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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 92 · 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.Three angles together make a straight line. Two of them are 25° and 85°. What is the third angle (in degrees)?
  2. 2.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) East (c) North (d) South
  3. 3.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) West (c) South (d) East
  4. 4.Four angles meet at a point. Three of them are 70°, 60° and 80°. What is the fourth angle (in degrees)?
  5. 5.Four angles meet at a point. Three of them are 80°, 70° and 100°. What is the fourth angle (in degrees)?
  6. 6.Four angles meet at a point. Three of them are 30°, 30° and 80°. What is the fourth angle (in degrees)?
  7. 7.Four angles meet at a point. Three of them are 50°, 80° and 200°. What is the fourth angle (in degrees)?
  8. 8.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  9. 9.Four angles meet at a point. Three of them are 70°, 90° and 110°. What is the fourth angle (in degrees)?
  10. 10.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  11. 11.An angle measures 260°. What kind of angle is it? (a) Acute (b) Right (c) Reflex
  12. 12.The minute hand of a clock turns clockwise from 5 to 3. How many degrees does it turn?
  13. 13.Four angles meet at a point. Three of them are 40°, 100° and 160°. What is the fourth angle (in degrees)?
  14. 14.Four angles meet at a point. Three of them are 30°, 50° and 170°. What is the fourth angle (in degrees)?
  15. 15.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  16. 16.An angle measures 60°. What kind of angle is it? (a) Straight (b) Reflex (c) Acute
  17. 17.You face West and turn clockwise through 180°. Which direction do you face now? (a) North (b) South (c) West (d) East
  18. 18.Four angles meet at a point. Three of them are 90°, 60° and 170°. What is the fourth angle (in degrees)?
  19. 19.The minute hand of a clock turns clockwise from 4 to 1. How many degrees does it turn?
  20. 20.Three angles together make a straight line. Two of them are 50° and 60°. What is the third angle (in degrees)?
  21. 21.Three angles together make a straight line. Two of them are 70° and 30°. What is the third angle (in degrees)?
  22. 22.The minute hand of a clock turns clockwise from 5 to 10. How many degrees does it turn?
  23. 23.The minute hand of a clock turns clockwise from 3 to 12. How many degrees does it turn?
  24. 24.The minute hand of a clock turns clockwise from 1 to 2. How many degrees does it turn?
  25. 25.An angle measures 160°. What kind of angle is it? (a) Straight (b) Obtuse (c) Right
  26. 26.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) East (c) West (d) South
  27. 27.The minute hand of a clock turns clockwise from 11 to 2. How many degrees does it turn?
  28. 28.The minute hand of a clock turns clockwise from 7 to 1. How many degrees does it turn?
  29. 29.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  30. 30.An angle measures 40°. What kind of angle is it? (a) Right (b) Acute (c) Reflex
  31. 31.The minute hand of a clock turns clockwise from 9 to 5. How many degrees does it turn?
  32. 32.The minute hand of a clock turns clockwise from 4 to 6. How many degrees does it turn?
  33. 33.Three angles together make a straight line. Two of them are 15° and 30°. What is the third angle (in degrees)?
  34. 34.Four angles meet at a point. Three of them are 90°, 90° and 150°. What is the fourth angle (in degrees)?
  35. 35.Four angles meet at a point. Three of them are 70°, 80° and 120°. What is the fourth angle (in degrees)?
  36. 36.You face East and turn clockwise through 270°. Which direction do you face now? (a) North (b) East (c) West (d) South
  37. 37.The minute hand of a clock turns clockwise from 9 to 8. How many degrees does it turn?
  38. 38.You face West and turn clockwise through 90°. Which direction do you face now? (a) West (b) South (c) North (d) East
  39. 39.Three angles together make a straight line. Two of them are 100° and 60°. What is the third angle (in degrees)?
  40. 40.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?

Answer key

  1. 70
  2. West
  3. East
  4. 150
  5. 110
  6. 220
  7. 30
  8. 45
  9. 90
  10. 30
  11. Reflex
  12. 300
  13. 60
  14. 110
  15. 60
  16. Acute
  17. East
  18. 40
  19. 270
  20. 70
  21. 80
  22. 150
  23. 270
  24. 30
  25. Obtuse
  26. South
  27. 90
  28. 180
  29. 60
  30. Acute
  31. 240
  32. 60
  33. 135
  34. 30
  35. 90
  36. North
  37. 330
  38. North
  39. 20
  40. 36

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