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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 149 · 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.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) East (c) West (d) North
  2. 2.Four angles meet at a point. Three of them are 40°, 40° and 80°. What is the fourth angle (in degrees)?
  3. 3.An angle measures 205°. What kind of angle is it? (a) Obtuse (b) Acute (c) Reflex
  4. 4.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  5. 5.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) West (c) East (d) North
  6. 6.The minute hand of a clock turns clockwise from 10 to 12. How many degrees does it turn?
  7. 7.An angle measures 305°. What kind of angle is it? (a) Obtuse (b) Right (c) Reflex
  8. 8.The minute hand of a clock turns clockwise from 5 to 12. How many degrees does it turn?
  9. 9.Four angles meet at a point. Three of them are 40°, 40° and 40°. What is the fourth angle (in degrees)?
  10. 10.An angle measures 90°. What kind of angle is it? (a) Straight (b) Right (c) Obtuse
  11. 11.An angle measures 60°. What kind of angle is it? (a) Acute (b) Reflex (c) Obtuse
  12. 12.Four angles meet at a point. Three of them are 30°, 70° and 210°. What is the fourth angle (in degrees)?
  13. 13.The minute hand of a clock turns clockwise from 2 to 11. How many degrees does it turn?
  14. 14.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  15. 15.The minute hand of a clock turns clockwise from 11 to 5. How many degrees does it turn?
  16. 16.Three angles together make a straight line. Two of them are 10° and 15°. What is the third angle (in degrees)?
  17. 17.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  18. 18.An angle measures 180°. What kind of angle is it? (a) Reflex (b) Straight (c) Acute
  19. 19.Three angles together make a straight line. Two of them are 35° and 130°. What is the third angle (in degrees)?
  20. 20.An angle measures 85°. What kind of angle is it? (a) Straight (b) Acute (c) Reflex
  21. 21.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  22. 22.Four angles meet at a point. Three of them are 50°, 50° and 170°. What is the fourth angle (in degrees)?
  23. 23.Three angles together make a straight line. Two of them are 60° and 95°. What is the third angle (in degrees)?
  24. 24.Three angles together make a straight line. Two of them are 70° and 55°. What is the third angle (in degrees)?
  25. 25.Four angles meet at a point. Three of them are 70°, 60° and 30°. What is the fourth angle (in degrees)?
  26. 26.You face East and turn clockwise through 270°. Which direction do you face now? (a) South (b) East (c) North (d) West
  27. 27.Four angles meet at a point. Three of them are 80°, 40° and 230°. What is the fourth angle (in degrees)?
  28. 28.The minute hand of a clock turns clockwise from 7 to 3. How many degrees does it turn?
  29. 29.The minute hand of a clock turns clockwise from 11 to 12. How many degrees does it turn?
  30. 30.An angle measures 45°. What kind of angle is it? (a) Reflex (b) Acute (c) Obtuse
  31. 31.An angle measures 230°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Straight
  32. 32.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  33. 33.An angle measures 105°. What kind of angle is it? (a) Right (b) Acute (c) Obtuse
  34. 34.The minute hand of a clock turns clockwise from 4 to 8. How many degrees does it turn?
  35. 35.You face West and turn anticlockwise through 180°. Which direction do you face now? (a) North (b) West (c) East (d) South
  36. 36.The minute hand of a clock turns clockwise from 2 to 5. How many degrees does it turn?
  37. 37.Four angles meet at a point. Three of them are 60°, 40° and 210°. What is the fourth angle (in degrees)?
  38. 38.An angle measures 155°. What kind of angle is it? (a) Acute (b) Obtuse (c) Reflex
  39. 39.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) North (c) South (d) East
  40. 40.Four angles meet at a point. Three of them are 80°, 60° and 150°. What is the fourth angle (in degrees)?

Answer key

  1. West
  2. 200
  3. Reflex
  4. 36
  5. East
  6. 60
  7. Reflex
  8. 210
  9. 240
  10. Right
  11. Acute
  12. 50
  13. 270
  14. 45
  15. 180
  16. 155
  17. 120
  18. Straight
  19. 15
  20. Acute
  21. 30
  22. 90
  23. 25
  24. 55
  25. 200
  26. North
  27. 10
  28. 240
  29. 30
  30. Acute
  31. Reflex
  32. 20
  33. Obtuse
  34. 120
  35. East
  36. 90
  37. 50
  38. Obtuse
  39. West
  40. 70

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