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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 996 · 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.Four angles meet at a point. Three of them are 40°, 70° and 90°. What is the fourth angle (in degrees)?
  2. 2.You face East and turn clockwise through 180°. Which direction do you face now? (a) East (b) North (c) West (d) South
  3. 3.The minute hand of a clock turns clockwise from 12 to 1. How many degrees does it turn?
  4. 4.The minute hand of a clock turns clockwise from 6 to 10. How many degrees does it turn?
  5. 5.Three angles together make a straight line. Two of them are 80° and 15°. What is the third angle (in degrees)?
  6. 6.Three angles together make a straight line. Two of them are 10° and 30°. What is the third angle (in degrees)?
  7. 7.Four angles meet at a point. Three of them are 30°, 30° and 140°. What is the fourth angle (in degrees)?
  8. 8.You face North and turn clockwise through 90°. Which direction do you face now? (a) North (b) South (c) East (d) West
  9. 9.Three angles together make a straight line. Two of them are 20° and 85°. What is the third angle (in degrees)?
  10. 10.An angle measures 315°. What kind of angle is it? (a) Straight (b) Reflex (c) Acute
  11. 11.The minute hand of a clock turns clockwise from 10 to 8. How many degrees does it turn?
  12. 12.The minute hand of a clock turns clockwise from 4 to 8. How many degrees does it turn?
  13. 13.Three angles together make a straight line. Two of them are 65° and 10°. What is the third angle (in degrees)?
  14. 14.An angle measures 335°. What kind of angle is it? (a) Straight (b) Right (c) Reflex
  15. 15.Four angles meet at a point. Three of them are 100°, 90° and 50°. What is the fourth angle (in degrees)?
  16. 16.Four angles meet at a point. Three of them are 40°, 30° and 80°. What is the fourth angle (in degrees)?
  17. 17.Four angles meet at a point. Three of them are 100°, 80° and 90°. What is the fourth angle (in degrees)?
  18. 18.You face North and turn clockwise through 180°. Which direction do you face now? (a) North (b) West (c) South (d) East
  19. 19.Four angles meet at a point. Three of them are 40°, 50° and 150°. What is the fourth angle (in degrees)?
  20. 20.An angle measures 30°. What kind of angle is it? (a) Acute (b) Right (c) Obtuse
  21. 21.An angle measures 180°. What kind of angle is it? (a) Straight (b) Acute (c) Right
  22. 22.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  23. 23.The minute hand of a clock turns clockwise from 3 to 9. How many degrees does it turn?
  24. 24.Three angles together make a straight line. Two of them are 95° and 60°. What is the third angle (in degrees)?
  25. 25.Four angles meet at a point. Three of them are 90°, 80° and 70°. What is the fourth angle (in degrees)?
  26. 26.An angle measures 90°. What kind of angle is it? (a) Acute (b) Right (c) Reflex
  27. 27.Three angles together make a straight line. Two of them are 30° and 60°. What is the third angle (in degrees)?
  28. 28.You face South and turn clockwise through 270°. Which direction do you face now? (a) North (b) South (c) West (d) East
  29. 29.The minute hand of a clock turns clockwise from 6 to 7. How many degrees does it turn?
  30. 30.An angle measures 135°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Acute
  31. 31.The minute hand of a clock turns clockwise from 12 to 8. How many degrees does it turn?
  32. 32.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  33. 33.Three angles together make a straight line. Two of them are 10° and 65°. What is the third angle (in degrees)?
  34. 34.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  35. 35.Three angles together make a straight line. Two of them are 50° and 15°. What is the third angle (in degrees)?
  36. 36.An angle measures 340°. What kind of angle is it? (a) Acute (b) Reflex (c) Obtuse
  37. 37.Three angles together make a straight line. Two of them are 10° and 145°. What is the third angle (in degrees)?
  38. 38.The minute hand of a clock turns clockwise from 7 to 2. How many degrees does it turn?
  39. 39.The minute hand of a clock turns clockwise from 5 to 10. How many degrees does it turn?
  40. 40.The minute hand of a clock turns clockwise from 5 to 4. How many degrees does it turn?

Answer key

  1. 160
  2. West
  3. 30
  4. 120
  5. 85
  6. 140
  7. 160
  8. East
  9. 75
  10. Reflex
  11. 300
  12. 120
  13. 105
  14. Reflex
  15. 120
  16. 210
  17. 90
  18. South
  19. 120
  20. Acute
  21. Straight
  22. 60
  23. 180
  24. 25
  25. 120
  26. Right
  27. 90
  28. East
  29. 30
  30. Obtuse
  31. 240
  32. 36
  33. 105
  34. 40
  35. 115
  36. Reflex
  37. 25
  38. 210
  39. 150
  40. 330

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