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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 44 · 40 sums
TalentJR

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.Three angles together make a straight line. Two of them are 20° and 135°. What is the third angle (in degrees)?
  2. 2.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) East (b) North (c) West (d) South
  3. 3.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  4. 4.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) South (c) West (d) North
  5. 5.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  6. 6.An angle measures 130°. What kind of angle is it? (a) Straight (b) Obtuse (c) Right
  7. 7.Three angles together make a straight line. Two of them are 85° and 80°. What is the third angle (in degrees)?
  8. 8.Three angles together make a straight line. Two of them are 45° and 120°. What is the third angle (in degrees)?
  9. 9.The minute hand of a clock turns clockwise from 1 to 7. How many degrees does it turn?
  10. 10.Four angles meet at a point. Three of them are 90°, 30° and 190°. What is the fourth angle (in degrees)?
  11. 11.Three angles together make a straight line. Two of them are 15° and 50°. What is the third angle (in degrees)?
  12. 12.The minute hand of a clock turns clockwise from 6 to 3. How many degrees does it turn?
  13. 13.The minute hand of a clock turns clockwise from 2 to 5. How many degrees does it turn?
  14. 14.Four angles meet at a point. Three of them are 30°, 50° and 80°. What is the fourth angle (in degrees)?
  15. 15.An angle measures 90°. What kind of angle is it? (a) Obtuse (b) Acute (c) Right
  16. 16.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) South (c) West (d) North
  17. 17.Four angles meet at a point. Three of them are 80°, 90° and 100°. What is the fourth angle (in degrees)?
  18. 18.An angle measures 180°. What kind of angle is it? (a) Straight (b) Obtuse (c) Acute
  19. 19.The minute hand of a clock turns clockwise from 6 to 4. How many degrees does it turn?
  20. 20.An angle measures 285°. What kind of angle is it? (a) Obtuse (b) Right (c) Reflex
  21. 21.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  22. 22.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  23. 23.Three angles together make a straight line. Two of them are 60° and 90°. What is the third angle (in degrees)?
  24. 24.The minute hand of a clock turns clockwise from 11 to 1. How many degrees does it turn?
  25. 25.Three angles together make a straight line. Two of them are 65° and 55°. What is the third angle (in degrees)?
  26. 26.Three angles together make a straight line. Two of them are 35° and 10°. What is the third angle (in degrees)?
  27. 27.Four angles meet at a point. Three of them are 40°, 80° and 170°. What is the fourth angle (in degrees)?
  28. 28.You face South and turn clockwise through 90°. Which direction do you face now? (a) North (b) East (c) West (d) South
  29. 29.The minute hand of a clock turns clockwise from 12 to 4. How many degrees does it turn?
  30. 30.Three angles together make a straight line. Two of them are 25° and 75°. What is the third angle (in degrees)?
  31. 31.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  32. 32.Four angles meet at a point. Three of them are 60°, 100° and 50°. What is the fourth angle (in degrees)?
  33. 33.The minute hand of a clock turns clockwise from 10 to 3. How many degrees does it turn?
  34. 34.The minute hand of a clock turns clockwise from 12 to 9. How many degrees does it turn?
  35. 35.Four angles meet at a point. Three of them are 90°, 30° and 70°. What is the fourth angle (in degrees)?
  36. 36.You face West and turn clockwise through 180°. Which direction do you face now? (a) North (b) West (c) South (d) East
  37. 37.The minute hand of a clock turns clockwise from 7 to 6. How many degrees does it turn?
  38. 38.The minute hand of a clock turns clockwise from 7 to 1. How many degrees does it turn?
  39. 39.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) East (c) South (d) West
  40. 40.You face South and turn clockwise through 180°. Which direction do you face now? (a) West (b) North (c) South (d) East

Answer key

  1. 25
  2. West
  3. 60
  4. South
  5. 72
  6. Obtuse
  7. 15
  8. 15
  9. 180
  10. 50
  11. 115
  12. 270
  13. 90
  14. 200
  15. Right
  16. East
  17. 90
  18. Straight
  19. 300
  20. Reflex
  21. 36
  22. 30
  23. 30
  24. 60
  25. 60
  26. 135
  27. 70
  28. West
  29. 120
  30. 80
  31. 30
  32. 150
  33. 150
  34. 270
  35. 170
  36. East
  37. 330
  38. 180
  39. South
  40. North

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