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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 87 · 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.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  2. 2.You face West and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) North (c) South (d) East
  3. 3.Three angles together make a straight line. Two of them are 90° and 25°. What is the third angle (in degrees)?
  4. 4.Four angles meet at a point. Three of them are 60°, 90° and 30°. What is the fourth angle (in degrees)?
  5. 5.You face South and turn clockwise through 90°. Which direction do you face now? (a) East (b) North (c) West (d) South
  6. 6.An angle measures 90°. What kind of angle is it? (a) Obtuse (b) Acute (c) Right
  7. 7.Three angles together make a straight line. Two of them are 85° and 70°. What is the third angle (in degrees)?
  8. 8.Three angles together make a straight line. Two of them are 95° and 50°. What is the third angle (in degrees)?
  9. 9.Three angles together make a straight line. Two of them are 65° and 100°. What is the third angle (in degrees)?
  10. 10.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) South (c) North (d) West
  11. 11.The minute hand of a clock turns clockwise from 4 to 3. How many degrees does it turn?
  12. 12.An angle measures 180°. What kind of angle is it? (a) Straight (b) Obtuse (c) Acute
  13. 13.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  14. 14.Four angles meet at a point. Three of them are 90°, 70° and 40°. What is the fourth angle (in degrees)?
  15. 15.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  16. 16.An angle measures 320°. What kind of angle is it? (a) Reflex (b) Acute (c) Right
  17. 17.The minute hand of a clock turns clockwise from 2 to 1. How many degrees does it turn?
  18. 18.Three angles together make a straight line. Two of them are 75° and 20°. What is the third angle (in degrees)?
  19. 19.Three angles together make a straight line. Two of them are 85° and 25°. What is the third angle (in degrees)?
  20. 20.The minute hand of a clock turns clockwise from 2 to 12. How many degrees does it turn?
  21. 21.An angle measures 100°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Right
  22. 22.The minute hand of a clock turns clockwise from 4 to 1. How many degrees does it turn?
  23. 23.The minute hand of a clock turns clockwise from 1 to 4. How many degrees does it turn?
  24. 24.Three angles together make a straight line. Two of them are 75° and 65°. What is the third angle (in degrees)?
  25. 25.Three angles together make a straight line. Two of them are 50° and 55°. What is the third angle (in degrees)?
  26. 26.Four angles meet at a point. Three of them are 100°, 100° and 30°. What is the fourth angle (in degrees)?
  27. 27.Four angles meet at a point. Three of them are 90°, 90° and 60°. What is the fourth angle (in degrees)?
  28. 28.An angle measures 110°. What kind of angle is it? (a) Acute (b) Obtuse (c) Reflex
  29. 29.Four angles meet at a point. Three of them are 80°, 90° and 60°. What is the fourth angle (in degrees)?
  30. 30.The minute hand of a clock turns clockwise from 10 to 6. How many degrees does it turn?
  31. 31.An angle measures 165°. What kind of angle is it? (a) Acute (b) Right (c) Obtuse
  32. 32.Three angles together make a straight line. Two of them are 80° and 25°. What is the third angle (in degrees)?
  33. 33.The minute hand of a clock turns clockwise from 10 to 11. How many degrees does it turn?
  34. 34.Three angles together make a straight line. Two of them are 20° and 15°. What is the third angle (in degrees)?
  35. 35.You face North and turn clockwise through 270°. Which direction do you face now? (a) East (b) South (c) North (d) West
  36. 36.Three angles together make a straight line. Two of them are 95° and 35°. What is the third angle (in degrees)?
  37. 37.The minute hand of a clock turns clockwise from 8 to 12. How many degrees does it turn?
  38. 38.Four angles meet at a point. Three of them are 50°, 90° and 60°. What is the fourth angle (in degrees)?
  39. 39.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) East (c) South (d) West
  40. 40.Four angles meet at a point. Three of them are 70°, 70° and 180°. What is the fourth angle (in degrees)?

Answer key

  1. 60
  2. North
  3. 65
  4. 180
  5. West
  6. Right
  7. 25
  8. 35
  9. 15
  10. North
  11. 330
  12. Straight
  13. 18
  14. 160
  15. 60
  16. Reflex
  17. 330
  18. 85
  19. 70
  20. 300
  21. Obtuse
  22. 270
  23. 90
  24. 40
  25. 75
  26. 130
  27. 120
  28. Obtuse
  29. 130
  30. 240
  31. Obtuse
  32. 75
  33. 30
  34. 145
  35. West
  36. 50
  37. 120
  38. 160
  39. East
  40. 40

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