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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 583 · 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 anticlockwise through 90°. Which direction do you face now? (a) South (b) East (c) North (d) West
  2. 2.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  3. 3.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  4. 4.Four angles meet at a point. Three of them are 100°, 50° and 110°. What is the fourth angle (in degrees)?
  5. 5.An angle measures 220°. What kind of angle is it? (a) Reflex (b) Acute (c) Right
  6. 6.An angle measures 90°. What kind of angle is it? (a) Reflex (b) Right (c) Obtuse
  7. 7.Three angles together make a straight line. Two of them are 20° and 35°. What is the third angle (in degrees)?
  8. 8.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  9. 9.Four angles meet at a point. Three of them are 30°, 50° and 190°. What is the fourth angle (in degrees)?
  10. 10.An angle measures 80°. What kind of angle is it? (a) Right (b) Reflex (c) Acute
  11. 11.The minute hand of a clock turns clockwise from 7 to 11. How many degrees does it turn?
  12. 12.Three angles together make a straight line. Two of them are 100° and 50°. What is the third angle (in degrees)?
  13. 13.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  14. 14.The minute hand of a clock turns clockwise from 11 to 6. How many degrees does it turn?
  15. 15.You face West and turn clockwise through 90°. Which direction do you face now? (a) East (b) North (c) West (d) South
  16. 16.The minute hand of a clock turns clockwise from 7 to 9. How many degrees does it turn?
  17. 17.The minute hand of a clock turns clockwise from 12 to 7. How many degrees does it turn?
  18. 18.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  19. 19.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  20. 20.An angle measures 20°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Acute
  21. 21.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) North (c) East (d) West
  22. 22.Three angles together make a straight line. Two of them are 65° and 30°. What is the third angle (in degrees)?
  23. 23.The minute hand of a clock turns clockwise from 5 to 1. How many degrees does it turn?
  24. 24.The minute hand of a clock turns clockwise from 2 to 6. How many degrees does it turn?
  25. 25.Three angles together make a straight line. Two of them are 40° and 75°. What is the third angle (in degrees)?
  26. 26.Four angles meet at a point. Three of them are 50°, 90° and 150°. What is the fourth angle (in degrees)?
  27. 27.Three angles together make a straight line. Two of them are 60° and 30°. What is the third angle (in degrees)?
  28. 28.The minute hand of a clock turns clockwise from 7 to 2. How many degrees does it turn?
  29. 29.Four angles meet at a point. Three of them are 90°, 90° and 50°. What is the fourth angle (in degrees)?
  30. 30.You face West and turn clockwise through 270°. Which direction do you face now? (a) South (b) East (c) North (d) West
  31. 31.An angle measures 105°. What kind of angle is it? (a) Reflex (b) Right (c) Obtuse
  32. 32.Three angles together make a straight line. Two of them are 15° and 135°. What is the third angle (in degrees)?
  33. 33.You face North and turn clockwise through 90°. Which direction do you face now? (a) West (b) North (c) South (d) East
  34. 34.Four angles meet at a point. Three of them are 70°, 50° and 110°. What is the fourth angle (in degrees)?
  35. 35.You face West and turn anticlockwise through 180°. 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 15° and 15°. What is the third angle (in degrees)?
  37. 37.Four angles meet at a point. Three of them are 90°, 50° and 50°. What is the fourth 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 2 to 10. How many degrees does it turn?
  40. 40.The minute hand of a clock turns clockwise from 6 to 2. How many degrees does it turn?

Answer key

  1. West
  2. 18
  3. 60
  4. 100
  5. Reflex
  6. Right
  7. 125
  8. 72
  9. 90
  10. Acute
  11. 120
  12. 30
  13. 36
  14. 210
  15. North
  16. 60
  17. 210
  18. 60
  19. 20
  20. Acute
  21. West
  22. 85
  23. 240
  24. 120
  25. 65
  26. 70
  27. 90
  28. 210
  29. 130
  30. South
  31. Obtuse
  32. 30
  33. East
  34. 130
  35. East
  36. 150
  37. 170
  38. 90
  39. 240
  40. 240

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