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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 151 · 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 clockwise through 270°. Which direction do you face now? (a) East (b) North (c) West (d) South
  2. 2.Four angles meet at a point. Three of them are 40°, 90° and 200°. What is the fourth angle (in degrees)?
  3. 3.Three angles together make a straight line. Two of them are 15° and 110°. What is the third angle (in degrees)?
  4. 4.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) North (c) West (d) East
  5. 5.Three angles together make a straight line. Two of them are 85° and 65°. What is the third angle (in degrees)?
  6. 6.The minute hand of a clock turns clockwise from 4 to 9. How many degrees does it turn?
  7. 7.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  8. 8.The minute hand of a clock turns clockwise from 12 to 3. How many degrees does it turn?
  9. 9.An angle measures 90°. What kind of angle is it? (a) Straight (b) Right (c) Reflex
  10. 10.Four angles meet at a point. Three of them are 50°, 40° and 240°. What is the fourth angle (in degrees)?
  11. 11.The minute hand of a clock turns clockwise from 5 to 7. How many degrees does it turn?
  12. 12.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) South (c) North (d) West
  13. 13.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  14. 14.The minute hand of a clock turns clockwise from 5 to 10. How many degrees does it turn?
  15. 15.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  16. 16.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  17. 17.An angle measures 235°. What kind of angle is it? (a) Acute (b) Obtuse (c) Reflex
  18. 18.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) South (c) North (d) West
  19. 19.Four angles meet at a point. Three of them are 50°, 60° and 170°. What is the fourth angle (in degrees)?
  20. 20.Three angles together make a straight line. Two of them are 10° and 155°. What is the third angle (in degrees)?
  21. 21.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  22. 22.The minute hand of a clock turns clockwise from 11 to 8. How many degrees does it turn?
  23. 23.The minute hand of a clock turns clockwise from 1 to 10. How many degrees does it turn?
  24. 24.The minute hand of a clock turns clockwise from 3 to 8. How many degrees does it turn?
  25. 25.You face North and turn clockwise through 180°. Which direction do you face now? (a) East (b) South (c) North (d) West
  26. 26.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  27. 27.The minute hand of a clock turns clockwise from 3 to 5. How many degrees does it turn?
  28. 28.The minute hand of a clock turns clockwise from 11 to 4. How many degrees does it turn?
  29. 29.Three angles together make a straight line. Two of them are 70° and 95°. What is the third angle (in degrees)?
  30. 30.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  31. 31.Three angles together make a straight line. Two of them are 45° and 120°. What is the third angle (in degrees)?
  32. 32.Three angles together make a straight line. Two of them are 25° and 50°. What is the third angle (in degrees)?
  33. 33.The minute hand of a clock turns clockwise from 7 to 8. How many degrees does it turn?
  34. 34.Four angles meet at a point. Three of them are 40°, 50° and 200°. What is the fourth angle (in degrees)?
  35. 35.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) South (c) West (d) East
  36. 36.Three angles together make a straight line. Two of them are 20° and 75°. What is the third angle (in degrees)?
  37. 37.Four angles meet at a point. Three of them are 40°, 60° and 200°. What is the fourth angle (in degrees)?
  38. 38.Three angles together make a straight line. Two of them are 100° and 35°. What is the third angle (in degrees)?
  39. 39.Three angles together make a straight line. Two of them are 10° and 10°. What is the third angle (in degrees)?
  40. 40.Four angles meet at a point. Three of them are 40°, 70° and 210°. What is the fourth angle (in degrees)?

Answer key

  1. West
  2. 30
  3. 55
  4. South
  5. 30
  6. 150
  7. 120
  8. 90
  9. Right
  10. 30
  11. 60
  12. West
  13. 60
  14. 150
  15. 90
  16. 18
  17. Reflex
  18. South
  19. 80
  20. 15
  21. 30
  22. 270
  23. 270
  24. 150
  25. South
  26. 30
  27. 60
  28. 150
  29. 15
  30. 36
  31. 15
  32. 105
  33. 30
  34. 70
  35. East
  36. 85
  37. 60
  38. 45
  39. 160
  40. 40

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