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Understanding Elementary Shapes

IMO Maths · Class 6

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TOPIC 8 OF 17 · MATHEMATICAL REASONING

Understanding Elementary Shapes 🔷

Angles have exact names for exact ranges of degrees. Triangles and quadrilaterals sort into families by their sides and angles. And solids have their own count of faces, edges and corners.

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Part 1 · Measuring Angles

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Part 2 · Triangles

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Part 3 · Quadrilaterals & Solids

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Mock Test

1

Measuring Angles 📐

An angle is measured in degrees with a protractor. Its size decides its name.

AngleRange
Acutebetween 0° and 90°
Rightexactly 90°
Obtusebetween 90° and 180°
Straightexactly 180°
Reflexbetween 180° and 360°
Complete angleexactly 360° (a full turn)
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Game 1 — Name the Angle

2

Triangles 🔺

A triangle can be classified by its SIDES, or by its ANGLES — and its 3 angles always add to 180°.

By sides

Equilateral (3 equal) · Isosceles (2 equal) · Scalene (none equal)

By angles

Acute-angled (all < 90°) · Right-angled (one = 90°) · Obtuse-angled (one > 90°)

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Game 2 — Find the Missing Angle

3

Quadrilaterals & Solids 🎲

A quadrilateral's 4 angles always add to 360°. A solid has faces, edges and vertices in fixed numbers.

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Game 3 — Match the Quadrilateral

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Game 4 — Count the Parts of a Solid

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Understanding Elementary Shapes Mock Test

12 IMO-style questions on angles, triangles, quadrilaterals and solids. 🍀

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