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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 579 · 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 90° and 70°. What is the third angle (in degrees)?
  2. 2.An angle measures 135°. What kind of angle is it? (a) Straight (b) Obtuse (c) Reflex
  3. 3.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) West (c) East (d) South
  4. 4.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  5. 5.Three angles together make a straight line. Two of them are 95° and 75°. What is the third angle (in degrees)?
  6. 6.The minute hand of a clock turns clockwise from 11 to 5. How many degrees does it turn?
  7. 7.An angle measures 90°. What kind of angle is it? (a) Acute (b) Obtuse (c) Right
  8. 8.An angle measures 170°. What kind of angle is it? (a) Acute (b) Obtuse (c) Right
  9. 9.Four angles meet at a point. Three of them are 40°, 60° and 230°. What is the fourth angle (in degrees)?
  10. 10.You face South and turn clockwise through 90°. Which direction do you face now? (a) North (b) East (c) West (d) South
  11. 11.An angle measures 5°. What kind of angle is it? (a) Straight (b) Right (c) Acute
  12. 12.You face West and turn clockwise through 180°. Which direction do you face now? (a) South (b) North (c) West (d) East
  13. 13.The minute hand of a clock turns clockwise from 11 to 12. How many degrees does it turn?
  14. 14.Three angles together make a straight line. Two of them are 100° and 50°. What is the third angle (in degrees)?
  15. 15.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  16. 16.Four angles meet at a point. Three of them are 60°, 90° and 100°. What is the fourth angle (in degrees)?
  17. 17.An angle measures 180°. What kind of angle is it? (a) Right (b) Obtuse (c) Straight
  18. 18.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  19. 19.Three angles together make a straight line. Two of them are 25° and 45°. What is the third angle (in degrees)?
  20. 20.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  21. 21.Four angles meet at a point. Three of them are 100°, 40° and 40°. What is the fourth angle (in degrees)?
  22. 22.The minute hand of a clock turns clockwise from 3 to 12. How many degrees does it turn?
  23. 23.Three angles together make a straight line. Two of them are 40° and 70°. What is the third angle (in degrees)?
  24. 24.The minute hand of a clock turns clockwise from 1 to 6. How many degrees does it turn?
  25. 25.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  26. 26.The minute hand of a clock turns clockwise from 6 to 1. How many degrees does it turn?
  27. 27.Four angles meet at a point. Three of them are 40°, 30° and 110°. What is the fourth angle (in degrees)?
  28. 28.The minute hand of a clock turns clockwise from 9 to 10. How many degrees does it turn?
  29. 29.The minute hand of a clock turns clockwise from 3 to 9. How many degrees does it turn?
  30. 30.Three angles together make a straight line. Two of them are 80° and 65°. What is the third angle (in degrees)?
  31. 31.Three angles together make a straight line. Two of them are 40° and 25°. What is the third angle (in degrees)?
  32. 32.Three angles together make a straight line. Two of them are 90° and 25°. What is the third angle (in degrees)?
  33. 33.Four angles meet at a point. Three of them are 80°, 50° and 80°. What is the fourth angle (in degrees)?
  34. 34.Four angles meet at a point. Three of them are 90°, 100° and 40°. What is the fourth angle (in degrees)?
  35. 35.Three angles together make a straight line. Two of them are 15° and 75°. What is the third angle (in degrees)?
  36. 36.Three angles together make a straight line. Two of them are 25° and 25°. What is the third angle (in degrees)?
  37. 37.You face East and turn clockwise through 270°. Which direction do you face now? (a) East (b) South (c) North (d) West
  38. 38.Three angles together make a straight line. Two of them are 15° and 40°. What is the third angle (in degrees)?
  39. 39.Four angles meet at a point. Three of them are 40°, 50° and 230°. What is the fourth angle (in degrees)?
  40. 40.The minute hand of a clock turns clockwise from 4 to 1. How many degrees does it turn?

Answer key

  1. 20
  2. Obtuse
  3. South
  4. 90
  5. 10
  6. 180
  7. Right
  8. Obtuse
  9. 30
  10. West
  11. Acute
  12. East
  13. 30
  14. 30
  15. 36
  16. 110
  17. Straight
  18. 40
  19. 110
  20. 60
  21. 180
  22. 270
  23. 70
  24. 150
  25. 36
  26. 210
  27. 180
  28. 30
  29. 180
  30. 35
  31. 115
  32. 65
  33. 150
  34. 130
  35. 90
  36. 130
  37. North
  38. 125
  39. 40
  40. 270

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