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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 192 · 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 85° and 65°. What is the third angle (in degrees)?
  2. 2.You face North and turn clockwise through 90°. Which direction do you face now? (a) South (b) North (c) West (d) East
  3. 3.The minute hand of a clock turns clockwise from 5 to 9. How many degrees does it turn?
  4. 4.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  5. 5.An angle measures 200°. What kind of angle is it? (a) Right (b) Reflex (c) Acute
  6. 6.The minute hand of a clock turns clockwise from 7 to 12. How many degrees does it turn?
  7. 7.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) North (c) East (d) South
  8. 8.The minute hand of a clock turns clockwise from 12 to 6. How many degrees does it turn?
  9. 9.Three angles together make a straight line. Two of them are 80° and 45°. What is the third angle (in degrees)?
  10. 10.Four angles meet at a point. Three of them are 60°, 100° and 180°. What is the fourth angle (in degrees)?
  11. 11.The minute hand of a clock turns clockwise from 1 to 3. How many degrees does it turn?
  12. 12.You face South and turn clockwise through 270°. Which direction do you face now? (a) South (b) East (c) West (d) North
  13. 13.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  14. 14.The minute hand of a clock turns clockwise from 10 to 8. How many degrees does it turn?
  15. 15.The minute hand of a clock turns clockwise from 3 to 4. How many degrees does it turn?
  16. 16.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) South (c) North (d) East
  17. 17.An angle measures 115°. What kind of angle is it? (a) Obtuse (b) Acute (c) Reflex
  18. 18.An angle measures 135°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Right
  19. 19.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  20. 20.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) South (c) East (d) North
  21. 21.Four angles meet at a point. Three of them are 80°, 70° and 50°. What is the fourth angle (in degrees)?
  22. 22.An angle measures 180°. What kind of angle is it? (a) Right (b) Obtuse (c) Straight
  23. 23.You face South and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) South (c) North (d) East
  24. 24.Four angles meet at a point. Three of them are 80°, 90° and 120°. What is the fourth angle (in degrees)?
  25. 25.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  26. 26.An angle measures 90°. What kind of angle is it? (a) Right (b) Reflex (c) Acute
  27. 27.Four angles meet at a point. Three of them are 50°, 90° and 120°. What is the fourth angle (in degrees)?
  28. 28.Four angles meet at a point. Three of them are 80°, 70° and 160°. What is the fourth angle (in degrees)?
  29. 29.Three angles together make a straight line. Two of them are 15° and 110°. What is the third angle (in degrees)?
  30. 30.Three angles together make a straight line. Two of them are 75° and 75°. What is the third angle (in degrees)?
  31. 31.The minute hand of a clock turns clockwise from 5 to 6. How many degrees does it turn?
  32. 32.Three angles together make a straight line. Two of them are 10° and 115°. What is the third angle (in degrees)?
  33. 33.An angle measures 220°. What kind of angle is it? (a) Reflex (b) Straight (c) Obtuse
  34. 34.Four angles meet at a point. Three of them are 60°, 80° and 210°. What is the fourth angle (in degrees)?
  35. 35.Three angles together make a straight line. Two of them are 10° and 135°. What is the third angle (in degrees)?
  36. 36.An angle measures 140°. What kind of angle is it? (a) Acute (b) Straight (c) Obtuse
  37. 37.Three angles together make a straight line. Two of them are 90° and 10°. What is the third angle (in degrees)?
  38. 38.The minute hand of a clock turns clockwise from 10 to 12. How many degrees does it turn?
  39. 39.Four angles meet at a point. Three of them are 100°, 80° and 140°. What is the fourth angle (in degrees)?
  40. 40.Four angles meet at a point. Three of them are 50°, 60° and 210°. What is the fourth angle (in degrees)?

Answer key

  1. 30
  2. East
  3. 120
  4. 20
  5. Reflex
  6. 150
  7. West
  8. 180
  9. 55
  10. 20
  11. 60
  12. East
  13. 45
  14. 300
  15. 30
  16. North
  17. Obtuse
  18. Obtuse
  19. 90
  20. South
  21. 160
  22. Straight
  23. North
  24. 70
  25. 60
  26. Right
  27. 100
  28. 50
  29. 55
  30. 30
  31. 30
  32. 55
  33. Reflex
  34. 10
  35. 35
  36. Obtuse
  37. 80
  38. 60
  39. 40
  40. 40

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