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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 542 · 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.An angle measures 255°. What kind of angle is it? (a) Acute (b) Straight (c) Reflex
  2. 2.An angle measures 20°. What kind of angle is it? (a) Acute (b) Right (c) Obtuse
  3. 3.The minute hand of a clock turns clockwise from 4 to 1. How many degrees does it turn?
  4. 4.Three angles together make a straight line. Two of them are 75° and 70°. What is the third angle (in degrees)?
  5. 5.Three angles together make a straight line. Two of them are 20° and 150°. What is the third angle (in degrees)?
  6. 6.An angle measures 210°. What kind of angle is it? (a) Obtuse (b) Right (c) Reflex
  7. 7.Three angles together make a straight line. Two of them are 60° and 15°. What is the third angle (in degrees)?
  8. 8.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  9. 9.An angle measures 15°. What kind of angle is it? (a) Acute (b) Obtuse (c) Reflex
  10. 10.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) North (c) East (d) South
  11. 11.An angle measures 60°. What kind of angle is it? (a) Straight (b) Reflex (c) Acute
  12. 12.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) South (c) East (d) West
  13. 13.Three angles together make a straight line. Two of them are 50° and 55°. What is the third angle (in degrees)?
  14. 14.You face West and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) East (c) West (d) North
  15. 15.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  16. 16.Four angles meet at a point. Three of them are 100°, 50° and 160°. What is the fourth angle (in degrees)?
  17. 17.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) East (c) North (d) West
  18. 18.Four angles meet at a point. Three of them are 90°, 70° and 110°. What is the fourth angle (in degrees)?
  19. 19.You face West and turn clockwise through 90°. Which direction do you face now? (a) South (b) West (c) North (d) East
  20. 20.Four angles meet at a point. Three of them are 80°, 100° and 60°. What is the fourth angle (in degrees)?
  21. 21.The minute hand of a clock turns clockwise from 1 to 11. How many degrees does it turn?
  22. 22.Four angles meet at a point. Three of them are 70°, 70° and 90°. What is the fourth angle (in degrees)?
  23. 23.Four angles meet at a point. Three of them are 70°, 70° and 210°. What is the fourth angle (in degrees)?
  24. 24.The minute hand of a clock turns clockwise from 12 to 6. How many degrees does it turn?
  25. 25.Four angles meet at a point. Three of them are 100°, 50° and 150°. What is the fourth angle (in degrees)?
  26. 26.The minute hand of a clock turns clockwise from 12 to 1. How many degrees does it turn?
  27. 27.Three angles together make a straight line. Two of them are 95° and 50°. What is the third angle (in degrees)?
  28. 28.The minute hand of a clock turns clockwise from 11 to 1. How many degrees does it turn?
  29. 29.Four angles meet at a point. Three of them are 80°, 50° and 120°. What is the fourth angle (in degrees)?
  30. 30.The minute hand of a clock turns clockwise from 6 to 3. How many degrees does it turn?
  31. 31.An angle measures 315°. What kind of angle is it? (a) Acute (b) Reflex (c) Obtuse
  32. 32.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) South (c) North (d) East
  33. 33.An angle measures 180°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Straight
  34. 34.The minute hand of a clock turns clockwise from 3 to 1. How many degrees does it turn?
  35. 35.Three angles together make a straight line. Two of them are 15° and 140°. What is the third angle (in degrees)?
  36. 36.Three angles together make a straight line. Two of them are 50° and 30°. What is the third angle (in degrees)?
  37. 37.The minute hand of a clock turns clockwise from 11 to 7. How many degrees does it turn?
  38. 38.Three angles together make a straight line. Two of them are 55° and 80°. What is the third angle (in degrees)?
  39. 39.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  40. 40.Four angles meet at a point. Three of them are 50°, 40° and 250°. What is the fourth angle (in degrees)?

Answer key

  1. Reflex
  2. Acute
  3. 270
  4. 35
  5. 10
  6. Reflex
  7. 105
  8. 30
  9. Acute
  10. North
  11. Acute
  12. West
  13. 75
  14. East
  15. 60
  16. 50
  17. South
  18. 90
  19. North
  20. 120
  21. 300
  22. 130
  23. 10
  24. 180
  25. 60
  26. 30
  27. 35
  28. 60
  29. 110
  30. 270
  31. Reflex
  32. South
  33. Straight
  34. 300
  35. 25
  36. 100
  37. 240
  38. 45
  39. 120
  40. 20

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