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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 415 · 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.Three angles together make a straight line. Two of them are 20° and 25°. What is the third angle (in degrees)?
  2. 2.Three angles together make a straight line. Two of them are 50° and 15°. What is the third angle (in degrees)?
  3. 3.An angle measures 180°. What kind of angle is it? (a) Right (b) Straight (c) Reflex
  4. 4.The minute hand of a clock turns clockwise from 5 to 9. How many degrees does it turn?
  5. 5.You face North and turn clockwise through 180°. Which direction do you face now? (a) East (b) North (c) South (d) West
  6. 6.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  7. 7.An angle measures 260°. What kind of angle is it? (a) Acute (b) Reflex (c) Right
  8. 8.The minute hand of a clock turns clockwise from 2 to 4. How many degrees does it turn?
  9. 9.The minute hand of a clock turns clockwise from 1 to 10. How many degrees does it turn?
  10. 10.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  11. 11.An angle measures 310°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Acute
  12. 12.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) West (c) North (d) East
  13. 13.Three angles together make a straight line. Two of them are 15° and 85°. What is the third angle (in degrees)?
  14. 14.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) East (c) North (d) South
  15. 15.You face West and turn clockwise through 90°. Which direction do you face now? (a) East (b) West (c) North (d) South
  16. 16.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  17. 17.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  18. 18.An angle measures 110°. What kind of angle is it? (a) Straight (b) Acute (c) Obtuse
  19. 19.The minute hand of a clock turns clockwise from 10 to 12. How many degrees does it turn?
  20. 20.The minute hand of a clock turns clockwise from 2 to 5. How many degrees does it turn?
  21. 21.An angle measures 190°. What kind of angle is it? (a) Obtuse (b) Acute (c) Reflex
  22. 22.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  23. 23.Four angles meet at a point. Three of them are 50°, 70° and 190°. What is the fourth angle (in degrees)?
  24. 24.Four angles meet at a point. Three of them are 50°, 40° and 90°. What is the fourth angle (in degrees)?
  25. 25.An angle measures 90°. What kind of angle is it? (a) Obtuse (b) Acute (c) Right
  26. 26.An angle measures 165°. What kind of angle is it? (a) Acute (b) Obtuse (c) Reflex
  27. 27.You face East and turn clockwise through 180°. Which direction do you face now? (a) West (b) North (c) South (d) East
  28. 28.The minute hand of a clock turns clockwise from 3 to 2. How many degrees does it turn?
  29. 29.Three angles together make a straight line. Two of them are 40° and 130°. What is the third angle (in degrees)?
  30. 30.Four angles meet at a point. Three of them are 90°, 90° and 70°. What is the fourth angle (in degrees)?
  31. 31.You face North and turn clockwise through 90°. Which direction do you face now? (a) East (b) West (c) South (d) North
  32. 32.An angle measures 235°. What kind of angle is it? (a) Acute (b) Obtuse (c) Reflex
  33. 33.The minute hand of a clock turns clockwise from 9 to 8. How many degrees does it turn?
  34. 34.Three angles together make a straight line. Two of them are 15° and 45°. What is the third angle (in degrees)?
  35. 35.Three angles together make a straight line. Two of them are 100° and 50°. What is the third angle (in degrees)?
  36. 36.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) East (c) South (d) North
  37. 37.Three angles together make a straight line. Two of them are 25° and 15°. What is the third angle (in degrees)?
  38. 38.The minute hand of a clock turns clockwise from 3 to 5. How many degrees does it turn?
  39. 39.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  40. 40.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) West (c) East (d) South

Answer key

  1. 135
  2. 115
  3. Straight
  4. 120
  5. South
  6. 60
  7. Reflex
  8. 60
  9. 270
  10. 45
  11. Reflex
  12. West
  13. 80
  14. North
  15. North
  16. 120
  17. 15
  18. Obtuse
  19. 60
  20. 90
  21. Reflex
  22. 30
  23. 50
  24. 180
  25. Right
  26. Obtuse
  27. West
  28. 330
  29. 10
  30. 110
  31. East
  32. Reflex
  33. 330
  34. 120
  35. 30
  36. West
  37. 140
  38. 60
  39. 40
  40. South

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