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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 434 · 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 5 equal angles. How big is each angle (in degrees)?
  2. 2.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) North (c) West (d) East
  3. 3.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  4. 4.The minute hand of a clock turns clockwise from 12 to 1. How many degrees does it turn?
  5. 5.Four angles meet at a point. Three of them are 80°, 70° and 50°. What is the fourth angle (in degrees)?
  6. 6.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  7. 7.The minute hand of a clock turns clockwise from 5 to 10. How many degrees does it turn?
  8. 8.The minute hand of a clock turns clockwise from 2 to 3. How many degrees does it turn?
  9. 9.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  10. 10.Three angles together make a straight line. Two of them are 20° and 105°. What is the third angle (in degrees)?
  11. 11.Four angles meet at a point. Three of them are 50°, 60° and 60°. What is the fourth angle (in degrees)?
  12. 12.Three angles together make a straight line. Two of them are 70° and 20°. What is the third angle (in degrees)?
  13. 13.Three angles together make a straight line. Two of them are 80° and 35°. What is the third angle (in degrees)?
  14. 14.Four angles meet at a point. Three of them are 100°, 40° and 100°. What is the fourth angle (in degrees)?
  15. 15.Three angles together make a straight line. Two of them are 15° and 95°. What is the third angle (in degrees)?
  16. 16.An angle measures 90°. What kind of angle is it? (a) Acute (b) Reflex (c) Right
  17. 17.An angle measures 315°. What kind of angle is it? (a) Reflex (b) Right (c) Acute
  18. 18.The minute hand of a clock turns clockwise from 8 to 9. How many degrees does it turn?
  19. 19.You face North and turn clockwise through 180°. Which direction do you face now? (a) East (b) North (c) South (d) West
  20. 20.Four angles meet at a point. Three of them are 70°, 90° and 60°. What is the fourth angle (in degrees)?
  21. 21.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  22. 22.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  23. 23.You face West and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) East (c) West (d) North
  24. 24.Three angles together make a straight line. Two of them are 10° and 45°. What is the third angle (in degrees)?
  25. 25.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  26. 26.Four angles meet at a point. Three of them are 50°, 60° and 100°. What is the fourth angle (in degrees)?
  27. 27.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) West (c) South (d) East
  28. 28.You face North and turn clockwise through 90°. Which direction do you face now? (a) East (b) West (c) North (d) South
  29. 29.An angle measures 55°. What kind of angle is it? (a) Acute (b) Straight (c) Right
  30. 30.The minute hand of a clock turns clockwise from 8 to 1. How many degrees does it turn?
  31. 31.Three angles together make a straight line. Two of them are 10° and 20°. What is the third angle (in degrees)?
  32. 32.An angle measures 180°. What kind of angle is it? (a) Right (b) Straight (c) Acute
  33. 33.Three angles together make a straight line. Two of them are 15° and 75°. What is the third angle (in degrees)?
  34. 34.Three angles together make a straight line. Two of them are 45° and 90°. What is the third angle (in degrees)?
  35. 35.Three angles together make a straight line. Two of them are 15° and 20°. What is the third angle (in degrees)?
  36. 36.Four angles meet at a point. Three of them are 100°, 100° and 150°. What is the fourth angle (in degrees)?
  37. 37.Four angles meet at a point. Three of them are 80°, 70° and 90°. What is the fourth angle (in degrees)?
  38. 38.Three angles together make a straight line. Two of them are 100° and 40°. What is the third angle (in degrees)?
  39. 39.An angle measures 15°. What kind of angle is it? (a) Right (b) Obtuse (c) Acute
  40. 40.The minute hand of a clock turns clockwise from 1 to 11. How many degrees does it turn?

Answer key

  1. 72
  2. East
  3. 20
  4. 30
  5. 160
  6. 30
  7. 150
  8. 30
  9. 45
  10. 55
  11. 190
  12. 90
  13. 65
  14. 120
  15. 70
  16. Right
  17. Reflex
  18. 30
  19. South
  20. 140
  21. 40
  22. 18
  23. North
  24. 125
  25. 60
  26. 150
  27. West
  28. East
  29. Acute
  30. 150
  31. 150
  32. Straight
  33. 90
  34. 45
  35. 145
  36. 10
  37. 120
  38. 40
  39. Acute
  40. 300

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