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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 391 · 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 180°. What kind of angle is it? (a) Obtuse (b) Straight (c) Right
  2. 2.Four angles meet at a point. Three of them are 70°, 50° and 160°. What is the fourth angle (in degrees)?
  3. 3.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  4. 4.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) South (c) West (d) North
  5. 5.An angle measures 170°. What kind of angle is it? (a) Obtuse (b) Straight (c) Acute
  6. 6.Three angles together make a straight line. Two of them are 55° and 10°. What is the third angle (in degrees)?
  7. 7.Three angles together make a straight line. Two of them are 60° and 65°. What is the third angle (in degrees)?
  8. 8.Four angles meet at a point. Three of them are 90°, 50° and 210°. What is the fourth angle (in degrees)?
  9. 9.Three angles together make a straight line. Two of them are 45° and 55°. What is the third angle (in degrees)?
  10. 10.The minute hand of a clock turns clockwise from 8 to 5. How many degrees does it turn?
  11. 11.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  12. 12.Four angles meet at a point. Three of them are 50°, 50° and 30°. What is the fourth angle (in degrees)?
  13. 13.The minute hand of a clock turns clockwise from 2 to 4. How many degrees does it turn?
  14. 14.You face South and turn anticlockwise through 180°. Which direction do you face now? (a) East (b) South (c) West (d) North
  15. 15.An angle measures 90°. What kind of angle is it? (a) Reflex (b) Right (c) Acute
  16. 16.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  17. 17.Three angles together make a straight line. Two of them are 35° and 135°. What is the third angle (in degrees)?
  18. 18.You face West and turn clockwise through 90°. Which direction do you face now? (a) East (b) South (c) North (d) West
  19. 19.The minute hand of a clock turns clockwise from 5 to 10. How many degrees does it turn?
  20. 20.An angle measures 60°. What kind of angle is it? (a) Acute (b) Right (c) Obtuse
  21. 21.Four angles meet at a point. Three of them are 100°, 100° and 60°. What is the fourth angle (in degrees)?
  22. 22.Three angles together make a straight line. Two of them are 85° and 15°. What is the third angle (in degrees)?
  23. 23.The minute hand of a clock turns clockwise from 11 to 10. How many degrees does it turn?
  24. 24.Three angles together make a straight line. Two of them are 80° and 65°. What is the third angle (in degrees)?
  25. 25.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  26. 26.The minute hand of a clock turns clockwise from 1 to 2. How many degrees does it turn?
  27. 27.Three angles together make a straight line. Two of them are 75° and 30°. What is the third angle (in degrees)?
  28. 28.Four angles meet at a point. Three of them are 70°, 40° and 190°. What is the fourth angle (in degrees)?
  29. 29.Four angles meet at a point. Three of them are 90°, 70° and 190°. What is the fourth angle (in degrees)?
  30. 30.You face North and turn clockwise through 270°. Which direction do you face now? (a) South (b) North (c) East (d) West
  31. 31.Four angles meet at a point. Three of them are 60°, 100° and 120°. What is the fourth angle (in degrees)?
  32. 32.Four angles meet at a point. Three of them are 40°, 60° and 250°. What is the fourth angle (in degrees)?
  33. 33.An angle measures 85°. What kind of angle is it? (a) Reflex (b) Right (c) Acute
  34. 34.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  35. 35.The minute hand of a clock turns clockwise from 6 to 5. How many degrees does it turn?
  36. 36.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  37. 37.You face East and turn clockwise through 90°. Which direction do you face now? (a) East (b) North (c) South (d) West
  38. 38.The minute hand of a clock turns clockwise from 2 to 3. How many degrees does it turn?
  39. 39.The minute hand of a clock turns clockwise from 12 to 7. How many degrees does it turn?
  40. 40.The minute hand of a clock turns clockwise from 10 to 8. How many degrees does it turn?

Answer key

  1. Straight
  2. 80
  3. 20
  4. West
  5. Obtuse
  6. 115
  7. 55
  8. 10
  9. 80
  10. 270
  11. 18
  12. 230
  13. 60
  14. North
  15. Right
  16. 60
  17. 10
  18. North
  19. 150
  20. Acute
  21. 100
  22. 80
  23. 330
  24. 35
  25. 72
  26. 30
  27. 75
  28. 60
  29. 10
  30. West
  31. 80
  32. 10
  33. Acute
  34. 40
  35. 330
  36. 90
  37. South
  38. 30
  39. 210
  40. 300

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