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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 718 · 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.Three angles together make a straight line. Two of them are 25° and 115°. What is the third angle (in degrees)?
  3. 3.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  4. 4.Three angles together make a straight line. Two of them are 10° and 105°. What is the third angle (in degrees)?
  5. 5.Three angles together make a straight line. Two of them are 25° and 140°. What is the third angle (in degrees)?
  6. 6.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  7. 7.An angle measures 335°. What kind of angle is it? (a) Obtuse (b) Straight (c) Reflex
  8. 8.An angle measures 90°. What kind of angle is it? (a) Reflex (b) Right (c) Acute
  9. 9.Three angles together make a straight line. Two of them are 35° and 100°. What is the third angle (in degrees)?
  10. 10.Four angles meet at a point. Three of them are 80°, 40° and 210°. What is the fourth angle (in degrees)?
  11. 11.The minute hand of a clock turns clockwise from 12 to 2. How many degrees does it turn?
  12. 12.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  13. 13.The minute hand of a clock turns clockwise from 12 to 4. How many degrees does it turn?
  14. 14.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) South (c) East (d) North
  15. 15.You face North and turn clockwise through 270°. Which direction do you face now? (a) South (b) East (c) West (d) North
  16. 16.Four angles meet at a point. Three of them are 30°, 90° and 90°. What is the fourth angle (in degrees)?
  17. 17.Three angles together make a straight line. Two of them are 70° and 50°. What is the third angle (in degrees)?
  18. 18.Three angles together make a straight line. Two of them are 95° and 75°. What is the third angle (in degrees)?
  19. 19.Four angles meet at a point. Three of them are 30°, 40° and 240°. What is the fourth angle (in degrees)?
  20. 20.You face West and turn clockwise through 90°. Which direction do you face now? (a) South (b) East (c) West (d) North
  21. 21.The minute hand of a clock turns clockwise from 1 to 12. How many degrees does it turn?
  22. 22.An angle measures 165°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Right
  23. 23.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) West (c) North (d) East
  24. 24.The minute hand of a clock turns clockwise from 10 to 11. How many degrees does it turn?
  25. 25.Three angles together make a straight line. Two of them are 20° and 95°. What is the third angle (in degrees)?
  26. 26.The minute hand of a clock turns clockwise from 11 to 6. How many degrees does it turn?
  27. 27.The minute hand of a clock turns clockwise from 12 to 11. How many degrees does it turn?
  28. 28.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  29. 29.You face West and turn clockwise through 180°. Which direction do you face now? (a) West (b) South (c) East (d) North
  30. 30.An angle measures 20°. What kind of angle is it? (a) Right (b) Acute (c) Obtuse
  31. 31.Four angles meet at a point. Three of them are 80°, 40° and 50°. What is the fourth angle (in degrees)?
  32. 32.An angle measures 140°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Acute
  33. 33.An angle measures 180°. What kind of angle is it? (a) Acute (b) Straight (c) Obtuse
  34. 34.Three angles together make a straight line. Two of them are 55° and 105°. What is the third angle (in degrees)?
  35. 35.The minute hand of a clock turns clockwise from 12 to 1. How many degrees does it turn?
  36. 36.The minute hand of a clock turns clockwise from 1 to 7. How many degrees does it turn?
  37. 37.The minute hand of a clock turns clockwise from 9 to 3. How many degrees does it turn?
  38. 38.Three angles together make a straight line. Two of them are 70° and 85°. What is the third angle (in degrees)?
  39. 39.Four angles meet at a point. Three of them are 50°, 30° and 260°. What is the fourth angle (in degrees)?
  40. 40.An angle measures 35°. What kind of angle is it? (a) Reflex (b) Acute (c) Obtuse

Answer key

  1. 30
  2. 40
  3. 20
  4. 65
  5. 15
  6. 60
  7. Reflex
  8. Right
  9. 45
  10. 30
  11. 60
  12. 72
  13. 120
  14. East
  15. West
  16. 150
  17. 60
  18. 10
  19. 50
  20. North
  21. 330
  22. Obtuse
  23. West
  24. 30
  25. 65
  26. 210
  27. 330
  28. 90
  29. East
  30. Acute
  31. 190
  32. Obtuse
  33. Straight
  34. 20
  35. 30
  36. 180
  37. 180
  38. 25
  39. 20
  40. Acute

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