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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 72 · 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.An angle measures 90°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Right
  2. 2.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  3. 3.You face South and turn clockwise through 180°. Which direction do you face now? (a) South (b) West (c) North (d) East
  4. 4.Three angles together make a straight line. Two of them are 45° and 70°. What is the third angle (in degrees)?
  5. 5.Three angles together make a straight line. Two of them are 30° and 30°. What is the third angle (in degrees)?
  6. 6.An angle measures 240°. What kind of angle is it? (a) Reflex (b) Straight (c) Acute
  7. 7.Three angles together make a straight line. Two of them are 30° and 10°. What is the third angle (in degrees)?
  8. 8.An angle measures 270°. What kind of angle is it? (a) Straight (b) Acute (c) Reflex
  9. 9.Three angles together make a straight line. Two of them are 35° and 115°. What is the third angle (in degrees)?
  10. 10.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  11. 11.The minute hand of a clock turns clockwise from 4 to 10. How many degrees does it turn?
  12. 12.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  13. 13.You face North and turn clockwise through 270°. Which direction do you face now? (a) North (b) South (c) East (d) West
  14. 14.Four angles meet at a point. Three of them are 80°, 50° and 140°. What is the fourth angle (in degrees)?
  15. 15.Four angles meet at a point. Three of them are 40°, 70° and 70°. What is the fourth angle (in degrees)?
  16. 16.The minute hand of a clock turns clockwise from 12 to 10. How many degrees does it turn?
  17. 17.The minute hand of a clock turns clockwise from 5 to 9. How many degrees does it turn?
  18. 18.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  19. 19.You face West and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) North (c) South (d) East
  20. 20.Four angles meet at a point. Three of them are 90°, 50° and 70°. What is the fourth angle (in degrees)?
  21. 21.The minute hand of a clock turns clockwise from 1 to 3. How many degrees does it turn?
  22. 22.The minute hand of a clock turns clockwise from 6 to 11. How many degrees does it turn?
  23. 23.The minute hand of a clock turns clockwise from 6 to 5. How many degrees does it turn?
  24. 24.The minute hand of a clock turns clockwise from 5 to 12. How many degrees does it turn?
  25. 25.The minute hand of a clock turns clockwise from 2 to 5. How many degrees does it turn?
  26. 26.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  27. 27.Three angles together make a straight line. Two of them are 90° and 10°. What is the third angle (in degrees)?
  28. 28.Three angles together make a straight line. Two of them are 15° and 125°. What is the third angle (in degrees)?
  29. 29.Four angles meet at a point. Three of them are 30°, 80° and 50°. What is the fourth angle (in degrees)?
  30. 30.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) North (b) West (c) South (d) East
  31. 31.Three angles together make a straight line. Two of them are 50° and 10°. What is the third angle (in degrees)?
  32. 32.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  33. 33.Three angles together make a straight line. Two of them are 15° and 70°. What is the third angle (in degrees)?
  34. 34.You face South and turn clockwise through 270°. Which direction do you face now? (a) South (b) East (c) North (d) West
  35. 35.An angle measures 130°. What kind of angle is it? (a) Acute (b) Straight (c) Obtuse
  36. 36.Three angles together make a straight line. Two of them are 40° and 60°. What is the third angle (in degrees)?
  37. 37.The minute hand of a clock turns clockwise from 11 to 1. How many degrees does it turn?
  38. 38.Four angles meet at a point. Three of them are 90°, 90° and 50°. What is the fourth angle (in degrees)?
  39. 39.Three angles together make a straight line. Two of them are 80° and 75°. What is the third angle (in degrees)?
  40. 40.Three angles together make a straight line. Two of them are 90° and 30°. What is the third angle (in degrees)?

Answer key

  1. Right
  2. 30
  3. North
  4. 65
  5. 120
  6. Reflex
  7. 140
  8. Reflex
  9. 30
  10. 40
  11. 180
  12. 18
  13. West
  14. 90
  15. 180
  16. 300
  17. 120
  18. 60
  19. East
  20. 150
  21. 60
  22. 150
  23. 330
  24. 210
  25. 90
  26. 120
  27. 80
  28. 40
  29. 200
  30. West
  31. 120
  32. 60
  33. 95
  34. East
  35. Obtuse
  36. 80
  37. 60
  38. 130
  39. 25
  40. 60

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