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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 377 · 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.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  2. 2.The minute hand of a clock turns clockwise from 10 to 12. How many degrees does it turn?
  3. 3.Four angles meet at a point. Three of them are 80°, 40° and 160°. What is the fourth angle (in degrees)?
  4. 4.You face East and turn clockwise through 270°. Which direction do you face now? (a) East (b) North (c) South (d) West
  5. 5.The minute hand of a clock turns clockwise from 5 to 9. How many degrees does it turn?
  6. 6.Three angles together make a straight line. Two of them are 75° and 60°. What is the third angle (in degrees)?
  7. 7.An angle measures 180°. What kind of angle is it? (a) Right (b) Obtuse (c) Straight
  8. 8.Three angles together make a straight line. Two of them are 75° and 70°. What is the third angle (in degrees)?
  9. 9.You face North and turn clockwise through 90°. Which direction do you face now? (a) East (b) West (c) South (d) North
  10. 10.Three angles together make a straight line. Two of them are 85° and 50°. What is the third angle (in degrees)?
  11. 11.Three angles together make a straight line. Two of them are 15° and 45°. What is the third angle (in degrees)?
  12. 12.You face East and turn clockwise through 90°. Which direction do you face now? (a) North (b) South (c) West (d) East
  13. 13.Four angles meet at a point. Three of them are 60°, 40° and 70°. What is the fourth angle (in degrees)?
  14. 14.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) South (c) West (d) North
  15. 15.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) East (c) South (d) North
  16. 16.Four angles meet at a point. Three of them are 60°, 40° and 160°. What is the fourth angle (in degrees)?
  17. 17.Four angles meet at a point. Three of them are 90°, 40° and 100°. What is the fourth angle (in degrees)?
  18. 18.The minute hand of a clock turns clockwise from 9 to 10. How many degrees does it turn?
  19. 19.Four angles meet at a point. Three of them are 90°, 80° and 40°. What is the fourth angle (in degrees)?
  20. 20.An angle measures 90°. What kind of angle is it? (a) Obtuse (b) Right (c) Acute
  21. 21.Three angles together make a straight line. Two of them are 100° and 40°. What is the third angle (in degrees)?
  22. 22.Three angles together make a straight line. Two of them are 25° and 15°. What is the third angle (in degrees)?
  23. 23.You face South and turn clockwise through 90°. Which direction do you face now? (a) East (b) West (c) North (d) South
  24. 24.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) East (c) South (d) West
  25. 25.You face West and turn clockwise through 90°. Which direction do you face now? (a) East (b) North (c) West (d) South
  26. 26.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  27. 27.You face North and turn clockwise through 270°. Which direction do you face now? (a) East (b) West (c) South (d) North
  28. 28.An angle measures 120°. What kind of angle is it? (a) Obtuse (b) Acute (c) Reflex
  29. 29.Four angles meet at a point. Three of them are 70°, 50° and 100°. What is the fourth angle (in degrees)?
  30. 30.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  31. 31.Three angles together make a straight line. Two of them are 85° and 60°. What is the third angle (in degrees)?
  32. 32.The minute hand of a clock turns clockwise from 9 to 7. How many degrees does it turn?
  33. 33.Three angles together make a straight line. Two of them are 70° and 10°. What is the third angle (in degrees)?
  34. 34.The minute hand of a clock turns clockwise from 3 to 1. How many degrees does it turn?
  35. 35.An angle measures 300°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Straight
  36. 36.Three angles together make a straight line. Two of them are 50° and 80°. What is the third angle (in degrees)?
  37. 37.Three angles together make a straight line. Two of them are 40° and 125°. What is the third angle (in degrees)?
  38. 38.Three angles together make a straight line. Two of them are 25° and 40°. What is the third angle (in degrees)?
  39. 39.Four angles meet at a point. Three of them are 40°, 80° and 50°. What is the fourth angle (in degrees)?
  40. 40.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?

Answer key

  1. 72
  2. 60
  3. 80
  4. North
  5. 120
  6. 45
  7. Straight
  8. 35
  9. East
  10. 45
  11. 120
  12. South
  13. 190
  14. East
  15. South
  16. 100
  17. 130
  18. 30
  19. 150
  20. Right
  21. 40
  22. 140
  23. West
  24. West
  25. North
  26. 60
  27. West
  28. Obtuse
  29. 140
  30. 90
  31. 35
  32. 300
  33. 100
  34. 300
  35. Reflex
  36. 50
  37. 15
  38. 115
  39. 190
  40. 30

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