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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 873 · 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 5 equal angles. How big is each angle (in degrees)?
  2. 2.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) South (c) West (d) East
  3. 3.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  4. 4.Four angles meet at a point. Three of them are 40°, 40° and 140°. What is the fourth angle (in degrees)?
  5. 5.The minute hand of a clock turns clockwise from 3 to 2. How many degrees does it turn?
  6. 6.An angle measures 85°. What kind of angle is it? (a) Acute (b) Straight (c) Reflex
  7. 7.The minute hand of a clock turns clockwise from 7 to 8. How many degrees does it turn?
  8. 8.The minute hand of a clock turns clockwise from 2 to 1. How many degrees does it turn?
  9. 9.The minute hand of a clock turns clockwise from 10 to 12. How many degrees does it turn?
  10. 10.Four angles meet at a point. Three of them are 50°, 50° and 190°. What is the fourth angle (in degrees)?
  11. 11.You face North and turn clockwise through 270°. Which direction do you face now? (a) North (b) South (c) East (d) West
  12. 12.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) North (c) South (d) East
  13. 13.Four angles meet at a point. Three of them are 80°, 100° and 140°. What is the fourth angle (in degrees)?
  14. 14.Four angles meet at a point. Three of them are 70°, 80° and 140°. What is the fourth angle (in degrees)?
  15. 15.An angle measures 275°. What kind of angle is it? (a) Right (b) Straight (c) Reflex
  16. 16.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) South (c) North (d) West
  17. 17.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  18. 18.You face North and turn clockwise through 180°. Which direction do you face now? (a) North (b) South (c) East (d) West
  19. 19.You face West and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) South (c) East (d) West
  20. 20.Three angles together make a straight line. Two of them are 15° and 60°. What is the third angle (in degrees)?
  21. 21.Four angles meet at a point. Three of them are 90°, 50° and 90°. What is the fourth angle (in degrees)?
  22. 22.The minute hand of a clock turns clockwise from 1 to 4. How many degrees does it turn?
  23. 23.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) West (c) South (d) East
  24. 24.The minute hand of a clock turns clockwise from 9 to 7. How many degrees does it turn?
  25. 25.Three angles together make a straight line. Two of them are 25° and 40°. What is the third angle (in degrees)?
  26. 26.You face North and turn clockwise through 90°. Which direction do you face now? (a) South (b) North (c) West (d) East
  27. 27.Four angles meet at a point. Three of them are 40°, 50° and 70°. What is the fourth angle (in degrees)?
  28. 28.Three angles together make a straight line. Two of them are 75° and 35°. What is the third angle (in degrees)?
  29. 29.Three angles together make a straight line. Two of them are 35° and 135°. What is the third angle (in degrees)?
  30. 30.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  31. 31.The minute hand of a clock turns clockwise from 9 to 8. How many degrees does it turn?
  32. 32.Four angles meet at a point. Three of them are 90°, 60° and 200°. What is the fourth angle (in degrees)?
  33. 33.Three angles together make a straight line. Two of them are 40° and 25°. What is the third angle (in degrees)?
  34. 34.An angle measures 5°. What kind of angle is it? (a) Acute (b) Obtuse (c) Reflex
  35. 35.An angle measures 70°. What kind of angle is it? (a) Right (b) Straight (c) Acute
  36. 36.Three angles together make a straight line. Two of them are 45° and 105°. What is the third angle (in degrees)?
  37. 37.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) South (c) North (d) West
  38. 38.Four angles meet at a point. Three of them are 30°, 30° and 260°. What is the fourth angle (in degrees)?
  39. 39.Four angles meet at a point. Three of them are 90°, 40° and 180°. What is the fourth angle (in degrees)?
  40. 40.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) North (b) East (c) South (d) West

Answer key

  1. 72
  2. East
  3. 90
  4. 140
  5. 330
  6. Acute
  7. 30
  8. 330
  9. 60
  10. 70
  11. West
  12. West
  13. 40
  14. 70
  15. Reflex
  16. South
  17. 45
  18. South
  19. North
  20. 105
  21. 130
  22. 90
  23. North
  24. 300
  25. 115
  26. East
  27. 200
  28. 70
  29. 10
  30. 45
  31. 330
  32. 10
  33. 115
  34. Acute
  35. Acute
  36. 30
  37. South
  38. 40
  39. 50
  40. South

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