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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 515 · 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.An angle measures 335°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Acute
  2. 2.Three angles together make a straight line. Two of them are 15° and 55°. What is the third angle (in degrees)?
  3. 3.You face North and turn clockwise through 180°. Which direction do you face now? (a) East (b) North (c) West (d) South
  4. 4.A straight angle (180°) 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 85° and 45°. What is the third angle (in degrees)?
  6. 6.An angle measures 95°. What kind of angle is it? (a) Obtuse (b) Right (c) Acute
  7. 7.The minute hand of a clock turns clockwise from 3 to 9. How many degrees does it turn?
  8. 8.You face South and turn clockwise through 90°. Which direction do you face now? (a) East (b) West (c) South (d) North
  9. 9.Four angles meet at a point. Three of them are 30°, 100° and 180°. What is the fourth angle (in degrees)?
  10. 10.You face East and turn clockwise through 90°. Which direction do you face now? (a) East (b) West (c) South (d) North
  11. 11.Four angles meet at a point. Three of them are 30°, 100° and 70°. What is the fourth angle (in degrees)?
  12. 12.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  13. 13.Four angles meet at a point. Three of them are 30°, 50° and 230°. What is the fourth 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 40°, 30° and 200°. What is the fourth angle (in degrees)?
  16. 16.An angle measures 65°. What kind of angle is it? (a) Right (b) Obtuse (c) Acute
  17. 17.Three angles together make a straight line. Two of them are 60° and 75°. What is the third angle (in degrees)?
  18. 18.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  19. 19.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  20. 20.Four angles meet at a point. Three of them are 60°, 50° and 160°. What is the fourth angle (in degrees)?
  21. 21.Three angles together make a straight line. Two of them are 15° and 20°. What is the third angle (in degrees)?
  22. 22.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  23. 23.The minute hand of a clock turns clockwise from 2 to 4. How many degrees does it turn?
  24. 24.The minute hand of a clock turns clockwise from 8 to 7. How many degrees does it turn?
  25. 25.An angle measures 20°. What kind of angle is it? (a) Acute (b) Obtuse (c) Right
  26. 26.Four angles meet at a point. Three of them are 40°, 40° and 110°. What is the fourth angle (in degrees)?
  27. 27.An angle measures 180°. What kind of angle is it? (a) Reflex (b) Straight (c) Obtuse
  28. 28.You face East and turn clockwise through 270°. Which direction do you face now? (a) West (b) South (c) East (d) North
  29. 29.Three angles together make a straight line. Two of them are 50° and 10°. What is the third angle (in degrees)?
  30. 30.The minute hand of a clock turns clockwise from 3 to 12. How many degrees does it turn?
  31. 31.An angle measures 245°. What kind of angle is it? (a) Right (b) Acute (c) Reflex
  32. 32.Three angles together make a straight line. Two of them are 25° and 85°. What is the third angle (in degrees)?
  33. 33.An angle measures 15°. What kind of angle is it? (a) Acute (b) Right (c) Obtuse
  34. 34.Three angles together make a straight line. Two of them are 90° and 20°. What is the third angle (in degrees)?
  35. 35.An angle measures 75°. What kind of angle is it? (a) Right (b) Acute (c) Obtuse
  36. 36.You face North and turn clockwise through 90°. Which direction do you face now? (a) South (b) East (c) North (d) West
  37. 37.Four angles meet at a point. Three of them are 40°, 40° and 60°. What is the fourth angle (in degrees)?
  38. 38.Four angles meet at a point. Three of them are 80°, 50° and 170°. What is the fourth angle (in degrees)?
  39. 39.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  40. 40.Four angles meet at a point. Three of them are 40°, 90° and 70°. What is the fourth angle (in degrees)?

Answer key

  1. Reflex
  2. 110
  3. South
  4. 45
  5. 50
  6. Obtuse
  7. 180
  8. West
  9. 50
  10. South
  11. 160
  12. 15
  13. 50
  14. 90
  15. 90
  16. Acute
  17. 45
  18. 90
  19. 60
  20. 90
  21. 145
  22. 72
  23. 60
  24. 330
  25. Acute
  26. 170
  27. Straight
  28. North
  29. 120
  30. 270
  31. Reflex
  32. 70
  33. Acute
  34. 70
  35. Acute
  36. East
  37. 220
  38. 60
  39. 90
  40. 160

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