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11+ Maths Guide · Year 5–6 · Free course

Geometry: The Complete Guide for Ages 9–11

Everything your child needs to master shape and space — 20 short visual lessons covering 2D and 3D shapes, angle facts, symmetry, coordinates and transformations. Each lesson takes about 3 minutes and comes with a printable cheat sheet.

📐 Why geometry matters

Geometry builds visual and logical reasoning together — the same chain-of-facts thinking that later powers algebra and proof. It's also the most diagram-heavy part of every 11+ paper.

🏫 What children learn in Years 4–6

Shape properties and symmetry (Y4–5), angle facts — on a line, in triangles and quadrilaterals, vertically opposite (Y5–6), coordinates in all four quadrants, and translation and reflection (Y6).

🎯 Built for 11+ preparation

Every lesson flags the classic traps — the rectangle's diagonal 'symmetry', the protractor's two scales, diagrams not drawn to scale — in a ‘Watch Out!’ section.

The learning path

Work through the lessons in order — each one builds on the last.

1
2D Shapes
Name 2D shapes by counting sides: triangle to octagon, with the Greek prefixes that unlock them.
2
Triangles
Equilateral, isosceles, scalene and right-angled triangles.
3
Quadrilaterals
Properties of squares, rectangles, parallelograms, rhombuses, trapeziums and kites.
4
Regular and Irregular Polygons
Regular polygons need equal sides AND equal angles.
5
Circles
The parts of a circle and the d = 2r relationship, with quick conversion practice.
6
3D Shapes
Count faces, edges and vertices of cubes, cuboids, pyramids, prisms, cylinders and spheres.
7
Nets
Which nets fold into cubes, pyramids, prisms and cylinders.
8
Types of Angles
Acute, right, obtuse, straight and reflex angles explained with clear diagrams.
9
Measuring and Drawing Angles
Use a protractor accurately: line up the centre, pick the right scale, estimate to check.
10
Angles on a Line and at a Point
Angles on a straight line total 180°; around a point 360°.
11
Angles in Triangles
Find missing angles in any triangle with the 180° fact, including the isosceles shortcut.
12
Angles in Quadrilaterals
Find missing angles in quadrilaterals with the 360° fact, plus parallelogram shortcuts.
13
Vertically Opposite Angles
When lines cross, opposite angles are equal and neighbours total 180°.
14
Parallel and Perpendicular Lines
Parallel lines never meet; perpendicular lines cross at 90°.
15
Symmetry
Count lines of symmetry.
16
Coordinates (First Quadrant)
Read and plot coordinates with 'along the corridor, up the stairs'.
17
Coordinates (Four Quadrants)
Plot points with negative coordinates across all four quadrants.
18
Translation
Translate shapes and coordinates: add for right/up, subtract for left/down, move every vertex.
19
Reflection
Reflect shapes and coordinates in the x-axis and y-axis: equal distances, flipped image.
20
Geometry Problem Solving
Chain angle facts to crack multi-step geometry problems.

Printable cheat sheets

One-page summaries of every method — print them and keep them by your child's desk.

📄 2D ShapesPrintable cheat sheet (PDF)📄 TrianglesPrintable cheat sheet (PDF)📄 QuadrilateralsPrintable cheat sheet (PDF)📄 Regular and Irregular PolygonsPrintable cheat sheet (PDF)📄 CirclesPrintable cheat sheet (PDF)📄 3D ShapesPrintable cheat sheet (PDF)📄 NetsPrintable cheat sheet (PDF)📄 Types of AnglesPrintable cheat sheet (PDF)📄 Measuring and Drawing AnglesPrintable cheat sheet (PDF)📄 Angles on a Line and at a PointPrintable cheat sheet (PDF)📄 Angles in TrianglesPrintable cheat sheet (PDF)📄 Angles in QuadrilateralsPrintable cheat sheet (PDF)📄 Vertically Opposite AnglesPrintable cheat sheet (PDF)📄 Parallel and Perpendicular LinesPrintable cheat sheet (PDF)📄 SymmetryPrintable cheat sheet (PDF)📄 Coordinates (First Quadrant)Printable cheat sheet (PDF)📄 Coordinates (Four Quadrants)Printable cheat sheet (PDF)📄 TranslationPrintable cheat sheet (PDF)📄 ReflectionPrintable cheat sheet (PDF)📄 Geometry Problem SolvingPrintable cheat sheet (PDF)

Frequently asked questions

What order should my child learn geometry in?

Follow the numbered path: shapes first (G1–G7), then the angle-facts block (G8–G14), then symmetry, coordinates and transformations, finishing with multi-step problems.

What ages are these geometry lessons for?

Ages 9–11 (Years 5–6 in England); the early shape lessons also suit Year 4.

Are these lessons free?

Yes — all 20 lessons and printable cheat sheets are completely free. The MindBlaze app adds daily practice and rewards.

What are the key angle facts to memorise?

Angles on a straight line total 180°, around a point 360°, in a triangle 180°, in a quadrilateral 360° — plus vertically opposite angles are equal. Lessons G10–G13 drill each one.

What geometry appears most in the 11+?

Missing-angle chains, symmetry counts, coordinate problems and net-folding puzzles — all covered with the exam traps highlighted.

🛡️ Curriculum aligned⭐ Builds confidence💜 Made for 9–13 year olds
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