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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 797 · 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.Four angles meet at a point. Three of them are 30°, 40° and 280°. What is the fourth angle (in degrees)?
  2. 2.Three angles together make a straight line. Two of them are 85° and 25°. What is the third angle (in degrees)?
  3. 3.Three angles together make a straight line. Two of them are 10° and 25°. What is the third angle (in degrees)?
  4. 4.Four angles meet at a point. Three of them are 90°, 40° and 200°. What is the fourth angle (in degrees)?
  5. 5.Three angles together make a straight line. Two of them are 95° and 55°. What is the third angle (in degrees)?
  6. 6.Three angles together make a straight line. Two of them are 65° and 35°. What is the third angle (in degrees)?
  7. 7.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) East (c) West (d) North
  8. 8.An angle measures 60°. What kind of angle is it? (a) Acute (b) Straight (c) Right
  9. 9.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  10. 10.An angle measures 90°. What kind of angle is it? (a) Obtuse (b) Acute (c) Right
  11. 11.Four angles meet at a point. Three of them are 40°, 30° and 130°. What is the fourth angle (in degrees)?
  12. 12.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  13. 13.You face North and turn clockwise through 270°. Which direction do you face now? (a) South (b) East (c) North (d) West
  14. 14.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  15. 15.You face South and turn clockwise through 270°. Which direction do you face now? (a) North (b) South (c) East (d) West
  16. 16.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  17. 17.Four angles meet at a point. Three of them are 60°, 60° and 60°. What is the fourth angle (in degrees)?
  18. 18.Four angles meet at a point. Three of them are 30°, 70° and 110°. What is the fourth angle (in degrees)?
  19. 19.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  20. 20.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  21. 21.An angle measures 220°. What kind of angle is it? (a) Reflex (b) Right (c) Acute
  22. 22.An angle measures 180°. What kind of angle is it? (a) Straight (b) Obtuse (c) Reflex
  23. 23.An angle measures 120°. What kind of angle is it? (a) Acute (b) Obtuse (c) Right
  24. 24.Four angles meet at a point. Three of them are 90°, 80° and 80°. What is the fourth angle (in degrees)?
  25. 25.The minute hand of a clock turns clockwise from 12 to 11. How many degrees does it turn?
  26. 26.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) West (c) North (d) East
  27. 27.The minute hand of a clock turns clockwise from 10 to 6. How many degrees does it turn?
  28. 28.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  29. 29.Three angles together make a straight line. Two of them are 85° and 80°. What is the third angle (in degrees)?
  30. 30.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  31. 31.An angle measures 270°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Acute
  32. 32.An angle measures 40°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Acute
  33. 33.Four angles meet at a point. Three of them are 70°, 100° and 110°. What is the fourth angle (in degrees)?
  34. 34.Three angles together make a straight line. Two of them are 75° and 10°. What is the third angle (in degrees)?
  35. 35.Four angles meet at a point. Three of them are 40°, 70° and 50°. What is the fourth angle (in degrees)?
  36. 36.The minute hand of a clock turns clockwise from 6 to 7. How many degrees does it turn?
  37. 37.Three angles together make a straight line. Two of them are 65° and 105°. What is the third angle (in degrees)?
  38. 38.The minute hand of a clock turns clockwise from 6 to 9. How many degrees does it turn?
  39. 39.You face West and turn clockwise through 90°. Which direction do you face now? (a) East (b) South (c) West (d) North
  40. 40.Four angles meet at a point. Three of them are 80°, 40° and 160°. What is the fourth angle (in degrees)?

Answer key

  1. 10
  2. 70
  3. 145
  4. 30
  5. 30
  6. 80
  7. West
  8. Acute
  9. 60
  10. Right
  11. 160
  12. 45
  13. West
  14. 72
  15. East
  16. 40
  17. 180
  18. 150
  19. 36
  20. 15
  21. Reflex
  22. Straight
  23. Obtuse
  24. 110
  25. 330
  26. South
  27. 240
  28. 90
  29. 15
  30. 30
  31. Reflex
  32. Acute
  33. 80
  34. 95
  35. 200
  36. 30
  37. 10
  38. 90
  39. North
  40. 80

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