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Free summary · Grade 5 Maths

2D shapes

Polygons and quadrilaterals and their properties. Read one part at a time and tap “I know this”. Then test yourself in the quiz.

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Polygons

A polygon is a flat shape with straight sides. A circle is not a polygon (curved edge).

ShapeSides
triangle3
quadrilateral4
pentagon5
hexagon6
heptagon7
octagon8

A regular polygon has equal sides and equal angles.

A shape is named by its number of sides, not by how neat it looks: any shape with 5 straight sides is a pentagon. If all the sides and angles are equal it is a regular pentagon; if not, it is an irregular pentagon.

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Quadrilaterals

QuadrilateralProperties
square4 equal sides, 4 right angles
rectangleopposite sides equal, 4 right angles
parallelogramopposite sides equal and parallel
rhombus4 equal sides, opposite sides parallel (a square is a special rhombus with 4 right angles)
trapeziumone pair of parallel sides
kitetwo pairs of adjacent equal sides
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Angles in shapes

  • A right angle is a square corner, like the corner of a page. We mark it with a small square.
  • An angle smaller than a right angle is sharper (narrower) than a square corner: an acute angle.
  • An angle bigger than a right angle is wider (more open) than a square corner: an obtuse angle.
  • A square and a rectangle each have 4 right angles.
Meerkat tip

Test an angle with the corner of a sheet of paper: if it fits exactly, it is a right angle.

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Remember this and test yourself

Remember this: your summary
  • A polygon has straight sides.
  • Pentagon 5, hexagon 6, heptagon 7, octagon 8 sides.
  • A square is a special rectangle.
  • Trapezium: one pair of parallel sides.
  • A right angle is a square corner, like the corner of a page.

Write these points in your book. Read them again the night before the test.

Memory trick

A hexagon like a honeycomb cell; an octagon like a stop sign.

Flash cards · Tap to turn over

Important words

First say the answer yourself, then turn the card over.

Test yourself · Part 2

True or false?

Read the question and the answer. Is the answer right? Tap True or False.

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    For parents
    • Let your child work the examples on paper and explain them to you.
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    Follows CAPS for Grade 5 Mathematics. Always check your teacher’s notes and textbook too.

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