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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 165 · 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.

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  1. 1.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) North (c) East (d) West
  2. 2.Four angles meet at a point. Three of them are 80°, 70° and 200°. What is the fourth angle (in degrees)?
  3. 3.The minute hand of a clock turns clockwise from 4 to 3. How many degrees does it turn?
  4. 4.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) North (c) South (d) West
  5. 5.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  6. 6.Three angles together make a straight line. Two of them are 70° and 60°. What is the third angle (in degrees)?
  7. 7.Three angles together make a straight line. Two of them are 10° and 110°. What is the third angle (in degrees)?
  8. 8.Four angles meet at a point. Three of them are 60°, 90° and 70°. What is the fourth angle (in degrees)?
  9. 9.Three angles together make a straight line. Two of them are 25° and 15°. What is the third angle (in degrees)?
  10. 10.Three angles together make a straight line. Two of them are 95° and 55°. What is the third angle (in degrees)?
  11. 11.You face West and turn clockwise through 90°. Which direction do you face now? (a) West (b) East (c) South (d) North
  12. 12.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  13. 13.Three angles together make a straight line. Two of them are 15° and 65°. What is the third angle (in degrees)?
  14. 14.Three angles together make a straight line. Two of them are 50° and 105°. What is the third angle (in degrees)?
  15. 15.Four angles meet at a point. Three of them are 70°, 90° and 120°. What is the fourth angle (in degrees)?
  16. 16.Three angles together make a straight line. Two of them are 85° and 45°. What is the third angle (in degrees)?
  17. 17.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  18. 18.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  19. 19.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  20. 20.You face North and turn clockwise through 270°. Which direction do you face now? (a) North (b) South (c) East (d) West
  21. 21.Three angles together make a straight line. Two of them are 80° and 65°. What is the third angle (in degrees)?
  22. 22.An angle measures 90°. What kind of angle is it? (a) Right (b) Reflex (c) Obtuse
  23. 23.You face South and turn clockwise through 90°. Which direction do you face now? (a) South (b) West (c) North (d) East
  24. 24.Four angles meet at a point. Three of them are 60°, 90° and 50°. What is the fourth angle (in degrees)?
  25. 25.Four angles meet at a point. Three of them are 40°, 100° and 190°. What is the fourth angle (in degrees)?
  26. 26.Four angles meet at a point. Three of them are 30°, 30° and 90°. What is the fourth angle (in degrees)?
  27. 27.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) South (c) East (d) North
  28. 28.Three angles together make a straight line. Two of them are 45° and 15°. What is the third angle (in degrees)?
  29. 29.Four angles meet at a point. Three of them are 100°, 40° and 170°. What is the fourth angle (in degrees)?
  30. 30.An angle measures 355°. What kind of angle is it? (a) Acute (b) Straight (c) Reflex
  31. 31.Four angles meet at a point. Three of them are 90°, 50° and 140°. What is the fourth angle (in degrees)?
  32. 32.Three angles together make a straight line. Two of them are 30° and 65°. What is the third angle (in degrees)?
  33. 33.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  34. 34.Four angles meet at a point. Three of them are 70°, 100° and 180°. What is the fourth angle (in degrees)?
  35. 35.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) North (c) East (d) West
  36. 36.The minute hand of a clock turns clockwise from 6 to 7. How many degrees does it turn?
  37. 37.Three angles together make a straight line. Two of them are 55° and 55°. What is the third angle (in degrees)?
  38. 38.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  39. 39.An angle measures 180°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Straight
  40. 40.Three angles together make a straight line. Two of them are 20° and 50°. What is the third angle (in degrees)?

Answer key

  1. East
  2. 10
  3. 330
  4. West
  5. 30
  6. 50
  7. 60
  8. 140
  9. 140
  10. 30
  11. North
  12. 30
  13. 100
  14. 25
  15. 80
  16. 50
  17. 20
  18. 90
  19. 40
  20. West
  21. 35
  22. Right
  23. West
  24. 160
  25. 30
  26. 210
  27. South
  28. 120
  29. 50
  30. Reflex
  31. 80
  32. 85
  33. 60
  34. 10
  35. South
  36. 30
  37. 70
  38. 60
  39. Straight
  40. 110

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