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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 991 · 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) East (b) North (c) South (d) West
  2. 2.Three angles together make a straight line. Two of them are 95° and 75°. What is the third angle (in degrees)?
  3. 3.Three angles together make a straight line. Two of them are 75° and 30°. What is the third angle (in degrees)?
  4. 4.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  5. 5.An angle measures 310°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Acute
  6. 6.Three angles together make a straight line. Two of them are 50° and 70°. What is the third angle (in degrees)?
  7. 7.Three angles together make a straight line. Two of them are 50° and 15°. What is the third angle (in degrees)?
  8. 8.The minute hand of a clock turns clockwise from 5 to 8. How many degrees does it turn?
  9. 9.Four angles meet at a point. Three of them are 80°, 60° and 110°. What is the fourth angle (in degrees)?
  10. 10.Four angles meet at a point. Three of them are 90°, 50° and 120°. What is the fourth angle (in degrees)?
  11. 11.The minute hand of a clock turns clockwise from 9 to 8. How many degrees does it turn?
  12. 12.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  13. 13.The minute hand of a clock turns clockwise from 10 to 4. How many degrees does it turn?
  14. 14.You face West and turn clockwise through 90°. Which direction do you face now? (a) East (b) North (c) South (d) West
  15. 15.An angle measures 65°. What kind of angle is it? (a) Obtuse (b) Straight (c) Acute
  16. 16.Four angles meet at a point. Three of them are 50°, 40° and 30°. What is the fourth angle (in degrees)?
  17. 17.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) East (c) South (d) North
  18. 18.Three angles together make a straight line. Two of them are 50° and 20°. What is the third angle (in degrees)?
  19. 19.Four angles meet at a point. Three of them are 70°, 80° and 130°. What is the fourth angle (in degrees)?
  20. 20.Four angles meet at a point. Three of them are 40°, 50° and 230°. What is the fourth angle (in degrees)?
  21. 21.An angle measures 235°. What kind of angle is it? (a) Right (b) Straight (c) Reflex
  22. 22.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  23. 23.Four angles meet at a point. Three of them are 30°, 80° and 90°. What is the fourth angle (in degrees)?
  24. 24.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  25. 25.An angle measures 320°. What kind of angle is it? (a) Right (b) Acute (c) Reflex
  26. 26.The minute hand of a clock turns clockwise from 8 to 5. How many degrees does it turn?
  27. 27.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  28. 28.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) South (c) North (d) East
  29. 29.An angle measures 60°. What kind of angle is it? (a) Straight (b) Acute (c) Right
  30. 30.Three angles together make a straight line. Two of them are 85° and 80°. What is the third angle (in degrees)?
  31. 31.The minute hand of a clock turns clockwise from 4 to 3. How many degrees does it turn?
  32. 32.Three angles together make a straight line. Two of them are 75° and 40°. What is the third angle (in degrees)?
  33. 33.The minute hand of a clock turns clockwise from 6 to 4. How many degrees does it turn?
  34. 34.Four angles meet at a point. Three of them are 100°, 70° and 70°. What is the fourth angle (in degrees)?
  35. 35.Four angles meet at a point. Three of them are 80°, 40° and 200°. What is the fourth angle (in degrees)?
  36. 36.The minute hand of a clock turns clockwise from 12 to 3. How many degrees does it turn?
  37. 37.Four angles meet at a point. Three of them are 80°, 30° and 190°. What is the fourth angle (in degrees)?
  38. 38.You face South and turn clockwise through 270°. Which direction do you face now? (a) East (b) West (c) North (d) South
  39. 39.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  40. 40.Four angles meet at a point. Three of them are 50°, 70° and 110°. What is the fourth angle (in degrees)?

Answer key

  1. South
  2. 10
  3. 75
  4. 36
  5. Reflex
  6. 60
  7. 115
  8. 90
  9. 110
  10. 100
  11. 330
  12. 45
  13. 180
  14. North
  15. Acute
  16. 240
  17. South
  18. 110
  19. 80
  20. 40
  21. Reflex
  22. 20
  23. 160
  24. 120
  25. Reflex
  26. 270
  27. 60
  28. South
  29. Acute
  30. 15
  31. 330
  32. 65
  33. 300
  34. 120
  35. 40
  36. 90
  37. 60
  38. East
  39. 36
  40. 130

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