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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 918 · 40 sums
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The method (Know the totals): Acute < 90°, right = 90°, obtuse between 90° and 180°, straight = 180°, reflex between 180° and 360°. Angles on a straight line add up to 180°; angles around a point add up to 360°. Each hour mark on a clock is 30° apart (360° ÷ 12). Turning clockwise from North: 90° → East, 180° → South, 270° → West.

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  1. 1.Four angles meet at a point. Three of them are 60°, 70° and 110°. What is the fourth angle (in degrees)?
  2. 2.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  3. 3.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  4. 4.Three angles together make a straight line. Two of them are 20° and 65°. What is the third angle (in degrees)?
  5. 5.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  6. 6.You face West and turn anticlockwise through 180°. Which direction do you face now? (a) East (b) West (c) South (d) North
  7. 7.An angle measures 240°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Straight
  8. 8.Three angles together make a straight line. Two of them are 35° and 15°. What is the third angle (in degrees)?
  9. 9.The minute hand of a clock turns clockwise from 12 to 11. How many degrees does it turn?
  10. 10.An angle measures 170°. What kind of angle is it? (a) Obtuse (b) Right (c) Straight
  11. 11.Four angles meet at a point. Three of them are 30°, 90° and 60°. What is the fourth angle (in degrees)?
  12. 12.Three angles together make a straight line. Two of them are 30° and 75°. What is the third angle (in degrees)?
  13. 13.You face South and turn anticlockwise through 180°. Which direction do you face now? (a) East (b) West (c) North (d) South
  14. 14.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) East (c) North (d) South
  15. 15.The minute hand of a clock turns clockwise from 1 to 5. How many degrees does it turn?
  16. 16.An angle measures 40°. What kind of angle is it? (a) Right (b) Obtuse (c) Acute
  17. 17.The minute hand of a clock turns clockwise from 5 to 4. How many degrees does it turn?
  18. 18.The minute hand of a clock turns clockwise from 10 to 9. How many degrees does it turn?
  19. 19.Three angles together make a straight line. Two of them are 30° and 50°. What is the third angle (in degrees)?
  20. 20.An angle measures 180°. What kind of angle is it? (a) Reflex (b) Straight (c) Obtuse
  21. 21.An angle measures 90°. What kind of angle is it? (a) Obtuse (b) Right (c) Acute
  22. 22.Three angles together make a straight line. Two of them are 30° and 15°. What is the third angle (in degrees)?
  23. 23.Four angles meet at a point. Three of them are 40°, 40° and 70°. What is the fourth angle (in degrees)?
  24. 24.You face South and turn clockwise through 90°. Which direction do you face now? (a) East (b) West (c) North (d) South
  25. 25.Four angles meet at a point. Three of them are 100°, 60° and 140°. What is the fourth angle (in degrees)?
  26. 26.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  27. 27.The minute hand of a clock turns clockwise from 6 to 5. How many degrees does it turn?
  28. 28.The minute hand of a clock turns clockwise from 8 to 1. How many degrees does it turn?
  29. 29.The minute hand of a clock turns clockwise from 6 to 12. How many degrees does it turn?
  30. 30.The minute hand of a clock turns clockwise from 11 to 1. How many degrees does it turn?
  31. 31.You face West and turn clockwise through 180°. Which direction do you face now? (a) West (b) North (c) South (d) East
  32. 32.You face South and turn clockwise through 180°. Which direction do you face now? (a) West (b) East (c) South (d) North
  33. 33.An angle measures 300°. What kind of angle is it? (a) Right (b) Reflex (c) Straight
  34. 34.The minute hand of a clock turns clockwise from 5 to 6. How many degrees does it turn?
  35. 35.You face West and turn clockwise through 90°. Which direction do you face now? (a) East (b) South (c) West (d) North
  36. 36.Four angles meet at a point. Three of them are 60°, 40° and 120°. What is the fourth angle (in degrees)?
  37. 37.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  38. 38.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  39. 39.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  40. 40.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?

Answer key

  1. 120
  2. 18
  3. 120
  4. 95
  5. 15
  6. East
  7. Reflex
  8. 130
  9. 330
  10. Obtuse
  11. 180
  12. 75
  13. North
  14. East
  15. 120
  16. Acute
  17. 330
  18. 330
  19. 100
  20. Straight
  21. Right
  22. 135
  23. 210
  24. West
  25. 60
  26. 90
  27. 330
  28. 150
  29. 180
  30. 60
  31. East
  32. North
  33. Reflex
  34. 30
  35. North
  36. 140
  37. 30
  38. 60
  39. 60
  40. 45

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