The geometry every examination is built on. Angle laws that carry their reasons, Pythagoras and the trigonometric ratios, area and volume for every shape, column vectors, loci and constructions.
Year 11 · Grade 10Ages 15 to 16Two editions · Study + ScreenMathematics · Geometry57 pages · 7 parts
Pages
57
Format
2 PDF editions
Access
Lifetime
Delivery
Instant
Overview
This is the whole Year 11 geometry year. Angle laws and polygon sums with the reason attached to every step, Pythagoras and the three trigonometric ratios in two and three dimensions, area and circle formulas, prisms, pyramids, cones and spheres, column vectors, loci and constructions, then an Exam Lab that rehearses all of it under timed conditions.
It can be read in an evening, or worked through properly across a weekend for a 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 programs.
Look inside
Six pages from the volume. Open the reader to turn between them, and to switch the same page between the Study and Screen editions.
Who it’s for
Students in Year 11, US Grade 10, ages 15 to 16, who want the whole year in one place
Parents looking for a rigorous, screen-light revision resource that actually gets used
Stronger students ready to stretch into Level 3 material such as both-sides equations and midpoints
Anyone moving between the UK, US, Canada, Australia, New Zealand or Singapore systems
Pythagoras and the Trig Ratios: Pythagoras and its converse, 3-D diagonals, finding sides, finding angles
Area and Circles: area rules, circle formulas, compound shapes, units and bounds, arcs and sectors
Solids and Volume: prisms and cylinders, surface area, pyramids and cones, spheres, similar solids
Column Vectors: journeys, magnitude, parallel and collinear, vectors on shapes, equations
Loci and Constructions: compass constructions, loci, regions, scale drawings, plans and elevations
The Exam Lab: word problems, a 24-question mixed review, the Mistake Museum, exam day, reference plates
What your child will be able to do
Complete an angle chase and give the reason for every step
Apply Pythagoras and the trigonometric ratios in two and three dimensions
Find the area, surface area and volume of every shape on the syllabus
Use column vectors to prove that points are parallel or collinear
Construct a locus accurately and shade the region a question asks for
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.
23 numbered key facts
The non-negotiables of the year, numbered 01-23 for fast last-minute review.
The Mistake Museum
A curated gallery of the errors that cost real marks, each one defused.
Exam Lab and reference plates
The LAUNCH method, timed missions, a 24-question mixed review with solutions, and two reference plates.
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?
Two typeset, print-ready A4 PDFs of 57 pages in seven parts: a Study edition for paper and a Screen edition for reading in the dark. Both arrive together in one download and open on any phone, tablet or computer.
Which curriculum does it follow?
It covers the shared core of Year 11, US Grade 10, geometry across the UK, US, Canada, Australia, New Zealand and Singapore systems, cross-checked against Oak National Academy units. No single exam board is assumed.
How do I pay, and in which currency?
Checkout accepts card, PayPal and wallets. Prices display and charge in US dollars.
If it is not what I expected
Write to hello@insightbay.net and I will put it right. Your licence is for your own family: yours to keep and print for your household, not to resell or redistribute.
If it is not what you expected
A Field Guide is delivered as a PDF the moment payment is confirmed. If a volume is not what you expected, write to hello@insightbay.net and I will put it right. Your licence is for your own family: yours to keep and print for your household, not to resell or redistribute. Payments are processed securely by Razorpay and PayPal, and Insight Bay never sees or stores your card details.
Where it stops
This volume covers the geometry a paper assumes you already own. It does not reach tangents by calculus or vectors in three dimensions: those open Volume VIII.
Written by Abhishek Dabas. MSc Astronautics and Space Engineering, BEng Aerospace Engineering.
One author, no contributors. Every calculation and every worked solution in this volume has been
checked before publication. He teaches one to one, and writes these between classes.
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Complex numbers, matrices, and the art of proof: the point at which mathematics stops being calculation and becomes argument. The most demanding volume in the library, and the one written for the student who is already ahead.
