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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 67 · 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.Three angles together make a straight line. Two of them are 55° and 25°. What is the third angle (in degrees)?
  2. 2.Three angles together make a straight line. Two of them are 15° and 155°. What is the third angle (in degrees)?
  3. 3.An angle measures 65°. What kind of angle is it? (a) Acute (b) Reflex (c) Right
  4. 4.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) East (b) North (c) West (d) South
  5. 5.You face North and turn clockwise through 90°. Which direction do you face now? (a) South (b) North (c) West (d) East
  6. 6.Four angles meet at a point. Three of them are 80°, 90° and 150°. What is the fourth angle (in degrees)?
  7. 7.Four angles meet at a point. Three of them are 40°, 90° and 120°. What is the fourth angle (in degrees)?
  8. 8.The minute hand of a clock turns clockwise from 8 to 5. How many degrees does it turn?
  9. 9.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  10. 10.The minute hand of a clock turns clockwise from 7 to 10. How many degrees does it turn?
  11. 11.You face West and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) South (c) East (d) North
  12. 12.The minute hand of a clock turns clockwise from 2 to 4. How many degrees does it turn?
  13. 13.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  14. 14.Three angles together make a straight line. Two of them are 80° and 85°. What is the third angle (in degrees)?
  15. 15.Three angles together make a straight line. Two of them are 15° and 55°. What is the third angle (in degrees)?
  16. 16.Four angles meet at a point. Three of them are 80°, 50° and 210°. What is the fourth angle (in degrees)?
  17. 17.The minute hand of a clock turns clockwise from 5 to 4. How many degrees does it turn?
  18. 18.Three angles together make a straight line. Two of them are 20° and 65°. What is the third angle (in degrees)?
  19. 19.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  20. 20.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  21. 21.The minute hand of a clock turns clockwise from 7 to 3. How many degrees does it turn?
  22. 22.Three angles together make a straight line. Two of them are 90° and 40°. What is the third angle (in degrees)?
  23. 23.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  24. 24.Four angles meet at a point. Three of them are 50°, 50° and 50°. What is the fourth angle (in degrees)?
  25. 25.Four angles meet at a point. Three of them are 60°, 60° and 180°. What is the fourth angle (in degrees)?
  26. 26.An angle measures 330°. What kind of angle is it? (a) Acute (b) Reflex (c) Straight
  27. 27.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  28. 28.An angle measures 90°. What kind of angle is it? (a) Right (b) Reflex (c) Obtuse
  29. 29.The minute hand of a clock turns clockwise from 3 to 6. How many degrees does it turn?
  30. 30.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  31. 31.Three angles together make a straight line. Two of them are 20° and 135°. What is the third angle (in degrees)?
  32. 32.Four angles meet at a point. Three of them are 100°, 30° and 110°. What is the fourth angle (in degrees)?
  33. 33.An angle measures 180°. What kind of angle is it? (a) Obtuse (b) Straight (c) Acute
  34. 34.You face East and turn clockwise through 180°. Which direction do you face now? (a) North (b) West (c) South (d) East
  35. 35.Four angles meet at a point. Three of them are 100°, 30° and 80°. What is the fourth angle (in degrees)?
  36. 36.Four angles meet at a point. Three of them are 30°, 70° and 210°. What is the fourth angle (in degrees)?
  37. 37.You face West and turn anticlockwise through 180°. Which direction do you face now? (a) East (b) South (c) West (d) North
  38. 38.Three angles together make a straight line. Two of them are 85° and 70°. What is the third angle (in degrees)?
  39. 39.Four angles meet at a point. Three of them are 30°, 70° and 50°. What is the fourth angle (in degrees)?
  40. 40.Four angles meet at a point. Three of them are 70°, 60° and 210°. What is the fourth angle (in degrees)?

Answer key

  1. 100
  2. 10
  3. Acute
  4. South
  5. East
  6. 40
  7. 110
  8. 270
  9. 30
  10. 90
  11. North
  12. 60
  13. 20
  14. 15
  15. 110
  16. 20
  17. 330
  18. 95
  19. 120
  20. 60
  21. 240
  22. 50
  23. 60
  24. 210
  25. 60
  26. Reflex
  27. 40
  28. Right
  29. 90
  30. 30
  31. 25
  32. 120
  33. Straight
  34. West
  35. 150
  36. 50
  37. East
  38. 25
  39. 210
  40. 20

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