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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 80 · 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.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) North (c) West (d) South
  2. 2.Three angles together make a straight line. Two of them are 85° and 25°. What is the third angle (in degrees)?
  3. 3.The minute hand of a clock turns clockwise from 11 to 4. How many degrees does it turn?
  4. 4.An angle measures 35°. What kind of angle is it? (a) Reflex (b) Acute (c) Right
  5. 5.You face East and turn clockwise through 90°. Which direction do you face now? (a) East (b) West (c) South (d) North
  6. 6.An angle measures 110°. What kind of angle is it? (a) Acute (b) Right (c) Obtuse
  7. 7.Three angles together make a straight line. Two of them are 45° and 50°. What is the third angle (in degrees)?
  8. 8.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  9. 9.Three angles together make a straight line. Two of them are 30° and 140°. What is the third angle (in degrees)?
  10. 10.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  11. 11.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) West (c) North (d) East
  12. 12.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  13. 13.An angle measures 90°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Right
  14. 14.Three angles together make a straight line. Two of them are 100° and 25°. What is the third angle (in degrees)?
  15. 15.Three angles together make a straight line. Two of them are 75° and 15°. What is the third angle (in degrees)?
  16. 16.You face South and turn clockwise through 270°. Which direction do you face now? (a) North (b) East (c) South (d) West
  17. 17.Four angles meet at a point. Three of them are 60°, 60° and 120°. What is the fourth angle (in degrees)?
  18. 18.The minute hand of a clock turns clockwise from 6 to 1. How many degrees does it turn?
  19. 19.An angle measures 40°. What kind of angle is it? (a) Right (b) Straight (c) Acute
  20. 20.Three angles together make a straight line. Two of them are 50° and 80°. What is the third angle (in degrees)?
  21. 21.Three angles together make a straight line. Two of them are 40° and 60°. What is the third angle (in degrees)?
  22. 22.Three angles together make a straight line. Two of them are 40° and 80°. What is the third angle (in degrees)?
  23. 23.The minute hand of a clock turns clockwise from 3 to 11. How many degrees does it turn?
  24. 24.Four angles meet at a point. Three of them are 100°, 70° and 50°. What is the fourth angle (in degrees)?
  25. 25.Three angles together make a straight line. Two of them are 70° and 35°. What is the third angle (in degrees)?
  26. 26.Four angles meet at a point. Three of them are 80°, 80° and 120°. What is the fourth angle (in degrees)?
  27. 27.The minute hand of a clock turns clockwise from 2 to 6. How many degrees does it turn?
  28. 28.Four angles meet at a point. Three of them are 100°, 80° and 60°. What is the fourth angle (in degrees)?
  29. 29.The minute hand of a clock turns clockwise from 4 to 3. How many degrees does it turn?
  30. 30.Three angles together make a straight line. Two of them are 70° and 85°. What is the third angle (in degrees)?
  31. 31.The minute hand of a clock turns clockwise from 11 to 7. How many degrees does it turn?
  32. 32.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  33. 33.The minute hand of a clock turns clockwise from 2 to 4. How many degrees does it turn?
  34. 34.The minute hand of a clock turns clockwise from 4 to 1. How many degrees does it turn?
  35. 35.You face South and turn clockwise through 90°. Which direction do you face now? (a) East (b) South (c) North (d) West
  36. 36.The minute hand of a clock turns clockwise from 2 to 12. How many degrees does it turn?
  37. 37.An angle measures 180°. What kind of angle is it? (a) Right (b) Obtuse (c) Straight
  38. 38.You face West and turn anticlockwise through 180°. Which direction do you face now? (a) East (b) South (c) North (d) West
  39. 39.Three angles together make a straight line. Two of them are 80° and 25°. What is the third angle (in degrees)?
  40. 40.Four angles meet at a point. Three of them are 30°, 90° and 200°. What is the fourth angle (in degrees)?

Answer key

  1. South
  2. 70
  3. 150
  4. Acute
  5. South
  6. Obtuse
  7. 85
  8. 60
  9. 10
  10. 36
  11. West
  12. 30
  13. Right
  14. 55
  15. 90
  16. East
  17. 120
  18. 210
  19. Acute
  20. 50
  21. 80
  22. 60
  23. 240
  24. 140
  25. 75
  26. 80
  27. 120
  28. 120
  29. 330
  30. 25
  31. 240
  32. 40
  33. 60
  34. 270
  35. West
  36. 300
  37. Straight
  38. East
  39. 75
  40. 40

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