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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 126 · 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 anticlockwise 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 15° and 130°. What is the third angle (in degrees)?
  3. 3.An angle measures 350°. What kind of angle is it? (a) Acute (b) Straight (c) Reflex
  4. 4.You face West and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) West (c) North (d) South
  5. 5.You face South and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) West (c) North (d) East
  6. 6.Three angles together make a straight line. Two of them are 75° and 30°. What is the third angle (in degrees)?
  7. 7.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) East (c) North (d) West
  8. 8.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  9. 9.You face South and turn clockwise through 270°. Which direction do you face now? (a) West (b) East (c) North (d) South
  10. 10.An angle measures 55°. What kind of angle is it? (a) Right (b) Reflex (c) Acute
  11. 11.Four angles meet at a point. Three of them are 80°, 60° and 110°. What is the fourth angle (in degrees)?
  12. 12.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  13. 13.Three angles together make a straight line. Two of them are 20° and 90°. What is the third angle (in degrees)?
  14. 14.The minute hand of a clock turns clockwise from 9 to 5. How many degrees does it turn?
  15. 15.Four angles meet at a point. Three of them are 40°, 50° and 210°. What is the fourth angle (in degrees)?
  16. 16.You face East and turn clockwise through 90°. Which direction do you face now? (a) West (b) East (c) South (d) North
  17. 17.An angle measures 140°. What kind of angle is it? (a) Acute (b) Obtuse (c) Reflex
  18. 18.The minute hand of a clock turns clockwise from 4 to 9. How many degrees does it turn?
  19. 19.The minute hand of a clock turns clockwise from 11 to 7. How many degrees does it turn?
  20. 20.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  21. 21.Three angles together make a straight line. Two of them are 75° and 65°. What is the third angle (in degrees)?
  22. 22.An angle measures 165°. What kind of angle is it? (a) Obtuse (b) Acute (c) Reflex
  23. 23.Three angles together make a straight line. Two of them are 55° and 70°. What is the third angle (in degrees)?
  24. 24.Three angles together make a straight line. Two of them are 55° and 60°. What is the third angle (in degrees)?
  25. 25.Four angles meet at a point. Three of them are 60°, 80° and 40°. What is the fourth angle (in degrees)?
  26. 26.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  27. 27.Three angles together make a straight line. Two of them are 95° and 20°. What is the third angle (in degrees)?
  28. 28.Four angles meet at a point. Three of them are 90°, 50° and 130°. What is the fourth angle (in degrees)?
  29. 29.The minute hand of a clock turns clockwise from 10 to 2. How many degrees does it turn?
  30. 30.Three angles together make a straight line. Two of them are 55° and 75°. What is the third angle (in degrees)?
  31. 31.An angle measures 115°. What kind of angle is it? (a) Acute (b) Reflex (c) Obtuse
  32. 32.An angle measures 180°. What kind of angle is it? (a) Acute (b) Reflex (c) Straight
  33. 33.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) North (b) South (c) East (d) West
  34. 34.An angle measures 175°. What kind of angle is it? (a) Straight (b) Obtuse (c) Right
  35. 35.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  36. 36.The minute hand of a clock turns clockwise from 1 to 4. How many degrees does it turn?
  37. 37.Three angles together make a straight line. Two of them are 60° and 60°. What is the third angle (in degrees)?
  38. 38.The minute hand of a clock turns clockwise from 2 to 1. How many degrees does it turn?
  39. 39.The minute hand of a clock turns clockwise from 12 to 11. How many degrees does it turn?
  40. 40.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?

Answer key

  1. North
  2. 35
  3. Reflex
  4. North
  5. North
  6. 75
  7. West
  8. 90
  9. East
  10. Acute
  11. 110
  12. 72
  13. 70
  14. 240
  15. 60
  16. South
  17. Obtuse
  18. 150
  19. 240
  20. 20
  21. 40
  22. Obtuse
  23. 55
  24. 65
  25. 180
  26. 120
  27. 65
  28. 90
  29. 120
  30. 50
  31. Obtuse
  32. Straight
  33. South
  34. Obtuse
  35. 60
  36. 90
  37. 60
  38. 330
  39. 330
  40. 30

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