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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 2 · 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.

NameDateTime takenScore ___ / 40
  1. 1.Four angles meet at a point. Three of them are 80°, 70° and 160°. What is the fourth angle (in degrees)?
  2. 2.Four angles meet at a point. Three of them are 40°, 90° and 210°. What is the fourth angle (in degrees)?
  3. 3.Four angles meet at a point. Three of them are 70°, 90° and 110°. What is the fourth angle (in degrees)?
  4. 4.Four angles meet at a point. Three of them are 90°, 100° and 150°. What is the fourth angle (in degrees)?
  5. 5.The minute hand of a clock turns clockwise from 10 to 1. How many degrees does it turn?
  6. 6.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  7. 7.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) North (b) West (c) East (d) South
  8. 8.Three angles together make a straight line. Two of them are 75° and 55°. What is the third angle (in degrees)?
  9. 9.Three angles together make a straight line. Two of them are 50° and 30°. What is the third angle (in degrees)?
  10. 10.You face West and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) South (c) North (d) East
  11. 11.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) West (c) South (d) North
  12. 12.An angle measures 285°. What kind of angle is it? (a) Right (b) Straight (c) Reflex
  13. 13.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) North (c) South (d) West
  14. 14.An angle measures 90°. What kind of angle is it? (a) Reflex (b) Acute (c) Right
  15. 15.Four angles meet at a point. Three of them are 70°, 50° and 110°. What is the fourth angle (in degrees)?
  16. 16.Four angles meet at a point. Three of them are 80°, 50° and 30°. What is the fourth angle (in degrees)?
  17. 17.Four angles meet at a point. Three of them are 90°, 30° and 90°. What is the fourth angle (in degrees)?
  18. 18.An angle measures 180°. What kind of angle is it? (a) Reflex (b) Acute (c) Straight
  19. 19.An angle measures 115°. What kind of angle is it? (a) Straight (b) Obtuse (c) Right
  20. 20.The minute hand of a clock turns clockwise from 6 to 2. How many degrees does it turn?
  21. 21.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  22. 22.The minute hand of a clock turns clockwise from 8 to 5. How many degrees does it turn?
  23. 23.You face West and turn clockwise through 90°. Which direction do you face now? (a) West (b) South (c) North (d) East
  24. 24.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) South (c) North (d) West
  25. 25.Three angles together make a straight line. Two of them are 20° and 75°. What is the third angle (in degrees)?
  26. 26.Four angles meet at a point. Three of them are 50°, 30° and 70°. What is the fourth angle (in degrees)?
  27. 27.You face North and turn clockwise through 270°. Which direction do you face now? (a) West (b) East (c) North (d) South
  28. 28.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  29. 29.Four angles meet at a point. Three of them are 90°, 60° and 70°. What is the fourth angle (in degrees)?
  30. 30.An angle measures 95°. What kind of angle is it? (a) Obtuse (b) Right (c) Reflex
  31. 31.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  32. 32.The minute hand of a clock turns clockwise from 10 to 11. How many degrees does it turn?
  33. 33.Three angles together make a straight line. Two of them are 95° and 45°. What is the third angle (in degrees)?
  34. 34.The minute hand of a clock turns clockwise from 5 to 4. How many degrees does it turn?
  35. 35.The minute hand of a clock turns clockwise from 11 to 7. How many degrees does it turn?
  36. 36.Four angles meet at a point. Three of them are 60°, 80° and 40°. What is the fourth angle (in degrees)?
  37. 37.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) West (c) South (d) North
  38. 38.An angle measures 300°. What kind of angle is it? (a) Acute (b) Obtuse (c) Reflex
  39. 39.The minute hand of a clock turns clockwise from 5 to 1. How many degrees does it turn?
  40. 40.Four angles meet at a point. Three of them are 100°, 70° and 110°. What is the fourth angle (in degrees)?

Answer key

  1. 50
  2. 20
  3. 90
  4. 20
  5. 90
  6. 60
  7. West
  8. 50
  9. 100
  10. East
  11. West
  12. Reflex
  13. South
  14. Right
  15. 130
  16. 200
  17. 150
  18. Straight
  19. Obtuse
  20. 240
  21. 72
  22. 270
  23. North
  24. West
  25. 85
  26. 210
  27. West
  28. 20
  29. 140
  30. Obtuse
  31. 60
  32. 30
  33. 40
  34. 330
  35. 240
  36. 180
  37. East
  38. Reflex
  39. 240
  40. 80

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