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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 626 · 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.Four angles meet at a point. Three of them are 30°, 40° and 50°. What is the fourth angle (in degrees)?
  2. 2.Four angles meet at a point. Three of them are 80°, 80° and 130°. What is the fourth angle (in degrees)?
  3. 3.Four angles meet at a point. Three of them are 40°, 50° and 130°. What is the fourth angle (in degrees)?
  4. 4.The minute hand of a clock turns clockwise from 12 to 1. How many degrees does it turn?
  5. 5.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) North (c) West (d) East
  6. 6.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  7. 7.You face East and turn clockwise through 90°. Which direction do you face now? (a) South (b) West (c) East (d) North
  8. 8.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  9. 9.You face West and turn clockwise through 90°. Which direction do you face now? (a) South (b) North (c) East (d) West
  10. 10.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  11. 11.Four angles meet at a point. Three of them are 80°, 40° and 90°. What is the fourth angle (in degrees)?
  12. 12.The minute hand of a clock turns clockwise from 5 to 6. How many degrees does it turn?
  13. 13.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  14. 14.Four angles meet at a point. Three of them are 100°, 50° and 200°. What is the fourth angle (in degrees)?
  15. 15.Three angles together make a straight line. Two of them are 40° and 45°. What is the third angle (in degrees)?
  16. 16.An angle measures 255°. What kind of angle is it? (a) Reflex (b) Straight (c) Acute
  17. 17.Three angles together make a straight line. Two of them are 20° and 65°. What is the third angle (in degrees)?
  18. 18.You face West and turn clockwise through 180°. Which direction do you face now? (a) West (b) North (c) East (d) South
  19. 19.You face West and turn anticlockwise through 180°. Which direction do you face now? (a) North (b) West (c) South (d) East
  20. 20.The minute hand of a clock turns clockwise from 2 to 11. How many degrees does it turn?
  21. 21.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) South (c) North (d) East
  22. 22.An angle measures 180°. What kind of angle is it? (a) Right (b) Straight (c) Obtuse
  23. 23.An angle measures 80°. What kind of angle is it? (a) Straight (b) Right (c) Acute
  24. 24.The minute hand of a clock turns clockwise from 4 to 9. How many degrees does it turn?
  25. 25.Four angles meet at a point. Three of them are 30°, 90° and 50°. What is the fourth angle (in degrees)?
  26. 26.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) North (c) South (d) West
  27. 27.Three angles together make a straight line. Two of them are 35° and 25°. What is the third angle (in degrees)?
  28. 28.Four angles meet at a point. Three of them are 60°, 70° and 150°. What is the fourth angle (in degrees)?
  29. 29.Four angles meet at a point. Three of them are 70°, 40° and 160°. What is the fourth angle (in degrees)?
  30. 30.You face West and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) West (c) North (d) East
  31. 31.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  32. 32.The minute hand of a clock turns clockwise from 10 to 12. How many degrees does it turn?
  33. 33.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  34. 34.Four angles meet at a point. Three of them are 100°, 70° and 90°. What is the fourth angle (in degrees)?
  35. 35.An angle measures 25°. What kind of angle is it? (a) Obtuse (b) Straight (c) Acute
  36. 36.Four angles meet at a point. Three of them are 60°, 100° and 90°. What is the fourth angle (in degrees)?
  37. 37.The minute hand of a clock turns clockwise from 11 to 1. How many degrees does it turn?
  38. 38.Three angles together make a straight line. Two of them are 55° and 100°. What is the third angle (in degrees)?
  39. 39.Three angles together make a straight line. Two of them are 80° and 25°. What is the third angle (in degrees)?
  40. 40.You face North and turn clockwise through 180°. Which direction do you face now? (a) North (b) West (c) South (d) East

Answer key

  1. 240
  2. 70
  3. 140
  4. 30
  5. East
  6. 18
  7. South
  8. 60
  9. North
  10. 60
  11. 150
  12. 30
  13. 72
  14. 10
  15. 95
  16. Reflex
  17. 95
  18. East
  19. East
  20. 270
  21. South
  22. Straight
  23. Acute
  24. 150
  25. 190
  26. West
  27. 120
  28. 80
  29. 90
  30. North
  31. 90
  32. 60
  33. 15
  34. 100
  35. Acute
  36. 110
  37. 60
  38. 25
  39. 75
  40. South

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