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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 185 · 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°, 50° and 50°. What is the fourth angle (in degrees)?
  2. 2.An angle measures 90°. What kind of angle is it? (a) Straight (b) Reflex (c) Right
  3. 3.The minute hand of a clock turns clockwise from 3 to 7. How many degrees does it turn?
  4. 4.You face North and turn clockwise through 90°. Which direction do you face now? (a) West (b) North (c) East (d) South
  5. 5.The minute hand of a clock turns clockwise from 1 to 3. How many degrees does it turn?
  6. 6.An angle measures 180°. What kind of angle is it? (a) Acute (b) Right (c) Straight
  7. 7.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  8. 8.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) South (c) West (d) East
  9. 9.An angle measures 165°. What kind of angle is it? (a) Right (b) Obtuse (c) Reflex
  10. 10.The minute hand of a clock turns clockwise from 6 to 7. How many degrees does it turn?
  11. 11.Four angles meet at a point. Three of them are 60°, 50° and 90°. What is the fourth angle (in degrees)?
  12. 12.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) North (c) South (d) East
  13. 13.The minute hand of a clock turns clockwise from 3 to 9. How many degrees does it turn?
  14. 14.Four angles meet at a point. Three of them are 70°, 40° and 120°. What is the fourth angle (in degrees)?
  15. 15.The minute hand of a clock turns clockwise from 6 to 12. How many degrees does it turn?
  16. 16.Four angles meet at a point. Three of them are 50°, 50° and 80°. What is the fourth angle (in degrees)?
  17. 17.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  18. 18.An angle measures 40°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Acute
  19. 19.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  20. 20.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  21. 21.Three angles together make a straight line. Two of them are 20° and 40°. What is the third angle (in degrees)?
  22. 22.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  23. 23.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) East (c) South (d) North
  24. 24.Four angles meet at a point. Three of them are 40°, 40° and 270°. What is the fourth angle (in degrees)?
  25. 25.The minute hand of a clock turns clockwise from 2 to 8. How many degrees does it turn?
  26. 26.Four angles meet at a point. Three of them are 80°, 30° and 170°. What is the fourth angle (in degrees)?
  27. 27.Three angles together make a straight line. Two of them are 45° and 80°. What is the third angle (in degrees)?
  28. 28.Three angles together make a straight line. Two of them are 85° and 40°. What is the third angle (in degrees)?
  29. 29.Four angles meet at a point. Three of them are 90°, 80° and 120°. What is the fourth angle (in degrees)?
  30. 30.Three angles together make a straight line. Two of them are 85° and 30°. What is the third angle (in degrees)?
  31. 31.Four angles meet at a point. Three of them are 70°, 50° and 30°. What is the fourth angle (in degrees)?
  32. 32.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  33. 33.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  34. 34.Four angles meet at a point. Three of them are 90°, 30° and 30°. What is the fourth angle (in degrees)?
  35. 35.The minute hand of a clock turns clockwise from 10 to 12. How many degrees does it turn?
  36. 36.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  37. 37.Three angles together make a straight line. Two of them are 85° and 65°. What is the third angle (in degrees)?
  38. 38.Three angles together make a straight line. Two of them are 45° and 45°. What is the third angle (in degrees)?
  39. 39.The minute hand of a clock turns clockwise from 10 to 1. How many degrees does it turn?
  40. 40.Four angles meet at a point. Three of them are 60°, 100° and 180°. What is the fourth angle (in degrees)?

Answer key

  1. 180
  2. Right
  3. 120
  4. East
  5. 60
  6. Straight
  7. 45
  8. South
  9. Obtuse
  10. 30
  11. 160
  12. West
  13. 180
  14. 130
  15. 180
  16. 180
  17. 45
  18. Acute
  19. 60
  20. 20
  21. 120
  22. 40
  23. East
  24. 10
  25. 180
  26. 80
  27. 55
  28. 55
  29. 70
  30. 65
  31. 210
  32. 30
  33. 90
  34. 210
  35. 60
  36. 60
  37. 30
  38. 90
  39. 90
  40. 20

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