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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 222 · 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 6 equal angles. How big is each angle (in degrees)?
  2. 2.You face South and turn anticlockwise through 180°. Which direction do you face now? (a) North (b) South (c) East (d) West
  3. 3.The minute hand of a clock turns clockwise from 4 to 7. How many degrees does it turn?
  4. 4.The minute hand of a clock turns clockwise from 11 to 2. How many degrees does it turn?
  5. 5.Three angles together make a straight line. Two of them are 10° and 20°. What is the third angle (in degrees)?
  6. 6.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  7. 7.Three angles together make a straight line. Two of them are 20° and 150°. What is the third angle (in degrees)?
  8. 8.Three angles together make a straight line. Two of them are 10° and 95°. What is the third angle (in degrees)?
  9. 9.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) North (c) East (d) West
  10. 10.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  11. 11.Three angles together make a straight line. Two of them are 80° and 30°. What is the third angle (in degrees)?
  12. 12.You face West and turn clockwise through 180°. Which direction do you face now? (a) West (b) South (c) East (d) North
  13. 13.You face North and turn clockwise through 90°. Which direction do you face now? (a) East (b) West (c) South (d) North
  14. 14.Three angles together make a straight line. Two of them are 80° and 65°. What is the third angle (in degrees)?
  15. 15.An angle measures 210°. What kind of angle is it? (a) Straight (b) Acute (c) Reflex
  16. 16.An angle measures 180°. What kind of angle is it? (a) Obtuse (b) Straight (c) Acute
  17. 17.You face East and turn clockwise through 180°. Which direction do you face now? (a) North (b) South (c) West (d) East
  18. 18.An angle measures 90°. What kind of angle is it? (a) Acute (b) Right (c) Reflex
  19. 19.An angle measures 120°. What kind of angle is it? (a) Obtuse (b) Right (c) Reflex
  20. 20.An angle measures 335°. What kind of angle is it? (a) Right (b) Acute (c) Reflex
  21. 21.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  22. 22.Three angles together make a straight line. Two of them are 25° and 115°. What is the third angle (in degrees)?
  23. 23.Four angles meet at a point. Three of them are 60°, 60° and 170°. What is the fourth angle (in degrees)?
  24. 24.Four angles meet at a point. Three of them are 80°, 30° and 130°. What is the fourth angle (in degrees)?
  25. 25.The minute hand of a clock turns clockwise from 6 to 8. How many degrees does it turn?
  26. 26.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) North (c) East (d) West
  27. 27.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  28. 28.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  29. 29.Four angles meet at a point. Three of them are 50°, 60° and 40°. What is the fourth angle (in degrees)?
  30. 30.Four angles meet at a point. Three of them are 60°, 40° and 230°. What is the fourth angle (in degrees)?
  31. 31.Four angles meet at a point. Three of them are 50°, 60° and 90°. What is the fourth angle (in degrees)?
  32. 32.Three angles together make a straight line. Two of them are 15° and 80°. What is the third angle (in degrees)?
  33. 33.An angle measures 30°. What kind of angle is it? (a) Straight (b) Obtuse (c) Acute
  34. 34.Three angles together make a straight line. Two of them are 80° and 35°. What is the third angle (in degrees)?
  35. 35.The minute hand of a clock turns clockwise from 11 to 6. How many degrees does it turn?
  36. 36.Three angles together make a straight line. Two of them are 30° and 105°. What is the third angle (in degrees)?
  37. 37.Three angles together make a straight line. Two of them are 45° and 50°. What is the third angle (in degrees)?
  38. 38.Three angles together make a straight line. Two of them are 65° and 60°. What is the third angle (in degrees)?
  39. 39.Four angles meet at a point. Three of them are 90°, 60° and 120°. What is the fourth angle (in degrees)?
  40. 40.An angle measures 270°. What kind of angle is it? (a) Acute (b) Reflex (c) Obtuse

Answer key

  1. 60
  2. North
  3. 90
  4. 90
  5. 150
  6. 36
  7. 10
  8. 75
  9. West
  10. 40
  11. 70
  12. East
  13. East
  14. 35
  15. Reflex
  16. Straight
  17. West
  18. Right
  19. Obtuse
  20. Reflex
  21. 72
  22. 40
  23. 70
  24. 120
  25. 60
  26. East
  27. 45
  28. 30
  29. 210
  30. 30
  31. 160
  32. 85
  33. Acute
  34. 65
  35. 210
  36. 45
  37. 85
  38. 55
  39. 90
  40. Reflex

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