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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 871 · 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.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  2. 2.Four angles meet at a point. Three of them are 50°, 60° and 130°. What is the fourth angle (in degrees)?
  3. 3.An angle measures 180°. What kind of angle is it? (a) Straight (b) Obtuse (c) Right
  4. 4.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  5. 5.Four angles meet at a point. Three of them are 40°, 100° and 30°. What is the fourth angle (in degrees)?
  6. 6.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  7. 7.The minute hand of a clock turns clockwise from 3 to 5. How many degrees does it turn?
  8. 8.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  9. 9.Four angles meet at a point. Three of them are 100°, 90° and 150°. What is the fourth angle (in degrees)?
  10. 10.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  11. 11.Three angles together make a straight line. Two of them are 20° and 85°. What is the third angle (in degrees)?
  12. 12.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) West (c) South (d) East
  13. 13.The minute hand of a clock turns clockwise from 1 to 8. How many degrees does it turn?
  14. 14.The minute hand of a clock turns clockwise from 5 to 12. How many degrees does it turn?
  15. 15.The minute hand of a clock turns clockwise from 4 to 5. How many degrees does it turn?
  16. 16.An angle measures 45°. What kind of angle is it? (a) Straight (b) Acute (c) Right
  17. 17.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  18. 18.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  19. 19.Three angles together make a straight line. Two of them are 20° and 125°. What is the third angle (in degrees)?
  20. 20.You face East and turn clockwise through 180°. Which direction do you face now? (a) South (b) West (c) East (d) North
  21. 21.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) West (c) East (d) North
  22. 22.An angle measures 335°. What kind of angle is it? (a) Right (b) Acute (c) Reflex
  23. 23.Three angles together make a straight line. Two of them are 60° and 55°. What is the third angle (in degrees)?
  24. 24.The minute hand of a clock turns clockwise from 8 to 3. How many degrees does it turn?
  25. 25.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) South (c) North (d) East
  26. 26.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) North (b) South (c) West (d) East
  27. 27.Three angles together make a straight line. Two of them are 45° and 110°. What is the third angle (in degrees)?
  28. 28.The minute hand of a clock turns clockwise from 10 to 7. How many degrees does it turn?
  29. 29.Three angles together make a straight line. Two of them are 25° and 95°. What is the third angle (in degrees)?
  30. 30.The minute hand of a clock turns clockwise from 11 to 10. How many degrees does it turn?
  31. 31.Three angles together make a straight line. Two of them are 95° and 30°. What is the third angle (in degrees)?
  32. 32.Three angles together make a straight line. Two of them are 85° and 30°. What is the third angle (in degrees)?
  33. 33.Four angles meet at a point. Three of them are 50°, 60° and 110°. What is the fourth angle (in degrees)?
  34. 34.The minute hand of a clock turns clockwise from 11 to 3. How many degrees does it turn?
  35. 35.You face South and turn anticlockwise through 180°. Which direction do you face now? (a) North (b) West (c) South (d) East
  36. 36.Four angles meet at a point. Three of them are 70°, 50° and 100°. What is the fourth angle (in degrees)?
  37. 37.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  38. 38.Three angles together make a straight line. Two of them are 25° and 145°. What is the third angle (in degrees)?
  39. 39.An angle measures 125°. What kind of angle is it? (a) Straight (b) Obtuse (c) Right
  40. 40.The minute hand of a clock turns clockwise from 11 to 5. How many degrees does it turn?

Answer key

  1. 20
  2. 120
  3. Straight
  4. 60
  5. 190
  6. 18
  7. 60
  8. 15
  9. 20
  10. 72
  11. 75
  12. West
  13. 210
  14. 210
  15. 30
  16. Acute
  17. 60
  18. 30
  19. 35
  20. West
  21. West
  22. Reflex
  23. 65
  24. 210
  25. East
  26. South
  27. 25
  28. 270
  29. 60
  30. 330
  31. 55
  32. 65
  33. 140
  34. 120
  35. North
  36. 140
  37. 30
  38. 10
  39. Obtuse
  40. 180

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