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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°?

  1. 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?

  1. A regular pentagon has 5.

Answer: 5

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?

  1. 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?

  1. Sides: 14, 3, 5, 6, 9, 9
  2. 14 + 3 + 5 + 6 + 9 + 9 = 46
  3. 46 cm

Answer: 46

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?

  1. 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?

  1. 360 ÷ 12 = 30
  2. 30 × 5 = 150°

Answer: 150

Add and subtract angles that share a vertex

CCSS 4.MD.C.7England: Y5 Geometry

Example

Angle ABD is 25° and angle DBC is 29°. They sit side by side to make angle ABC. What is angle ABC?

  1. 25° + 29° = 54°

Answer: 54

Points, lines, line segments and rays

CCSS 4.G.A.1England: Y4 Geometry

Example

What do we call something that has two endpoints?

  1. a line segment

Answer: a line segment

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?

  1. Largest angle: 142°
  2. obtuse-angled

Answer: obtuse-angled

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?

  1. 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?

  1. yes

Answer: yes

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4th grade Geometry: Practice and Worksheets | Eurekami