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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 574 · 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 West and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) South (c) East (d) North
  2. 2.An angle measures 355°. What kind of angle is it? (a) Right (b) Straight (c) Reflex
  3. 3.Four angles meet at a point. Three of them are 40°, 50° and 70°. What is the fourth angle (in degrees)?
  4. 4.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  5. 5.Three angles together make a straight line. Two of them are 25° and 75°. What is the third angle (in degrees)?
  6. 6.Three angles together make a straight line. Two of them are 75° and 25°. What is the third angle (in degrees)?
  7. 7.The minute hand of a clock turns clockwise from 8 to 6. How many degrees does it turn?
  8. 8.Four angles meet at a point. Three of them are 70°, 60° and 220°. What is the fourth angle (in degrees)?
  9. 9.You face West and turn clockwise through 180°. Which direction do you face now? (a) West (b) South (c) East (d) North
  10. 10.Three angles together make a straight line. Two of them are 100° and 55°. What is the third angle (in degrees)?
  11. 11.Three angles together make a straight line. Two of them are 80° and 15°. What is the third angle (in degrees)?
  12. 12.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  13. 13.Four angles meet at a point. Three of them are 80°, 70° and 40°. What is the fourth angle (in degrees)?
  14. 14.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  15. 15.You face East and turn clockwise through 270°. Which direction do you face now? (a) East (b) South (c) North (d) West
  16. 16.The minute hand of a clock turns clockwise from 2 to 6. How many degrees does it turn?
  17. 17.Three angles together make a straight line. Two of them are 70° and 25°. What is the third angle (in degrees)?
  18. 18.You face North and turn clockwise through 90°. Which direction do you face now? (a) North (b) South (c) East (d) West
  19. 19.Three angles together make a straight line. Two of them are 100° and 10°. What is the third angle (in degrees)?
  20. 20.Four angles meet at a point. Three of them are 50°, 60° and 170°. What is the fourth angle (in degrees)?
  21. 21.Three angles together make a straight line. Two of them are 10° and 25°. What is the third angle (in degrees)?
  22. 22.The minute hand of a clock turns clockwise from 12 to 4. How many degrees does it turn?
  23. 23.Four angles meet at a point. Three of them are 40°, 90° and 110°. What is the fourth angle (in degrees)?
  24. 24.Three angles together make a straight line. Two of them are 85° and 80°. What is the third angle (in degrees)?
  25. 25.The minute hand of a clock turns clockwise from 1 to 10. How many degrees does it turn?
  26. 26.Three angles together make a straight line. Two of them are 95° and 60°. What is the third angle (in degrees)?
  27. 27.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  28. 28.The minute hand of a clock turns clockwise from 4 to 3. How many degrees does it turn?
  29. 29.Three angles together make a straight line. Two of them are 15° and 55°. What is the third angle (in degrees)?
  30. 30.Three angles together make a straight line. Two of them are 85° and 50°. What is the third angle (in degrees)?
  31. 31.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  32. 32.An angle measures 30°. What kind of angle is it? (a) Right (b) Straight (c) Acute
  33. 33.You face South and turn clockwise through 270°. Which direction do you face now? (a) North (b) South (c) West (d) East
  34. 34.An angle measures 215°. What kind of angle is it? (a) Straight (b) Acute (c) Reflex
  35. 35.The minute hand of a clock turns clockwise from 2 to 9. How many degrees does it turn?
  36. 36.Three angles together make a straight line. Two of them are 80° and 10°. What is the third angle (in degrees)?
  37. 37.Three angles together make a straight line. Two of them are 25° and 70°. What is the third angle (in degrees)?
  38. 38.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  39. 39.The minute hand of a clock turns clockwise from 7 to 12. How many degrees does it turn?
  40. 40.Four angles meet at a point. Three of them are 70°, 50° and 130°. What is the fourth angle (in degrees)?

Answer key

  1. South
  2. Reflex
  3. 200
  4. 15
  5. 80
  6. 80
  7. 300
  8. 10
  9. East
  10. 25
  11. 85
  12. 72
  13. 170
  14. 20
  15. North
  16. 120
  17. 85
  18. East
  19. 70
  20. 80
  21. 145
  22. 120
  23. 120
  24. 15
  25. 270
  26. 25
  27. 120
  28. 330
  29. 110
  30. 45
  31. 45
  32. Acute
  33. East
  34. Reflex
  35. 210
  36. 90
  37. 85
  38. 90
  39. 150
  40. 110

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