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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 416 · 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 210°. What kind of angle is it? (a) Obtuse (b) Right (c) Reflex
  2. 2.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  3. 3.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) South (c) East (d) North
  4. 4.Four angles meet at a point. Three of them are 50°, 50° and 30°. What is the fourth angle (in degrees)?
  5. 5.Four angles meet at a point. Three of them are 30°, 70° and 30°. What is the fourth angle (in degrees)?
  6. 6.The minute hand of a clock turns clockwise from 2 to 3. How many degrees does it turn?
  7. 7.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) West (c) North (d) South
  8. 8.An angle measures 340°. What kind of angle is it? (a) Obtuse (b) Acute (c) Reflex
  9. 9.Four angles meet at a point. Three of them are 100°, 50° and 180°. What is the fourth angle (in degrees)?
  10. 10.An angle measures 245°. What kind of angle is it? (a) Acute (b) Obtuse (c) Reflex
  11. 11.You face North and turn clockwise through 180°. Which direction do you face now? (a) East (b) South (c) North (d) West
  12. 12.You face West and turn clockwise through 270°. Which direction do you face now? (a) North (b) East (c) South (d) West
  13. 13.An angle measures 180°. What kind of angle is it? (a) Reflex (b) Straight (c) Acute
  14. 14.An angle measures 155°. What kind of angle is it? (a) Acute (b) Reflex (c) Obtuse
  15. 15.An angle measures 100°. What kind of angle is it? (a) Straight (b) Obtuse (c) Acute
  16. 16.The minute hand of a clock turns clockwise from 6 to 5. How many degrees does it turn?
  17. 17.The minute hand of a clock turns clockwise from 4 to 10. How many degrees does it turn?
  18. 18.Three angles together make a straight line. Two of them are 30° and 110°. What is the third angle (in degrees)?
  19. 19.The minute hand of a clock turns clockwise from 9 to 4. How many degrees does it turn?
  20. 20.An angle measures 75°. What kind of angle is it? (a) Obtuse (b) Acute (c) Right
  21. 21.Three angles together make a straight line. Two of them are 40° and 130°. What is the third angle (in degrees)?
  22. 22.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  23. 23.An angle measures 325°. What kind of angle is it? (a) Obtuse (b) Acute (c) Reflex
  24. 24.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  25. 25.The minute hand of a clock turns clockwise from 1 to 2. How many degrees does it turn?
  26. 26.You face South and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) East (c) South (d) North
  27. 27.The minute hand of a clock turns clockwise from 10 to 4. How many degrees does it turn?
  28. 28.An angle measures 25°. What kind of angle is it? (a) Obtuse (b) Acute (c) Reflex
  29. 29.Three angles together make a straight line. Two of them are 95° and 35°. What is the third angle (in degrees)?
  30. 30.You face West and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) South (c) North (d) East
  31. 31.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) West (c) North (d) East
  32. 32.Four angles meet at a point. Three of them are 90°, 100° and 120°. What is the fourth angle (in degrees)?
  33. 33.The minute hand of a clock turns clockwise from 12 to 10. How many degrees does it turn?
  34. 34.Four angles meet at a point. Three of them are 30°, 50° and 220°. What is the fourth angle (in degrees)?
  35. 35.The minute hand of a clock turns clockwise from 6 to 8. How many degrees does it turn?
  36. 36.Three angles together make a straight line. Two of them are 45° and 45°. What is the third angle (in degrees)?
  37. 37.Three angles together make a straight line. Two of them are 35° and 80°. What is the third angle (in degrees)?
  38. 38.The minute hand of a clock turns clockwise from 8 to 4. How many degrees does it turn?
  39. 39.The minute hand of a clock turns clockwise from 9 to 6. How many degrees does it turn?
  40. 40.Three angles together make a straight line. Two of them are 55° and 30°. What is the third angle (in degrees)?

Answer key

  1. Reflex
  2. 30
  3. West
  4. 230
  5. 230
  6. 30
  7. East
  8. Reflex
  9. 30
  10. Reflex
  11. South
  12. South
  13. Straight
  14. Obtuse
  15. Obtuse
  16. 330
  17. 180
  18. 40
  19. 210
  20. Acute
  21. 10
  22. 45
  23. Reflex
  24. 15
  25. 30
  26. North
  27. 180
  28. Acute
  29. 50
  30. North
  31. North
  32. 50
  33. 300
  34. 60
  35. 60
  36. 90
  37. 65
  38. 240
  39. 270
  40. 95

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