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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 200 · 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.An angle measures 180°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Straight
  2. 2.Four angles meet at a point. Three of them are 70°, 90° and 50°. What is the fourth angle (in degrees)?
  3. 3.Four angles meet at a point. Three of them are 50°, 60° and 30°. What is the fourth angle (in degrees)?
  4. 4.Three angles together make a straight line. Two of them are 30° and 120°. What is the third angle (in degrees)?
  5. 5.An angle measures 90°. What kind of angle is it? (a) Acute (b) Right (c) Reflex
  6. 6.Three angles together make a straight line. Two of them are 85° and 75°. What is the third angle (in degrees)?
  7. 7.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) East (c) South (d) North
  8. 8.The minute hand of a clock turns clockwise from 11 to 1. How many degrees does it turn?
  9. 9.Three angles together make a straight line. Two of them are 50° and 110°. What is the third angle (in degrees)?
  10. 10.Four angles meet at a point. Three of them are 100°, 100° and 140°. What is the fourth angle (in degrees)?
  11. 11.You face East and turn clockwise through 90°. Which direction do you face now? (a) North (b) South (c) West (d) East
  12. 12.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) West (c) South (d) East
  13. 13.You face West and turn clockwise through 270°. Which direction do you face now? (a) East (b) North (c) South (d) West
  14. 14.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) West (c) South (d) North
  15. 15.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  16. 16.The minute hand of a clock turns clockwise from 5 to 12. How many degrees does it turn?
  17. 17.An angle measures 120°. What kind of angle is it? (a) Straight (b) Acute (c) Obtuse
  18. 18.You face South and turn clockwise through 180°. Which direction do you face now? (a) East (b) South (c) North (d) West
  19. 19.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  20. 20.Three angles together make a straight line. Two of them are 45° and 35°. What is the third angle (in degrees)?
  21. 21.You face North and turn clockwise through 180°. Which direction do you face now? (a) North (b) West (c) East (d) South
  22. 22.The minute hand of a clock turns clockwise from 8 to 1. How many degrees does it turn?
  23. 23.An angle measures 160°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Acute
  24. 24.Three angles together make a straight line. Two of them are 95° and 10°. What is the third angle (in degrees)?
  25. 25.Four angles meet at a point. Three of them are 60°, 50° and 40°. What is the fourth angle (in degrees)?
  26. 26.The minute hand of a clock turns clockwise from 8 to 7. How many degrees does it turn?
  27. 27.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  28. 28.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  29. 29.Three angles together make a straight line. Two of them are 75° and 10°. What is the third angle (in degrees)?
  30. 30.Three angles together make a straight line. Two of them are 85° and 15°. What is the third angle (in degrees)?
  31. 31.Four angles meet at a point. Three of them are 50°, 80° and 220°. What is the fourth angle (in degrees)?
  32. 32.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) South (c) East (d) West
  33. 33.An angle measures 40°. What kind of angle is it? (a) Acute (b) Reflex (c) Obtuse
  34. 34.Three angles together make a straight line. Two of them are 30° and 25°. What is the third angle (in degrees)?
  35. 35.Three angles together make a straight line. Two of them are 60° and 45°. What is the third angle (in degrees)?
  36. 36.The minute hand of a clock turns clockwise from 7 to 6. How many degrees does it turn?
  37. 37.An angle measures 115°. What kind of angle is it? (a) Obtuse (b) Straight (c) Right
  38. 38.Three angles together make a straight line. Two of them are 60° and 95°. What is the third angle (in degrees)?
  39. 39.Four angles meet at a point. Three of them are 100°, 90° and 60°. What is the fourth angle (in degrees)?
  40. 40.Three angles together make a straight line. Two of them are 65° and 20°. What is the third angle (in degrees)?

Answer key

  1. Straight
  2. 150
  3. 220
  4. 30
  5. Right
  6. 20
  7. West
  8. 60
  9. 20
  10. 20
  11. South
  12. East
  13. South
  14. North
  15. 60
  16. 210
  17. Obtuse
  18. North
  19. 60
  20. 100
  21. South
  22. 150
  23. Obtuse
  24. 75
  25. 210
  26. 330
  27. 72
  28. 45
  29. 95
  30. 80
  31. 10
  32. East
  33. Acute
  34. 125
  35. 75
  36. 330
  37. Obtuse
  38. 25
  39. 110
  40. 95

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