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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 902 · 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 100°, 90° and 80°. What is the fourth angle (in degrees)?
  2. 2.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) East (b) South (c) West (d) North
  3. 3.The minute hand of a clock turns clockwise from 7 to 2. How many degrees does it turn?
  4. 4.An angle measures 90°. What kind of angle is it? (a) Right (b) Straight (c) Obtuse
  5. 5.The minute hand of a clock turns clockwise from 1 to 9. How many degrees does it turn?
  6. 6.Three angles together make a straight line. Two of them are 25° and 60°. What is the third angle (in degrees)?
  7. 7.You face West and turn clockwise through 90°. Which direction do you face now? (a) West (b) South (c) North (d) East
  8. 8.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) East (c) West (d) North
  9. 9.Four angles meet at a point. Three of them are 70°, 30° and 210°. What is the fourth angle (in degrees)?
  10. 10.You face North and turn clockwise through 270°. Which direction do you face now? (a) North (b) West (c) East (d) South
  11. 11.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) West (c) East (d) South
  12. 12.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  13. 13.An angle measures 310°. What kind of angle is it? (a) Obtuse (b) Right (c) Reflex
  14. 14.The minute hand of a clock turns clockwise from 5 to 1. How many degrees does it turn?
  15. 15.An angle measures 165°. What kind of angle is it? (a) Reflex (b) Straight (c) Obtuse
  16. 16.Three angles together make a straight line. Two of them are 25° and 105°. What is the third angle (in degrees)?
  17. 17.Three angles together make a straight line. Two of them are 70° and 10°. What is the third angle (in degrees)?
  18. 18.An angle measures 265°. What kind of angle is it? (a) Reflex (b) Right (c) Acute
  19. 19.You face West and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) East (c) South (d) West
  20. 20.You face West and turn anticlockwise through 180°. Which direction do you face now? (a) East (b) North (c) West (d) South
  21. 21.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  22. 22.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  23. 23.Four angles meet at a point. Three of them are 60°, 30° and 230°. What is the fourth angle (in degrees)?
  24. 24.An angle measures 35°. What kind of angle is it? (a) Right (b) Obtuse (c) Acute
  25. 25.The minute hand of a clock turns clockwise from 12 to 1. How many degrees does it turn?
  26. 26.You face East and turn clockwise through 270°. Which direction do you face now? (a) South (b) North (c) West (d) East
  27. 27.The minute hand of a clock turns clockwise from 10 to 3. How many degrees does it turn?
  28. 28.Four angles meet at a point. Three of them are 40°, 70° and 130°. What is the fourth angle (in degrees)?
  29. 29.Three angles together make a straight line. Two of them are 95° and 10°. What is the third angle (in degrees)?
  30. 30.An angle measures 180°. What kind of angle is it? (a) Acute (b) Straight (c) Obtuse
  31. 31.You face East and turn clockwise through 90°. Which direction do you face now? (a) West (b) South (c) North (d) East
  32. 32.Three angles together make a straight line. Two of them are 65° and 80°. What is the third angle (in degrees)?
  33. 33.Three angles together make a straight line. Two of them are 20° and 110°. What is the third angle (in degrees)?
  34. 34.Three angles together make a straight line. Two of them are 15° and 120°. What is the third angle (in degrees)?
  35. 35.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  36. 36.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  37. 37.Four angles meet at a point. Three of them are 70°, 60° and 50°. What is the fourth angle (in degrees)?
  38. 38.Three angles together make a straight line. Two of them are 70° and 40°. What is the third angle (in degrees)?
  39. 39.Three angles together make a straight line. Two of them are 95° and 15°. What is the third angle (in degrees)?
  40. 40.Three angles together make a straight line. Two of them are 45° and 95°. What is the third angle (in degrees)?

Answer key

  1. 90
  2. West
  3. 210
  4. Right
  5. 240
  6. 95
  7. North
  8. South
  9. 50
  10. West
  11. East
  12. 30
  13. Reflex
  14. 240
  15. Obtuse
  16. 50
  17. 100
  18. Reflex
  19. North
  20. East
  21. 90
  22. 36
  23. 40
  24. Acute
  25. 30
  26. North
  27. 150
  28. 120
  29. 75
  30. Straight
  31. South
  32. 35
  33. 50
  34. 45
  35. 20
  36. 30
  37. 180
  38. 70
  39. 70
  40. 40

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