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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 28 · 40 sums
TalentJR

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 50° and 120°. What is the third angle (in degrees)?
  2. 2.Four angles meet at a point. Three of them are 30°, 100° and 140°. What is the fourth angle (in degrees)?
  3. 3.You face West and turn clockwise through 90°. Which direction do you face now? (a) West (b) South (c) North (d) East
  4. 4.An angle measures 105°. What kind of angle is it? (a) Acute (b) Reflex (c) Obtuse
  5. 5.Four angles meet at a point. Three of them are 90°, 30° and 120°. What is the fourth angle (in degrees)?
  6. 6.The minute hand of a clock turns clockwise from 12 to 2. How many degrees does it turn?
  7. 7.You face East and turn clockwise through 180°. Which direction do you face now? (a) South (b) North (c) West (d) East
  8. 8.An angle measures 150°. What kind of angle is it? (a) Acute (b) Obtuse (c) Right
  9. 9.The minute hand of a clock turns clockwise from 12 to 6. How many degrees does it turn?
  10. 10.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  11. 11.Three angles together make a straight line. Two of them are 40° and 75°. What is the third angle (in degrees)?
  12. 12.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  13. 13.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  14. 14.You face South and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) East (c) South (d) North
  15. 15.Three angles together make a straight line. Two of them are 50° and 45°. What is the third angle (in degrees)?
  16. 16.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) South (c) West (d) North
  17. 17.An angle measures 90°. What kind of angle is it? (a) Right (b) Obtuse (c) Reflex
  18. 18.You face North and turn clockwise through 270°. Which direction do you face now? (a) East (b) South (c) West (d) North
  19. 19.Four angles meet at a point. Three of them are 40°, 100° and 140°. What is the fourth angle (in degrees)?
  20. 20.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  21. 21.Three angles together make a straight line. Two of them are 80° and 55°. What is the third angle (in degrees)?
  22. 22.Four angles meet at a point. Three of them are 40°, 90° and 170°. What is the fourth angle (in degrees)?
  23. 23.The minute hand of a clock turns clockwise from 9 to 10. How many degrees does it turn?
  24. 24.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  25. 25.The minute hand of a clock turns clockwise from 7 to 4. How many degrees does it turn?
  26. 26.An angle measures 45°. What kind of angle is it? (a) Straight (b) Reflex (c) Acute
  27. 27.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) East (c) South (d) North
  28. 28.The minute hand of a clock turns clockwise from 1 to 4. How many degrees does it turn?
  29. 29.The minute hand of a clock turns clockwise from 1 to 6. How many degrees does it turn?
  30. 30.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) East (c) West (d) North
  31. 31.You face East and turn clockwise through 90°. Which direction do you face now? (a) West (b) North (c) East (d) South
  32. 32.Four angles meet at a point. Three of them are 50°, 80° and 220°. What is the fourth angle (in degrees)?
  33. 33.An angle measures 120°. What kind of angle is it? (a) Right (b) Reflex (c) Obtuse
  34. 34.Three angles together make a straight line. Two of them are 15° and 35°. What is the third angle (in degrees)?
  35. 35.Three angles together make a straight line. Two of them are 85° and 40°. What is the third angle (in degrees)?
  36. 36.The minute hand of a clock turns clockwise from 2 to 11. How many degrees does it turn?
  37. 37.Three angles together make a straight line. Two of them are 15° and 60°. What is the third angle (in degrees)?
  38. 38.An angle measures 245°. What kind of angle is it? (a) Reflex (b) Right (c) Acute
  39. 39.Four angles meet at a point. Three of them are 40°, 30° and 270°. What is the fourth angle (in degrees)?
  40. 40.Four angles meet at a point. Three of them are 40°, 80° and 80°. What is the fourth angle (in degrees)?

Answer key

  1. 10
  2. 90
  3. North
  4. Obtuse
  5. 120
  6. 60
  7. West
  8. Obtuse
  9. 180
  10. 90
  11. 65
  12. 36
  13. 60
  14. North
  15. 85
  16. South
  17. Right
  18. West
  19. 80
  20. 45
  21. 45
  22. 60
  23. 30
  24. 36
  25. 270
  26. Acute
  27. East
  28. 90
  29. 150
  30. West
  31. South
  32. 10
  33. Obtuse
  34. 130
  35. 55
  36. 270
  37. 105
  38. Reflex
  39. 20
  40. 160

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