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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 175 · 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 clockwise through 270°. Which direction do you face now? (a) South (b) North (c) West (d) East
  2. 2.You face South and turn anticlockwise through 90°. 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 8 to 6. How many degrees does it turn?
  4. 4.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  5. 5.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  6. 6.Four angles meet at a point. Three of them are 100°, 100° and 150°. What is the fourth angle (in degrees)?
  7. 7.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) North (c) South (d) West
  8. 8.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  9. 9.An angle measures 265°. What kind of angle is it? (a) Reflex (b) Right (c) Straight
  10. 10.An angle measures 165°. What kind of angle is it? (a) Right (b) Straight (c) Obtuse
  11. 11.The minute hand of a clock turns clockwise from 12 to 11. How many degrees does it turn?
  12. 12.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  13. 13.Three angles together make a straight line. Two of them are 25° and 85°. What is the third angle (in degrees)?
  14. 14.Three angles together make a straight line. Two of them are 55° and 75°. What is the third angle (in degrees)?
  15. 15.Three angles together make a straight line. Two of them are 50° and 60°. What is the third angle (in degrees)?
  16. 16.The minute hand of a clock turns clockwise from 12 to 2. How many degrees does it turn?
  17. 17.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  18. 18.An angle measures 45°. What kind of angle is it? (a) Reflex (b) Right (c) Acute
  19. 19.Four angles meet at a point. Three of them are 60°, 30° and 70°. What is the fourth angle (in degrees)?
  20. 20.You face West and turn clockwise through 90°. Which direction do you face now? (a) West (b) South (c) North (d) East
  21. 21.Three angles together make a straight line. Two of them are 80° and 50°. What is the third angle (in degrees)?
  22. 22.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) South (c) North (d) East
  23. 23.Four angles meet at a point. Three of them are 60°, 60° and 200°. What is the fourth angle (in degrees)?
  24. 24.You face West and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) South (c) East (d) West
  25. 25.Four angles meet at a point. Three of them are 90°, 80° and 40°. What is the fourth angle (in degrees)?
  26. 26.An angle measures 345°. What kind of angle is it? (a) Right (b) Straight (c) Reflex
  27. 27.An angle measures 25°. What kind of angle is it? (a) Obtuse (b) Acute (c) Right
  28. 28.Three angles together make a straight line. Two of them are 65° and 30°. What is the third angle (in degrees)?
  29. 29.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  30. 30.The minute hand of a clock turns clockwise from 3 to 9. How many degrees does it turn?
  31. 31.An angle measures 180°. What kind of angle is it? (a) Right (b) Straight (c) Reflex
  32. 32.Four angles meet at a point. Three of them are 60°, 40° and 210°. What is the fourth angle (in degrees)?
  33. 33.The minute hand of a clock turns clockwise from 9 to 1. How many degrees does it turn?
  34. 34.Three angles together make a straight line. Two of them are 80° and 40°. What is the third angle (in degrees)?
  35. 35.The minute hand of a clock turns clockwise from 2 to 10. How many degrees does it turn?
  36. 36.The minute hand of a clock turns clockwise from 9 to 12. How many degrees does it turn?
  37. 37.Three angles together make a straight line. Two of them are 35° and 50°. What is the third angle (in degrees)?
  38. 38.An angle measures 90°. What kind of angle is it? (a) Right (b) Acute (c) Straight
  39. 39.Three angles together make a straight line. Two of them are 60° and 80°. What is the third angle (in degrees)?
  40. 40.The minute hand of a clock turns clockwise from 12 to 3. How many degrees does it turn?

Answer key

  1. West
  2. East
  3. 300
  4. 20
  5. 60
  6. 10
  7. West
  8. 40
  9. Reflex
  10. Obtuse
  11. 330
  12. 90
  13. 70
  14. 50
  15. 70
  16. 60
  17. 72
  18. Acute
  19. 200
  20. North
  21. 50
  22. East
  23. 40
  24. North
  25. 150
  26. Reflex
  27. Acute
  28. 85
  29. 36
  30. 180
  31. Straight
  32. 50
  33. 120
  34. 60
  35. 240
  36. 90
  37. 95
  38. Right
  39. 40
  40. 90

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