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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 250 · 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 270°. Which direction do you face now? (a) South (b) East (c) West (d) North
  2. 2.Four angles meet at a point. Three of them are 60°, 50° and 180°. What is the fourth angle (in degrees)?
  3. 3.Four angles meet at a point. Three of them are 60°, 80° and 180°. What is the fourth angle (in degrees)?
  4. 4.Four angles meet at a point. Three of them are 40°, 90° and 90°. What is the fourth angle (in degrees)?
  5. 5.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) East (c) North (d) West
  6. 6.Three angles together make a straight line. Two of them are 40° and 130°. What is the third angle (in degrees)?
  7. 7.Four angles meet at a point. Three of them are 50°, 100° and 90°. What is the fourth angle (in degrees)?
  8. 8.Four angles meet at a point. Three of them are 50°, 100° and 160°. What is the fourth angle (in degrees)?
  9. 9.The minute hand of a clock turns clockwise from 10 to 3. How many degrees does it turn?
  10. 10.The minute hand of a clock turns clockwise from 10 to 2. How many degrees does it turn?
  11. 11.The minute hand of a clock turns clockwise from 3 to 7. How many degrees does it turn?
  12. 12.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  13. 13.You face South and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) East (c) North (d) West
  14. 14.Four angles meet at a point. Three of them are 70°, 50° and 60°. What is the fourth angle (in degrees)?
  15. 15.An angle measures 25°. What kind of angle is it? (a) Straight (b) Right (c) Acute
  16. 16.Three angles together make a straight line. Two of them are 20° and 10°. What is the third angle (in degrees)?
  17. 17.Three angles together make a straight line. Two of them are 25° and 10°. What is the third angle (in degrees)?
  18. 18.Four angles meet at a point. Three of them are 30°, 90° and 70°. What is the fourth angle (in degrees)?
  19. 19.The minute hand of a clock turns clockwise from 8 to 6. How many degrees does it turn?
  20. 20.Three angles together make a straight line. Two of them are 85° and 25°. What is the third angle (in degrees)?
  21. 21.Four angles meet at a point. Three of them are 100°, 40° and 160°. What is the fourth angle (in degrees)?
  22. 22.An angle measures 90°. What kind of angle is it? (a) Straight (b) Reflex (c) Right
  23. 23.Four angles meet at a point. Three of them are 60°, 30° and 30°. What is the fourth angle (in degrees)?
  24. 24.Three angles together make a straight line. Two of them are 20° and 80°. What is the third angle (in degrees)?
  25. 25.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) East (c) West (d) South
  26. 26.Four angles meet at a point. Three of them are 100°, 50° and 50°. What is the fourth angle (in degrees)?
  27. 27.The minute hand of a clock turns clockwise from 2 to 3. How many degrees does it turn?
  28. 28.An angle measures 240°. What kind of angle is it? (a) Reflex (b) Acute (c) Obtuse
  29. 29.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  30. 30.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) East (b) South (c) West (d) North
  31. 31.The minute hand of a clock turns clockwise from 11 to 10. How many degrees does it turn?
  32. 32.The minute hand of a clock turns clockwise from 3 to 10. How many degrees does it turn?
  33. 33.Three angles together make a straight line. Two of them are 45° and 20°. What is the third angle (in degrees)?
  34. 34.The minute hand of a clock turns clockwise from 2 to 6. How many degrees does it turn?
  35. 35.Four angles meet at a point. Three of them are 60°, 90° and 70°. What is the fourth angle (in degrees)?
  36. 36.The minute hand of a clock turns clockwise from 12 to 3. How many degrees does it turn?
  37. 37.Three angles together make a straight line. Two of them are 60° and 85°. What is the third angle (in degrees)?
  38. 38.Four angles meet at a point. Three of them are 90°, 90° and 130°. What is the fourth angle (in degrees)?
  39. 39.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  40. 40.An angle measures 80°. What kind of angle is it? (a) Obtuse (b) Acute (c) Right

Answer key

  1. East
  2. 70
  3. 40
  4. 140
  5. South
  6. 10
  7. 120
  8. 50
  9. 150
  10. 120
  11. 120
  12. 36
  13. North
  14. 180
  15. Acute
  16. 150
  17. 145
  18. 170
  19. 300
  20. 70
  21. 60
  22. Right
  23. 240
  24. 80
  25. West
  26. 160
  27. 30
  28. Reflex
  29. 45
  30. West
  31. 330
  32. 210
  33. 115
  34. 120
  35. 140
  36. 90
  37. 35
  38. 50
  39. 90
  40. Acute

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