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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 828 · 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.

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  1. 1.You face West and turn clockwise through 270°. Which direction do you face now? (a) West (b) South (c) North (d) East
  2. 2.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  3. 3.An angle measures 120°. What kind of angle is it? (a) Reflex (b) Acute (c) Obtuse
  4. 4.Three angles together make a straight line. Two of them are 70° and 100°. What is the third angle (in degrees)?
  5. 5.Three angles together make a straight line. Two of them are 80° and 50°. What is the third angle (in degrees)?
  6. 6.Three angles together make a straight line. Two of them are 20° and 130°. What is the third angle (in degrees)?
  7. 7.Four angles meet at a point. Three of them are 80°, 70° and 150°. What is the fourth angle (in degrees)?
  8. 8.You face North and turn clockwise through 180°. Which direction do you face now? (a) North (b) East (c) South (d) West
  9. 9.Three angles together make a straight line. Two of them are 15° and 130°. What is the third angle (in degrees)?
  10. 10.An angle measures 10°. What kind of angle is it? (a) Acute (b) Straight (c) Reflex
  11. 11.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  12. 12.Three angles together make a straight line. Two of them are 25° and 85°. What is the third angle (in degrees)?
  13. 13.Three angles together make a straight line. Two of them are 85° and 10°. What is the third angle (in degrees)?
  14. 14.An angle measures 180°. What kind of angle is it? (a) Acute (b) Right (c) Straight
  15. 15.The minute hand of a clock turns clockwise from 1 to 10. How many degrees does it turn?
  16. 16.The minute hand of a clock turns clockwise from 9 to 12. How many degrees does it turn?
  17. 17.An angle measures 20°. What kind of angle is it? (a) Acute (b) Right (c) Straight
  18. 18.Four angles meet at a point. Three of them are 60°, 70° and 190°. What is the fourth angle (in degrees)?
  19. 19.An angle measures 90°. What kind of angle is it? (a) Acute (b) Obtuse (c) Right
  20. 20.Four angles meet at a point. Three of them are 30°, 70° and 70°. What is the fourth angle (in degrees)?
  21. 21.Four angles meet at a point. Three of them are 70°, 100° and 130°. What is the fourth angle (in degrees)?
  22. 22.The minute hand of a clock turns clockwise from 5 to 9. How many degrees does it turn?
  23. 23.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  24. 24.Four angles meet at a point. Three of them are 70°, 50° and 230°. What is the fourth angle (in degrees)?
  25. 25.Three angles together make a straight line. Two of them are 75° and 95°. What is the third angle (in degrees)?
  26. 26.Four angles meet at a point. Three of them are 30°, 90° and 130°. What is the fourth angle (in degrees)?
  27. 27.The minute hand of a clock turns clockwise from 12 to 8. How many degrees does it turn?
  28. 28.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) East (c) South (d) North
  29. 29.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) West (c) North (d) East
  30. 30.An angle measures 270°. What kind of angle is it? (a) Right (b) Reflex (c) Straight
  31. 31.Four angles meet at a point. Three of them are 90°, 30° and 170°. What is the fourth angle (in degrees)?
  32. 32.Three angles together make a straight line. Two of them are 35° and 20°. What is the third angle (in degrees)?
  33. 33.Four angles meet at a point. Three of them are 30°, 60° and 200°. What is the fourth angle (in degrees)?
  34. 34.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) East (c) North (d) South
  35. 35.The minute hand of a clock turns clockwise from 5 to 12. How many degrees does it turn?
  36. 36.The minute hand of a clock turns clockwise from 6 to 9. How many degrees does it turn?
  37. 37.Three angles together make a straight line. Two of them are 90° and 50°. What is the third angle (in degrees)?
  38. 38.The minute hand of a clock turns clockwise from 10 to 12. How many degrees does it turn?
  39. 39.You face South and turn clockwise through 90°. Which direction do you face now? (a) North (b) West (c) East (d) South
  40. 40.The minute hand of a clock turns clockwise from 8 to 9. How many degrees does it turn?

Answer key

  1. South
  2. 45
  3. Obtuse
  4. 10
  5. 50
  6. 30
  7. 60
  8. South
  9. 35
  10. Acute
  11. 72
  12. 70
  13. 85
  14. Straight
  15. 270
  16. 90
  17. Acute
  18. 40
  19. Right
  20. 190
  21. 60
  22. 120
  23. 30
  24. 10
  25. 10
  26. 110
  27. 240
  28. East
  29. West
  30. Reflex
  31. 70
  32. 125
  33. 70
  34. South
  35. 210
  36. 90
  37. 40
  38. 60
  39. West
  40. 30

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