Year 5 in England
4th grade geometry
11 4th grade geometry skills, each with a worked example, free practice that checks every answer, and a printable worksheet. Start with a mixed review, or jump to the skill you need.
Mixed review
Ten questions drawn from every skill below.
Angles: types and measuring
CCSS 4.MD.C.5CCSS 4.MD.C.6CCSS 4.MD.C.7CCSS 4.G.A.1England: Y3 GeometryEngland: Y5 GeometryEngland: Y6 Geometry
Example
What type of angle is 65°?
- 65° is acute.
Answer: acute
Lines of symmetry
CCSS 4.G.A.3England: Y2 GeometryEngland: Y4 Geometry
Example
How many lines of symmetry does a regular pentagon have?
- A regular pentagon has 5.
Answer: 5
Builds on: Polygons: sides and vertices
Leads to: Reflect points in a horizontal or vertical mirror line
Parallel and perpendicular lines
CCSS 4.G.A.1CCSS 4.G.A.2England: Y3 GeometryEngland: Y4 Geometry
Example
On Fatima's map, two straight roads cross, but not at a right angle. What are such lines called?
- They are intersecting (not perpendicular).
Answer: intersecting (not perpendicular)
Perimeter of L-shapes and other rectilinear shapes
CCSS 4.MD.A.3England: Y5 Measurement
Example
An L-shape is made by cutting a small rectangle, 5 cm by 6 cm, from one corner of a big rectangle, 14 cm by 9 cm. What is the perimeter of the L-shape?
- Sides: 14, 3, 5, 6, 9, 9
- 14 + 3 + 5 + 6 + 9 + 9 = 46
- 46 cm
Answer: 46
Builds on: Find a missing side from the perimeter
Area and perimeter in real-life problems
CCSS 4.MD.A.3England: Y5 Measurement
Example
Amara covers a rectangular floor 4 m by 6 m with carpet. How many square metres of carpet are needed?
- 4 × 6 = 24 m²
Answer: 24
Angles as fractions of a full turn
CCSS 4.MD.C.5.ACCSS 4.MD.C.5.BEngland: Y5 Geometry
Example
What angle, in degrees, is 5/12 of a full turn?
- 360 ÷ 12 = 30
- 30 × 5 = 150°
Answer: 150
Points, lines, line segments and rays
CCSS 4.G.A.1England: Y4 Geometry
Example
What do we call something that has two endpoints?
- a line segment
Answer: a line segment
Builds on: Parallel and perpendicular lines
Classify triangles by their angles
CCSS 4.G.A.2England: Y5 Geometry
Example
A triangle has angles of 14°, 24°, 142°. What type of triangle is it?
- Largest angle: 142°
- obtuse-angled
Answer: obtuse-angled
Builds on: Angles: types and measuring
Leads to: Classify triangles by their sides
Name quadrilaterals from their properties
CCSS 4.G.A.2England: Y4 GeometryEngland: Y5 Geometry
Example
Which quadrilateral has four right angles but two pairs of different-length sides?
- rectangle (not a square)
Answer: rectangle (not a square)
Regular and irregular polygons
CCSS 4.G.A.2England: Y5 Geometry
Example
Is an equilateral triangle a regular polygon?
- yes
Answer: yes
Builds on: Polygons: sides and vertices
Leads to: Interior angles of regular polygons
Keep exploring
4th grade topic pages
- Times tables practice
- Year 4 multiplication tables check practice
- Fractions practice, from grade 3 to grade 6
- Equivalent fractions
- How to simplify fractions
- Comparing fractions
- Multiplying fractions
- Mixed numbers and improper fractions
- Types of angles
- Area and perimeter of rectangles, with word problems
- Long division, step by step
- Multi-digit multiplication
- Place value
- Rounding numbers
More for 4th grade
Hands-on math tools
- Virtual fraction bars and fraction circles
- Interactive number line
- Virtual base ten blocks
- Multiplication arrays
- Interactive teaching clock
- Virtual money for counting practice
- Interactive coordinate plane
- Algebra balance scale
- Adding fractions with a model
- Virtual algebra tiles
- Alphabetical order game
- Virtual protractor and angle maker
- Area and perimeter builder
- Bar graph maker for kids
- Math by topicFractions, times tables, long division and more
- English and grammarNouns, verbs, commas, spelling and more
- Reading passagesShort stories with read-aloud and questions
- Science by gradePlants, forces, matter, space and more
- Printable worksheetsPrint, or do them on a tablet with a finger or pen
- Free math games3D games where every move is a math question
- Manipulatives and simulationsMath tools plus science sims: cells, atoms, forces, planets
- Fraction calculatorEvery step shown, from mixed numbers to simplest form
- Math 5-a-dayFive fresh warm-up questions every day
- Guides for parentsHow to help with fractions, tables, tests and more
Math, English and science that click.
