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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 251 · 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 3 equal angles. How big is each angle (in degrees)?
  2. 2.Four angles meet at a point. Three of them are 30°, 30° and 140°. What is the fourth angle (in degrees)?
  3. 3.Three angles together make a straight line. Two of them are 85° and 40°. What is the third angle (in degrees)?
  4. 4.You face West and turn clockwise through 270°. Which direction do you face now? (a) West (b) East (c) South (d) North
  5. 5.You face West and turn clockwise through 180°. Which direction do you face now? (a) North (b) South (c) East (d) West
  6. 6.An angle measures 155°. What kind of angle is it? (a) Straight (b) Right (c) Obtuse
  7. 7.The minute hand of a clock turns clockwise from 12 to 1. How many degrees does it turn?
  8. 8.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) East (c) West (d) South
  9. 9.An angle measures 125°. What kind of angle is it? (a) Obtuse (b) Straight (c) Acute
  10. 10.Three angles together make a straight line. Two of them are 85° and 60°. What is the third angle (in degrees)?
  11. 11.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  12. 12.Four angles meet at a point. Three of them are 60°, 40° and 210°. What is the fourth angle (in degrees)?
  13. 13.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  14. 14.An angle measures 180°. What kind of angle is it? (a) Acute (b) Straight (c) Reflex
  15. 15.Four angles meet at a point. Three of them are 30°, 90° and 220°. What is the fourth angle (in degrees)?
  16. 16.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  17. 17.Four angles meet at a point. Three of them are 90°, 40° and 220°. What is the fourth angle (in degrees)?
  18. 18.The minute hand of a clock turns clockwise from 10 to 5. How many degrees does it turn?
  19. 19.Three angles together make a straight line. Two of them are 70° and 75°. What is the third angle (in degrees)?
  20. 20.Three angles together make a straight line. Two of them are 15° and 40°. What is the third angle (in degrees)?
  21. 21.Four angles meet at a point. Three of them are 50°, 60° and 120°. What is the fourth angle (in degrees)?
  22. 22.The minute hand of a clock turns clockwise from 6 to 8. How many degrees does it turn?
  23. 23.Four angles meet at a point. Three of them are 70°, 40° and 180°. What is the fourth angle (in degrees)?
  24. 24.Three angles together make a straight line. Two of them are 45° and 75°. What is the third angle (in degrees)?
  25. 25.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) East (c) West (d) North
  26. 26.The minute hand of a clock turns clockwise from 5 to 8. How many degrees does it turn?
  27. 27.The minute hand of a clock turns clockwise from 1 to 2. How many degrees does it turn?
  28. 28.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  29. 29.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  30. 30.The minute hand of a clock turns clockwise from 8 to 4. How many degrees does it turn?
  31. 31.The minute hand of a clock turns clockwise from 9 to 5. How many degrees does it turn?
  32. 32.Four angles meet at a point. Three of them are 40°, 70° and 90°. What is the fourth angle (in degrees)?
  33. 33.The minute hand of a clock turns clockwise from 11 to 6. How many degrees does it turn?
  34. 34.The minute hand of a clock turns clockwise from 2 to 11. How many degrees does it turn?
  35. 35.Four angles meet at a point. Three of them are 50°, 40° and 70°. What is the fourth angle (in degrees)?
  36. 36.An angle measures 145°. What kind of angle is it? (a) Obtuse (b) Straight (c) Acute
  37. 37.An angle measures 115°. What kind of angle is it? (a) Right (b) Obtuse (c) Acute
  38. 38.The minute hand of a clock turns clockwise from 3 to 12. How many degrees does it turn?
  39. 39.Three angles together make a straight line. Two of them are 75° and 70°. What is the third angle (in degrees)?
  40. 40.Four angles meet at a point. Three of them are 70°, 80° and 70°. What is the fourth angle (in degrees)?

Answer key

  1. 120
  2. 160
  3. 55
  4. South
  5. East
  6. Obtuse
  7. 30
  8. West
  9. Obtuse
  10. 35
  11. 15
  12. 50
  13. 60
  14. Straight
  15. 20
  16. 30
  17. 10
  18. 210
  19. 35
  20. 125
  21. 130
  22. 60
  23. 70
  24. 60
  25. East
  26. 90
  27. 30
  28. 60
  29. 36
  30. 240
  31. 240
  32. 160
  33. 210
  34. 270
  35. 200
  36. Obtuse
  37. Obtuse
  38. 270
  39. 35
  40. 140

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