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Mathematics

From number sense in primary school to calculus and Olympiad problems in Grade 12, taught in the order a child can actually absorb.

IBCambridge (IGCSE/A-level)US Diploma + APCBSECISCE (ICSE/ISC)NIOS
Warm-up question

Practice question

A new one every visit.

Practice question
MathsGrades 1–3

3 + 4 = ?

Correct

Not quite

3 + 4 = 7

The curriculum, grade band by grade band

This is what actually gets taught. The order adapts to your child’s assessment, but the scope does not shrink.

  1. Grades 1–3

    Number sense before procedures

    • Counting, number bonds and addition facts to 20
    • Place value, and why the column method works
    • Times tables to automatic recall
    • Shapes, patterns and symmetry
    • Measurement, money and telling the time
  2. Grades 4–5

    Fractions, decimals and fluency

    • Long multiplication and division
    • Fractions as quantities rather than symbols
    • Decimals and how they relate to fractions
    • Word problems and how to translate them
    • Perimeter and area
  3. Grades 6–7

    The bridge into abstraction

    • Integers, ratios, proportion and percentages
    • Introducing algebra as generalised arithmetic
    • Linear equations and simple inequalities
    • Angles, parallel lines and polygons
    • Data handling, averages and simple probability
  4. Grade 8

    Algebra takes over

    • Exponents, square roots and standard form
    • Expanding brackets and factorising
    • Linear graphs and simultaneous equations
    • Angles, triangles and the start of proof
    • Pythagoras’ theorem and its uses
  5. Grades 9–10

    Board foundations

    • Quadratic equations and the factor theorem
    • Coordinate geometry and straight-line graphs
    • Trigonometric ratios and their applications
    • Circles, similarity and congruence proofs
    • Surface area, volume and mensuration
    • Statistics and probability for board papers
  6. Grades 11–12

    Calculus and exam technique

    • Functions, limits and continuity
    • Differentiation and its applications
    • Integration, areas and differential equations
    • Vectors and three-dimensional geometry
    • Matrices, determinants and linear programming
    • Full past papers under timed conditions

Why Maths goes wrong, and where

A child who “cannot do Maths” can almost always do Maths. What has usually happened is that one idea, two or three years back, never landed — and everything stacked on top of it since has been guesswork.

  • The gap is older than the topic

    A Grade 10 student stuck on quadratics is very often a Grade 7 student who never quite believed that a letter can stand for a number. Re-teaching quadratics more loudly does not fix that.

  • We find it before we teach

    The trial assessment is a handful of questions spanning several years of the syllabus, chosen to show exactly where the reasoning stops and the memorised procedure takes over.

  • Then we rebuild from there

    The missing idea is taught properly first, and the topics above it are revisited in order, so this year's syllabus finally has something solid to stand on.

How the classes run

Every class runs in the same three parts, in the same order each week, so your child knows what is coming and nothing gets skipped.

  • Review, marked together

    Last class's work is marked with your child rather than for them. Seeing why a mark was lost teaches more than the mark does.

  • One new idea

    Built from something they already trust, rather than handed over as a fresh rule to memorise.

  • Hard questions, out loud

    A few difficult questions worked through together and talked aloud, so the thinking is heard, not just the answer seen.

  • Short work between classes

    Twenty to thirty minutes. Long homework sets get copied or abandoned; short ones get done.

Boards and where they differ

The Mathematics is the same everywhere; the examiners are not. We practise against the paper your child will actually sit, with that board's past papers and mark schemes.

  • IB

    Analysis and Approaches expects reasoning explained in words and a graphical calculator used properly.

  • Cambridge (IGCSE/A-level)

    IGCSE splits into Core and Extended and is strict about significant figures and units; A-level adds Mechanics and Statistics on top.

  • US Diploma + AP

    The Diploma is graded on coursework across the year; AP Calculus AB and BC come down to one timed paper whose free-response half is marked on justification.

  • CBSE

    Rewards a clearly set out standard method, and penalises missing steps.

  • CISCE (ICSE/ISC)

    Asks for more Geometry and more proof.

  • NIOS

    A CBSE-shaped syllabus sat on the candidate's own schedule, which changes the revision plan more than the Mathematics.

Maths alongside Physics

A good share of the students on this page are here for Maths because of Physics. From Grade 9 the two stop being separable.

  • Motion is graphs

    Velocity is the gradient of a distance–time graph, and distance is the area under a velocity–time one.

  • Electricity is proportion

    Ohm's law is a straight line through the origin, and reading it is a ratio question.

  • Every answer needs indices and units

    Standard form, rearranging and units have to be automatic before the Physics can be the hard part.

  • One plan across both

    With the same teacher for both subjects, the Maths a Physics topic needs is taught just before it, rather than two tutors each assuming the other has covered it.

See the Science curriculum

Olympiad and enrichment

For students who find the school syllabus easy and are bored by it, there is a separate track of Olympiad-style problems. It runs alongside school work rather than replacing it.

  • Number theory

    Primes, divisibility and remainders, where a clever argument beats a long calculation.

  • Combinatorics

    Counting without listing — paths, arrangements and the patterns hiding in Pascal's triangle.

  • Geometry beyond the textbook

    Constructions and proofs that need an idea rather than a formula.

  • Alongside, not instead

    School topics stay on schedule; the harder problems are the stretch on top.

Try a Mathematics class, free

Thirty minutes with your child, a written assessment, and a term plan for this subject specifically. No card details.

Or email hellotutorwyz.com