KS2 Maths textbook

Year 4 Shapes, Angles and Symmetry: lesson and practice

  • Strand Geometry
  • Level Year 4
  • Practice 125 questions with step-by-step solutions

National Curriculum for England, Key Stage 2 mathematics, Year 4. Content: Compare and classify geometric shapes, including quadrilaterals and triangles, based on their properties and sizes, Identify acute and obtuse angles and compare and order angles up to two right angles by size, Identify lines of symmetry in 2-D shapes presented in different orientations, Complete a simple symmetric figure with respect to a specific line of symmetry.

Open Year 4 chapter

By the end of this chapter you will be able to

  • Describe turns as quarter, half, three-quarter and whole turns, and know that a right angle is a quarter turn
  • Identify acute, right and obtuse angles and a straight line, and compare and order angles up to two right angles
  • Name triangles (equilateral, isosceles, scalene and right-angled) and say how you know
  • Name quadrilaterals (square, rectangle, rhombus, parallelogram, trapezium and kite) and describe them using sides, angles and parallel and perpendicular lines
  • Name regular and irregular polygons, such as pentagons, hexagons, heptagons and octagons
  • Sort shapes using Venn and Carroll diagrams, and solve “Which shape am I?” riddles
  • Find lines of symmetry in shapes, letters and patterns, whichever way round they are
  • Complete a symmetric figure on a grid using a vertical, horizontal or diagonal mirror line

You should already know

  • Names of 2-D shapes: square, rectangle, triangle, circle (Years 1 to 3)
  • A right angle is a quarter turn (Year 3)
  • Counting sides and corners
  • Fractions of a turn: quarter, half and three-quarter (Chapter 5)
  • Telling the time on a clock face (Chapter 8)

Where this leads

  • Position and direction: coordinates and translations (Chapter 10)
  • Measuring angles with a protractor and angles in degrees (Year 5)
  • Reflection and translation of shapes (Year 5)
  • Angles on a line and at a point, and angles in shapes (Years 5 and 6)

Lessons in this chapter

  1. 9.1 Turns and right angles · Worksheet (PDF) · Answers (PDF)
  2. 9.2 Acute and obtuse angles · Worksheet (PDF) · Answers (PDF)
  3. 9.3 Triangles · Worksheet (PDF) · Answers (PDF)
  4. 9.4 Quadrilaterals and parallel lines · Worksheet (PDF) · Answers (PDF)
  5. 9.5 Polygons and sorting shapes · Worksheet (PDF) · Answers (PDF)
  6. 9.6 Lines of symmetry · Worksheet (PDF) · Answers (PDF)
  7. 9.7 Completing symmetrical figures · Worksheet (PDF) · Answers (PDF)
  8. Summary and key words
  9. Check-up and SATs-style questions · Worksheet (PDF) · Answers (PDF)

Read the whole chapter on one page (good for printing).

Practise with real exam questions

The DfE publishes every past KS2 test, with mark schemes, for free.

KS2 Maths past papers