Years 3–6 Maths SATs Free Download

2D Shapes KS2: The Complete Guide for Years 3–6 (With Free Quizzes, Worksheets and Games)

Properties of shapes · Regular & irregular polygons · Angles & symmetry · Last updated: September 2026
Written by the Kwized team and reviewed against the KS2 National Curriculum.

Quick answer

2D shapes are flat shapes with only two dimensions — length and width — and no thickness or depth. Common 2D shapes taught in KS2 include triangles, quadrilaterals, pentagons, hexagons, octagons and circles. Children are expected to name these shapes, describe their properties (sides, vertices, angles, symmetry) and compare them to 3D shapes.

National Curriculum requirement

2D shapes fall under the Geometry: Properties of Shape strand of the National Curriculum for mathematics, building from naming and describing shapes in Year 3 through to reasoning about angles and polygon properties by Year 6.

Distinguish between regular and irregular polygons based on reasoning about equal sides and angles.
View the full National Curriculum: mathematics programme of study on gov.uk →

2D shapes by KS2 year group

Year 3: Naming and Describing Shapes

In Year 3, children learn to recognise and name common 2D shapes, count their sides and vertices, and begin to identify right angles within shapes.

Year 4: Classifying and Comparing

Year 4 builds on this by classifying shapes according to their properties, including identifying lines of symmetry and comparing acute, obtuse and right angles found in 2D shapes.

Year 5: Regular and Irregular Polygons

Year 5 introduces regular and irregular polygons, distinguishing shapes by equal sides and equal angles, and reasoning about missing angles using known facts.

Year 6: Properties and Reasoning

By Year 6, children are expected to draw shapes accurately, use given dimensions and angles, and reason about the properties of shapes to solve problems, including illustrating and naming parts of circles (radius, diameter, circumference).

Common 2D shapes at KS2

Shape reference
Shape familyExamplesKey property
TrianglesEquilateral, isosceles, scalene, right-angled3 sides, 3 vertices, angles always sum to 180°
QuadrilateralsSquare, rectangle, rhombus, parallelogram, trapezium, kite4 sides, 4 vertices, angles always sum to 360°
PentagonsRegular pentagon, irregular pentagon5 sides, 5 vertices
HexagonsRegular hexagon, irregular hexagon6 sides, 6 vertices
OctagonsRegular octagon, irregular octagon8 sides, 8 vertices
CirclesNo sides or vertices; described by radius, diameter and circumference

Key properties children should know

Core vocabulary
PropertyWhat it means
SidesThe straight or curved lines that form the shape's outline
VerticesThe points where two sides meet
AnglesRight, acute, obtuse and reflex angles found within a shape
SymmetryLines of symmetry that divide a shape into matching halves
Regular vs irregularRegular polygons have equal sides and equal angles; irregular polygons do not

Common mistakes children make with 2D shapes

Frequent errors
❌ Incorrect✅ CorrectWhy
Calling any four-sided shape a "square"Naming it precisely: square, rectangle, rhombus, parallelogram, trapezium or kiteAll are quadrilaterals, but each has distinct properties that must be checked, not assumed
Assuming a shape is regular just because it "looks even"Checking that all sides AND all angles are actually equalA shape can look roughly regular but fail on close measurement — regularity requires both conditions
Miscounting sides on an irregular or rotated shapeTracing each side individually, especially when a shape is rotated or unfamiliarIrregular and rotated shapes are a common source of counting errors
Confusing a rhombus with a "diamond" as if it's a different shapeRecognising a rhombus regardless of orientationRotating a shape doesn't change what it is — only its orientation on the page

KS2 2D shapes by year group: quick reference

Curriculum map
Year GroupFocus
Year 3Naming shapes, counting sides and vertices, identifying right angles
Year 4Classifying by properties, lines of symmetry, comparing acute/obtuse/right angles
Year 5Regular vs irregular polygons, reasoning about missing angles
Year 6Drawing shapes accurately, reasoning about properties, parts of circles

Free 2D shapes worksheets (Years 5 & 6)

Kwized currently has National Curriculum-aligned 2D shapes worksheets for Years 5 and 6, each paired with a full answer sheet with explanations.

Year 5 — Identifying Polygons

Identifying regular polygons by number of sides

Year 6 — Properties & Reasoning

Reasoning about properties, symmetry and angles

2D_Shapes-2-202608y6F.pdf

Interactive KS2 2D Shapes Quiz — Free Practice

Test knowledge of 2D shapes with this free interactive practice quiz. Pupils identify shapes, name their properties, and distinguish regular from irregular polygons — with instant feedback on every answer. No login required to play.

This quiz covers shape recognition, key properties, and regular vs irregular polygons — key objectives in the KS2 National Curriculum for Maths. Register free to save your score, track progress, and access the full Kwized question bank.

Practise 2D shapes with Kwized

Reading about shapes only goes so far — children need hands-on practice to make the properties stick. Kwized offers three ways to practise 2D shapes at home or in the classroom: worksheets with full answer sheets, short focused quizzes ideal for quick recap sessions, and interactive shape puzzles and pattern games that make identifying and sorting 2D shapes engaging rather than repetitive. Together, these resources give children repeated, varied exposure to the same 2D shapes vocabulary and properties, which is one of the most effective ways to embed a KS2 Maths topic.

Glossary

Key terms
TermDefinition
2D shapeA flat shape with length and width but no thickness or depth
PolygonA closed 2D shape made of straight sides
Vertex (plural: vertices)The point where two sides of a shape meet
Regular polygonA polygon with all sides and all angles equal
Irregular polygonA polygon where sides and/or angles are not all equal
QuadrilateralAny four-sided shape, e.g. square, rectangle, rhombus, trapezium
Acute angleAn angle less than 90°
Obtuse angleAn angle greater than 90° but less than 180°
Reflex angleAn angle greater than 180° but less than 360°
Line of symmetryA line that divides a shape into two matching halves

Related topics

Frequently asked questions

What is the difference between a 2D and a 3D shape?

A 2D shape is flat and has only length and width, such as a square or circle. A 3D shape has length, width and depth (or height), such as a cube or sphere.

What 2D shapes do children learn in Year 5?

Year 5 children learn to identify regular and irregular polygons, including pentagons, hexagons and octagons, and to distinguish them by their equal or unequal sides and angles.

How can I help my child practise 2D shapes at home?

Combining a short worksheet with a quiz and a shape-based game covers recognition, recall and application, giving a well-rounded practice session without it feeling repetitive.

Are Kwized's 2D shapes resources aligned to the National Curriculum?

Yes. Kwized's 2D shapes worksheets, quizzes and games are designed around the KS2 National Curriculum for Maths, covering Years 3 to 6.

What is a regular polygon?

A regular polygon is a shape where all sides are the same length and all angles are the same size, such as a square or an equilateral triangle. An irregular polygon has sides and/or angles that are not all equal.

How many sides does a hexagon have?

A hexagon has 6 sides and 6 vertices. It can be regular (all sides and angles equal) or irregular (sides and angles vary).

When do children start learning about angles within shapes?

Children begin identifying right angles within shapes in Year 3, then compare acute, obtuse and right angles in Year 4, before measuring and reasoning about angles in degrees from Year 5 onwards.

Ready to put this into practice?

Explore Kwized's full library of curriculum-aligned KS2 Maths worksheets, quizzes and games for Years 3–6, each mapped directly to the National Curriculum.

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