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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 714 · 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.

NameDateTime takenScore ___ / 40
  1. 1.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  2. 2.The minute hand of a clock turns clockwise from 2 to 11. How many degrees does it turn?
  3. 3.Three angles together make a straight line. Two of them are 15° and 40°. What is the third angle (in degrees)?
  4. 4.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  5. 5.The minute hand of a clock turns clockwise from 12 to 11. How many degrees does it turn?
  6. 6.The minute hand of a clock turns clockwise from 2 to 4. How many degrees does it turn?
  7. 7.An angle measures 105°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Right
  8. 8.Four angles meet at a point. Three of them are 100°, 50° and 190°. What is the fourth angle (in degrees)?
  9. 9.Four angles meet at a point. Three of them are 100°, 80° and 90°. What is the fourth angle (in degrees)?
  10. 10.You face North and turn clockwise through 270°. Which direction do you face now? (a) South (b) North (c) East (d) West
  11. 11.Four angles meet at a point. Three of them are 30°, 40° and 200°. What is the fourth angle (in degrees)?
  12. 12.The minute hand of a clock turns clockwise from 11 to 1. How many degrees does it turn?
  13. 13.Three angles together make a straight line. Two of them are 45° and 120°. What is the third angle (in degrees)?
  14. 14.Three angles together make a straight line. Two of them are 70° and 70°. What is the third angle (in degrees)?
  15. 15.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  16. 16.Four angles meet at a point. Three of them are 90°, 40° and 90°. What is the fourth angle (in degrees)?
  17. 17.Three angles together make a straight line. Two of them are 80° and 55°. What is the third angle (in degrees)?
  18. 18.Three angles together make a straight line. Two of them are 50° and 35°. What is the third angle (in degrees)?
  19. 19.Three angles together make a straight line. Two of them are 90° and 25°. What is the third angle (in degrees)?
  20. 20.Three angles together make a straight line. Two of them are 40° and 120°. What is the third angle (in degrees)?
  21. 21.An angle measures 90°. What kind of angle is it? (a) Straight (b) Reflex (c) Right
  22. 22.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) South (c) East (d) North
  23. 23.You face West and turn clockwise through 270°. Which direction do you face now? (a) North (b) East (c) South (d) West
  24. 24.Three angles together make a straight line. Two of them are 30° and 60°. What is the third angle (in degrees)?
  25. 25.The minute hand of a clock turns clockwise from 9 to 4. How many degrees does it turn?
  26. 26.An angle measures 230°. What kind of angle is it? (a) Reflex (b) Right (c) Acute
  27. 27.Four angles meet at a point. Three of them are 60°, 40° and 50°. What is the fourth angle (in degrees)?
  28. 28.The minute hand of a clock turns clockwise from 1 to 10. How many degrees does it turn?
  29. 29.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  30. 30.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) South (c) East (d) North
  31. 31.The minute hand of a clock turns clockwise from 9 to 11. How many degrees does it turn?
  32. 32.Four angles meet at a point. Three of them are 60°, 50° and 130°. What is the fourth angle (in degrees)?
  33. 33.An angle measures 35°. What kind of angle is it? (a) Acute (b) Right (c) Obtuse
  34. 34.You face West and turn anticlockwise through 180°. Which direction do you face now? (a) East (b) North (c) South (d) West
  35. 35.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  36. 36.Four angles meet at a point. Three of them are 60°, 40° and 200°. What is the fourth angle (in degrees)?
  37. 37.An angle measures 180°. What kind of angle is it? (a) Right (b) Straight (c) Reflex
  38. 38.The minute hand of a clock turns clockwise from 8 to 3. How many degrees does it turn?
  39. 39.Four angles meet at a point. Three of them are 100°, 80° and 150°. What is the fourth angle (in degrees)?
  40. 40.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?

Answer key

  1. 30
  2. 270
  3. 125
  4. 40
  5. 330
  6. 60
  7. Obtuse
  8. 20
  9. 90
  10. West
  11. 90
  12. 60
  13. 15
  14. 40
  15. 45
  16. 140
  17. 45
  18. 95
  19. 65
  20. 20
  21. Right
  22. East
  23. South
  24. 90
  25. 210
  26. Reflex
  27. 210
  28. 270
  29. 36
  30. West
  31. 60
  32. 120
  33. Acute
  34. East
  35. 30
  36. 60
  37. Straight
  38. 210
  39. 30
  40. 45

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