations in two variables using all three methods: elimination, substitution and cross-multiplication.
Derive and apply the quadratic formula, and classify roots using the discriminant.
Factorise quadratic and cubic polynomials using the factor theorem.
Set up and solve two word problems that reduce to simultaneous linear equations.
Your checkpoint
A handwritten sheet of 25 solved problems (10 simultaneous equations, 10 quadratic equations, 5 factorisation) with a one-line check of each answer.
Algebra
Apply the remainder and factor theorems to find unknown coefficients in polynomials.
Solve problems on arithmetic and geometric progressions, including finding the nth term and sum of n terms.
Simplify rational algebraic expressions and solve equations reducible to quadratics.
Solve a 30-mark timed algebra set in 45 minutes and log every error by type.
Your checkpoint
A timed 30-mark algebra mock scored and corrected, plus an error log listing each mistake with its cause and the corrected method.
Geometry
Prove the basic proportionality theorem (Thales) and its converse, and apply them to find unknown lengths.
State and apply the similarity criteria (AA, SSS, SAS) to solve for sides and areas.
Use the Pythagorean theorem and its converse, including the 30-60-90 and 45-45-90 ratios.
Compute areas of similar triangles using the ratio of corresponding sides.
Your checkpoint
A set of 5 written proofs (similarity and Pythagoras) in full statement-reason format, each checked against the textbook's logical steps.
Geometry & Arithmetic
Solve circle problems using tangents, the tangent-segment theorem and the alternate segment theorem.
Construct and prove results on cyclic quadrilaterals and angles subtended by the same arc.
Apply coordinate geometry formulas for distance, section and midpoint to geometric figures.
Compute simple and compound interest, and solve percentage profit-loss and discount problems.
Your checkpoint
A 40-mark mixed geometry and arithmetic test completed under exam conditions and self-marked with a corrected worked solution for every wrong answer.
Arithmetic
Solve problems on ratio, proportion and variation, including partnership-style sharing.
Compute time, speed and distance problems including relative speed and trains.
Solve time-and-work problems involving multiple workers and pipes.
Apply the mensuration formulas for surface area and volume of cylinder, cone, sphere and frustum.
Your checkpoint
A formula card plus 20 solved mensuration and commercial-arithmetic problems, with each formula used annotated on the card.
Trigonometry
Derive and memorise the trigonometric ratios for 0, 30, 45, 60 and 90 degrees, and evaluate compound expressions.
Prove standard trigonometric identities using sin squared plus cos squared equals one.
Solve height-and-distance problems by drawing a correct diagram and choosing the right ratio.
Convert between degree and radian measure and use the signs of ratios in each quadrant.
Your checkpoint
A one-page identity and ratio reference sheet, plus 8 fully solved height-and-distance problems with labelled diagrams.
Statistics & Probability
Compute mean, median and mode for grouped data using the assumed-mean and step-deviation methods.
Construct and interpret histograms, frequency polygons and ogives, and read the median from an ogive.
Calculate the probability of simple events using the classical definition and complementary events.
Solve problems on sample space and equally likely outcomes for dice, coins and cards.
Your checkpoint
A statistics-and-probability workbook with 6 grouped-data tables fully worked (mean, median, mode, ogive) and 10 probability sums with sample spaces shown.
Algebra & Geometry & Arithmetic & Trigonometry & Statistics & Probability
Complete two full-length timed papers (90 minutes each) covering all six domains.
Review the error log from weeks 1-7 and re-solve every previously missed problem type.
Drill the 10 weakest problem types identified in the mocks until each is solved correctly twice in a row.
Finalise a one-page formula sheet covering algebra, geometry, trigonometry, mensuration, statistics and probability.
Your checkpoint
Two completed full-length mock papers with scores recorded, a revised error log showing the recurring mistakes cleared, and a final one-page formula sheet.
Milestones
Week 2: Score at least 24 out of 30 on the timed algebra mock, with no repeated error type in the log.
Week 4: Score at least 28 out of 40 on the mixed geometry and arithmetic test, and write all 5 proofs without referring to the textbook.
Week 6: Reproduce the full trigonometric ratio table and all standard identities from memory, and solve 6 of 8 height-and-distance problems correctly.
Week 8: Score at least 70 percent on both full-length mocks, with every domain attempted and the error log showing no unresolved recurring mistake.