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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 507 · 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.Three angles together make a straight line. Two of them are 55° and 10°. What is the third angle (in degrees)?
  2. 2.Three angles together make a straight line. Two of them are 90° and 60°. What is the third angle (in degrees)?
  3. 3.Four angles meet at a point. Three of them are 70°, 50° and 150°. What is the fourth angle (in degrees)?
  4. 4.Three angles together make a straight line. Two of them are 100° and 30°. What is the third angle (in degrees)?
  5. 5.Four angles meet at a point. Three of them are 40°, 70° and 60°. What is the fourth angle (in degrees)?
  6. 6.Three angles together make a straight line. Two of them are 10° and 160°. What is the third angle (in degrees)?
  7. 7.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) South (c) North (d) East
  8. 8.Three angles together make a straight line. Two of them are 10° and 75°. What is the third angle (in degrees)?
  9. 9.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  10. 10.An angle measures 115°. What kind of angle is it? (a) Obtuse (b) Right (c) Reflex
  11. 11.The minute hand of a clock turns clockwise from 8 to 4. How many degrees does it turn?
  12. 12.You face North and turn clockwise through 180°. Which direction do you face now? (a) South (b) North (c) West (d) East
  13. 13.The minute hand of a clock turns clockwise from 10 to 8. How many degrees does it turn?
  14. 14.Three angles together make a straight line. Two of them are 95° and 75°. What is the third angle (in degrees)?
  15. 15.Three angles together make a straight line. Two of them are 55° and 65°. What is the third angle (in degrees)?
  16. 16.The minute hand of a clock turns clockwise from 4 to 3. How many degrees does it turn?
  17. 17.Three angles together make a straight line. Two of them are 60° and 65°. What is the third angle (in degrees)?
  18. 18.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  19. 19.An angle measures 90°. What kind of angle is it? (a) Right (b) Acute (c) Straight
  20. 20.The minute hand of a clock turns clockwise from 8 to 10. How many degrees does it turn?
  21. 21.Four angles meet at a point. Three of them are 50°, 80° and 210°. What is the fourth angle (in degrees)?
  22. 22.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  23. 23.Three angles together make a straight line. Two of them are 55° and 70°. What is the third angle (in degrees)?
  24. 24.You face West and turn clockwise through 90°. Which direction do you face now? (a) East (b) West (c) North (d) South
  25. 25.The minute hand of a clock turns clockwise from 10 to 1. How many degrees does it turn?
  26. 26.The minute hand of a clock turns clockwise from 1 to 8. How many degrees does it turn?
  27. 27.Three angles together make a straight line. Two of them are 45° and 125°. What is the third angle (in degrees)?
  28. 28.An angle measures 215°. What kind of angle is it? (a) Reflex (b) Straight (c) Right
  29. 29.You face West and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) East (c) North (d) West
  30. 30.An angle measures 280°. What kind of angle is it? (a) Acute (b) Reflex (c) Straight
  31. 31.Three angles together make a straight line. Two of them are 30° and 75°. What is the third angle (in degrees)?
  32. 32.An angle measures 80°. What kind of angle is it? (a) Straight (b) Acute (c) Obtuse
  33. 33.The minute hand of a clock turns clockwise from 11 to 12. How many degrees does it turn?
  34. 34.An angle measures 180°. What kind of angle is it? (a) Straight (b) Acute (c) Obtuse
  35. 35.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  36. 36.Four angles meet at a point. Three of them are 50°, 30° and 120°. What is the fourth angle (in degrees)?
  37. 37.The minute hand of a clock turns clockwise from 1 to 3. How many degrees does it turn?
  38. 38.Three angles together make a straight line. Two of them are 60° and 80°. What is the third angle (in degrees)?
  39. 39.Four angles meet at a point. Three of them are 50°, 60° and 80°. What is the fourth angle (in degrees)?
  40. 40.You face West and turn clockwise through 180°. Which direction do you face now? (a) East (b) West (c) South (d) North

Answer key

  1. 115
  2. 30
  3. 90
  4. 50
  5. 190
  6. 10
  7. West
  8. 95
  9. 120
  10. Obtuse
  11. 240
  12. South
  13. 300
  14. 10
  15. 60
  16. 330
  17. 55
  18. 60
  19. Right
  20. 60
  21. 20
  22. 72
  23. 55
  24. North
  25. 90
  26. 210
  27. 10
  28. Reflex
  29. East
  30. Reflex
  31. 75
  32. Acute
  33. 30
  34. Straight
  35. 15
  36. 160
  37. 60
  38. 40
  39. 170
  40. East

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