The Route to 95: Class 11

Your progress

Checkpoint results by chapter and step.

The four steps in every chapter

Class 11 maths is examined by your school, on CBSE's syllabus: 80 marks of theory and 20 of internal assessment. The questions here use the same kinds of question as the board papers you will sit later.

Move on when the checkpoint is passed (80%). A checkpoint missed twice in a row means going back one step.

A plan for the school year

About 146 hours of chapter work in all (our estimate; schools teach at different speeds, so follow your school's order where it differs).

• April to September: chapters 1 to 7 as your school teaches them, steps 1 to 3 of each within two weeks of finishing it in class; step 4 when step 3 is passed.
• Before each school exam: two weeks of mixed practice on every chapter it covers, using each chapter's "where marks are lost" list.
• October to January: chapters 8 to 14, the same way, plus step 4 on the earlier chapters.
• The last four weeks before the annual exam: step 2 and 3 checkpoints of every chapter again, closed book and timed, and redo every question that loses a mark.

The weekly rhythm

What steps 3 and 4 ask, chapter by chapter

Each chapter's last two steps (full marks on long answers, then the 95+ stretch) and what you can do once their checkpoints are passed.

• Sets: step 3, prove set identities by elements and answer multi-part Venn-diagram questions; step 4, reason with subsets and the distributive laws and handle tricky interval end-points.
• Relations and Functions: step 3, analyse modulus, signum, greatest integer and rational functions fully, with their graphs in mind; step 4, reason about ranges of less obvious functions and about products of sets.
• Trigonometric Functions: step 3, prove identities with sum-to-product and multiple-angle formulae and answer applied case studies; step 4, find exact values such as tan(5π/12) and handle chains of identities.
• Complex Numbers and Quadratic Equations: step 3, combine the properties of modulus and conjugate in longer calculations and in circuit or rotation contexts; step 4, solve equations in z = x + iy and interpret them on the Argand plane.
• Linear Inequalities: step 3, model budgets, marks and speeds with inequalities and give whole-number answers where needed; step 4, solve systems of three inequalities and count integer solutions.
• Permutations and Combinations: step 3, combine selection and arrangement in multi-part problems about words, numbers and teams; step 4, handle divisibility and digit restrictions and 'must include / must exclude' selections.
• Binomial Theorem: step 3, prove divisibility results and combine (a + b)ⁿ ± (a − b)ⁿ in multi-part questions; step 4, compare sizes of powers and reason about sums of coefficients.
• Sequences and Series: step 3, sum series built from GPs and model bouncing balls and savings plans; step 4, use AM ≥ GM and combine conditions on S∞ and partial sums.
• Straight Lines: step 3, combine line equations, distances and areas in triangle problems; step 4, find lines at a given angle, reflections of points and distances between parallel lines.
• Conic Sections: step 3, analyse a conic fully, including chords, tangency to axes and the focus property in applications; step 4, find a conic from points on it and use the defining distance properties.
• Introduction to Three Dimensional Geometry: step 3, classify quadrilaterals in space and handle loci with the distance formula; step 4, find distances from axes and loci of equidistant points.
• Limits and Derivatives: step 3, handle limits needing surds or trigonometric rewriting and use derivatives as rates of change; step 4, find constants that make a limit exist and prove standard derivatives from the definition.
• Statistics: step 3, compare the spread of two data sets and interpret the result; step 4, work backwards from a mean and variance to missing or corrected values.
• Probability: step 3, solve multi-part problems with dice, cards, committees and survey data; step 4, combine mutually exclusive cases and complements in less direct questions.

Chapter order and hours