Angles · Grade 6

In Grade 6 you learn: angle notation.

An angle measures an amount of turn. We measure angles in degrees with a protractor and sort them by size: acute, right, obtuse, straight and reflex.

Key facts

  • Acute: less than 90°. Right angle: exactly 90°. Obtuse: between 90° and 180°.
  • Straight angle: exactly 180°. Reflex: between 180° and 360°.
  • A full turn is 360°.
  • On a clock, each hour gap is 30°; the minute hand turns 6° per minute and the hour hand 0.5° per minute.

Worked examples

Example 1

The marked angle is 130°. Is it acute, obtuse or reflex? What is the reflex angle on the other side?

Answer: Obtuse; the reflex angle is 230°.

Example 2

What is the smaller angle between the hands of a clock at 4 o’clock?

Answer: 120°

Example 3

What is the smaller angle between the hands of a clock at 2:30?

Answer: 105°

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