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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 437 · 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 30°, 60° and 100°. What is the fourth angle (in degrees)?
  2. 2.Four angles meet at a point. Three of them are 90°, 40° and 200°. What is the fourth angle (in degrees)?
  3. 3.You face North and turn clockwise through 180°. Which direction do you face now? (a) South (b) North (c) East (d) West
  4. 4.The minute hand of a clock turns clockwise from 8 to 9. How many degrees does it turn?
  5. 5.Three angles together make a straight line. Two of them are 100° and 50°. What is the third angle (in degrees)?
  6. 6.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) East (c) West (d) South
  7. 7.Three angles together make a straight line. Two of them are 85° and 40°. What is the third angle (in degrees)?
  8. 8.An angle measures 90°. What kind of angle is it? (a) Acute (b) Right (c) Straight
  9. 9.The minute hand of a clock turns clockwise from 6 to 1. How many degrees does it turn?
  10. 10.You face West and turn clockwise through 90°. Which direction do you face now? (a) North (b) West (c) East (d) South
  11. 11.Three angles together make a straight line. Two of them are 75° and 25°. What is the third angle (in degrees)?
  12. 12.The minute hand of a clock turns clockwise from 7 to 6. How many degrees does it turn?
  13. 13.The minute hand of a clock turns clockwise from 10 to 9. How many degrees does it turn?
  14. 14.An angle measures 340°. What kind of angle is it? (a) Acute (b) Obtuse (c) Reflex
  15. 15.Four angles meet at a point. Three of them are 60°, 80° and 210°. What is the fourth angle (in degrees)?
  16. 16.The minute hand of a clock turns clockwise from 3 to 5. How many degrees does it turn?
  17. 17.Three angles together make a straight line. Two of them are 25° and 135°. What is the third angle (in degrees)?
  18. 18.An angle measures 255°. What kind of angle is it? (a) Obtuse (b) Right (c) Reflex
  19. 19.Three angles together make a straight line. Two of them are 60° and 10°. What is the third angle (in degrees)?
  20. 20.Three angles together make a straight line. Two of them are 100° and 15°. What is the third angle (in degrees)?
  21. 21.Three angles together make a straight line. Two of them are 85° and 75°. What is the third angle (in degrees)?
  22. 22.The minute hand of a clock turns clockwise from 3 to 1. How many degrees does it turn?
  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 30°, 50° and 210°. What is the fourth angle (in degrees)?
  25. 25.The minute hand of a clock turns clockwise from 6 to 3. How many degrees does it turn?
  26. 26.The minute hand of a clock turns clockwise from 9 to 7. How many degrees does it turn?
  27. 27.The minute hand of a clock turns clockwise from 1 to 12. How many degrees does it turn?
  28. 28.Four angles meet at a point. Three of them are 30°, 60° and 110°. What is the fourth angle (in degrees)?
  29. 29.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) South (c) North (d) West
  30. 30.The minute hand of a clock turns clockwise from 8 to 11. How many degrees does it turn?
  31. 31.An angle measures 135°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Straight
  32. 32.The minute hand of a clock turns clockwise from 1 to 6. How many degrees does it turn?
  33. 33.The minute hand of a clock turns clockwise from 12 to 6. How many degrees does it turn?
  34. 34.An angle measures 130°. What kind of angle is it? (a) Right (b) Reflex (c) Obtuse
  35. 35.An angle measures 85°. What kind of angle is it? (a) Straight (b) Acute (c) Reflex
  36. 36.Four angles meet at a point. Three of them are 60°, 60° and 150°. What is the fourth angle (in degrees)?
  37. 37.You face West and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) East (c) North (d) West
  38. 38.You face West and turn clockwise through 270°. Which direction do you face now? (a) North (b) South (c) West (d) East
  39. 39.The minute hand of a clock turns clockwise from 1 to 9. How many degrees does it turn?
  40. 40.Three angles together make a straight line. Two of them are 70° and 10°. What is the third angle (in degrees)?

Answer key

  1. 170
  2. 30
  3. South
  4. 30
  5. 30
  6. East
  7. 55
  8. Right
  9. 210
  10. North
  11. 80
  12. 330
  13. 330
  14. Reflex
  15. 10
  16. 60
  17. 20
  18. Reflex
  19. 110
  20. 65
  21. 20
  22. 300
  23. 72
  24. 70
  25. 270
  26. 300
  27. 330
  28. 160
  29. West
  30. 90
  31. Obtuse
  32. 150
  33. 180
  34. Obtuse
  35. Acute
  36. 90
  37. North
  38. South
  39. 240
  40. 100

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