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Year 4 in England

3rd grade geometry

10 3rd 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.

Area of rectangles

CCSS 3.MD.C.5CCSS 3.MD.C.6CCSS 3.MD.C.7England: Y4 MeasurementEngland: Y5 Measurement

Perimeter

CCSS 3.MD.D.8England: Y3 MeasurementEngland: Y4 Measurement

Example

A rectangle has a perimeter of 52 ft. Its length is 15 ft. What is its width, in ft?

  1. 52 − 2 × 15 = 22
  2. 22 ÷ 2 = 11 ft

Answer: 11

Classify quadrilaterals

CCSS 3.G.A.1England: Y3 GeometryEngland: Y4 GeometryEngland: Y6 Geometry

Example

A quadrilateral has 4 equal sides and 4 right angles. What is it?

  1. That describes a square.

Answer: square

Area of composite rectilinear shapes

CCSS 3.MD.C.7.DEngland: Y5 MeasurementEngland: Y6 Measurement

Example

An L-shape is made by cutting a 5 cm by 3 cm rectangle from the corner of a 8 cm by 9 cm rectangle. What is the area of the L-shape, in cm²?

  1. 8 × 9 = 72
  2. 5 × 3 = 15
  3. 72 − 15 = 57 cm²

Answer: 57

Find area by counting unit squares

CCSS 3.MD.C.5CCSS 3.MD.C.6England: Y4 Measurement

Find a missing side from the area

CCSS 3.MD.C.7.BEngland: Y4 Measurement

Example

Sam wants a rectangular vegetable patch with an area of 24 m². It must be 3 m wide. How long must it be?

  1. 24 ÷ 3 = 8
  2. 8 m

Answer: 8

Find a missing side from the perimeter

CCSS 3.MD.D.8England: Y3 MeasurementEngland: Y4 Measurement

Same area, different perimeter (and the other way round)

CCSS 3.MD.D.8England: Y4 Measurement

Example

Rectangle A is 1 cm by 16 cm. Rectangle B is 2 cm by 8 cm. They have the same area. Which has the greater perimeter?

  1. A: 2 × (1 + 16) = 34 cm
  2. B: 2 × (2 + 8) = 20 cm
  3. Rectangle A

Answer: Rectangle A

Compare angles with a right angle

CCSS 4.G.A.1England: Y3 Geometry

Example

How many right angles does an equilateral triangle have?

  1. 0

Answer: 0

Turns and compass directions

England: Y3 Geometry

Example

Lucia faces West and makes a three-quarter turn anticlockwise. Which direction is Lucia facing now?

  1. North

Answer: North

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