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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 272 · 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°, 30° and 90°. What is the fourth angle (in degrees)?
  2. 2.Three angles together make a straight line. Two of them are 100° and 35°. What is the third angle (in degrees)?
  3. 3.An angle measures 90°. What kind of angle is it? (a) Obtuse (b) Right (c) Reflex
  4. 4.The minute hand of a clock turns clockwise from 6 to 9. How many degrees does it turn?
  5. 5.Three angles together make a straight line. Two of them are 35° and 10°. What is the third angle (in degrees)?
  6. 6.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) East (c) North (d) South
  7. 7.The minute hand of a clock turns clockwise from 9 to 2. How many degrees does it turn?
  8. 8.An angle measures 20°. What kind of angle is it? (a) Right (b) Reflex (c) Acute
  9. 9.The minute hand of a clock turns clockwise from 8 to 9. How many degrees does it turn?
  10. 10.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) West (c) East (d) South
  11. 11.The minute hand of a clock turns clockwise from 12 to 2. How many degrees does it turn?
  12. 12.The minute hand of a clock turns clockwise from 7 to 6. How many degrees does it turn?
  13. 13.Four angles meet at a point. Three of them are 50°, 100° and 120°. What is the fourth angle (in degrees)?
  14. 14.The minute hand of a clock turns clockwise from 9 to 12. How many degrees does it turn?
  15. 15.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) West (c) North (d) East
  16. 16.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  17. 17.The minute hand of a clock turns clockwise from 8 to 6. How many degrees does it turn?
  18. 18.Three angles together make a straight line. Two of them are 95° and 25°. What is the third angle (in degrees)?
  19. 19.Three angles together make a straight line. Two of them are 50° and 25°. What is the third angle (in degrees)?
  20. 20.The minute hand of a clock turns clockwise from 3 to 8. How many degrees does it turn?
  21. 21.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) North (b) West (c) South (d) East
  22. 22.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  23. 23.Three angles together make a straight line. Two of them are 80° and 45°. What is the third angle (in degrees)?
  24. 24.An angle measures 320°. What kind of angle is it? (a) Straight (b) Acute (c) Reflex
  25. 25.You face East and turn clockwise through 90°. Which direction do you face now? (a) East (b) South (c) West (d) North
  26. 26.Four angles meet at a point. Three of them are 80°, 40° and 40°. What is the fourth angle (in degrees)?
  27. 27.The minute hand of a clock turns clockwise from 12 to 7. How many degrees does it turn?
  28. 28.The minute hand of a clock turns clockwise from 3 to 2. How many degrees does it turn?
  29. 29.You face South and turn clockwise through 270°. Which direction do you face now? (a) West (b) North (c) South (d) East
  30. 30.You face South and turn clockwise through 90°. Which direction do you face now? (a) South (b) West (c) East (d) North
  31. 31.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  32. 32.The minute hand of a clock turns clockwise from 7 to 11. How many degrees does it turn?
  33. 33.An angle measures 350°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Acute
  34. 34.Four angles meet at a point. Three of them are 70°, 40° and 210°. What is the fourth angle (in degrees)?
  35. 35.Four angles meet at a point. Three of them are 90°, 60° and 30°. What is the fourth angle (in degrees)?
  36. 36.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  37. 37.The minute hand of a clock turns clockwise from 5 to 7. How many degrees does it turn?
  38. 38.Three angles together make a straight line. Two of them are 10° and 155°. What is the third angle (in degrees)?
  39. 39.The minute hand of a clock turns clockwise from 4 to 11. How many degrees does it turn?
  40. 40.Four angles meet at a point. Three of them are 90°, 60° and 90°. What is the fourth angle (in degrees)?

Answer key

  1. 210
  2. 45
  3. Right
  4. 90
  5. 135
  6. West
  7. 150
  8. Acute
  9. 30
  10. East
  11. 60
  12. 330
  13. 90
  14. 90
  15. North
  16. 90
  17. 300
  18. 60
  19. 105
  20. 150
  21. South
  22. 40
  23. 55
  24. Reflex
  25. South
  26. 200
  27. 210
  28. 330
  29. East
  30. West
  31. 45
  32. 120
  33. Reflex
  34. 40
  35. 180
  36. 20
  37. 60
  38. 15
  39. 210
  40. 120

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