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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 848 · 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.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  2. 2.You face East and turn clockwise through 180°. Which direction do you face now? (a) East (b) North (c) South (d) West
  3. 3.Three angles together make a straight line. Two of them are 15° and 65°. What is the third angle (in degrees)?
  4. 4.The minute hand of a clock turns clockwise from 6 to 4. How many degrees does it turn?
  5. 5.The minute hand of a clock turns clockwise from 11 to 1. How many degrees does it turn?
  6. 6.The minute hand of a clock turns clockwise from 8 to 2. How many degrees does it turn?
  7. 7.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) East (c) West (d) South
  8. 8.Four angles meet at a point. Three of them are 90°, 40° and 50°. What is the fourth angle (in degrees)?
  9. 9.The minute hand of a clock turns clockwise from 12 to 11. How many degrees does it turn?
  10. 10.The minute hand of a clock turns clockwise from 9 to 11. How many degrees does it turn?
  11. 11.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) North (c) West (d) South
  12. 12.Four angles meet at a point. Three of them are 40°, 60° and 150°. What is the fourth angle (in degrees)?
  13. 13.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  14. 14.The minute hand of a clock turns clockwise from 10 to 3. How many degrees does it turn?
  15. 15.You face North and turn clockwise through 270°. Which direction do you face now? (a) West (b) South (c) East (d) North
  16. 16.Four angles meet at a point. Three of them are 60°, 80° and 90°. What is the fourth angle (in degrees)?
  17. 17.An angle measures 20°. What kind of angle is it? (a) Right (b) Straight (c) Acute
  18. 18.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  19. 19.The minute hand of a clock turns clockwise from 6 to 8. How many degrees does it turn?
  20. 20.An angle measures 165°. What kind of angle is it? (a) Acute (b) Obtuse (c) Reflex
  21. 21.The minute hand of a clock turns clockwise from 5 to 8. How many degrees does it turn?
  22. 22.The minute hand of a clock turns clockwise from 4 to 12. How many degrees does it turn?
  23. 23.An angle measures 160°. What kind of angle is it? (a) Acute (b) Obtuse (c) Right
  24. 24.An angle measures 180°. What kind of angle is it? (a) Right (b) Obtuse (c) Straight
  25. 25.You face West and turn clockwise through 180°. Which direction do you face now? (a) North (b) West (c) East (d) South
  26. 26.The minute hand of a clock turns clockwise from 6 to 12. How many degrees does it turn?
  27. 27.Three angles together make a straight line. Two of them are 80° and 85°. What is the third angle (in degrees)?
  28. 28.Four angles meet at a point. Three of them are 90°, 100° and 160°. What is the fourth angle (in degrees)?
  29. 29.Four angles meet at a point. Three of them are 40°, 50° and 50°. What is the fourth angle (in degrees)?
  30. 30.Three angles together make a straight line. Two of them are 10° and 105°. What is the third angle (in degrees)?
  31. 31.Three angles together make a straight line. Two of them are 100° and 15°. What is the third angle (in degrees)?
  32. 32.Four angles meet at a point. Three of them are 70°, 90° and 160°. What is the fourth angle (in degrees)?
  33. 33.An angle measures 110°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Right
  34. 34.The minute hand of a clock turns clockwise from 5 to 9. How many degrees does it turn?
  35. 35.You face West and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) East (c) West (d) South
  36. 36.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) West (c) North (d) South
  37. 37.Three angles together make a straight line. Two of them are 80° and 15°. What is the third angle (in degrees)?
  38. 38.An angle measures 230°. What kind of angle is it? (a) Straight (b) Right (c) Reflex
  39. 39.The minute hand of a clock turns clockwise from 10 to 6. How many degrees does it turn?
  40. 40.The minute hand of a clock turns clockwise from 11 to 7. How many degrees does it turn?

Answer key

  1. 60
  2. West
  3. 100
  4. 300
  5. 60
  6. 180
  7. North
  8. 180
  9. 330
  10. 60
  11. East
  12. 110
  13. 45
  14. 150
  15. West
  16. 130
  17. Acute
  18. 15
  19. 60
  20. Obtuse
  21. 90
  22. 240
  23. Obtuse
  24. Straight
  25. East
  26. 180
  27. 15
  28. 10
  29. 220
  30. 65
  31. 65
  32. 40
  33. Obtuse
  34. 120
  35. North
  36. South
  37. 85
  38. Reflex
  39. 240
  40. 240

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