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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 803 · 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.You face South and turn clockwise through 270°. Which direction do you face now? (a) West (b) East (c) North (d) South
  2. 2.Four angles meet at a point. Three of them are 80°, 60° and 170°. What is the fourth angle (in degrees)?
  3. 3.Three angles together make a straight line. Two of them are 85° and 45°. What is the third angle (in degrees)?
  4. 4.Three angles together make a straight line. Two of them are 20° and 25°. What is the third angle (in degrees)?
  5. 5.Three angles together make a straight line. Two of them are 55° and 60°. What is the third angle (in degrees)?
  6. 6.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  7. 7.The minute hand of a clock turns clockwise from 7 to 12. How many degrees does it turn?
  8. 8.Four angles meet at a point. Three of them are 70°, 70° and 100°. What is the fourth angle (in degrees)?
  9. 9.The minute hand of a clock turns clockwise from 3 to 12. How many degrees does it turn?
  10. 10.Three angles together make a straight line. Two of them are 90° and 25°. What is the third angle (in degrees)?
  11. 11.The minute hand of a clock turns clockwise from 8 to 6. How many degrees does it turn?
  12. 12.An angle measures 155°. What kind of angle is it? (a) Right (b) Reflex (c) Obtuse
  13. 13.An angle measures 125°. What kind of angle is it? (a) Acute (b) Obtuse (c) Right
  14. 14.Four angles meet at a point. Three of them are 70°, 40° and 230°. What is the fourth angle (in degrees)?
  15. 15.An angle measures 90°. What kind of angle is it? (a) Reflex (b) Acute (c) Right
  16. 16.The minute hand of a clock turns clockwise from 2 to 11. How many degrees does it turn?
  17. 17.Three angles together make a straight line. Two of them are 65° and 15°. What is the third angle (in degrees)?
  18. 18.Four angles meet at a point. Three of them are 30°, 90° and 30°. What is the fourth angle (in degrees)?
  19. 19.Four angles meet at a point. Three of them are 30°, 50° and 80°. What is the fourth angle (in degrees)?
  20. 20.Four angles meet at a point. Three of them are 40°, 90° and 160°. What is the fourth angle (in degrees)?
  21. 21.Four angles meet at a point. Three of them are 100°, 60° and 30°. What is the fourth angle (in degrees)?
  22. 22.Three angles together make a straight line. Two of them are 70° and 15°. What is the third angle (in degrees)?
  23. 23.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  24. 24.An angle measures 175°. What kind of angle is it? (a) Obtuse (b) Acute (c) Right
  25. 25.The minute hand of a clock turns clockwise from 3 to 10. How many degrees does it turn?
  26. 26.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  27. 27.The minute hand of a clock turns clockwise from 8 to 3. How many degrees does it turn?
  28. 28.You face South and turn clockwise through 180°. Which direction do you face now? (a) West (b) South (c) East (d) North
  29. 29.The minute hand of a clock turns clockwise from 8 to 12. How many degrees does it turn?
  30. 30.Four angles meet at a point. Three of them are 40°, 50° and 110°. What is the fourth angle (in degrees)?
  31. 31.An angle measures 25°. What kind of angle is it? (a) Right (b) Acute (c) Obtuse
  32. 32.The minute hand of a clock turns clockwise from 3 to 8. How many degrees does it turn?
  33. 33.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) West (c) North (d) South
  34. 34.An angle measures 80°. What kind of angle is it? (a) Reflex (b) Right (c) Acute
  35. 35.Three angles together make a straight line. Two of them are 85° and 20°. What is the third angle (in degrees)?
  36. 36.An angle measures 210°. What kind of angle is it? (a) Reflex (b) Straight (c) Right
  37. 37.Four angles meet at a point. Three of them are 60°, 60° and 140°. What is the fourth angle (in degrees)?
  38. 38.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  39. 39.An angle measures 180°. What kind of angle is it? (a) Acute (b) Obtuse (c) Straight
  40. 40.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?

Answer key

  1. East
  2. 50
  3. 50
  4. 135
  5. 65
  6. 30
  7. 150
  8. 120
  9. 270
  10. 65
  11. 300
  12. Obtuse
  13. Obtuse
  14. 20
  15. Right
  16. 270
  17. 100
  18. 210
  19. 200
  20. 70
  21. 170
  22. 95
  23. 18
  24. Obtuse
  25. 210
  26. 120
  27. 210
  28. North
  29. 120
  30. 160
  31. Acute
  32. 150
  33. West
  34. Acute
  35. 75
  36. Reflex
  37. 100
  38. 60
  39. Straight
  40. 45

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