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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 418 · 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.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  2. 2.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  3. 3.An angle measures 5°. What kind of angle is it? (a) Reflex (b) Acute (c) Straight
  4. 4.The minute hand of a clock turns clockwise from 10 to 6. How many degrees does it turn?
  5. 5.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  6. 6.An angle measures 180°. What kind of angle is it? (a) Acute (b) Right (c) Straight
  7. 7.The minute hand of a clock turns clockwise from 2 to 4. How many degrees does it turn?
  8. 8.An angle measures 140°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Acute
  9. 9.An angle measures 90°. What kind of angle is it? (a) Straight (b) Acute (c) Right
  10. 10.Three angles together make a straight line. Two of them are 85° and 20°. What is the third angle (in degrees)?
  11. 11.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  12. 12.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  13. 13.You face South and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) North (c) East (d) West
  14. 14.Four angles meet at a point. Three of them are 70°, 70° and 180°. What is the fourth angle (in degrees)?
  15. 15.Three angles together make a straight line. Two of them are 35° and 55°. What is the third angle (in degrees)?
  16. 16.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) North (c) South (d) West
  17. 17.Three angles together make a straight line. Two of them are 40° and 50°. What is the third angle (in degrees)?
  18. 18.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  19. 19.The minute hand of a clock turns clockwise from 1 to 4. How many degrees does it turn?
  20. 20.The minute hand of a clock turns clockwise from 1 to 12. How many degrees does it turn?
  21. 21.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) East (c) South (d) West
  22. 22.An angle measures 215°. What kind of angle is it? (a) Obtuse (b) Acute (c) Reflex
  23. 23.An angle measures 125°. What kind of angle is it? (a) Right (b) Obtuse (c) Straight
  24. 24.The minute hand of a clock turns clockwise from 1 to 3. How many degrees does it turn?
  25. 25.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  26. 26.You face West and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) East (c) South (d) West
  27. 27.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) West (c) East (d) South
  28. 28.You face West and turn clockwise through 90°. Which direction do you face now? (a) East (b) South (c) North (d) West
  29. 29.Four angles meet at a point. Three of them are 60°, 80° and 190°. What is the fourth angle (in degrees)?
  30. 30.The minute hand of a clock turns clockwise from 4 to 7. How many degrees does it turn?
  31. 31.Four angles meet at a point. Three of them are 30°, 90° and 150°. What is the fourth angle (in degrees)?
  32. 32.The minute hand of a clock turns clockwise from 4 to 1. How many degrees does it turn?
  33. 33.Four angles meet at a point. Three of them are 40°, 60° and 50°. What is the fourth angle (in degrees)?
  34. 34.Four angles meet at a point. Three of them are 70°, 50° and 220°. What is the fourth angle (in degrees)?
  35. 35.An angle measures 85°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Acute
  36. 36.Three angles together make a straight line. Two of them are 75° and 40°. What is the third angle (in degrees)?
  37. 37.An angle measures 105°. What kind of angle is it? (a) Acute (b) Reflex (c) Obtuse
  38. 38.Three angles together make a straight line. Two of them are 30° and 80°. What is the third angle (in degrees)?
  39. 39.An angle measures 100°. What kind of angle is it? (a) Acute (b) Right (c) Obtuse
  40. 40.Three angles together make a straight line. Two of them are 55° and 20°. What is the third angle (in degrees)?

Answer key

  1. 60
  2. 45
  3. Acute
  4. 240
  5. 72
  6. Straight
  7. 60
  8. Obtuse
  9. Right
  10. 75
  11. 36
  12. 90
  13. North
  14. 40
  15. 90
  16. North
  17. 90
  18. 15
  19. 90
  20. 330
  21. West
  22. Reflex
  23. Obtuse
  24. 60
  25. 18
  26. North
  27. South
  28. North
  29. 30
  30. 90
  31. 90
  32. 270
  33. 210
  34. 20
  35. Acute
  36. 65
  37. Obtuse
  38. 70
  39. Obtuse
  40. 105

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