The quadratic year, rebuilt for rapid revision. Surds, quadratic equations by every method, algebraic fractions, functions and coordinate geometry, engineered into 57 pages you can master in one afternoon.
Year 10 · Grade 10Ages 14–16Mathematics · Algebra57 pages
Pages
57
Format
A4 PDF
Access
Lifetime
Delivery
Instant
Overview
This is the whole Year 10 algebra year — the quadratic year — rebuilt for revision and one level up from Series No. 03. Fifty-seven pages take a student from surds and fractional indices, through solving quadratics by factorising, completing the square and the formula, into algebraic fractions, functions, coordinate geometry and sketching curves from algebra — then straight into an Exam Lab that rehearses it all under pressure.
It is designed to be skimmed in thirty minutes the night before a test, or worked through properly in two to four hours for a genuine, lasting grip on the year. Every calculation and worked solution has been verified, and the coverage is checked against the shared core of the UK, US, Canadian, Australian, New Zealand and Singapore programmes.
Look inside
A few pages from the book — tap any page to enlarge.
Who it’s for
Students in Year 10 / Grade 10 (ages 14–16) preparing for GCSE-style and equivalent exams
Anyone who finished the Year 9 crash course and is ready for the next level
Parents looking for a rigorous, screen-light revision resource that actually gets used
Anyone moving between the UK, US, Canada, Australia, New Zealand or Singapore systems
Topics included
Surds & Fractional Indices — simplifying surds, rationalising the denominator and fractional powers
Quadratic Equations — factorising, completing the square, the formula and the discriminant
Algebraic Fractions — simplify, multiply, divide, add, subtract and solve
Functions — f(x) notation, composite fg(x) and inverse f⁻¹
Coordinate Geometry — gradient, perpendicular lines, midpoint and length
Sketching Curves — parabolas from factors, the vertex, cubics, reciprocals and exponentials
Exam Lab — the LAUNCH method, a 24-question mixed review and full solutions
What your child will be able to do
Simplify and rationalise surds and evaluate fractional indices
Solve any quadratic by factorising, completing the square or the formula
Simplify and solve algebraic fractions, including the subject appearing twice
Work confidently with function notation, composite and inverse functions
Find equations of lines, perpendiculars, midpoints and lengths, and sketch curves from algebra
What’s inside
Formula library
Glowing formula cards: the rule, what it means, when to use it, why it works, and a worked example.
3-level worked examples
Every method shown at three levels of difficulty, so the step up is never a cliff.
Trap-and-fix pairs
The wrong working beside the right working, so misconceptions get corrected on sight.
32 numbered key facts
The non-negotiables of the year, numbered 01–32 for fast last-minute review.
The Mistake Museum
Twelve exhibits of the errors that cost real marks, each one defused.
Exam Lab + cheat sheets
The LAUNCH method, worked missions, a 24-question mixed review with solutions, and two cheat sheets.
Frequently asked questions
Is this an instant download?
Yes. The moment your payment is confirmed, your PDF unlocks on the confirmation screen and a secure download link is emailed to you. No waiting, no manual approval.
What format is the file?
A print-ready A4 PDF of 57 pages. It opens on any phone, tablet or computer and prints cleanly at home if your child prefers paper.
Which curriculum does it follow?
It covers the shared core of Year 10 / Grade 10 algebra across the UK, US, Canada, Australia, New Zealand and Singapore systems, cross-checked against Oak National Academy units, Singapore Sec 3 and the GCSE higher spine. No single exam board is assumed.
How do I pay, and in which currency?
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