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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 559 · 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.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  2. 2.An angle measures 180°. What kind of angle is it? (a) Right (b) Straight (c) Acute
  3. 3.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  4. 4.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) South (c) North (d) East
  5. 5.The minute hand of a clock turns clockwise from 8 to 3. How many degrees does it turn?
  6. 6.Three angles together make a straight line. Two of them are 40° and 20°. What is the third angle (in degrees)?
  7. 7.Four angles meet at a point. Three of them are 40°, 70° and 190°. What is the fourth angle (in degrees)?
  8. 8.An angle measures 155°. What kind of angle is it? (a) Obtuse (b) Straight (c) Reflex
  9. 9.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  10. 10.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) West (c) South (d) East
  11. 11.The minute hand of a clock turns clockwise from 5 to 11. How many degrees does it turn?
  12. 12.Four angles meet at a point. Three of them are 30°, 100° and 170°. What is the fourth angle (in degrees)?
  13. 13.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  14. 14.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  15. 15.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  16. 16.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) East (c) North (d) South
  17. 17.The minute hand of a clock turns clockwise from 4 to 5. How many degrees does it turn?
  18. 18.An angle measures 60°. What kind of angle is it? (a) Acute (b) Obtuse (c) Right
  19. 19.An angle measures 90°. What kind of angle is it? (a) Obtuse (b) Acute (c) Right
  20. 20.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) West (c) East (d) South
  21. 21.Four angles meet at a point. Three of them are 50°, 50° and 150°. What is the fourth angle (in degrees)?
  22. 22.You face South and turn clockwise through 180°. Which direction do you face now? (a) North (b) East (c) West (d) South
  23. 23.The minute hand of a clock turns clockwise from 7 to 9. How many degrees does it turn?
  24. 24.Three angles together make a straight line. Two of them are 20° and 115°. What is the third angle (in degrees)?
  25. 25.You face West and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) North (c) West (d) East
  26. 26.The minute hand of a clock turns clockwise from 12 to 3. How many degrees does it turn?
  27. 27.Three angles together make a straight line. Two of them are 10° and 125°. What is the third angle (in degrees)?
  28. 28.Four angles meet at a point. Three of them are 30°, 70° and 50°. What is the fourth angle (in degrees)?
  29. 29.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  30. 30.Three angles together make a straight line. Two of them are 80° and 20°. What is the third angle (in degrees)?
  31. 31.Three angles together make a straight line. Two of them are 60° and 95°. What is the third angle (in degrees)?
  32. 32.Three angles together make a straight line. Two of them are 10° and 115°. What is the third angle (in degrees)?
  33. 33.Three angles together make a straight line. Two of them are 90° and 20°. What is the third angle (in degrees)?
  34. 34.Three angles together make a straight line. Two of them are 35° and 100°. What is the third angle (in degrees)?
  35. 35.An angle measures 120°. What kind of angle is it? (a) Acute (b) Obtuse (c) Straight
  36. 36.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  37. 37.The minute hand of a clock turns clockwise from 8 to 5. How many degrees does it turn?
  38. 38.The minute hand of a clock turns clockwise from 9 to 10. How many degrees does it turn?
  39. 39.Four angles meet at a point. Three of them are 90°, 40° and 110°. What is the fourth angle (in degrees)?
  40. 40.The minute hand of a clock turns clockwise from 12 to 8. How many degrees does it turn?

Answer key

  1. 30
  2. Straight
  3. 72
  4. North
  5. 210
  6. 120
  7. 60
  8. Obtuse
  9. 90
  10. East
  11. 180
  12. 60
  13. 40
  14. 45
  15. 36
  16. South
  17. 30
  18. Acute
  19. Right
  20. South
  21. 110
  22. North
  23. 60
  24. 45
  25. East
  26. 90
  27. 45
  28. 210
  29. 60
  30. 80
  31. 25
  32. 55
  33. 70
  34. 45
  35. Obtuse
  36. 30
  37. 270
  38. 30
  39. 120
  40. 240

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