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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 670 · 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.

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  1. 1.You face West and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) East (c) West (d) South
  2. 2.You face East and turn clockwise through 90°. Which direction do you face now? (a) North (b) West (c) East (d) South
  3. 3.An angle measures 155°. What kind of angle is it? (a) Obtuse (b) Straight (c) Acute
  4. 4.Three angles together make a straight line. Two of them are 60° and 85°. What is the third angle (in degrees)?
  5. 5.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  6. 6.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  7. 7.Three angles together make a straight line. Two of them are 20° and 70°. What is the third angle (in degrees)?
  8. 8.Four angles meet at a point. Three of them are 30°, 80° and 50°. What is the fourth angle (in degrees)?
  9. 9.Four angles meet at a point. Three of them are 100°, 30° and 30°. What is the fourth angle (in degrees)?
  10. 10.Four angles meet at a point. Three of them are 40°, 30° and 200°. What is the fourth angle (in degrees)?
  11. 11.An angle measures 115°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Acute
  12. 12.An angle measures 90°. What kind of angle is it? (a) Reflex (b) Straight (c) Right
  13. 13.Three angles together make a straight line. Two of them are 45° and 25°. What is the third angle (in degrees)?
  14. 14.The minute hand of a clock turns clockwise from 8 to 11. How many degrees does it turn?
  15. 15.Four angles meet at a point. Three of them are 80°, 80° and 80°. What is the fourth angle (in degrees)?
  16. 16.An angle measures 310°. What kind of angle is it? (a) Acute (b) Straight (c) Reflex
  17. 17.Three angles together make a straight line. Two of them are 90° and 35°. What is the third angle (in degrees)?
  18. 18.The minute hand of a clock turns clockwise from 2 to 11. How many degrees does it turn?
  19. 19.Three angles together make a straight line. Two of them are 10° and 25°. What is the third angle (in degrees)?
  20. 20.Three angles together make a straight line. Two of them are 85° and 20°. What is the third angle (in degrees)?
  21. 21.Three angles together make a straight line. Two of them are 10° and 130°. What is the third angle (in degrees)?
  22. 22.The minute hand of a clock turns clockwise from 5 to 1. How many degrees does it turn?
  23. 23.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  24. 24.Three angles together make a straight line. Two of them are 35° and 90°. What is the third angle (in degrees)?
  25. 25.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) West (c) South (d) East
  26. 26.Four angles meet at a point. Three of them are 60°, 30° and 100°. What is the fourth angle (in degrees)?
  27. 27.An angle measures 180°. What kind of angle is it? (a) Straight (b) Obtuse (c) Acute
  28. 28.You face East and turn clockwise through 180°. Which direction do you face now? (a) East (b) South (c) West (d) North
  29. 29.An angle measures 125°. What kind of angle is it? (a) Straight (b) Acute (c) Obtuse
  30. 30.The minute hand of a clock turns clockwise from 2 to 4. How many degrees does it turn?
  31. 31.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  32. 32.The minute hand of a clock turns clockwise from 4 to 3. How many degrees does it turn?
  33. 33.The minute hand of a clock turns clockwise from 2 to 5. How many degrees does it turn?
  34. 34.Four angles meet at a point. Three of them are 40°, 40° and 30°. What is the fourth angle (in degrees)?
  35. 35.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  36. 36.You face West and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) South (c) East (d) North
  37. 37.Four angles meet at a point. Three of them are 100°, 70° and 50°. What is the fourth angle (in degrees)?
  38. 38.Three angles together make a straight line. Two of them are 85° and 45°. What is the third angle (in degrees)?
  39. 39.Three angles together make a straight line. Two of them are 50° and 105°. What is the third angle (in degrees)?
  40. 40.Four angles meet at a point. Three of them are 40°, 40° and 270°. What is the fourth angle (in degrees)?

Answer key

  1. North
  2. South
  3. Obtuse
  4. 35
  5. 120
  6. 60
  7. 90
  8. 200
  9. 200
  10. 90
  11. Obtuse
  12. Right
  13. 110
  14. 90
  15. 120
  16. Reflex
  17. 55
  18. 270
  19. 145
  20. 75
  21. 40
  22. 240
  23. 30
  24. 55
  25. South
  26. 170
  27. Straight
  28. West
  29. Obtuse
  30. 60
  31. 90
  32. 330
  33. 90
  34. 250
  35. 40
  36. East
  37. 140
  38. 50
  39. 25
  40. 10

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