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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 246 · 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.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  2. 2.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) South (c) East (d) North
  3. 3.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  4. 4.You face West and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) East (c) West (d) North
  5. 5.Four angles meet at a point. Three of them are 30°, 70° and 100°. What is the fourth angle (in degrees)?
  6. 6.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  7. 7.The minute hand of a clock turns clockwise from 2 to 6. How many degrees does it turn?
  8. 8.You face East and turn clockwise through 270°. Which direction do you face now? (a) South (b) West (c) East (d) North
  9. 9.You face North and turn clockwise through 180°. Which direction do you face now? (a) West (b) South (c) North (d) East
  10. 10.The minute hand of a clock turns clockwise from 10 to 1. How many degrees does it turn?
  11. 11.Three angles together make a straight line. Two of them are 30° and 35°. What is the third angle (in degrees)?
  12. 12.An angle measures 20°. What kind of angle is it? (a) Right (b) Obtuse (c) Acute
  13. 13.The minute hand of a clock turns clockwise from 12 to 5. How many degrees does it turn?
  14. 14.Three angles together make a straight line. Two of them are 70° and 80°. What is the third angle (in degrees)?
  15. 15.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) North (c) East (d) West
  16. 16.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  17. 17.An angle measures 160°. What kind of angle is it? (a) Right (b) Obtuse (c) Reflex
  18. 18.An angle measures 35°. What kind of angle is it? (a) Acute (b) Straight (c) Right
  19. 19.An angle measures 145°. What kind of angle is it? (a) Reflex (b) Straight (c) Obtuse
  20. 20.You face West and turn clockwise through 90°. Which direction do you face now? (a) North (b) West (c) South (d) East
  21. 21.An angle measures 90°. What kind of angle is it? (a) Right (b) Acute (c) Reflex
  22. 22.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  23. 23.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  24. 24.An angle measures 180°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Straight
  25. 25.Four angles meet at a point. Three of them are 60°, 80° and 200°. What is the fourth angle (in degrees)?
  26. 26.You face South and turn clockwise through 90°. Which direction do you face now? (a) West (b) East (c) North (d) South
  27. 27.An angle measures 165°. What kind of angle is it? (a) Right (b) Reflex (c) Obtuse
  28. 28.You face South and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) North (c) West (d) East
  29. 29.An angle measures 55°. What kind of angle is it? (a) Right (b) Acute (c) Reflex
  30. 30.An angle measures 105°. What kind of angle is it? (a) Right (b) Obtuse (c) Reflex
  31. 31.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) North (c) South (d) East
  32. 32.Three angles together make a straight line. Two of them are 85° and 20°. What is the third angle (in degrees)?
  33. 33.Four angles meet at a point. Three of them are 60°, 90° and 40°. What is the fourth angle (in degrees)?
  34. 34.The minute hand of a clock turns clockwise from 8 to 9. How many degrees does it turn?
  35. 35.The minute hand of a clock turns clockwise from 9 to 11. How many degrees does it turn?
  36. 36.The minute hand of a clock turns clockwise from 12 to 4. How many degrees does it turn?
  37. 37.Four angles meet at a point. Three of them are 30°, 40° and 260°. What is the fourth angle (in degrees)?
  38. 38.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  39. 39.An angle measures 125°. What kind of angle is it? (a) Right (b) Acute (c) Obtuse
  40. 40.The minute hand of a clock turns clockwise from 12 to 2. How many degrees does it turn?

Answer key

  1. 120
  2. South
  3. 45
  4. North
  5. 160
  6. 45
  7. 120
  8. North
  9. South
  10. 90
  11. 115
  12. Acute
  13. 150
  14. 30
  15. East
  16. 20
  17. Obtuse
  18. Acute
  19. Obtuse
  20. North
  21. Right
  22. 60
  23. 40
  24. Straight
  25. 20
  26. West
  27. Obtuse
  28. North
  29. Acute
  30. Obtuse
  31. West
  32. 75
  33. 170
  34. 30
  35. 60
  36. 120
  37. 30
  38. 72
  39. Obtuse
  40. 60

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