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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 283 · 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 straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  2. 2.Four angles meet at a point. Three of them are 80°, 40° and 40°. What is the fourth angle (in degrees)?
  3. 3.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  4. 4.The minute hand of a clock turns clockwise from 2 to 12. How many degrees does it turn?
  5. 5.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  6. 6.Four angles meet at a point. Three of them are 70°, 80° and 200°. What is the fourth angle (in degrees)?
  7. 7.Three angles together make a straight line. Two of them are 80° and 50°. What is the third angle (in degrees)?
  8. 8.Four angles meet at a point. Three of them are 50°, 90° and 140°. What is the fourth angle (in degrees)?
  9. 9.You face South and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) North (c) East (d) South
  10. 10.The minute hand of a clock turns clockwise from 9 to 4. How many degrees does it turn?
  11. 11.The minute hand of a clock turns clockwise from 7 to 2. How many degrees does it turn?
  12. 12.An angle measures 130°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Right
  13. 13.An angle measures 175°. What kind of angle is it? (a) Right (b) Acute (c) Obtuse
  14. 14.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  15. 15.Three angles together make a straight line. Two of them are 85° and 25°. What is the third angle (in degrees)?
  16. 16.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) East (c) South (d) North
  17. 17.The minute hand of a clock turns clockwise from 6 to 4. How many degrees does it turn?
  18. 18.An angle measures 180°. What kind of angle is it? (a) Obtuse (b) Straight (c) Reflex
  19. 19.The minute hand of a clock turns clockwise from 1 to 3. How many degrees does it turn?
  20. 20.An angle measures 310°. What kind of angle is it? (a) Obtuse (b) Right (c) Reflex
  21. 21.The minute hand of a clock turns clockwise from 8 to 1. How many degrees does it turn?
  22. 22.Four angles meet at a point. Three of them are 90°, 50° and 30°. What is the fourth angle (in degrees)?
  23. 23.The minute hand of a clock turns clockwise from 6 to 3. How many degrees does it turn?
  24. 24.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  25. 25.The minute hand of a clock turns clockwise from 9 to 11. How many degrees does it turn?
  26. 26.An angle measures 195°. What kind of angle is it? (a) Reflex (b) Acute (c) Straight
  27. 27.Four angles meet at a point. Three of them are 40°, 90° and 90°. What is the fourth angle (in degrees)?
  28. 28.Four angles meet at a point. Three of them are 30°, 70° and 190°. What is the fourth angle (in degrees)?
  29. 29.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) West (c) East (d) North
  30. 30.You face South and turn clockwise through 180°. Which direction do you face now? (a) East (b) West (c) South (d) North
  31. 31.Four angles meet at a point. Three of them are 80°, 30° and 70°. What is the fourth angle (in degrees)?
  32. 32.Three angles together make a straight line. Two of them are 30° and 20°. What is the third angle (in degrees)?
  33. 33.You face North and turn clockwise through 90°. Which direction do you face now? (a) West (b) South (c) East (d) North
  34. 34.The minute hand of a clock turns clockwise from 2 to 3. How many degrees does it turn?
  35. 35.The minute hand of a clock turns clockwise from 3 to 9. How many degrees does it turn?
  36. 36.Four angles meet at a point. Three of them are 80°, 30° and 240°. What is the fourth angle (in degrees)?
  37. 37.You face West and turn clockwise through 180°. Which direction do you face now? (a) West (b) East (c) North (d) South
  38. 38.The minute hand of a clock turns clockwise from 11 to 7. How many degrees does it turn?
  39. 39.An angle measures 90°. What kind of angle is it? (a) Acute (b) Right (c) Reflex
  40. 40.Four angles meet at a point. Three of them are 80°, 90° and 30°. What is the fourth angle (in degrees)?

Answer key

  1. 15
  2. 200
  3. 40
  4. 300
  5. 60
  6. 10
  7. 50
  8. 80
  9. North
  10. 210
  11. 210
  12. Obtuse
  13. Obtuse
  14. 20
  15. 70
  16. South
  17. 300
  18. Straight
  19. 60
  20. Reflex
  21. 150
  22. 190
  23. 270
  24. 45
  25. 60
  26. Reflex
  27. 140
  28. 70
  29. West
  30. North
  31. 180
  32. 130
  33. East
  34. 30
  35. 180
  36. 10
  37. East
  38. 240
  39. Right
  40. 160

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