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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 947 · 40 sums
TalentJR

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.Four angles meet at a point. Three of them are 50°, 60° and 130°. What is the fourth angle (in degrees)?
  2. 2.An angle measures 190°. What kind of angle is it? (a) Right (b) Reflex (c) Acute
  3. 3.An angle measures 90°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Right
  4. 4.Three angles together make a straight line. Two of them are 15° and 20°. What is the third angle (in degrees)?
  5. 5.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  6. 6.The minute hand of a clock turns clockwise from 8 to 1. How many degrees does it turn?
  7. 7.The minute hand of a clock turns clockwise from 5 to 12. How many degrees does it turn?
  8. 8.Four angles meet at a point. Three of them are 50°, 30° and 70°. What is the fourth angle (in degrees)?
  9. 9.The minute hand of a clock turns clockwise from 7 to 6. How many degrees does it turn?
  10. 10.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) South (c) West (d) East
  11. 11.An angle measures 180°. What kind of angle is it? (a) Right (b) Obtuse (c) Straight
  12. 12.Four angles meet at a point. Three of them are 80°, 50° and 200°. What is the fourth angle (in degrees)?
  13. 13.An angle measures 70°. What kind of angle is it? (a) Right (b) Straight (c) Acute
  14. 14.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  15. 15.The minute hand of a clock turns clockwise from 3 to 5. How many degrees does it turn?
  16. 16.The minute hand of a clock turns clockwise from 6 to 7. How many degrees does it turn?
  17. 17.Three angles together make a straight line. Two of them are 85° and 70°. What is the third angle (in degrees)?
  18. 18.An angle measures 275°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Acute
  19. 19.Three angles together make a straight line. Two of them are 20° and 45°. What is the third angle (in degrees)?
  20. 20.An angle measures 85°. What kind of angle is it? (a) Acute (b) Straight (c) Obtuse
  21. 21.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) West (c) South (d) East
  22. 22.The minute hand of a clock turns clockwise from 6 to 8. How many degrees does it turn?
  23. 23.An angle measures 310°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Right
  24. 24.Three angles together make a straight line. Two of them are 65° and 25°. What is the third angle (in degrees)?
  25. 25.Four angles meet at a point. Three of them are 60°, 80° and 150°. What is the fourth angle (in degrees)?
  26. 26.The minute hand of a clock turns clockwise from 4 to 9. How many degrees does it turn?
  27. 27.Three angles together make a straight line. Two of them are 45° and 65°. What is the third angle (in degrees)?
  28. 28.The minute hand of a clock turns clockwise from 11 to 7. How many degrees does it turn?
  29. 29.Four angles meet at a point. Three of them are 50°, 80° and 140°. What is the fourth angle (in degrees)?
  30. 30.Four angles meet at a point. Three of them are 40°, 70° and 80°. What is the fourth angle (in degrees)?
  31. 31.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) West (c) South (d) North
  32. 32.You face South and turn clockwise through 90°. Which direction do you face now? (a) South (b) East (c) North (d) West
  33. 33.You face West and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) South (c) North (d) East
  34. 34.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  35. 35.Four angles meet at a point. Three of them are 100°, 60° and 190°. What is the fourth angle (in degrees)?
  36. 36.Three angles together make a straight line. Two of them are 25° and 100°. What is the third angle (in degrees)?
  37. 37.The minute hand of a clock turns clockwise from 8 to 3. How many degrees does it turn?
  38. 38.The minute hand of a clock turns clockwise from 5 to 9. How many degrees does it turn?
  39. 39.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  40. 40.You face West and turn clockwise through 180°. Which direction do you face now? (a) West (b) North (c) South (d) East

Answer key

  1. 120
  2. Reflex
  3. Right
  4. 145
  5. 18
  6. 150
  7. 210
  8. 210
  9. 330
  10. West
  11. Straight
  12. 30
  13. Acute
  14. 72
  15. 60
  16. 30
  17. 25
  18. Reflex
  19. 115
  20. Acute
  21. North
  22. 60
  23. Reflex
  24. 90
  25. 70
  26. 150
  27. 70
  28. 240
  29. 90
  30. 170
  31. South
  32. West
  33. North
  34. 15
  35. 10
  36. 55
  37. 210
  38. 120
  39. 90
  40. East

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