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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 37 · 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 100°, 80° and 150°. What is the fourth angle (in degrees)?
  2. 2.An angle measures 60°. What kind of angle is it? (a) Right (b) Reflex (c) Acute
  3. 3.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  4. 4.Three angles together make a straight line. Two of them are 60° and 90°. What is the third angle (in degrees)?
  5. 5.Four angles meet at a point. Three of them are 30°, 70° and 140°. What is the fourth angle (in degrees)?
  6. 6.An angle measures 275°. What kind of angle is it? (a) Straight (b) Reflex (c) Right
  7. 7.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) East (c) West (d) North
  8. 8.An angle measures 215°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Acute
  9. 9.An angle measures 190°. What kind of angle is it? (a) Acute (b) Obtuse (c) Reflex
  10. 10.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  11. 11.An angle measures 55°. What kind of angle is it? (a) Acute (b) Straight (c) Obtuse
  12. 12.Three angles together make a straight line. Two of them are 35° and 120°. What is the third angle (in degrees)?
  13. 13.The minute hand of a clock turns clockwise from 12 to 1. How many degrees does it turn?
  14. 14.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  15. 15.You face North and turn clockwise through 270°. Which direction do you face now? (a) East (b) North (c) West (d) South
  16. 16.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  17. 17.An angle measures 75°. What kind of angle is it? (a) Straight (b) Acute (c) Obtuse
  18. 18.Three angles together make a straight line. Two of them are 10° and 160°. What is the third angle (in degrees)?
  19. 19.You face South and turn clockwise through 180°. Which direction do you face now? (a) South (b) North (c) West (d) East
  20. 20.Four angles meet at a point. Three of them are 100°, 40° and 110°. What is the fourth angle (in degrees)?
  21. 21.The minute hand of a clock turns clockwise from 5 to 1. How many degrees does it turn?
  22. 22.The minute hand of a clock turns clockwise from 3 to 5. How many degrees does it turn?
  23. 23.The minute hand of a clock turns clockwise from 2 to 12. How many degrees does it turn?
  24. 24.Four angles meet at a point. Three of them are 100°, 100° and 100°. What is the fourth angle (in degrees)?
  25. 25.Three angles together make a straight line. Two of them are 15° and 60°. What is the third angle (in degrees)?
  26. 26.An angle measures 145°. What kind of angle is it? (a) Straight (b) Reflex (c) Obtuse
  27. 27.An angle measures 220°. What kind of angle is it? (a) Right (b) Reflex (c) Acute
  28. 28.Three angles together make a straight line. Two of them are 85° and 45°. What is the third angle (in degrees)?
  29. 29.Four angles meet at a point. Three of them are 30°, 40° and 50°. What is the fourth angle (in degrees)?
  30. 30.Three angles together make a straight line. Two of them are 60° and 55°. What is the third angle (in degrees)?
  31. 31.Four angles meet at a point. Three of them are 100°, 90° and 30°. What is the fourth angle (in degrees)?
  32. 32.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  33. 33.Four angles meet at a point. Three of them are 30°, 90° and 200°. What is the fourth angle (in degrees)?
  34. 34.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  35. 35.Four angles meet at a point. Three of them are 100°, 50° and 140°. What is the fourth angle (in degrees)?
  36. 36.An angle measures 110°. What kind of angle is it? (a) Obtuse (b) Acute (c) Right
  37. 37.An angle measures 20°. What kind of angle is it? (a) Reflex (b) Straight (c) Acute
  38. 38.An angle measures 35°. What kind of angle is it? (a) Right (b) Obtuse (c) Acute
  39. 39.Three angles together make a straight line. Two of them are 70° and 65°. What is the third angle (in degrees)?
  40. 40.The minute hand of a clock turns clockwise from 3 to 6. How many degrees does it turn?

Answer key

  1. 30
  2. Acute
  3. 36
  4. 30
  5. 120
  6. Reflex
  7. North
  8. Reflex
  9. Reflex
  10. 60
  11. Acute
  12. 25
  13. 30
  14. 40
  15. West
  16. 45
  17. Acute
  18. 10
  19. North
  20. 110
  21. 240
  22. 60
  23. 300
  24. 60
  25. 105
  26. Obtuse
  27. Reflex
  28. 50
  29. 240
  30. 65
  31. 140
  32. 15
  33. 40
  34. 30
  35. 70
  36. Obtuse
  37. Acute
  38. Acute
  39. 45
  40. 90

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