Online · ICSE Class 10 · Mathematics · CISCE
Online ICSE Class 10 Maths tuition — every section of the syllabus in three months.
Live online classes on Google Meet, from anywhere in India or abroad. Commercial Mathematics, matrices, loci, constructions and the graph-paper work that decides Section B — all of it taught, none of it skipped. Monday to Wednesday, plus a fourth ICSE-only class on most Fridays, 6:30 to 7:30 pm. Taught by Swastik Sahal — thirteen years on this paper.
- ₹500 trial class
- Live online on Google Meet
- All eight ICSE sections
- Four classes a week, most weeks
- A written test every Sunday
- Graph paper and four-figure tables drilled
- One teacher, every session
- Class days
- Mon · Tue · WedThe same three days every week
- Fourth class
- Most FridaysICSE only — nine of the thirteen weeks
- Class timing
- 6:30–7:30 pmLive online · Indian time
- Test
- Every SundayWritten, in the CISCE paper pattern
- Fee
- ₹6,000a month. Or ₹15,000 for the 3 months.
Before anything else
Who this batch is for.
This is a board-exam batch for a student whose basics are already in place. It moves at the pace of the syllabus and it assumes the ground underneath is solid.
Right for your child if
- The fundamentals from Class 8 and 9 are sound — they can factorise, handle fractions and negatives, and rearrange an equation without stopping to think.
- They follow the chapter in school but lose marks in the paper — usually on working, not on the answer.
- They can do a question when shown, but not cold and not under time.
- They are scoring somewhere in the sixties to eighties and want the paper, not the concept, sorted.
- They will do the practice between classes. That is where most of the improvement happens.
Not right if
- The gaps are older than Class 10. If algebra from Class 8 was never properly built, this batch will move too fast and the marks will not follow.
- You are looking for supervision of homework. This is a taught course with its own sequence.
- You need timings other than 6:30 to 7:30 pm.
- You want a guarantee of a particular mark. I do not give those, and I would be sceptical of anyone who does.
If the basics are the problem, say so and I will point you elsewhere
Roughly a third of the Class 10 students who come to me are not actually stuck on Class 10. They are stuck on something from Class 8 that nobody caught. Putting that student in a board batch wastes three months and their confidence.
For that, Ankuram runs a separate Foundation Programme in small batches, entered through a ₹750 written diagnostic that tells you exactly where the gap actually is. Message me and I will tell you honestly which of the two your child needs — including when the answer is neither.
Every concept, section by section
What is actually taught, and on which day.
The full CISCE Class 10 Mathematics syllabus, section by section, in the order it is taught. Nothing here is padding — this is the teaching plan.
CISCE does not publish a section-wise mark weightage for Mathematics, so none is claimed here. The order is chosen instead: trigonometry first, Commercial Mathematics and Algebra last, because those are the two largest blocks of pure method and you want them freshest going into the paper.
Trigonometry
Weeks 1–3- Trigonometric ratios of an acute angle, and why the ratio does not change with the size of the triangle
- Exact values at 0°, 30°, 45°, 60° and 90°, answered in surd form
- Secant, cosecant and cotangent as examined ratios in their own right
- All three identities for 0° ≤ A ≤ 90°: sin²A + cos²A = 1, 1 + tan²A = sec²A, 1 + cot²A = cosec²A
- Proving identities, simplification, and elimination of trigonometric ratios — the elimination question is the one most students have never been taught to start
- Ratios of complementary angles, and direct application
- Reading natural sines, cosines and tangents from the table
- Interpolating with the mean-difference columns, and the direction of correction for a decreasing function
- Working an angle back from a ratio — the reverse lookup that heights-and-distances questions need
- Angle of elevation, angle of depression and the line of sight, with the diagram drawn correctly before any number is written
- Two-dimensional problems, restricted by the syllabus to a maximum of two right-angled triangles
- The horizontal line of sight — the single most common reason a depression question goes wrong
- Full past-paper set, worked with tables rather than approximated
Co-ordinate Geometry
Weeks 4–5- The distance formula, derived from Pythagoras rather than memorised blind
- The mid-point formula
- The section formula for a ratio m : n — internal division, as the syllabus specifies
- The centroid of a triangle from the coordinates of its vertices
- Collinearity of three points, and the sign errors that ruin it
- Slope of a line, and slope as m = tan θ
- Slope from two points; what the y-intercept actually means on the diagram
- Slope–intercept form y = mx + c and point-slope form y − y₁ = m(x − x₁)
- Parallel lines (m₁ = m₂) and perpendicular lines (m₁m₂ = −1)
- Conditions for collinearity, and the multi-part question that builds a whole figure from two given points
- Reflection of a point in x = 0, y = 0, x = a, y = a and in the origin
- Invariant points, and how to state them in the way the examiner is looking for
- Reflection of simple figures, and combinations of reflections
- Graph-paper technique: scale, labelling and the marks that sit in the drawing itself
Geometry
Weeks 6–7- Similarity as a size transformation — enlargement, reduction and the scale factor k
- The SSS, SAS and AA conditions, which the syllabus gives rather than asks you to prove
- The Basic Proportionality Theorem and its applications
- Areas of similar triangles in the ratio of the squares of corresponding sides; areas and volumes of similar solids in k² and k³
- Maps and models — where a single scale factor has to be applied at three different powers in one question
- What a locus is, and the habit of describing it in words before drawing it
- The locus of a point equidistant from a fixed point
- The locus of a point equidistant from two intersecting lines — the pair of angle bisectors
- The locus of a point equidistant from two fixed points — the perpendicular bisector
- Locus-based constructions on a triangle, including the incentre and circumcentre
- The angle at the centre is double the angle at the remaining circumference; angles in the same segment; the angle in a semicircle
- Cyclic quadrilaterals: opposite angles supplementary, the exterior angle result, and concyclic points
- The tangent is perpendicular to the radius at the point of contact; two tangents from an external point are equal
- Two circles touching, and the point of contact lying on the line of centres
- Intersecting chords, internally and externally, and the tangent–secant result
- The alternate segment theorem, and recognising when a question is actually asking for it
- Tangents to a circle from an external point
- The circumcircle of a triangle
- The incircle of a triangle
- Circumscribing and inscribing a circle on a regular hexagon
- Leaving every construction arc visible — marks are lost here for tidiness, not for error
Mensuration
Week 8- Right circular cylinder — curved and total surface area, volume, and the hollow cylinder with inner and outer radius
- Right circular cone — slant height, curved and total surface area, volume
- Sphere, hemisphere and hollow hemisphere
- Combinations of solids, and the trap of adding two total surface areas when the joining face is internal and should not be counted
- Conversion of solids — melting and recasting, where volume is conserved
- Cost, capacity and inner-versus-outer volume problems
- Keeping π as 22/7 to the last step instead of multiplying decimals early
Statistics
Week 9- Arithmetic mean for raw, arrayed and grouped data by the direct, short-cut and step-deviation methods, and knowing which to pick
- Median and mode for raw, arrayed and grouped data
- Quartiles, and building the cumulative frequency table cleanly
- Discontinuous class intervals, and correcting them before anything else is done
- Drawing a histogram to scale, and finding the mode from it by construction lines
- Drawing a "less than" ogive from a cumulative frequency table
- Estimating the median, the lower and upper quartiles and the inter-quartile range from the curve
- Choosing the scale so the reading is actually possible — the decision that quietly costs the most marks in this section
Probability
Week 10- Random experiments, outcomes and sample space, written down before anything else
- P(E) as favourable outcomes over total outcomes
- Single events only — coins, dice, playing cards and marbles, which is exactly where the syllabus stops
- The restricted sample space, where cards are removed from the deck before the question begins
Algebra
Weeks 11–12- Solving by factorisation
- The quadratic formula — memorised, because no formula sheet is given
- The discriminant b² − 4ac and the nature of the roots
- Equations reducible to quadratic form
- Word problems: speed–distance–time, work and rate, area — forming the equation is the hard part, and rejecting the negative root is the mark most often dropped
- The Remainder Theorem
- The Factor Theorem
- Factorising a polynomial of degree not exceeding three, given one factor or by trial
- Linear inequations in one unknown for x in N, W, Z and R — and why the answer changes with the set
- Solving algebraically, and the sign reversal on multiplying or dividing by a negative
- Writing the solution set properly, in set-builder or roster form
- Representing the solution on a number line; combined and double inequations
- Proportion, continued proportion and the mean proportional
- Componendo and dividendo, alternendo and invertendo
- Combinations of them — recognising from the shape of the expression which one to apply, which is the whole difficulty of this chapter
- Order of a matrix; row and column matrices; equality and transpose
- Compatibility for addition and for multiplication
- The null matrix and the identity matrix
- Addition and subtraction of 2 × 2 matrices; multiplication by a non-zero rational number and by another matrix
- Solving for unknown entries from a matrix equation
- AP: the nth term and the sum of the first n terms, derived rather than quoted
- GP: the nth term and the sum of the first n terms
- Applied problems where the progression is hidden inside a real situation and has to be spotted first
Commercial Mathematics
Weeks 10 & 13- Computing tax where discount, list price, cost price, profit and loss are all in play at once
- CGST, SGST and IGST, and deciding which applies before calculating anything
- Intra-state and inter-state supply chains
- Input tax credit, and the GST actually payable at each stage of a trading chain
- Inverse problems — recovering the list price or the rate of GST from the tax paid
- The interest formula I = P × n(n+1)/24 × r/100, and where the n(n+1)/24 comes from, so it is recoverable if memory fails
- Maturity value MV = Pn + I
- Inverse cases — finding the monthly deposit, the number of months, or the rate
- Face value, market value, premium and discount — the vocabulary that this whole chapter turns on
- Number of shares, dividend income and percentage return
- Comparing two investments, and the "change of investment" question
- Where the syllabus stops: brokerage and fractional shares are not included
The paper itself
Week 13- Section A and Section B: what to attempt first, and how to use the choice in Section B rather than be caught by it
- Using the fifteen minutes of reading time to choose questions, not to start solving
- Showing essential working — the printed instruction says its omission loses marks, and it is enforced
- Splitting the three hours across the paper, with the graph-paper questions costed honestly
- Internal assessment: what the remaining 20 marks are made of, and how the assignments are marked
How the ICSE Mathematics paper is actually set
One paper, 80 marks, with 20 more from internal assessment. Three hours, plus fifteen minutes of reading time in which nothing may be written.
Section A carries 40 marks and every question is compulsory. Section B carries 40 marks, and four questions are attempted out of the six printed.
Mathematical tables are provided in the examination hall. No formula sheet is given, so every formula — the quadratic formula, the mensuration set, the section formula, the recurring-deposit formulas — has to be recalled.
Two printed instructions matter more than parents usually realise: all working, including rough work, must be on the same sheet as the answer, and omission of essential working will result in loss of marks. A correct answer with the middle missing is not a full-mark answer.
What is not in the ICSE Class 10 syllabus — and is still in a lot of coaching material
Several topics sit just outside the syllabus but keep turning up in question banks and in material written for other boards. No class time goes to them here:
Compound Interest — a Class IX topic, not Class X · the frustum of a cone — three-dimensional solids are restricted to the cylinder, cone and sphere · matrix inverse and determinants · brokerage and fractional shares · heights and distances involving more than two right-angled triangles · compound and conditional probability, and tree diagrams · proofs of the circle theorems, which are applied but not proved.
If your child has been set homework on any of these recently, that is worth knowing.
What happens in a class
I solve the hard ones. Then they solve them again, alone.
- Last week's worksheet comes back firstTwo questions from it, answered on screen. It takes a moment, and it tells the room that the work is checked.
- The concept, from meaningNot the formula first. What the idea actually says, why it is true, and where the paper tends to ask about it.
- I solve the questions that recurChosen from thirteen years of watching which ones come back. I think aloud while solving — why this construction, why this substitution, where the marks sit in the working.
- They try one, unaidedOne question, silence, then the solution. This is the only unassisted work that happens in the room.
- The work is setEvery question I solved, re-solved independently at home. Then the worksheet. Every worksheet question is taken up in the next class — all of them, not a selection.
Plus a written test every Sunday, ninety minutes, on its own link, in the CISCE paper pattern with the Section A and Section B split. Results reach me before Monday, and the questions the batch got wrong are re-taught rather than left behind.
Graph-paper questions are written on graph paper, and constructions with a compass. Those marks are earned on paper, not on a screen, so that is how they are practised.
Fees
₹6,000 a month. Or ₹15,000 for the whole course.
Start with a single ₹500 trial class. After that, pay monthly or pay once for the whole course and save ₹3,000.
Start here
₹500 for one trial class
One class, before you commit to anything.
- A full class with the batch
- A written assessment of where your child stands
- No automatic enrolment
Payment by UPI to 7396669430 — GPay, PhonePe or Paytm.
Monthly
₹6,000
a month, paid at the start of each month
- Every class that month
- That month's ICSE-only Friday classes
- Every worksheet and Sunday test
Full course
₹15,000
pay once for all 3 months — you save ₹3,000
- All 48 classes
- All 13 Sunday tests
- All 9 ICSE-only Friday classes
- The complete worksheet set
Who teaches it
Swastik Sahal
Instructor, Ankuram Tuition Centre. Thirteen years teaching Class 10 Mathematics. I take every session in this batch myself — there is no panel of tutors and nobody else is assigned to your child.
Most of what I bring to a board year is not the syllabus. It is knowing which questions keep coming back, which steps the marker is actually paying for, and which chapter a dropped mark really came from.
Enquiries
Enquire about the batch.
Four details, then WhatsApp opens with your message ready to send.
Questions parents ask
Before you book.
Which days exactly, and what if we miss one?
Monday, Tuesday and Wednesday every week, at 6:30 to 7:30 pm. On top of that there is a fourth class on Friday in most weeks — nine of the thirteen — and that one is ICSE-only: tables, loci, constructions, the graph-paper work, Commercial Mathematics, ratio and proportion, matrices. And a written test every Sunday.
That comes to 48 classes and 13 tests over the three months.
If a class is missed, the worksheet still comes to you and the questions are still expected. Message me and I will tell you which two matter most from what was missed.
Is Commercial Mathematics actually taught, or assumed?
Taught. GST gets its own Friday session, and recurring deposits and shares and dividends are taught in week 13, after the compound-growth idea they both rest on has been done.
It is worth saying why it gets that much room: Commercial Mathematics is pure method, it carries a serious block of marks, and it transfers nowhere else in the paper — which is exactly why students who leave it to the end lose marks on it.
How is the graph-paper and construction work handled online?
On paper, at your child's desk. Histograms, ogives, reflections and the four constructions are drawn with a real scale, pencil and compass while I work the same question on screen, and the finished sheet is photographed and sent to me.
Those marks are earned in the drawing itself — the scale chosen, the arcs left visible, the construction lines to the mode — so they cannot be practised on a screen and are not.
Are the four-figure tables taught, or do you use a calculator?
Tables. Mathematical tables are provided in the ICSE examination hall, and reading and interpolating from them is an examined skill, so that is how trigonometry is worked in class from week one.
On what your child may carry into the examination itself, follow the current CISCE instruction as your school states it — that is the only version that counts.
Three months for the whole syllabus — is that realistic?
It is realistic for a student whose basics are sound, and only for that student. Class time goes to the questions that recur and the technique that earns marks; the volume practice happens at home, about an hour for each class attended. If the fundamentals are not there, three months is not enough and I will say so rather than take the fee.
Is it online or in person?
This batch is fully online, on Google Meet. Students anywhere in India or abroad attend the same live class; timings are Indian Standard Time. Nothing is pre-recorded — I am teaching it live, and questions are asked and answered in the session.
If you are in Hyderabad and would rather have in-person, small-batch teaching with a written diagnostic first, message me and I will tell you what is running.
What do the Sunday tests look like?
Ninety minutes, delivered on a link, set in the CISCE pattern with a compulsory section and a section with choice. Answers are worked in the notebook as they would be in the examination, with the working shown. Results come to me before Monday, and where the batch has gone wrong the concept is re-taught rather than left behind.
How much homework is there?
About an hour per class. Every question I solve in class is re-solved independently at home, then the worksheet. It is not optional — the class is built around that work coming back done.
Can we join after the batch has started?
Yes. You get the recordings and worksheets for the weeks already covered on the day you enrol, and the syllabus continues into the next run, so nothing is missed.
Will you guarantee an improvement in marks?
No. I do not guarantee a particular mark, and I would be sceptical of anyone who does. What I will do is tell you after the trial class what I actually think, including if I think this is the wrong fit for your child.
Do you also teach Class 10 Science, or other classes?
Ankuram teaches Maths and Science across Grades 1 to 12, in small batches and other formats. This page is the ICSE Class 10 Maths board batch specifically. Message me with what you need and I will tell you what fits.
How do I reach you?
WhatsApp, on +91 73966 69430. Enquiries are answered personally.
Questions before you decide?
On the batch, your child's current marks, or whether this is the right fit.