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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 721 · 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.

NameDateTime takenScore ___ / 40
  1. 1.Three angles together make a straight line. Two of them are 15° and 50°. What is the third angle (in degrees)?
  2. 2.Four angles meet at a point. Three of them are 100°, 100° and 40°. What is the fourth angle (in degrees)?
  3. 3.Three angles together make a straight line. Two of them are 20° and 65°. What is the third angle (in degrees)?
  4. 4.Four angles meet at a point. Three of them are 30°, 50° and 210°. What is the fourth angle (in degrees)?
  5. 5.Four angles meet at a point. Three of them are 70°, 90° and 30°. What is the fourth angle (in degrees)?
  6. 6.The minute hand of a clock turns clockwise from 1 to 2. How many degrees does it turn?
  7. 7.The minute hand of a clock turns clockwise from 12 to 11. How many degrees does it turn?
  8. 8.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  9. 9.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  10. 10.You face West and turn clockwise through 90°. Which direction do you face now? (a) West (b) North (c) South (d) East
  11. 11.The minute hand of a clock turns clockwise from 7 to 10. How many degrees does it turn?
  12. 12.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  13. 13.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  14. 14.Four angles meet at a point. Three of them are 70°, 30° and 140°. What is the fourth angle (in degrees)?
  15. 15.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  16. 16.The minute hand of a clock turns clockwise from 12 to 4. How many degrees does it turn?
  17. 17.Four angles meet at a point. Three of them are 60°, 50° and 150°. What is the fourth angle (in degrees)?
  18. 18.An angle measures 105°. What kind of angle is it? (a) Straight (b) Acute (c) Obtuse
  19. 19.The minute hand of a clock turns clockwise from 9 to 7. How many degrees does it turn?
  20. 20.An angle measures 135°. What kind of angle is it? (a) Straight (b) Acute (c) Obtuse
  21. 21.You face West and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) North (c) East (d) West
  22. 22.An angle measures 180°. What kind of angle is it? (a) Acute (b) Straight (c) Reflex
  23. 23.Four angles meet at a point. Three of them are 30°, 70° and 190°. What is the fourth angle (in degrees)?
  24. 24.Three angles together make a straight line. Two of them are 35° and 125°. What is the third angle (in degrees)?
  25. 25.Four angles meet at a point. Three of them are 40°, 30° and 230°. What is the fourth angle (in degrees)?
  26. 26.An angle measures 90°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Right
  27. 27.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) West (c) North (d) South
  28. 28.The minute hand of a clock turns clockwise from 2 to 7. How many degrees does it turn?
  29. 29.You face South and turn clockwise through 180°. Which direction do you face now? (a) North (b) South (c) West (d) East
  30. 30.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  31. 31.Four angles meet at a point. Three of them are 100°, 80° and 50°. What is the fourth angle (in degrees)?
  32. 32.Four angles meet at a point. Three of them are 30°, 90° and 30°. What is the fourth angle (in degrees)?
  33. 33.The minute hand of a clock turns clockwise from 8 to 1. How many degrees does it turn?
  34. 34.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  35. 35.Four angles meet at a point. Three of them are 90°, 80° and 100°. What is the fourth angle (in degrees)?
  36. 36.You face South and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) North (c) West (d) East
  37. 37.Three angles together make a straight line. Two of them are 40° and 125°. What is the third angle (in degrees)?
  38. 38.Four angles meet at a point. Three of them are 60°, 50° and 120°. What is the fourth angle (in degrees)?
  39. 39.Four angles meet at a point. Three of them are 100°, 90° and 60°. What is the fourth angle (in degrees)?
  40. 40.You face East and turn clockwise through 180°. Which direction do you face now? (a) South (b) East (c) North (d) West

Answer key

  1. 115
  2. 120
  3. 95
  4. 70
  5. 170
  6. 30
  7. 330
  8. 30
  9. 36
  10. North
  11. 90
  12. 90
  13. 30
  14. 120
  15. 18
  16. 120
  17. 100
  18. Obtuse
  19. 300
  20. Obtuse
  21. East
  22. Straight
  23. 70
  24. 20
  25. 60
  26. Right
  27. West
  28. 150
  29. North
  30. 90
  31. 130
  32. 210
  33. 150
  34. 60
  35. 90
  36. North
  37. 15
  38. 130
  39. 110
  40. West

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