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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 263 · 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) Straight (b) Acute (c) Right
  2. 2.You face West and turn clockwise through 270°. Which direction do you face now? (a) North (b) East (c) West (d) South
  3. 3.An angle measures 350°. What kind of angle is it? (a) Reflex (b) Right (c) Acute
  4. 4.An angle measures 45°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Acute
  5. 5.Four angles meet at a point. Three of them are 70°, 90° and 120°. What is the fourth angle (in degrees)?
  6. 6.The minute hand of a clock turns clockwise from 6 to 12. How many degrees does it turn?
  7. 7.The minute hand of a clock turns clockwise from 6 to 5. How many degrees does it turn?
  8. 8.Four angles meet at a point. Three of them are 40°, 60° and 200°. What is the fourth angle (in degrees)?
  9. 9.An angle measures 105°. What kind of angle is it? (a) Straight (b) Obtuse (c) Right
  10. 10.Four angles meet at a point. Three of them are 90°, 100° and 130°. What is the fourth angle (in degrees)?
  11. 11.The minute hand of a clock turns clockwise from 5 to 10. How many degrees does it turn?
  12. 12.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  13. 13.Four angles meet at a point. Three of them are 40°, 80° and 170°. What is the fourth angle (in degrees)?
  14. 14.Four angles meet at a point. Three of them are 90°, 50° and 60°. What is the fourth angle (in degrees)?
  15. 15.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) East (c) West (d) North
  16. 16.You face East and turn clockwise through 180°. Which direction do you face now? (a) West (b) East (c) North (d) South
  17. 17.An angle measures 165°. What kind of angle is it? (a) Right (b) Obtuse (c) Acute
  18. 18.Three angles together make a straight line. Two of them are 25° and 15°. What is the third angle (in degrees)?
  19. 19.Three angles together make a straight line. Two of them are 90° and 75°. What is the third angle (in degrees)?
  20. 20.Four angles meet at a point. Three of them are 60°, 100° and 90°. What is the fourth angle (in degrees)?
  21. 21.The minute hand of a clock turns clockwise from 1 to 6. How many degrees does it turn?
  22. 22.An angle measures 255°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Straight
  23. 23.Three angles together make a straight line. Two of them are 70° and 35°. What is the third angle (in degrees)?
  24. 24.Three angles together make a straight line. Two of them are 45° and 40°. What is the third angle (in degrees)?
  25. 25.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  26. 26.An angle measures 85°. What kind of angle is it? (a) Reflex (b) Acute (c) Straight
  27. 27.Three angles together make a straight line. Two of them are 80° and 10°. What is the third angle (in degrees)?
  28. 28.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  29. 29.Four angles meet at a point. Three of them are 40°, 100° and 60°. What is the fourth angle (in degrees)?
  30. 30.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) South (c) East (d) North
  31. 31.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) West (c) East (d) North
  32. 32.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  33. 33.You face South and turn clockwise through 270°. Which direction do you face now? (a) South (b) West (c) North (d) East
  34. 34.The minute hand of a clock turns clockwise from 12 to 10. How many degrees does it turn?
  35. 35.The minute hand of a clock turns clockwise from 4 to 5. How many degrees does it turn?
  36. 36.An angle measures 135°. What kind of angle is it? (a) Right (b) Straight (c) Obtuse
  37. 37.An angle measures 175°. What kind of angle is it? (a) Right (b) Straight (c) Obtuse
  38. 38.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  39. 39.An angle measures 155°. What kind of angle is it? (a) Straight (b) Right (c) Obtuse
  40. 40.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?

Answer key

  1. Straight
  2. South
  3. Reflex
  4. Acute
  5. 80
  6. 180
  7. 330
  8. 60
  9. Obtuse
  10. 40
  11. 150
  12. 20
  13. 70
  14. 160
  15. East
  16. West
  17. Obtuse
  18. 140
  19. 15
  20. 110
  21. 150
  22. Reflex
  23. 75
  24. 95
  25. 120
  26. Acute
  27. 90
  28. 60
  29. 160
  30. South
  31. East
  32. 60
  33. East
  34. 300
  35. 30
  36. Obtuse
  37. Obtuse
  38. 36
  39. Obtuse
  40. 45

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