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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 21 · 40 sums
TalentJR

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 30°, 90° and 80°. What is the fourth angle (in degrees)?
  2. 2.You face North and turn clockwise through 90°. Which direction do you face now? (a) South (b) East (c) West (d) North
  3. 3.Four angles meet at a point. Three of them are 30°, 30° and 270°. What is the fourth angle (in degrees)?
  4. 4.Four angles meet at a point. Three of them are 30°, 100° and 40°. What is the fourth angle (in degrees)?
  5. 5.Three angles together make a straight line. Two of them are 40° and 125°. What is the third angle (in degrees)?
  6. 6.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  7. 7.The minute hand of a clock turns clockwise from 1 to 3. How many degrees does it turn?
  8. 8.An angle measures 100°. What kind of angle is it? (a) Acute (b) Straight (c) Obtuse
  9. 9.An angle measures 20°. What kind of angle is it? (a) Obtuse (b) Right (c) Acute
  10. 10.Four angles meet at a point. Three of them are 80°, 50° and 120°. What is the fourth angle (in degrees)?
  11. 11.The minute hand of a clock turns clockwise from 11 to 7. How many degrees does it turn?
  12. 12.You face South and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) North (c) West (d) East
  13. 13.You face East and turn clockwise through 180°. Which direction do you face now? (a) South (b) North (c) East (d) West
  14. 14.Four angles meet at a point. Three of them are 100°, 80° and 110°. What is the fourth angle (in degrees)?
  15. 15.You face West and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) East (c) South (d) West
  16. 16.An angle measures 180°. What kind of angle is it? (a) Acute (b) Straight (c) Right
  17. 17.You face South and turn clockwise through 270°. Which direction do you face now? (a) North (b) West (c) South (d) East
  18. 18.An angle measures 55°. What kind of angle is it? (a) Straight (b) Reflex (c) Acute
  19. 19.An angle measures 145°. What kind of angle is it? (a) Right (b) Obtuse (c) Reflex
  20. 20.The minute hand of a clock turns clockwise from 4 to 3. How many degrees does it turn?
  21. 21.The minute hand of a clock turns clockwise from 3 to 4. How many degrees does it turn?
  22. 22.Three angles together make a straight line. Two of them are 60° and 60°. What is the third angle (in degrees)?
  23. 23.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  24. 24.Four angles meet at a point. Three of them are 100°, 100° and 90°. What is the fourth angle (in degrees)?
  25. 25.Three angles together make a straight line. Two of them are 60° and 15°. What is the third angle (in degrees)?
  26. 26.The minute hand of a clock turns clockwise from 12 to 9. How many degrees does it turn?
  27. 27.Three angles together make a straight line. Two of them are 30° and 85°. What is the third angle (in degrees)?
  28. 28.Three angles together make a straight line. Two of them are 90° and 75°. What is the third angle (in degrees)?
  29. 29.An angle measures 105°. What kind of angle is it? (a) Obtuse (b) Acute (c) Reflex
  30. 30.The minute hand of a clock turns clockwise from 11 to 1. How many degrees does it turn?
  31. 31.The minute hand of a clock turns clockwise from 6 to 1. How many degrees does it turn?
  32. 32.Three angles together make a straight line. Two of them are 55° and 10°. What is the third angle (in degrees)?
  33. 33.The minute hand of a clock turns clockwise from 1 to 8. How many degrees does it turn?
  34. 34.Four angles meet at a point. Three of them are 90°, 40° and 90°. What is the fourth angle (in degrees)?
  35. 35.An angle measures 125°. What kind of angle is it? (a) Reflex (b) Right (c) Obtuse
  36. 36.The minute hand of a clock turns clockwise from 11 to 2. How many degrees does it turn?
  37. 37.An angle measures 190°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Right
  38. 38.Three angles together make a straight line. Two of them are 100° and 60°. What is the third angle (in degrees)?
  39. 39.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  40. 40.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) North (c) West (d) East

Answer key

  1. 160
  2. East
  3. 30
  4. 190
  5. 15
  6. 60
  7. 60
  8. Obtuse
  9. Acute
  10. 110
  11. 240
  12. North
  13. West
  14. 70
  15. North
  16. Straight
  17. East
  18. Acute
  19. Obtuse
  20. 330
  21. 30
  22. 60
  23. 72
  24. 70
  25. 105
  26. 270
  27. 65
  28. 15
  29. Obtuse
  30. 60
  31. 210
  32. 115
  33. 210
  34. 140
  35. Obtuse
  36. 90
  37. Reflex
  38. 20
  39. 60
  40. West

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