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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 907 · 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 East and turn clockwise through 90°. Which direction do you face now? (a) West (b) South (c) East (d) North
  2. 2.Four angles meet at a point. Three of them are 100°, 70° and 130°. What is the fourth angle (in degrees)?
  3. 3.Three angles together make a straight line. Two of them are 35° and 120°. What is the third angle (in degrees)?
  4. 4.An angle measures 90°. What kind of angle is it? (a) Straight (b) Right (c) Reflex
  5. 5.Four angles meet at a point. Three of them are 80°, 50° and 150°. What is the fourth angle (in degrees)?
  6. 6.Three angles together make a straight line. Two of them are 35° and 130°. What is the third angle (in degrees)?
  7. 7.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  8. 8.Four angles meet at a point. Three of them are 50°, 40° and 90°. What is the fourth angle (in degrees)?
  9. 9.Three angles together make a straight line. Two of them are 95° and 40°. What is the third angle (in degrees)?
  10. 10.An angle measures 75°. What kind of angle is it? (a) Right (b) Acute (c) Reflex
  11. 11.Four angles meet at a point. Three of them are 100°, 80° and 80°. What is the fourth angle (in degrees)?
  12. 12.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) East (b) West (c) North (d) South
  13. 13.Three angles together make a straight line. Two of them are 25° and 75°. What is the third angle (in degrees)?
  14. 14.The minute hand of a clock turns clockwise from 5 to 7. How many degrees does it turn?
  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 235°. What kind of angle is it? (a) Straight (b) Reflex (c) Acute
  17. 17.Three angles together make a straight line. Two of them are 65° and 95°. What is the third angle (in degrees)?
  18. 18.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) South (c) East (d) West
  19. 19.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  20. 20.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) West (c) South (d) East
  21. 21.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  22. 22.Four angles meet at a point. Three of them are 80°, 80° and 150°. What is the fourth angle (in degrees)?
  23. 23.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) North (c) West (d) East
  24. 24.The minute hand of a clock turns clockwise from 10 to 12. How many degrees does it turn?
  25. 25.Three angles together make a straight line. Two of them are 80° and 70°. What is the third angle (in degrees)?
  26. 26.Three angles together make a straight line. Two of them are 60° and 60°. What is the third angle (in degrees)?
  27. 27.The minute hand of a clock turns clockwise from 2 to 6. How many degrees does it turn?
  28. 28.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) South (c) West (d) East
  29. 29.The minute hand of a clock turns clockwise from 5 to 3. How many degrees does it turn?
  30. 30.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  31. 31.An angle measures 45°. What kind of angle is it? (a) Reflex (b) Acute (c) Straight
  32. 32.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  33. 33.Four angles meet at a point. Three of them are 70°, 50° and 70°. What is the fourth angle (in degrees)?
  34. 34.You face North and turn clockwise through 180°. Which direction do you face now? (a) North (b) West (c) South (d) East
  35. 35.An angle measures 180°. What kind of angle is it? (a) Straight (b) Acute (c) Right
  36. 36.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) East (c) South (d) West
  37. 37.Three angles together make a straight line. Two of them are 25° and 60°. What is the third angle (in degrees)?
  38. 38.Three angles together make a straight line. Two of them are 65° and 55°. What is the third angle (in degrees)?
  39. 39.Three angles together make a straight line. Two of them are 20° and 75°. What is the third angle (in degrees)?
  40. 40.Four angles meet at a point. Three of them are 90°, 30° and 120°. What is the fourth angle (in degrees)?

Answer key

  1. South
  2. 60
  3. 25
  4. Right
  5. 80
  6. 15
  7. 20
  8. 180
  9. 45
  10. Acute
  11. 100
  12. West
  13. 80
  14. 60
  15. 95
  16. Reflex
  17. 20
  18. East
  19. 18
  20. South
  21. 36
  22. 50
  23. West
  24. 60
  25. 30
  26. 60
  27. 120
  28. South
  29. 300
  30. 90
  31. Acute
  32. 72
  33. 170
  34. South
  35. Straight
  36. North
  37. 95
  38. 60
  39. 85
  40. 120

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